Doka formwork engineering
Transcription
Doka formwork engineering
Calculation Guide 03/2012 999736002 en-GB Doka formwork engineering 9736174 The Formwork Experts Introduction Calculation Guide Doka formwork engineering Important notice: Reprinting and duplication of this Calculation Guide documentation, even in abridged form, is not permitted without the express prior consent of Doka Industrie GmbH. We reserve the right to make alterations in the interests of technical progress. © by Doka Industrie GmbH, A-3300 Amstetten Introduction 2 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Introduction Contents 4 Eurocodes at Doka 84 Load-bearing tower Staxo 100 6 Rules, standards and reference tables 86 Load-bearing tower Staxo 40 7 Design loads 88 Load-bearing tower d2 12 Structural-design values for Doka system components 90 Back-stays/shoring supports for the loadbearing towers 18 Composite formwork beams 92 Heavy-duty supporting system SL-1 19 Timber formwork beams 96 Bridge edge beam formwork T 20 Formwork sheets 100 Folding platform K 23 Doka floor props Eurex 103 Edge protection system XP 26 Doka floor props Eco 112 Guard rails 28 Doka floor prop Eurex 60 550 30 Form-ties 32 Plumbing accessories 40 Large-area formwork Top 50 115 119 120 124 125 126 129 131 51 Column formwork Formulae and tables Medium flange-width I-beams Wide-flange I-beams Narrow I-beams U-section steel Rectangular shaped tubes Quadratic shaped tubes Hollow profiles (tubes) with circular crosssections Squared timbers Material constants Buckling diagram for rectangular shaped tubes Buckling diagram for quadratic shaped tubes Buckling diagram for steel sections Buckling diagram for U-sections Buckling diagram for tubes Platform decking and edge protection Nailed joins Systems of measuring units Conversion tables 56 Supporting construction frames 62 Dokamatic table 65 Dokaflex table 66 Dokaflex 72 Doka floor end-shutter clamp 74 Guided climbing formwork Xclimb 60 77 Climbing formwork MF 240 80 Climbing formwork 150 F 82 Shaft platform 134 135 136 137 138 139 140 141 143 145 146 999736002 - 03/2012 3 The Formwork Experts Eurocodes at Doka Calculation Guide Doka formwork engineering Eurocodes at Doka Eurocodes at Doka In Europe, a uniform series of Standards known as Eurocodes (EC) was developed for the construction field by the end of 2007. These are intended to provide a uniform basis, valid throughout Europe, for product specifications, tenders and mathematical verification. The EC are the world's most highly developed Standards in the construction field. In the Doka Group, the EC are to be used as standard from the end of 2008. They will thus supersede the DIN norms as the "Doka standard" for product design. Ed Ed Fd Fk γF Design value of effect of actions (E ... effect; d ... design) Internal forces from action Fd (VEd, NEd, MEd) Design value of an action Fd = γ F · Fk (F ... force) Characteristic value of an action "actual load", service load (k ... characteristic) e.g. dead weight, live load, concrete pressure, wind Partial factor for actions (in terms of load; F ... force) e.g. for dead weight, live load, concrete pressure, wind Values from EN 12812 Comparison of the safety concepts (example) Permissible stress design 115.5 [kN] Fyield EC/DIN concept Rk 115.5 [kN] Rd gM = 1.1 90<105 [kN] n ~ 1.65 Factual A 98013-100 60 [kN] gF = 1.5 Fpermissible 98013-102 60<70 [kN] A Ed 90 [kN] Factual≤ Fpermissible The widely used "Permissible stress design" (comparing the actual stresses with the permissible stresses) has been superseded by a new safety concept in the EC. The EC contrast the actions (loads) with the resistance (capacity). The previous safety factor in the permissible stresses is now divided into several partial factors. The safety level remains the same! Rd Rd Design value of the resistance (R ... resistance; d ... design) Design capacity of cross-section (VRd, NRd, MRd) Rk Rk Timber: Rd = kmod · Steel: Rd = γM γM Rk Characteristic value of the resistance e.g. moment resistance to yield stress γM Partial factor for a material property (in terms of material; M...material) e.g. for steel or timber Values from EN 12812 kmod Modification factor (only for timber – to take account of the moisture and the duration of load action) e.g. for Doka beam H20 Values as given in EN 1995-1-1 and EN 13377 The "permissible values" communicated in Doka documents (e.g.: Qpermissible = 70 kN) do not correspond to the design values (e.g.: VRd = 105 kN)! ➤ Avoid any confusion between the two! ➤ Our documents will continue to state the permissible values. Allowance has been made for the following partial factors: γF = 1.5 γM, timber = 1.3 γM, steel = 1.1 kmod = 0.9 In this way, all the design values needed in an EC design calculation can be ascertained from the permissible values. Ed≤ Rd A Utilisation factor 4 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Eurocodes at Doka 999736002 - 03/2012 5 The Formwork Experts Rules, standards and reference tables Calculation Guide Doka formwork engineering General remarks Rules, standards and reference tables The Calculation Guide 'Doka formwork engineering' contains the principal structural-design data relating to Doka formwork systems. You will find in-depth information on each of our systems, and on the correct way to use them, in our User Information booklets. Rules and standards EN 1065 EN 1991 EN 1993 EN 1995 EN 1999 EN 12811 EN 12812 DIN 18.202 DIN 18.216 DIN 18.217 DIN 18.218 Adjustable telescopic steel props Actions on structures Eurocode 3 - Design of steel structures Eurocode 5 - Design of timber structures Eurocode 9 - Design of aluminium structures Temporary works equipment Falsework – Performance requirements and general design Tolerances in building construction Formwork ties; requirements, testing, use Concrete surfaces and formwork surface Pressure of fresh concrete on vertical formwork Accident protection regulations of (German) construction-employee safety organisation 6 Reference tables For unusual applicational problems, the following (German-language) reference works may be found helpful: ● Bautabellen ('construction tables'), Sträussler & Krapfenbauer, published by Jugend und Volk ● Stahl im Hochbau ('steel in building construction'), Verein Deutscher Eisenhüttenleute, Verlag Stahleisen, Düsseldorf ● Stahlbauprofile ('steel structural sections'), Verein Deutscher Eisenhüttenleute, Verlag Stahleisen, Düsseldorf ● Bautechnische Zahlentafeln ('construction-engineering tables', Wendehorst & Muth, B.G. Teubner, Stuttgart ● Holzbau Taschenbuch ('manual of practice for timber construction work', Halász & Scheer, published by Wilhelm Ernst & Sohn, Berlin 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Design loads Vertical and horizontal loads Design loads Vertical loads Permanent loads For details of the unit weights of Doka system components, see the Doka User Information booklets. The data stated in EN 1991-1-1, or the following values, may be used as rough approximations: ● Large-area formwork Top 50 ≈ 0.5 kN/m2 ● Framed formwork Framax ≈ 0.7 kN/m2 ● Framed formwork Frami ≈ 0.5 kN/m2 2. for working and protection platforms: EN 12812 states that a minimum service load of 0.75 kN/m2 should be assumed for all access zones and scaffold levels. Depending on the type of work to be carried out, it may also be necessary to assume higher live loads. For these live loads on work decks, EN 12811 specifies the following Load Classes. Service loads on scaffold levels (EN 12811) Load Class Concrete loads For ordinary fresh concrete with reinforcement, EN 12812 states that a density of 2500 kg/m3 should be assumed. 1 2 3 4 5 6 Live loads 1. for floor-slab formwork: EN 12812 states that a service load of at least 0.75 kN/m2 should be assumed over the entire area, and – on a 3 m x 3 m area – a variable load of 10% of the concrete, but no more than 1.75 kN/m2 and no less than 0.75 kN/m2. Load conLoad conEvenly centrated on centrated on a a distributed load 500x500mm 200x200mm area area q1 F1 F2 Partial-area load q2 kN/m2 kN kN kN/m2 0.752) 1.50 1.50 1.50 3.00 3.00 3.00 1.00 1.00 1.00 1.00 1.00 1.00 5.00 7.50 10.00 1.50 2.00 3.00 4.50 6.00 1) See EN12811-1 Point 6.2.2.4 2) See EN12811-1 Point 6.2.2.1 Partial area factor ap1) 0.4 0.4 0.5 4 Live load as a function of slab thickness 3 1 2 A 0 Live load p [kN/m2] 94503-821 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1,0 1,1 Slab thickness [m] A EN 12812 999736002 - 03/2012 7 The Formwork Experts Design loads Calculation Guide Doka formwork engineering Practical examples of Load Classes Load Class 2 Load Class Load Class 3 4, 5, 6 e.g. for external rendering and stucco work, Normally for masonry and external rendering For service and maintenance work, especially coating, pointing or repair work; as a reinforcework, tiling and squared-stone facing work, and ment or pouring platform in reinforced-concrete for cleaning operations on facades heavy site-erection work. construction work. Only for work in which it is not necessary to The materials and equipment stored on the Building materials and parts may be set down store building materials or parts on the platform platform decking may not be set down on the on the platform by lifting-appliances and stored decking. platform by lifting-appliances. on the platform decking. Necessary precondition: Necessary precondition: When materials are stored on the platform When materials are stored on the platform decking, a clear access passage at least decking, a clear access passage at least 0.20 m wide must be left free. 0.20 m wide must be left free. Permitted service load Load Class 4 5 6 2 2 2 2 Permitted service load: 1.5 kN/m (150 kg/m ) Permitted service load: 2.0 kN/m (200 kg/m ) 3.0 kN/m2 4.5 kN/m2 6.0 kN/m2 (300 kg/m2) (450 kg/m2) (600 kg/m2) plus partial-area load The actual load is made up of the weight of the The actual load is made up of the weight of the stored material and of the persons on the plat- stored material and of the persons on the platform. form. For each person, a weight of 100 kg must be For each person, a weight of 100 kg must be assumed. assumed. 8 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Design loads Horizontal loads Horizontal load for working operations For load-bearing towers, the load to be assumed here is 1/100 of the vertical load at the height of the bottom of the formwork. Simplified method of determining the aerodynamic coefficient cp The aerodynamic coefficient allows for the geometry of the formwork and of the building member or building element. cpe Horizontal load from imperfections When calculating the supports of 'top-held load-bearing towers', an additional horizontal load of 1/100 must be allowed for. Wind loads To be determined in accordance with EN 1991-1-4 or the Calculation Guide entitled 'Wind loads to the Eurocodes' we = qp(ze)·cp cp,net Aerodynamic coefficient for... External pressure Free-standing walls, structural elements with sharp-edged sections The following simplified c-values are stipulated for everyday "Doka practice": Single structural elements with sharp-edged sections ● cp,net Handrail plank = 1.3 ● cp,net Scaffolding tube = 1.3 Horizontal loads such as block-and-tackle forces, shear forces, etc. kN/m2 we Wind pressure on surface in Peak velocity pressure in kN/m2 (old qp(ze) term: impact pressure) ze Reference height, height above ground cp Aerodynamic coefficient Lateral forces on railings Horizontal point load P = 0.3 kN in unfavourable positions as per EN 12811 or EN 13374. Simplified method of determining the peak velocity pressure qp(ze) In cases where no wind-load information is yet available for a structure, the approximate peak velocity pressure qp(ze) can be read off from the following simplified diagram. An exposure-time factor of 0.7 has already been allowed for: A 1.00 B 0.50 98019-105 Peak velocity pressure qp(ze) [kN/m2] 1.50 0 0 10 20 30 40 50 Structure height z [m] A will not be exceeded in large parts of Europe qb,0 = 0.49 kN/m2, TC II B is exceeded in some parts of Europe (e.g. coastal and mountain areas) qb,0 = 0.39 kN/m2, TC II A working wind of q = 0.2 kN/m2 should always be assumed. The aerodynamic wind pressure w is obtained by multiplying the dynamic pressure q with the force coefficient cf (as a rule, for wall formwork cp,net = 1.3). 999736002 - 03/2012 9 The Formwork Experts Design loads Calculation Guide Doka formwork engineering Pressure of fresh concrete on vertical formwork, DIN 18218 The fresh-concrete pressure σh is calculated in conformity with DIN 18218. It will depend upon the: ● time tE to end of initial setting ● fresh-concrete temperature Tc,PLACEMENT ● ambient temperature T ● unit weight of fresh concrete γc ● compaction ● chemical admixtures ● vibrations ● reinforcement ● rate of placing v ☞ Fresh-Concrete Pressure Calculator: The permitted rate of placing, as determined by its various dependencies, can be determined with the Fresh-Concrete Pressure Calculator. This can be accessed on the Doka website. www.doka.com/web/tools/fresh-concrete-pressure-calculator/fresh-concrete-pressure-calculator.en.php Screenshot DIN 18218 contains diagrams illustrating these dependencies of the maximum horizontal fresh-concrete pressure. Sample diagram based on the following preconditions: 6 150 94511-806 G 5 125 F D 100 4 C E H 75 B 3 50 A 2 1 25 0 hydrostatic head hs [m] max. wet-concrete pressure [kN/m2] Time of 5 hours to end of initial setting tE 0 0 1 2 3 4 5 6 7 rate of rise v [m/h] A Consistency class F1 B Consistency class F2 C Consistency class F3 D Consistency class F4 E ECC, consistency class F5 F ECC, consistency class F6 G SCC H Hydrostatic to tE Ensure that the following conditions are met: ● Unit weight of fresh concrete γc: 25 kN/m3 ● Time tE to end of initial setting: 5 h ● Formwork joins tightly closed ● Compaction with internal vibrator ● Fresh-concrete temperature: +15°C 10 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Design loads Properties of fresh concrete to DIN 1045 (1972 edition) or DIN 18218 Consistency ranges Meaning Symbol Stiff K1 Plastic K2 Soft K3 Slump-flow 'a' (cm) Degree of compactibility v — ≤40 41 - 50 1.45 - 1.26 1.25 - 1.11 1.10 - 1.04 to DIN 1045 (1980 edition) to ÖNORM B 4710-1, 2002-01-01 edition Table 3 - Slump-test classes: not relevant in Austria Table 4 - Slump-time classes: not relevant in Austria Table 5 - Compactability classes Class C01) C1 C2 C31) 1) Consistency ranges Meaning Symbol Stiff KS Plastic KP Soft KR Flowable KF Slump-flow 'a' (cm) Degree of compactibility v — 35 - 41 42 - 48 49 - 60 ≥1.20 1.19 - 1.08 1.07 - 1.02 — to DIN EN 206-1 (July 2001 edition) Table 3 - Slump-test classes Class S1 S2 S3 S4 S5 Slump-test classes 10 - 40 50 - 90 100 - 150 160 - 210 ≥220 Table 4 - Slump-time classes (Vébé) Class V0 V1 V2 V3 V4 Slump-time in s ≥31 30 - 21 20 - 11 10 - 6 5-3 Table 5 - Compactability classes Class C0 C1 C2 C3 Degree of compactibility ≥1.46 1.45 - 1.26 1.25 - 1.11 1.10 - 1.04 Table 6 - Slump-flow classes Class F1 F2 F3 F4 F5 F6 Slump-flow (diameter in mm) ≤340 350 - 410 420 - 480 490 - 550 560 - 620 ≥630 Degree of compactibility ≥1.46 1.45 - 1.26 1.25 - 1.11 1.10 - 1.04 Description Very stiff Stiff Stiff/plastic — ... not relevant in Austria Table 6 - Slump-flow classes Class desigClass nation in Austria — F11) F2 F38 F3 F45 F4 F52 F5 F59 F61) — F66 Slump-flow in mm (diameter) ≤340 350 - 410 420 - 480 490 - 550 560 - 620 ≥630 630 - 690 F73 1) 700 - 760 Description — Plastic Soft Very soft Flowable — Highly flowable Extremely flowable ... not relevant in Austria Comparative tables Compactability classes to Approximately corresponds EN 206-1 2001 edition to consistency classes as per DIN 1045 2001 edition DIN 1045 1972 edition or ÖNORM B4710-1 2002 edition DIN 18218 1980 edition Class Degree of compactibility C0 ≥1.46 — C1 1.45 - 1.26 K1 C2 1.25 - 1.11 K2 C3 1.10 - 1.04 K3 Slump-flow classes to ÖNORM B4710-1 2002 edition Approximately corresponds to consistEN 206-1 ency classes as per 2001 edition DIN 1045 1972 edition DIN 1045 or 2001 edition Class desigClass nation Slump-flow DIN 18218 1980 edition F1 — ≤340 K1 F2 F38 350 - 410 K2 F3 F45 420 - 480 K3 F4 F52 490 - 550 Fluid concrete F5 F59 560 - 620 Fluid concrete F6 — ≥630 Fluid concrete 999736002 - 03/2012 11 The Formwork Experts Structural-design values for Doka system components Calculation Guide Doka formwork engineering Structural-design values for Doka system components Structural-design values for Doka system components Doka steel components Connector components Splice plate Top50 Z Adjustable waling extension 1.40m Top50 Universal support Top50.....mm Formwork element connector FF20/50 Formwork element connector FF20/50 Z Adjustable waling extension FF20/50 Anchoring plate FF20/50 Framax universal waling 0.90m Framax universal waling 1.50m Frami universal waling 0.70m Frami universal waling 1.25m Top100 tec formwork element connector Top100 tec adjustable waling extension 12 G [kg] 8.5 15.0 11.1 per lin.m. 6.3 6.0 9.1 6.6 10.6 16.8 3.7 6.4 11.6 20.9 F [cm2] 14.4 14.4 Wx [cm3] 21.6 21.6 Ix [cm4] 97 97 Mperm. [kNm] 3.13 3.13 Qperm. [kN] 80.4 80.4 12.4 26.8 129 4.16 60 14.4 21.6 97 3.13 80.4 14.4 14.4 14.6 14.6 6.2 6.2 20 20 21.6 21.6 32.2 32.2 6.8 6.8 41.6 41.6 97 97 180 180 17 17 260 260 3.13 3.13 5.2 5.2 1.3 1.3 8.96 8.96 80.4 80.4 65 65 32.33 32.33 165.6 165.6 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Structural-design values for Doka system components Load-bearing capacity of Doka standard profiles Multi-purpose waling WS10 Top50 Doka standard profiles (Multi-purpose walings WS10, WU12, WU14 and WU16) can also be used for custom constructions. In order to increase the operational safety of flexurally rigid connecting devices, the following maximum loadbearing capacities shall apply: Connector component Corner connecting plate SK with WS10 Corner connecting plate SK with WU12 Waling connector SL-1 WU16 0.75m with WS10 Waling connector SL-1 WU16 0.75m with WU12 Waling connector SL-1 WU16 0.75m with WU14 Waling connector SL-1 WU16 0.75m with WS16 Splice plate SKE 50 plus with WS10 Splice plate SKE 50 plus with WU12 Mperm. [kN] 10.0 12.0 10.0 15.0 15.0 27.4 10.0 11.0 When calculating Doka standard profiles with the Doka software 'Tipbeam', select 'Multi-purpose walings', not double U-sections. a a Tr824-200-01 a ... 30 cm Permitted moment M[kNm] Permitted shear force V [kN] Permitted normal force N [kN]1) Permitted moment of inertia [cm4] Middle zone 12.3 82 325 End zone 'a' 10.0 82 268 412 Interaction diagram 14 12.37 12 10.48 10 Permitted moment M [kNm] ☞ ● The data given below relate to plastic boundary internal forces. This means that the specified interaction data must be complied with. ● The decreased load-bearing capacities in the end zones of the WS10 and WU12 profiles are only relevant for special applications (e.g. flexurally rigid special connecting plates), but not when used on Large-area formwork Top 50. 10.05 8.64 A B C D 8.65 8 6.33 6 5.23 4 2.98 0 20 40 60 80 Tr824-100 41.4 21.1 0 82.76 2 100 Permitted shear force V [kN] A Middle zone Nk = 0 kN1) B Middle zone Nk = 70 kN1) C End zone Nk = 0 kN1) D End zone Nk = 70 kN1) 1) without proof of stability 999736002 - 03/2012 13 The Formwork Experts Structural-design values for Doka system components Calculation Guide Doka formwork engineering Multi-purpose waling WU12 Top50 Multi-purpose waling SL-1 WU16 a a a a Tr824-200-05 Tr824-200-02 a ... 20 cm a ... 30 cm Permitted moment M[kNm] Permitted shear force V [kN] Permitted normal force N [kN]1) Permitted moment of inertia [cm4] Middle zone 18.3 117 418 Permitted moment M[kNm] Permitted shear force V [kN] Permitted normal force N [kN]1) Permitted moment of inertia [cm4] 15.2 117 356 728 28 161 468 1850 35 20 18.37 31.94 A 18 16.97 30 B 28.04 A 15.26 C 14.32 25 D 14 Permitted moment M [kNm] Permitted moment M [kNm] End zone 'a' Interaction diagram Interaction diagram 16 Middle zone 31.9 161 520 End zone 'a' 12.17 12 10 9.06 8.31 8 6 C 23.14 22.74 20.51 20 16.61 B 15 D 10 4.98 8.12 4 0 20 40 60 80 100 120 0 B Middle zone Nk = 70 kN1) C End zone Nk = 0 kN1) D End zone Nk = 70 kN1) 1) without proof of stability 14 20 161.8 Tr824-104 80.9 0 140 40 60 80 100 120 140 160 Permitted shear force V [kN] Permitted shear force V [kN] A Middle zone Nk = 0 kN1) 4.28 34.7 117.4 58.7 38.5 0 Tr824-101 5 2 A Middle zone Nk = 0 kN1) B Middle zone Nk = 160 kN1) C End zone Nk = 0 kN1) D End zone Nk = 160 kN1) 1) without proof of stability 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Structural-design values for Doka system components Top100 tec waling WU14 Facade waling WU14 a a Tr824-200-03 Overall 23.4 143 462 98036-207-01 a ... 30 cm Permitted moment M[kNm] Permitted shear force V [kN] Permitted normal force N [kN]1) Permitted moment of inertia [cm4] Middle 23.4 462 End zone a 21.9 143 442 1210 Permitted moment M[kNm] Permitted shear force V [kN] Permitted normal force N [kN]1) Permitted moment of inertia [cm4] Interaction diagram 24 Interaction diagram 22 24 23.41 22 22.25 21.92 21.20 22.25 A 18 Permitted moment M [kNm] A C 18 16 B 14.49 14 D 12.99 12 10 9.64 8.17 8 16 B 14.49 14 12 10 9.64 8 6 0 20 40 60 80 100 120 Permitted shear force V [kN] 140 20 40 60 80 100 120 140 160 Permitted shear force V [kN] 160 A Nk = 0 kN1) B Nk = 70 kN1) A Middle zone Nk = 0 kN1) B Middle zone Nk = 70 kN1) 0 71.5 0 Tr824-102 143.0 71.5 51.0 2 143.0 2 4 Tr824-102 4 6 51.0 Permitted moment M [kNm] 23.41 20 20 0 1210 1) without proof of stability C End zone Nk = 0 kN1) D End zone Nk = 70 kN1) 1) without proof of stability 999736002 - 03/2012 15 The Formwork Experts Structural-design values for Doka system components Calculation Guide Doka formwork engineering Steel waling WU14 Top50 Deflection diagrams /m kN 30 20 .0 50 .0 10 .0 40. 0 L M 5 5 7. 15 .0 5 4 .0 10 3 7.5 2 5.0 1 2.5 .0 4 M L 75 .0 30. 0 15 .0 p [kN/m] Deflection [mm] 20 kN /m .0 6 50 Deflection [mm] 6 40 .0 p [kN/m] 7 8 7 .0 8 Multi-purpose waling WS10 Top50 Steel waling WS10 Top50 3 5.0 2 9736-162 1.50 2.5 1.75 2.00 2.25 2.50 2.75 3.00 1 Support centres L [m] 9736-160 1.50 1.75 2.00 2.25 2.50 Support centres L [m] M ... permitted bending moment Steel waling WU16 Top50 M ... permitted bending moment .0 k 40 .0 .0 0 5. 75 1 L .0 5 0. 0 20 M .0 4 15 3 0 10. 2 7.5 0 4 50 30 .0 20 .0 50 5 0. 5.0 10 Deflection [mm] kN 40 /m .0 7 Deflection [mm] .0 30 p [kN/m] 75 6 L .0 p [kN/m] 7 8 6 N/ m 8 Multi-purpose waling WU12 Top50 Steel waling WU12 Top50 .0 1.25 10 1.00 1 M 3 2.5 .0 10 2 9736-158 7.5 1.50 1.75 2.00 2.25 2.50 2.75 3.00 5.0 Support centres L [m] 1 2.5 9736-161 1.00 1.25 1.50 1.75 2.00 2.25 2.50 M ... permitted bending moment Support centres L [m] M ... permitted bending moment 16 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Structural-design values for Doka system components 999736002 - 03/2012 17 The Formwork Experts Composite formwork beams Calculation Guide Doka formwork engineering Composite formwork beam I tec 20 Composite formwork beams Permitted values from technical approval A C These values allow for a γF = 1.5, a kmod of 0.9 and a γM = 1.3. Based on a residual moisture content of 20 % or less. The values must be adjusted accordingly if conditions of use differ. G D I tec 20 20.0 9.0 640 Perm. Q [kN] Perm. M [kNm] E · J [kNm2] B F I tec 20 20.0 E A Web (grey) C Distance-marks on beam-flanges, for Dokaflex system 4.0 B Flange (yellow top and bottom with grey I tec sheet) 8.0 D System holes Approval Number Z-9.1-773 E End-reinforcement (grey) F Notch for chalk line G I tec sheet (grey) Overall height tolerance ±1.0 mm, assuming 12% timber moisture content. Deflection diagram 30 3 98036-100 4 2.5 3.5 p [kN/m] 2 4.5 25 L 5 M 1.5 Deflection [mm] 20 6 7 8 15 Q 9 1 10 12.5 10 L/500 15 0.5 kN/m 20 L/250 5 25 30 0 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 Support centres L [m] M ... permitted bending moment Q ... permitted shear force p ... actual load (service load) 18 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Timber formwork beams Timber formwork beams Timber formwork beams H24 N H30 H36 A 8.0 F 4.0 Approval Number Z-9.1-21 B Flange (yellow) Deflection diagrams D System holes E End reinforcement (blue plastic cap for Doka beam H20 top, rivet for Doka beam H20 eco) Doka formwork beams H20 N and P F Notch for chalking line 16 Permissible values from EN 13377, Schedule E H16 P H16 N H24 H30* H36* 7.5 2.7 250 3.20 12.5 6.5 700 4.80 15.0 13.5 1250 6.00 17.0 17.0 1850 6.00 These values allow for a γF = 1.5, a kmod of 0.9 and a γM = 1.3. Based on a residual moisture content of 20 % or less. The values must be adjusted accordingly if conditions of use differ. *According to approval issued by the Institute for Construction Engineering, Berlin Types of beam H20 P 12 4 L 10 8 6 10 0 0.5 kN/m 15 40 30 0 20 1.0 2.0 3.0 4.0 5.0 Span L [m] M ... Permitted bending moment Q ... Permitted transverse force p ... Applied load (working load) Doka formwork beams H16 N and P 16 9732-110 Overall height tolerance ±1.0 mm, assuming 12% timber moisture content. p [kN/m] 12 L 2 2.5 10 3 8 M 1.5 3.5 Q Approval Number Z-9.1-222 Z-9.1-391 Z-9.1-21 Z-9.1-391 or EN 13377 Doka beams with no EN mark (i.e. those produced on or before 3rd Nov. 2008) are covered by the above-mentioned DIB ( German Institute of Building Technology) Approval. Doka beams with an EN mark (i.e. those produced from 4th Nov. 2008 onward) are covered by EN 13377. Deflection [mm] 8.0 L/500 1 7.5 2 4.0 8.0 4.0 3.5 3.5 6.5 1.5 4.5 5 14 6.5 3.5 4 20.0 20.0 H20 N 16.0 16.0 H16 P p [kN/m] Q 8.5 2.7 250 3.20 2 14 Deflection [mm] H20 N and P 11.0 5.0 450 4.00 2.5 3 9732-105 M C Beam-flange markings for the Dokaflex system H16 N Z-9.1-21 Overall height tolerance ±1.0 mm, assuming 12% timber moisture content. A Web (yellow) perm. Q [kN] perm. M [kNm] E · J [kNm2] perm. span [m] 9.7 9.7 Z-9.1-317 E 5.4 5.4 B 9736-252-01 30.5 24.0 D 36.0 C 4 6 L/500 1 4.5 5 4 7.5 2 0 0.5 kN/m 10 40 30 0 0.5 20 15 1.0 1.5 2.0 2.5 3.0 3.5 Span L [m] M ... permissible bending moment Q ... permissible transverse force p ... applied load (working load) 999736002 - 03/2012 19 The Formwork Experts Formwork sheets Calculation Guide Doka formwork engineering Formwork sheets Formwork sheets 21 mm Doka formwork sheets 3-S plus, 3-SO, 3-S eco, Doka textured formwork sheets 3-SO Dokadur panel ProFrame panel ☞ 4.0 10 9732-101 p [kN/m²] 15 3.5 L 3.0 L L 7.5 M 20 2.5 5 25 2.0 30 L/500 1.5 40 50 1.0 2.5 kN/m² 60 100 0.5 The grain of the face layer (A) must run at right angles to the supports (B) . L Q If the moisture content is higher than shown in the diagrams below, the modulus of elasticity diminishes significantly (i.e. deformation increases), and this is accompanied by a reduction in strength. This, in consequence, means a reduction in the ability to bear loads. Deflection [mm] Deflection diagrams 20 80 30 40 50 60 70 80 Span L [cm] 9792-210-01 A B Bending strength EJ = 7.82 kNm2/m (15% residual moisture content in the wood) M ... Permitted bending moment Q ... Permitted shear force 27 mm 4.0 9732-102 p [kN/m²] 3.5 Deflection [mm] 3.0 L L Q 20 L L M 15 25 2.5 30 10 2.0 40 1.5 L/500 50 7.5 60 1.0 80 5 100 2.5 kN/m² 0.5 20 30 40 50 60 70 80 Span L [cm] Bending strength EJ = 15.4 kNm2/m (15% residual moisture content in the wood) M ... Permitted bending moment Q ... Permitted shear force 20 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Formwork sheets Dokaplex formwork sheets Finnish birch plywood ☞ ☞ The fibre direction of the face ply relative to the supports is of no significance. L L L L L L L 7.5 1.0 60 2.5 kN/m² 1,0 15. 0 M l/500 0 5 L/500 1,2 5. 50 1.5 .0 40 80.0 1,4 2.0 10. 0k N/m ² L 1,6 M 7.5 L 100 Deflection [mm] L Q 2.5 p [kN/m²] 20. 0 30 9736-127 1,8 10 40.0 2,0 15 50.0 20 p [kN/m²] 30. 0 25 9732-103 Deflection [mm] 3.0 15 mm 60.0 18 mm The fibre direction of the face ply relative to the supports is of no significance. 0,8 0,6 2.5 0.5 0,4 0,2 20 30 40 50 60 10 Span L [cm] 15 30 25 20 35 40 45 Support centres L [cm] L 7.5 50 L/500 1.0 60 5 N/m 0k 5.0 L 7.5 L 10. L 80.0 10 1.5 1,2 1,0 L/500 5 2. 0,8 0,6 0,4 80 2.5 kN/m² 20 L 1,4 40 2.0 0.5 L 50.0 1,6 L .0 L Deflection [mm] Deflection [mm] L p [kN/m²] 60.0 M 2.5 L 9736-102 1,8 15 15.0 20 100 Q p [kN/m²] 25 20.0 2,0 30 9732-104 ² 12 mm M 21 mm 30.0 Modulus of bending EJ = 2.0 kNm2/m (15% moisture content) M ... permitted bending moment 40.0 Bending strength EJ = 3.1 kNm2/m (15% residual moisture content in the wood) M ... Permitted bending moment Q ... Permitted shear force 3.0 50 30 40 50 0,2 60 10 Span L [cm] Bending strength EJ = 4.7 kNm2/m (15% residual moisture content in the wood) M ... Permitted bending moment Q ... Permitted shear force 15 20 25 30 35 40 45 50 Support centres L [cm] Modulus of bending EJ = 1.1 kNm2/m (15% moisture content) M ... permitted bending moment 9mm The Dokaplex formwork sheet 9mm is only used for facing profiled timber formers, e.g. as a simple way of forming curved surfaces. 999736002 - 03/2012 21 The Formwork Experts Formwork sheets Calculation Guide Doka formwork engineering Xlife sheets 21mm ☞ The deflection characteristics of the Xlife sheet in the longitudinal are different from those in the transverse direction. The only way to tell which is the longitudinal and which is the transverse direction is by the direction of the lettering on the formwork sheets. For the purpose of the following diagrams, then, be sure to know which way round the Xlife sheets are placed in relation to the supports (e.g. Doka beams). Lettering falling from left to right (Xlife sheet sideways) Lettering rising from left to right (Xlife sheet in the upright) B 9732-403-01 9732-404-01 B A A A Support A Support B Lettering on formwork sheet B Lettering on formwork sheet 4.0 30 25 9732-117 20 15 10 4.0 7.5 3.5 3.5 L L 2.5 5 60 L/500 80 1.5 L 3.0 M 50 2.0 10 7.5 5 20 40 L 100 2.5 kN/m² 1.0 Deflection [mm] Deflection [mm] 3.0 L 15 9732-118 p [kN/m²] p [kN/m²] L L L 25 M 2.5 30 2.5 kN/m² 2.0 L/500 40 1.5 50 60 1.0 80 100 0.5 0.5 20 30 40 50 Support centres L [cm] Flexural stiffness EJ = 4.97 kNm2/m (15% timber moisture content) M ... Permitted bending moment 22 60 70 80 20 30 40 50 60 70 80 Support centres L [cm] Flexural stiffness EJ = 3.1 kNm2/m (15% timber moisture content) M ... Permitted bending moment 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Doka floor props Eurex Floor props Eurex top and Eurex Doka floor props Eurex Permitted capacities of Doka floor props Used as free-standing construction props *) Position of outer tube Bottom Top For details of the permitted capacities of the Doka floor props when used with the Dokaflex and Doka-Xtra systems, please refer to the relevant User Information booklets. 999736002 - 03/2012 23 The Formwork Experts Doka floor props Eurex Calculation Guide Doka formwork engineering Table 1: Permitted prop loads [kN] Eurex 30 and Eurex 30 top Top Bottom Top Bottom Top Bottom Top Bottom Top Bottom Top Bottom Top A15 A25 A25 A30 A30 A35 A35 A40 A40 A55 A55 A70 A70 A25 A25 A30 A30 A35 A35 A40 A40 A45 A45 A55 A55 B25 B25 B30 B30 B35 B35 B40 B40 B55 B55 B70 B70 B25 B25 B30 B30 B35 B35 B40 B40 B45 B45 B55 B55 C25 C25 C30 C30 C35 C35 C40 C40 C55 C55 C70 C70 C25 C25 C30 C30 C35 C35 C40 C40 C45 C45 C55 C55 D25 D25 D30 D30 D35 D35 D40 D40 D55 D55 D70 D70 D25 D25 D30 D30 D35 D35 D40 D40 D45 D45 D55 D55 A70 A70 E25 E25 E30 E30 E35 E35 E40 E40 E45 E45 E55 E55 7.0 20.0 21.1 6.9 20.9 22.0 6.8 21.8 22.9 6.7 22.6 23.8 6.6 23.5 24.7 6.5 24.4 25.6 6.4 25.5 26.7 6.3 26.6 27.8 6.2 27.7 28.9 6.1 28.7 30.0 6.0 29.8 31.1 5.9 31.2 32.9 5.8 32.6 34.7 5.7 34.0 Prop length [m] Bottom 550 Top 450 Bottom 400 Top 350 Bottom 300 Top 250 Bottom 700 Top 550 Bottom 400 Top 350 Bottom 300 Top or bottom 250 D15 E25 5.6 Prop category to EN 1065 Position of outer tube Eurex 20 and Eurex 20 top 150 35.4 5.5 20.0 22.1 30.9 32.4 5.4 20.9 23.2 32.6 34.2 5.3 21.9 24.4 34.4 36.1 5.2 22.9 25.7 36.2 38.0 5.1 23.9 27.1 38.1 39.8 5.0 25.0 28.5 4.9 26.4 30.1 4.8 27.8 31.6 4.7 29.2 33.2 4.6 30.6 34.9 4.5 32.2 31.8 33.5 4.4 33.9 33.8 35.8 4.3 35.8 38.0 4.2 38.0 40.0 40.0 35.6 35.6 4.1 4.0 20.9 24.1 3.9 22.3 26.0 3.8 23.7 27.9 3.7 25.2 29.9 3.6 35.6 35.6 26.9 32.2 20.2 23.8 28.5 34.4 3.4 21.7 25.9 30.1 32.4 35.7 3.3 23.1 28.1 31.4 34.7 38.2 3.2 24.6 30.4 32.5 37.1 26.3 33.0 20.1 24.1 27.9 34.4 2.9 21.7 26.6 28.8 35.4 2.8 23.3 29.1 29.6 2.7 24.6 31.6 30.6 25.4 34.3 31.8 2.5 30.0 35.6 32.9 2.4 27.1 33.4 27.0 2.3 27.9 27.8 2.2 28.9 28.9 2.1 29.6 30.2 2.0 30.3 31.5 35.9 1.9 31.7 33.0 37.5 1.8 33.1 34.5 39.2 1.7 34.6 30.0 35.9 34.0 31.3 37.4 35.1 32.6 38.9 33.8 35.6 38.2 33.2 40.0 40.0 33.8 36.2 35.2 38.5 40.0 40.0 40.0 40.0 40.0 40.0 34.9 40.0 40.0 35.6 1.5 30.0 32.6 38.8 26.2 1.6 35.6 35.6 31.2 35.6 35.7 35.1 37.5 26.2 35.6 32.8 33.5 3.0 2.6 33.2 37.5 3.5 3.1 30.6 1.4 1.3 1.2 20.0 1.1 1.0 24 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Doka floor props Eurex When used in Dokamatic and Dokaflex tables, or as temporary repropping (with props restrained) Practical examples With enhanced load-bearing capacity Without enhanced load-bearing capacity Eurex 20 and Eurex 20 top Eurex 30 and Eurex 30 top 700 1) 2) 250 300 350 400 450 5501) Eurex top 550 Eurex 400 Eurex top 150 250 300 350 Eurex Prop length [m] Permitted load-bearing capacity [kN] A 7.0 6.9 6.8 6.7 6.6 6.5 6.4 6.3 6.2 6.1 6.0 5.9 5.8 5.7 5.6 5.5 30 30 5.4 32 32 5.3 34 34 5.2 36 5.1 38 Tr570-200-01 35 5.0 4.9 4.8 4.7 4.6 4.5 4.4 4.3 40 4.2 4.1 35 4.0 30 30 40 3.9 32 32 3.8 34 34 3.7 36 3.6 38 3.5 30 3.4 32 3.3 34 40 3.2 Tr570-200-01 When the Doka Eurex and 'Eurex top' floor props are used as temporary reshores, the permitted carrying capacities increase as shown in the table in 'Permitted capacities of Doka floor props'. This increase in capacity only applies if the headand baseplate are placed directly against the floorslabs (a formwork-sheeting packing strip (A) is permissible). 40 3.1 3.0 30 2.9 32 2.8 34 35 40 40 2.7 2.6 35 2.5 30 2.4 32 2.3 34 2.2 40 35 2.1 2.0 40 1.9 35 1.8 1.7 1.6 1.5 1.4 1.3 1.2 25 1.1 1.0 1) 'Eurex top' prop only 2) not allowed to be used in Dokamatic and Dokaflex tables 999736002 - 03/2012 25 The Formwork Experts Doka floor props Eco Calculation Guide Doka formwork engineering Floor props Eco Doka floor props Eco Used as free-standing construction props Prop length [m] Permitted capacities [kN] as a function of the extension length of the outer tube (to ÖNORM B4009) 4.1 4.0 3.9 3.8 3.7 3.6 3.5 3.4 3.3 3.2 3.1 3.0 2.9 2.8 2.7 2.6 2.5 2.4 2.3 2.2 2.1 2.0 1.9 1.8 1.7 1.6 1.5 Eco 20 250 (260) 300 350 400 (410) (20.5) 21.6 22.8 23.9 21.3 22.6 24 20.1 21 21.9 22.8 23.7 24.7 25 (25) 25 25 25 Floor props Eco 20, moreover, are also compliant with European standard EN 1065, class A. For details of the permitted capacities of the Doka floor props when used with the Dokaflex and Doka-Xtra systems, please refer to the relevant User Information booklets. 26 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Doka floor props Eco Example of use - Doka floor props Eco for temporary shoring Practical examples With enhanced load-bearing capacity Without enhanced load-bearing capacity A Tr570-200-01 Tr570-200-01 When Doka floor props Eco are used as temporary reshores, their permitted load-bearing capacity increases to 25 kN. This increase in capacity only applies if the headand baseplate are placed directly against the floorslabs (a formwork-sheeting packing strip (A) is permissible). 999736002 - 03/2012 27 The Formwork Experts Doka floor prop Eurex 60 550 Calculation Guide Doka formwork engineering Floor prop Eurex 60 550 Doka floor prop Eurex 60 550 Permitted capacity: 60 kN at any extension length from 3.50 to 5.50 m. If the prop is lengthened, allow for the reduction in capacity as shown in the diagram! Load-bearing capacity data for Eurex 60 550 - when used as a floor prop 60 The extension range of the floor prop Eurex 60 550 can be enlarged by using lengthening-pieces. Fig. 13.50 - 5.50 m Fig. 2 5.50 - 7.50 m Fig. 3 7.00 - 11.00 m Max. load [kN] 50 Height ranges and lengtheningpieces 40 30 20 10 0 9745-100 3 4 5 6 7 8 9 10 11 12 Length extended [m] A B C A A 9745-202-01 9745-202-01 9745-202-01 A A Floor prop Eurex 60 550 B Extension Eurex 60 2.00m (with integrated Coupler Eurex 60) C Coupler Eurex 60 28 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Doka floor prop Eurex 60 550 999736002 - 03/2012 29 The Formwork Experts Form-ties Calculation Guide Doka formwork engineering Tie rods Form-ties Elongation of the form-ties as a percentage of the length of rod under load 250 F E D C B Diameter d1 [mm] Diameter d2 [mm] Cross-sectional area A [cm2] Permitted capacity [kN], allowing a 1.6 : 1 factor of safety against failure Permitted capacity [kN] to DIN 18216 Permitted capacity [kN], allowing a 2 : 1 factor of safety against failure as required by French standard 15.0 20.0 26.5 32.0 36.0 40.0 15.0 20.0 26.5 32.0 36.0 40.0 17.0 22.5 30.0 36.0 40.5 44.0 1.77 3.14 5.52 8.04 10.18 12.57 120 220 350 520 660 820 90 150 250 400 500 600 98 172 273 400 500 600 150 A 100 50 0 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 Elongation of the length of rod under load [%] A Tie-rod 15.0 B Tie-rod 20.0 C Tie-rod 26.5 D Tie-rod 32.0 E Tie-rod 36.0 F Tie-rod 40.0 L= L·Z 21 · A ΔL ... tie-rod elongation [mm] L ... tie-rod length [m] Z ... form-tie load [kN] A ... cross-sectional area [cm2] d2 Tie-rod Permitted load-bearing capacities of form-ties Form-tie load [kN] 200 9736-207-01 d1 WARNING Sensitive rod steel! ➤ Never weld or heat tie-rods. ➤ Tie rods that are damaged or have been weakened by corrosion or wear must be withdrawn from use. ➤ Only use approved tie-rods. 30 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Form-ties Shear stress and bending stress on tie-rods Until recently, it has not been permitted to subject tierods to shear force. Owing to improved manufacturing methods, this is now allowed to a permitted extent. Practical examples Timber on concrete A Q Tr705-200-01 B C Steel on concrete A B Tr705-201-01 D Q A Super-plate B Tie-rod C Squared timber D e.g. flat-bar steel and weldable coupler Required cube compressive strength of the concrete at the time of loading: At least B10 or fck,cube,current≥10 N/mm2 ➤ Separate proof must be provided of the load-bearing capacity of the mounted part (squared timber or flatbar steel). ➤ Ensure that there is no possibility of extraneous tensile forces being transmitted at the same time. ➤ Tighten the form-ties in the usual way. Tabular values for: ● the practical examples shown above ● maximum lever arm 6 cm ● cube compressive strength min. 10 N/mm2 Tie-rod 15.0 20.0 26.5 Shear force 5 kN 11 kN 15 kN To introduce higher loads than these, cones – e.g. bridge-edge beam anchors, climbing cones etc. – must be used. 999736002 - 03/2012 31 The Formwork Experts Plumbing accessories Calculation Guide Doka formwork engineering Plumbing accessories Plumbing accessories Panel strut 540 c a c a Panel strut 340 9736-204-01 b a ... 193.8 - 341.7 cm b ... 103.0 - 152.1 cm c ... 165.0 - 330.0 cm Loadability data Extension length 'a' [m] 2.00 2.20 2.40 2.60 2.80 3.00 3.20 3.40 Permitted load [kN] CompresTension sion 22.0 21.0 17.5 14.5 15.0 12.5 11.0 9.5 8.0 The rule-of-thumb here is: The length 'a' of the panel strut should be the same as the height of the formwork to be braced. 32 b 9736-203-01 a ... 309.0 - 550.0 cm b ... 192.5 - 248.9 cm c ... 279.0 - 505.0 cm Loadability data Extension length 'a' [m] 3.20 3.40 3.60 3.80 4.00 4.20 4.40 4.60 4.80 5.00 5.20 5.40 5.50 Permitted load [kN] CompresTension sion 30.0 30.0 30.0 25.5 21.5 19.0 16.5 15.0 15.0 13.5 12.0 11.0 10.0 9.5 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Plumbing accessories Eurex 60 550 used as a shoring & plumbing accessory Loading capacity data for Eurex 60 550 (compressive force)* - when used as a shoring & plumbing accessory 35 Permitted load [kN] 30 25 20 15 10 5 0 9745-101 3 4 5 6 7 8 9 10 11 12 13 14 Length extended [m] * 15 kN tensile force at any extension length 30 kN tensile force at any extension length and when anchored with 2 dowels Connector Eurex 60 IB (D) Plumbing strut shoe Eurex 60 EB (E) Adjusting strut 540 Eurex 60 IB (F) Prop head EB (G) Weight [kg] 9745-208-01 Coupler Eurex 60 (C) 5 Extension Eurex 60 2.00m (B) 4 Plumbing strut Eurex 60 550 (A) 3 Extension length L [m] 2 Type 1 1 2 3 4 5 3.79 - 5.89 5.79 - 7.89 7.79 - 9.89 7.22 - 11.42 9.22 - 13.42 1 1 1 2 2 — 1 2 — 1 — — — 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 91.1 112.4 133.7 142.5 163.8 The rule-of-thumb here is: The length of the Eurex 60 550 prop should be the same as the height of the formwork to be braced. 999736002 - 03/2012 33 The Formwork Experts Plumbing accessories Calculation Guide Doka formwork engineering C Intermediate piece 2.40m Adjustable plumbing strut D Intermediate piece 3.70m E Spindle element with hinged end-plate A A good rule of thumb here is: The length of the Adjustable plumbing strut should be the same as the height of the formwork to be supported. B C E a 9727-345-01 D a See table below for required numbers and types of intermediate pieces A Spindle head B Spindle element without hinged end-plate Type 1 2 3 4 5 6 7 8 Length L [m] 6.0 - 7.4 7.1 - 8.5 8.4 - 9.8 9.7 - 11.1 10.8 - 12.2 12.1 - 13.5 13.4 - 14.8 14.5 - 15.9 Permitted axial load [kN] under compression 1) min. L half L max. L Spindle element with hinged endplate 40.0 40.0 40.0 40.0 40.0 34.2 27.1 20.8 40.0 38.2 35.6 31.7 27.8 24.1 21.5 17.5 27.8 24.3 21.7 19.0 16.1 13.4 12.2 9.5 1 1 1 1 1 1 1 1 Intermediate pieces short long 2.40 m 3.70 m — 1 2 — 1 1 — 2 2 1 1 2 — 3 2 2 Spindle element without hinged endplate Spindle head 2) Hexagonal bolts M16 x 60 8.8 Nut M16 8 Spring washer A16 3) Weight [kg] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 12 12 12 16 16 20 20 153.9 183.7 209.1 234.5 264.3 289.7 315.7 344.9 ... Permitted axial load under tension = 40 kN ... On timber-beam formwork: Also allow for the Connecting pin 10cm and the Spring cotter 5mm 3 ... Included in scope of supply 1 2 34 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Examples of usage in Doka formwork systems In the case of free-standing walls, an aerodynamic coefficient cp,net of 1.3 should be assumed for Doka products (formwork). The greater wind loads at the ends must be constructionally sustained by additional plumbing accessories (e.g. struts or pipe-braces). Framax Xlife framed formwork Number of struts per 2.70 m width of gang-form: Panel strut Formwork height [m] 340 540 Eurex 60 550 / Adjustable plumbing strut 4.05 1 *) 5.40 1 6.00 1 1 7.20 1 2 8.10 1 1 Max. anchoring load: Fk = 13.5 kN (Rd = 20.3 kN) *) Up to a height of 3.30 m, the spacing of the props can be extended to 4.05 m apart. The values apply where the wind pressure we = 0.65 kN/m2. This results in a dynamic pressure qp = 0.5 kN/m2 (102 km/h) where cp, net = 1.3. The greater wind loads encountered at exposed formwork-ends must be constructionally sustained by additional plumbing accessories (e.g. struts or pipe-braces). In cases where higher wind pressure is encountered, the number of struts must be determined by statical calculation. For more information, see the Calculation Guide "Wind loads to the Eurocodes" or ask your Doka technician! Note: Every gang-form must be supported by at least 2 plumbing accessories. Example: Where the formwork height is 7.20 m, the following are needed for every 5.40 m wide gang-form: ● 2 Panel struts 340 ● 4 Panel struts 540 Plumbing accessories Framed formwork Frami Xlife Plumbing strut 260: Formwork height [m] Permissible spacing [m] 1.80 2.10 2.25 1.90 2.70 1.35 3.00 1.20 3.60 0.80 Max. anchoring load: Fk = 4.5 kN (Rd = 6.8 kN) Panel strut 340: Formwork height [m] Permissible spacing [m] 2.70 1.45 3.00 1.35 3.60 1.00 4.20 0.95 4.50 0.70 Max. anchoring load: Fk = 4.5 kN (Rd = 6.8 kN) The values apply where the wind pressure we = 0.65 kN/m2. This results in a dynamic pressure qp = 0.5 kN/m2 (102 km/h) where cp, net = 1.3. The greater wind loads encountered at exposed formwork-ends must be constructionally sustained by additional plumbing accessories (e.g. struts or pipe-braces). In cases where higher wind pressure is encountered, the number of struts must be determined by statical calculation. For more information, see the Calculation Guide "Wind loads to the Eurocodes" or ask your Doka technician! Note: Every gang-form must be supported by at least 2 plumbing accessories. Example: Where the formwork height is 3.00 m, the following are needed for every 5.40 m wide gang-form: ● 5 Plumbing struts 260 or ● 4 Panel struts 340 999736002 - 03/2012 35 The Formwork Experts Plumbing accessories Calculation Guide Doka formwork engineering Large-area formwork Top 50 Wall formwork FF20 Permitted spacings [m] of the plumbing accessories: Permitted spacings [m] of the plumbing accessories: Formwork height [m] 3.00 4.00 5.00 6.00 7.00 8.00 Panel strut 340 4.00 3.00 Eurex 60 550 / Adjustable plumbing strut 540 3.00 2.00 4.00 3.00 4.00 4.00 The values apply where the wind pressure we = 0.65 kN/m2. This results in a dynamic pressure qp = 0.5 kN/m2 (102 km/h) where cp, net = 1.3. The greater wind loads encountered at exposed formwork-ends must be constructionally sustained by additional plumbing accessories (e.g. struts or pipe-braces). In cases where higher wind pressure is encountered, the number of struts must be determined by statical calculation. For more information, see the Calculation Guide "Wind loads to the Eurocodes" or ask your Doka technician! Formwork height [m] 3.25 4.75 5.50 6.00 6.50 7.50 8.25 Panel strut 340 4.80 4.00 3.20 2.40 3.20 4.80 Eurex 60 550 or pipe brace 540 3.20 4.00 3.00 2.20 2.30 4.80 4.80 The values apply where the wind pressure we = 0.65 kN/m2. This results in a dynamic pressure qp = 0.5 kN/m2 (102 km/h) where cp, net = 1.3. The greater wind loads encountered at exposed formwork-ends must be constructionally sustained by additional plumbing accessories (e.g. struts or pipe-braces). In cases where higher wind pressure is encountered, the number of struts must be determined by statical calculation. For more information, see the Calculation Guide "Wind loads to the Eurocodes" or ask your Doka technician! Note: Every gang-form must be supported by at least 2 plumbing accessories. Note: Every gang-form must be supported by at least 2 plumbing accessories. Example: Where the formwork height is 7.00 m, the following are needed for every 8.00 m wide gang-form: ● 2 Panel struts 340 ● 2 Eurex 60 550 / Adjustable plumbing struts Example: Where the formwork height is 5.50 m, the following are needed for every 4.00 m wide gang-form: ● 1 Panel strut 340 ● 1 Panel strut 540 36 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Plumbing accessories Doka Express anchor 16x125mm Loading data The data specified here apply to temporary fixing points in uncracked concrete, irrespective of the load-direction angle F. Attaching components c F 9432-204-01 c ... max. 15 mm Permitted load in 'green' (new) concrete with characteristic cube compressive strength fck,cube≥14 N/mm2: Fperm. = 9.5 kN (Rd = 14.25 kN) Permitted load in C20/25 concrete with characteristic cube compressive strength fck,cube≥25 N/mm2: Fperm. = 17.0 kN (Rd = 25.5 kN) Back-stay on ring c F 9432-202-02 c ... max. 27 mm (steel, timber, ...) ☞ If the ring is damaged (deformed), it is not permitted to use this back-stay! Permitted load in "green" (new) concrete and in cured C20/25 concrete with a characteristic cube compressive strength of fck,cube≥14 N/mm2: Fperm. = 5.0 kN (Rd = 7.5 kN) 999736002 - 03/2012 37 The Formwork Experts Plumbing accessories Calculation Guide Doka formwork engineering Load-bearing capacity of EN 74 compliant couplers Steel Permitted resistance values for couplers General Steels of deoxidation type FU (rimmed steels) may not be used. Non-system tubes Non-system tubes to which prEN 74-1-compliant couplers can be attached (i.e. with a nominal outside diameter of 48.3 mm) must have a yield strength of at least 235 N/mm2 and a nominal wall thickness of at least 3.2 mm. Type of coupler Right-angled coupler (RA) Sleeve coupler (SF) Swivel coupler (SW) Parallel coupler (PA) Internal force Permitted values Class A Class B Slip force, FS perm. 6.0 kN 9.0 kN Slip force, FS perm. 3.5 kN 5.5 kN Slip force, FS perm. 6.0 kN 9.0 kN Slip force, FS perm. 6.0 kN 9.0 kN Aluminium alloys Non-system tubes Non-system tubes to which prEN 74-1-compliant couplers can be attached (i.e. with a nominal outside diameter of 48.3 mm) must have a 0.2% creep limit of at least 195 N/mm2 and a nominal wall thickness of at least 4.0 mm. Max. eccentricities At junctions, a single node may be assumed if the eccentricity e of the system-lines from the selected node point of all coupler-fixed components is smaller than 160 mm. A A e B e C B 9736-186 A A e e e ... eccentricity A Diagonal B Coupler C Single coupler attached to prop To determine the rigidity of tube-coupler connections, a reduction factor (as defined by EN 12812) should be assumed. 38 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Plumbing accessories 999736002 - 03/2012 39 The Formwork Experts Large-area formwork Top 50 Calculation Guide Doka formwork engineering Large-area formwork Top 50 Large-area formwork Top 50 9732-383-01 40 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Large-area formwork Top 50 Top 50 elements Formwork height 2.70 m Doka beam H20 Formwork height 1.90 m hs 135 270 hs 180 100 190 Bk 265 Bk Ak 40 45 Ak 9732-560-03 9732-560-01 ϭhk,max ϭhk,max 30 40 50 60 71 0.3 0.4 12 27 63 0.2 0.4 11 33 62 0.1 0.3 11 35 - 70 80 - - Perm. fresh-concrete pressure ϭhk,max [kN/m2] Beam centres [cm] Max. span deflection [mm] Max. cantilever deflection [mm] Waling load Bk [kN/m] Waling load Ak [kN/m] Bk 50 60 54 0.7 0 30 34 41 0.7 0 31 45 35 0.6 0 31 54 33 0.5 0 31 59 - - Ak 9732-560-02 45 ϭhk,max 9732-560-04 Perm. fresh-concrete pressure ϭhk,max [kN/m2] Beam centres [cm] Max. span deflection [mm] Max. cantilever deflection [mm] Waling load Bk [kN/m] Waling load Ak [kN/m] 70 80 160 300 45 Ak 290 hs Bk 120 245 40 Formwork height 3.00 m Formwork height 2.50 m 250 30 hs Perm. fresh-concrete pressure ϭhk,max [kN/m2] Beam centres [cm] Max. span deflection [mm] Max. cantilever deflection [mm] Waling load Bk [kN/m] Waling load Ak [kN/m] 30 40 50 60 70 80 63 48 0.7 0.7 0 0 30 31 34 45 42 0.6 0 31 54 41 0.5 0 31 59 - - ϭhk,max Perm. fresh-concrete pressure ϭhk,max [kN/m2] Beam centres [cm] Max. span deflection [mm] Max. cantilever deflection [mm] Waling load Bk [kN/m] Waling load Ak [kN/m] 30 40 50 60 70 80 47 35 1.5 1.6 0 0 35 38 37 50 29 1.5 0 40 60 26 1.3 0 39 69 26 1.2 0 39 73 - 999736002 - 03/2012 41 The Formwork Experts Large-area formwork Top 50 Calculation Guide Doka formwork engineering 185 370 360 330 Bk 165 340 Bk hs Formwork height 3.70 m hs Formwork height 3.40 m Ak 55 55 Ak 9732-560-05 ϭhk,max Perm. fresh-concrete pressure ϭhk,max [kN/m2] Beam centres [cm] Max. span deflection [mm] Max. cantilever deflection [mm] Waling load Bk [kN/m] Waling load Ak [kN/m] 30 9732-560-07 40 50 60 70 80 41 34 0.9 1.2 0 0 45 50 40 54 27 1.2 0 52 68 23 1.1 0 53 79 22 0.9 0 48 88 21 0.8 0.1 51 93 Formwork height 3.40 m ϭhk,max Perm. fresh-concrete pressure ϭhk,max [kN/m2] Beam centres [cm] Max. span deflection [mm] Max. cantilever deflection [mm] Waling load Bk [kN/m] Waling load Ak [kN/m] 30 40 50 60 70 80 35 29 1.3 1.8 0 0 52 59 42 57 24 2.0 0 63 73 20 2.0 0 65 86 19 18 1.8 1.6 0 0.0 65 64 96 105 Formwork height 3.70 m hs Ck 120 Bk 45 120 Ak 360 370 330 Bk 120 340 120 hs Ck Ak 9732-560-06 45 ϭhk,max 9732-560-08 Perm. fresh-concrete pressure ϭhk,max [kN/m2] Beam centres [cm] Max. span deflection [mm] Max. cantilever deflection [mm] Waling load Ck [kN/m] Waling load Bk [kN/m] Waling load Ak [kN/m] 30 40 54 0.3 0.1 15 39 31 44 0.3 0.1 14.4 49 41 42 50 60 70 36 31 28 0.3 0.3 0.3 0.1 0.1 0.1 14 13.6 13.7 55 56 56 52 62 71 ϭhk,max 80 27 0.2 0.3 13.9 55 75 Perm. fresh-concrete pressure ϭhk,max [kN/m2] Beam centres [cm] Max. span deflection [mm] Max. cantilever deflection [mm] Waling load Ck [kN/m] Waling load Bk [kN/m] Waling load Ak [kN/m] 30 40 50 60 70 80 57 44 0.3 0.3 0.2 0.1 25 26 38 50 31 41 35 0.3 0.1 25 59 52 31 0.3 0.2 25 56 56 26 0.3 0.2 25 65 73 25 0.3 0.2 25 64 80 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Large-area formwork Top 50 Formwork height 4.00 m Formwork height 5.00 m 130 120 hs hs Dk 120 500 490 Ck Bk 120 400 390 Ck Bk 120 45 Ak 9732-560-09 ϭhk,max 45 Ak Perm. fresh-concrete pressure ϭhk,max [kN/m2] Beam centres [cm] Max. span deflection [mm] Max. cantilever deflection [mm] Waling load Ck [kN/m] Waling load Bk [kN/m] Waling load Ak [kN/m] 30 40 50 60 70 80 52 39 0.4 0.4 0.3 0.1 30 32 41 55 31 41 33 0.4 0.1 32 66 52 28 0.3 0.1 31 74 63 26 0.4 0.1 31 77 74 23 0.4 0.2 34 74 84 Formwork height 4.60 m Dk ϭhk,max Perm. fresh-concrete pressure ϭhk,max [kN/m2] Beam centres [cm] Max. span deflection [mm] Max. cantilever deflection [mm] Waling load Dk [kN/m] Waling load Ck [kN/m] Waling load Bk [kN/m] Waling load Ak [kN/m] 30 40 50 60 70 80 60 0.3 0.8 29 36 37 31 44 0.3 0.5 30 48 49 41 35 0.2 0.4 30 57 62 52 29 0.3 0.4 29 62 77 62 25 0.3 0.4 29 64 87 72 22 0.3 0.4 29 64 96 83 70 80 Formwork height 6.00 m hs 120 9732-560-11 hs 450 Dk 120 460 Ck 155 Bk 9732-560-10 ϭhk,max 40 50 60 70 80 55 44 0.4 0.3 0.1 0.1 15 15 39 47 37 49 31 41 35 0.2 0.1 14 53 62 51 29 0.3 0.1 14 54 74 62 25 0.3 0.1 14 54 84 72 22 0.3 0.1 14 53 90 83 150 30 Bk Ak 45 Perm. fresh-concrete pressure ϭhk,max [kN/m2] Beam centres [cm] Max. span deflection [mm] Max. cantilever deflection [mm] Waling load Dk [kN/m] Waling load Ck [kN/m] Waling load Bk [kN/m] Waling load Ak [kN/m] 155 45 600 Ak 590 120 Ck 9732-560-12 ϭhk,max Perm. fresh-concrete pressure ϭhk,max [kN/m2] Beam centres [cm] Max. span deflection [mm] Max. cantilever deflection [mm] Waling load Dk [kN/m] Waling load Ck [kN/m] Waling load Bk [kN/m] Waling load Ak [kN/m] 30 40 50 60 44 33 0.7 0.7 0 0 32 34 48 65 48 64 34 45 27 0.6 0 35 79 80 56 22 19 15 0.6 0.6 0.6 0 0 0 35 34 38 89 95 95 97 114 129 67 78 90 999736002 - 03/2012 43 The Formwork Experts Large-area formwork Top 50 Calculation Guide Doka formwork engineering Practical example: 400-1200-400 tie-spacing in a Top100 tec waling WU14 2.00m Doka walings ☞ Important note: 98036-212-01 This table refers only to one single element with 2 cantilever arms. It takes no account of: ● continuity effects with other elements ● combinations of elements ● closures ● stop-ends etc. 1.50 1.75 2.00 2.25 2.50 2.75 3.00 3.50 4.00 44 qR,k [kN/m] 395 144 306 94 260 65 152 177 163 144 131 292 83 117 115 94 226 165 140 119 90 94 112 118 162 141 119 NR,k [kN] 198 144 191 118 195 98 133 177 163 144 131 219 104 146 144 118 202 169 149 136 135 131 141 140 165 148 136 qR,k [kN/m] 516 695 281 515 181 380 119 309 83 194 217 203 182 166 107 149 144 119 278 205 176 150 113 138 163 148 206 177 150 NR,k [kN] 258 261 211 258 181 238 149 232 125 170 217 203 182 166 134 186 180 149 249 210 187 172 170 192 206 176 210 186 171 qR,k [kN/m] 480 800 370 610 235 427 160 359 113 265 265 254 236 217 226 215 198 146 195 184 160 257 225 196 144 - Characteristic anchor force NR,k [kN] 154 141 122 136 97 134 79 137 65 89 123 112 97 89 154 109 105 91 145 70 99 99 79 140 111 100 92 116 102 93 92 86 93 95 111 101 92 WU16 SL-1 Permitted waling load qR,k [kN/m] 307 376 163 271 97 214 63 182 43 102 123 112 97 89 205 97 93 81 184 56 79 79 63 157 115 96 81 113 96 81 61 62 74 80 109 96 81 Characteristic anchor force Permitted waling load 1.25 Characteristic anchor force 1.00 250 - 250 312 - 312 200 - 350 - 200 375 - 375 250 - 500 - 250 500 - 500 250 - 750 - 250 625 - 625 300 - 900 - 300 750 - 750 300 - 1150 - 300 400 - 1200 - 400 450 - 1100 - 450 500 - 1000 - 500 525 - 950 - 525 275 - 725 - 725 - 275 450 - 1350 - 450 500 - 1250 - 500 550 - 1150 - 550 330 - 795 - 795 - 330 450 - 1600 - 450 500 - 1500 - 500 550 - 1400 - 550 625 - 1250 - 625 360 - 890 - 890 - 360 450 - 925 - 450 500 - 875 - 875 - 500 550 - 825 - 825 - 550 450 - 1050 - 1050 - 450 500 - 1000 - 1000 - 500 550 - 950 - 950 - 550 625 - 1750 - 625 450 - 1300 - 1300 - 450 500 - 1250 - 1250 - 500 550 - 1200 - 1200 - 550 450 - 1030 - 1040 - 1030 - 450 500 - 1000 - 1000 - 1000 - 500 550 - 1000 - 900 - 1000 - 550 Permitted waling load 0.75 1 1 2 1 2 1 2 1 2 1 2 2 2 2 2 3 2 2 2 3 2 2 2 2 3 2 3 3 3 3 3 2 3 3 3 4 4 4 [mm] WU14 Top100 tec Characteristic anchor force 0.50 0.625 Spacing of form-ties on standard elements WU12 Top50 Permitted waling load [m] Number of ties Length of waling WS10 Top50 NR,k [kN] 300 300 278 305 235 267 200 269 170 232 265 254 236 217 254 242 223 183 244 230 200 263 239 224 216 - 999736002 - 03/2012 The Formwork Experts Large-area formwork Top 50 NR,k [kN] 115 111 92 102 105 101 105 104 98 93 96 96 qR,k [kN/m] - NR,k [kN] - qR,k [kN/m] 171 174 150 134 144 146 186 173 150 153 164 147 NR,k [kN] 208 203 173 187 194 186 216 191 183 201 206 176 WU16 SL-1 Permitted waling load qR,k [kN/m] 94 95 80 73 78 79 90 94 80 71 76 80 Characteristic anchor force Permitted waling load 6.00 Characteristic anchor force 5.50 450 - 1200 - 1200 - 1200 - 450 500 - 1150 - 1200 - 1150 - 500 550 - 1120 - 1160 - 1120 - 550 450 - 1400 - 1300 - 1400 - 450 500 - 1340 - 1320 - 1340 - 500 550 - 1325 - 1250 - 1325 - 550 450 - 1150 - 1150 - 1150 - 1150 - 450 500 - 1150 - 1100 - 1100 - 1150 - 500 550 - 1050 - 1150 - 1150 - 1050 - 550 450 - 1250 - 1300 - 1300 - 1250 - 450 500 - 1250 - 1250 - 1250 - 1250 - 500 550 - 1250 - 1200 - 1200 - 1250 - 550 Permitted waling load 5.00 4 4 4 4 4 4 5 5 5 5 5 5 [mm] WU14 Top100 tec Characteristic anchor force 4.50 Spacing of form-ties on standard elements WU12 Top50 Permitted waling load [m] Number of ties Length of waling WS10 Top50 qR,k [kN/m] - 999736002 - 03/2012 Characteristic anchor force Calculation Guide Doka formwork engineering NR,k [kN] - 45 The Formwork Experts Large-area formwork Top 50 Calculation Guide Doka formwork engineering Permissible values for lateral pressure The following table shows common types of timber connection, with the lateral-pressure values that are permissible in each case. Junction WS10 H20 Web board 32mm Plank 50mm Plank 45mm H20 SN019-203-01 22kN1 SN019-203-03 SN019-203-04 SN019-203-05 SN019-203-02 16kN 4kN 10kN 9kN 2 x H20 SN019-204-03 SN019-204-04 SN019-204-05 SN019-204-02 22kN1 8kN 15kN 14kN WS10 SN019-205-02 22kN1 1 SN019-205-03 11kN SN019-205-04 15kN SN019-205-05 13.5kN Because of the shear force, on prefabricated timber formwork beams the permissible value is limited to 22kN (according to EN 13377:2002). 46 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Large-area formwork Top 50 999736002 - 03/2012 47 The Formwork Experts Large-area formwork Top 50 Calculation Guide Doka formwork engineering Struts Fixed struts A 9732-330-01 B 9732-331-01 B A Min. angle α between strut and waling = 30° A Strut B Bracing Universal strut T5/5 .....mm 70 50 A 40 B C 30 D 20 9732-107 Permitted load [kN] 60 10 0 0 0,5 1,0 1,5 2,0 2,5 Length of strut [m] A With no bracing on the strut Ensure that the parallel frame sections are adequately braced! B With bracing on the strut C With bracing on the strut + 2% longitudinal bridge slope D With bracing on the strut + 4% longitudinal bridge slope 48 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Large-area formwork Top 50 Spindle struts B 9732-331-01 9732-332-01 B A A Min. angle α between strut and waling = 30° A Spindle strut B Bracing Permitted compressive forces 100 90 L 80 70 B C H D E Permitted load [kN] F 60 I G A 50 J 40 K 30 20 Tr826-100 10 0 0 1.0 3.0 2.0 4.0 5.0 6.0 7.0 Length of strut [m] Legend and permitted tensile forces Item A B C D E F G H I J K L ☞ Designation Spindle strut T6 73/110cm Spindle strut T7 75/110cm Spindle strut T7 100/150cm Spindle strut T7 150/200cm Spindle strut T7 200/250cm Spindle strut T7 250/300cm Spindle strut T7 305/355cm Spindle strut T10 350/400cm Spindle strut T10 ....mm (specify min. length of strut) Spindle strut GS T5 65/101cm Spindle strut GS T6 95/140cm Spindle strut GS T7 109/166cm Permitted tensile force [kN] 57 70 70 70 70 70 70 70 70 42 38 105 Important note: Have regard to the connection geometry (bolt diameter, distance from edge)! 999736002 - 03/2012 49 The Formwork Experts Large-area formwork Top 50 50 Calculation Guide Doka formwork engineering 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Column formwork Column formwork Column formwork 9732-398-01 Perm. concrete pressure: 90 kN/m2 999736002 - 03/2012 51 The Formwork Experts Column formwork Calculation Guide Doka formwork engineering Column formwork with Multipurpose walings WS10 Top50 Corner connecting plate "outside" ● Possible quadratic columns: 20 x 20 up to 56 x 56 cm ● Possible rectangular columns: 20 x 20 up to 56 x 70 cm Example 20 x 20 cm Example 56 x 56 cm 9732-306-01 A B A 9732-305-01 B A Multi-purpose waling WS10 Top50 1.00m B Multi-purpose waling WS10 Top50 1.25m Corner connecting plate "inside" ● Possible quadratic columns: 52 x 52 up to 70 x 70 cm ● Possible rectangular columns: 20 x 52 up to 70 x 70 cm ☞ On 70 x 70 cm columns: Place an approx. 4 cm long steel-tube sleeve (inside diameter 20 mm) in front of the Wing nut 15.0. Example 52 x 52 cm Example 70 x 70 cm 9732-307-01 A 9732-308-01 C A B B A Multi-purpose waling WS10 Top50 1.00m B Multi-purpose waling WS10 Top50 1.25m C Steel-tube sleeve 52 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Spacing of the walings B A 9732-313-01 C D h E F G ☞ With rectangular columns, the longer of the two sides is the applicable dimension for structural design purposes. Column formwork Column dimensions [cm] Number of Doka beams H20 on each side Column height h [m] G F E 10.0 D C B A G F E 9.0 D C B A F E D 8.0 C B A E D C 7.0 B A E D 6.0 C B A D C 5.0 B A C 4.0 B A B 3.0 A 20x20 30x30 40x40 50x50 60x60 70x70 2 2 3 4 4 5 Space [cm] between walings — — — — — — — — — — 150 130 130 40 170 140 40 165 40 150 130 130 40 170 140 40 165 40 195 155 140 140 140 140 40 140 140 140 140 140 130 40 150 140 140 140 140 40 180 150 140 140 40 130 130 130 130 40 150 130 130 40 170 140 40 165 40 195 155 140 140 140 140 40 140 140 140 140 140 130 40 150 140 140 140 140 40 180 150 140 140 40 130 130 130 130 40 150 130 130 40 170 140 40 165 40 999736002 - 03/2012 195 155 140 140 140 140 40 140 140 140 140 140 130 40 150 140 140 140 140 40 180 150 140 140 40 130 130 130 130 40 150 130 130 40 170 140 40 165 40 195 155 140 140 140 140 40 140 140 140 140 140 130 40 150 140 140 140 140 40 180 150 140 140 40 130 130 130 130 40 150 130 130 40 170 140 40 165 40 53 The Formwork Experts Column formwork Calculation Guide Doka formwork engineering Column formwork with Multi-purpose walings WU12 Top50 Corner connecting plate "outside" ● Possible quadratic columns: 70 x 70 up to 107 x 107 cm ● Possible rectangular columns: 70 x 70 up to 107 x 120 cm 9732-309-01 Example 70 x 70 cm Example 107 x 107 cm A 9732-310-01 A B B A Multi-purpose waling WU12 Top50 1.50m B Multi-purpose waling WU12 Top50 1.75m Corner connecting plate "inside" ● Possible quadratic columns: 107 x 107 up to 120 x 120 cm ● Possible rectangular columns: 70 x 107 up to 120 x 120 cm ☞ On 120 x 120 cm columns: Place an approx. 4 cm long steel-tube sleeve (inside diameter 20 mm) in front of the Wing nut 15.0. Example 107 x 107 cm Example 120 x 120 cm 9732-311-01 A 9732-312-01 C B A B A Multi-purpose waling WU12 Top50 1.50m B Multi-purpose waling WU12 Top50 1.75m C Steel-tube sleeve 54 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Spacing of the walings A B C D E F h G H I K ☞ With rectangular columns, the longer of the two sides is the applicable dimension for structural design purposes. 9732-314-01 Column formwork Column dimensions [cm] Number of Doka beams H20 on each side Column height h [m] K I H G F 10.0 E D C B A I H G F 9.0 E D C B A H G F E 8.0 D C B A G F E 7.0 D C B A F E D 6.0 C B A E D 5.0 C B A D C 4.0 B A C 3.0 B A 70x70 80x80 90x90 100x100 110x110 120x120 5 5 5 5 6 6 Space [cm] between walings — — — 195 155 140 140 140 140 40 — — 140 140 140 140 140 130 40 — — 150 140 140 140 140 40 — — 180 150 140 140 40 — 130 130 130 130 40 — 150 130 130 40 — 170 140 40 — 165 40 — — 170 140 120 120 120 120 120 40 — 165 120 105 105 105 105 105 40 — 170 120 105 105 105 105 40 — 140 120 120 120 120 40 — 150 120 120 120 40 — 170 130 110 40 — 170 140 40 — 165 40 — — 170 140 120 120 120 120 120 40 — 165 120 105 105 105 105 105 40 — 170 120 105 105 105 105 40 ó 140 120 120 120 120 40 — 150 120 120 120 40 — 170 130 110 40 — 170 140 40 — 165 40 — 160 120 105 105 105 105 105 105 40 — 165 120 105 105 105 105 105 40 — 170 120 105 105 105 105 40 135 105 95 95 95 95 30 135 100 95 95 95 30 135 100 95 95 30 135 95 95 30 135 95 30 145 110 95 95 95 95 95 95 95 30 155 110 95 95 95 95 95 95 30 135 110 95 95 95 95 95 30 135 105 95 95 95 95 30 135 100 95 95 95 30 135 100 95 95 30 135 95 95 30 135 95 30 999736002 - 03/2012 145 110 95 95 95 95 95 95 95 30 155 110 95 95 95 95 95 95 30 135 110 95 95 95 95 95 30 135 105 95 95 95 95 30 135 100 95 95 95 30 135 100 95 95 30 135 95 95 30 135 95 30 55 The Formwork Experts Supporting construction frames Calculation Guide Doka formwork engineering Supporting construction frames Supporting construction frames 9739-204-01 56 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Anchor walings for Variabel and Universal F supporting construction frames h Supporting construction Supporting construction frames Permitted loads for anchor walings H V Pour-height h [m] 0.30 0.45 0.60 0.75 0.90 1.05 1.20 9739-257-01 Influence width Vertical force Vk Horizontal force e [m] [kN] Hk [kN] 3.00 0.00 3.40 3.00 0.20 7.60 1.80 1.00 8.10 1.15 1.80 8.10 0.80 2.60 8.10 0.60 3.40 8.10 0.45 4.10 8.10 Anchor waling Multi-purpose waling WS10 Top50 Multi-purpose waling WU12 Top50 Anchor waling 1.95m and 2.95m (WU16) Anchoring profile 0.55m ☞ permitted anchor force: Z 175 kN 259 kN 430 kN 700 kN The tensile forces that can be sustained only apply where the anchor is positioned exactly as required, i.e. 15 cm either side of the vertical axis of the SC-frame. The vertical and horizontal forces (Vk and Hk) must be transferred into the ground by suitable means – e.g. 2 ground nails per supporting construction, or dowel-and-screw type fixing points in the sub-base course (no need to prepare anchoring points). 999736002 - 03/2012 57 The Formwork Experts Supporting construction frames Calculation Guide Doka formwork engineering Supporting construction frame Variabel Combining with Doka timber-beam formwork The values given in the table are only applicable to forming situations where there is no kicker. In cases with large kickers, the overall stability of the SC-frame must be reviewed. The loading data is per parallel frame where the anchor is angled at 45°. Fields containing no data (-----) are not permissible – SC-frame would be overloaded! Pour heights of up to 3.25 m Influence width Influence width 1.00 m 1.25 m Pour height Anchor force Shoring force Deformation Anchor force Shoring force Deformation H Zk Vk at top Zk Vk at top [m] [kN] [kN] [mm] [kN] [kN] [mm] SC-frame type A 9739-306-01 40 kN/m2 V 2.50 2.75 3.00 3.25 96 110 124 139 34 45 56 69 2 3 3 4 120 138 156 173 43 56 70 86 2 3 4 5 50 kN/m2 Z Permitted pressure of fresh concrete H Supporting construction frame Variabel 2.50 2.75 3.00 3.25 106 124 141 159 36 47 60 75 2 3 4 5 133 155 177 199 45 59 75 94 2 3 5 6 Pour heights from 3.25 m to 4.00 m Influence width 1.00 m Pour height Anchor force Shoring force Deformation H Zk Vk at top [m] [kN] [kN] [mm] SC-frame type B Influence width 1.25 m Anchor force Shoring force Deformation Zk Vk at top [kN] [kN] [mm] 9739-307-01 58 40 kN/m2 V 3.25 3.50 3.75 4.00 139 153 167 181 69 83 99 116 2 2 3 5 173 191 ------- 86 104 ------- 2 3 ------- 50 kN/m2 Z Permitted pressure of fresh concrete H Vertically extended SCframe Variabel 3.25 3.50 3.75 4.00 159 177 194 212 75 91 110 130 2 3 4 5 199 ---------- 94 ---------- 2 ---------- 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Supporting construction frames Supporting construction frame Variabel Combining with Doka framed formwork Framax Xlife The values given in the table are only applicable to forming situations where there is no kicker. In cases with large kickers, the overall stability of the SC-frame must be reviewed. The loading data is per parallel frame where the anchor is angled at 45°. Pour heights of up to 3.00 m SC-frame type A Influence width 1.35 m Anchor force Shoring force Deformation Zk Vk at top [kN] [kN] [mm] Permitted pressure of fresh concrete Pour height H [m] 40 kN/m2 2.70 3.00 145 168 57 76 3 4 50 kN/m2 2.70 3.00 162 191 60 81 3 5 H Supporting construction frame Variabel V Z 9739-306-01 Pour heights of up to 3.30 m SC-frame type B Influence width 1.35 m Anchor force Shoring force Deformation Zk Vk at top [kN] [kN] [mm] Permitted pressure of fresh concrete Pour height H [m] 40 kN/m2 3.15 3.30 179 191 86 97 2 2 50 kN/m2 3.15 3.30 205 220 93 105 2 3 H Vertically extended SC-frame Variabel V Z 9739-307-01 Pour heights of up to 4.05 m SC-frame type Permitted pressure of fresh concrete B Pour height H [m] Influence width 0.90 m Anchor force Shoring force Deformation Zk Vk at top [kN] [kN] [mm] Vertically extended SC-frame Variabel kN/m2 3.60 3.75 3.90 4.05 143 150 158 165 81 89 98 108 2 3 4 4 50 kN/m2 3.60 3.75 3.90 4.05 165 175 185 194 89 99 109 120 3 3 4 5 H 40 V Z 9739-307-01 999736002 - 03/2012 59 The Formwork Experts Supporting construction frames Calculation Guide Doka formwork engineering Supporting construction frame Universal F Combining with Doka timber-beam formwork The values given in the table are only applicable to forming situations where there is no kicker. In cases with large kickers, the overall stability of the SC-frame must be reviewed. The loading data is per parallel frame where the anchor is angled at 45°. Fields containing no data (-----) are not permissible – SC-frame would be overloaded! Pour heights of up to 4.50 m Influence width 1.00 m Pour height Anchor force Spindle force Deformation H Zk Vk at top [m] [kN] [kN] [mm] SC-frame type A Influence width 1.25 m Anchor force Spindle force Deformation Zk Vk at top [kN] [kN] [mm] V 9739-308-01 40 kN/m2 Z 3.00 3.50 4.00 4.50 124 153 181 209 55 81 113 150 1 2 3 10 156 191 226 262 68 101 141 188 2 2 4 12 50 kN/m2 H Permitted pressure of fresh concrete SC-frame Universal F 4.50m 3.00 3.50 4.00 4.50 141 177 212 247 59 89 126 170 1 2 4 10 177 221 265 309 73 111 158 213 2 2 4 12 Pour heights from 4.50 m to 6.00 m Influence width 1.00 m Pour height Anchor force Spindle force Deformation H Zk Vk at top [m] [kN] [kN] [mm] SC-frame type B Influence width 1.25 m Anchor force Spindle force Deformation Zk Vk at top [kN] [kN] [mm] 9739-309-01 40 kN/m2 V Z 4.50 5.00 5.50 6.00 209 238 266 294 105 135 168 206 3 5 9 16 262 297 332 368 131 168 210 257 3 7 11 20 50 kN/m2 H Permitted pressure of fresh concrete SC-frame Universal F 4.50m + Attachable frame F 1.50m 4.50 5.00 5.50 6.00 247 283 318 354 119 154 194 239 3 5 9 17 309 354 398 ----- 148 193 243 ----- 4 7 12 ----- Pour heights from 6.00 m to 8.00 m Influence width 1.00 m Pour height Anchor force Spindle force Deformation H Zk Vk at top [m] [kN] [kN] [mm] SC-frame type C Influence width 1.25 m Anchor force Spindle force Deformation Zk Vk at top [kN] [kN] [mm] 9739-310-01 60 40 kN/m2 Z 6.00 6.50 7.00 7.50 8.00 294 322 351 379 407 145 174 206 241 278 5 6 7 9 15 368 403 438 474 ----- 182 218 258 301 ----- 6 7 9 12 ----- 50 kN/m2 V Permitted pressure of fresh concrete H SC-frame Universal F 4.50m + Attachable frame F 1.50m + Attachable frame F 2.00m 6.00 6.50 7.00 7.50 8.00 354 389 424 460 495 169 204 242 284 329 6 7 8 10 16 442 486 ------------- 211 255 ------------- 7 8 ------------- 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Supporting construction frames Supporting construction frame Universal F Combining with Doka framed formwork Framax Xlife with large kickers, the overall stability of the SC-frame must be reviewed. The loading data is per parallel frame where the anchor is angled at 45°. Fields containing no data (-----) are not permissible – SC-frame would be overloaded! The values given in the table are only applicable to forming situations where there is no kicker. In cases Pour heights of up to 4.50 m Influence width 0.90 m Pour height Anchor force Spindle force Deformation Zk Vk at top H [mm] [m] [kN] [kN] SC-frame type A Influence width 1.35 m Anchor force Spindle force Deformation Zk Vk at top [mm] [kN] [kN] V 9739-308-01 40 kN/m2 Z 3.15 3.60 4.05 4.50 120 143 165 188 56 78 105 135 1 2 3 9 179 214 248 283 84 118 157 203 2 3 5 13 50 kN/m2 H Permitted pressure of fresh concrete SC-frame Universal F 4.50m 3.15 3.60 4.05 4.50 137 165 194 223 60 86 117 153 1 2 3 9 205 248 291 334 90 129 176 230 2 3 5 13 Pour heights from 4.50 m to 6.00 m Influence width 0.90 m Pour height Anchor force Spindle force Deformation H Zk Vk at top [m] [kN] [kN] [mm] SC-frame type B Influence width 1.35 m Anchor force Spindle force Deformation Zk Vk at top [kN] [kN] [mm] 9739-309-01 40 kN/m2 V Z 4.65 5.10 5.55 6.00 196 219 242 265 102 127 155 185 3 5 9 15 294 328 363 397 153 191 232 278 4 8 13 22 50 kN/m2 H Permitted pressure of fresh concrete SC-frame Universal F 4.50m + Attachable frame F 1.50m 4.65 5.10 5.55 6.00 232 261 290 318 116 146 179 215 3 6 9 15 348 391 434 ----- 174 218 268 ----- 5 8 13 ----- Pour heights from 6.00 m to 8.00 m Influence width 0.90 m Pour height Anchor force Spindle force Deformation H Zk Vk at top [m] [kN] [kN] [mm] SC-frame type C Influence width 1.35 m Anchor force Spindle force Deformation Zk Vk at top [kN] [kN] [mm] 40 kN/m2 9739-216-01 6.00 6.45 6.90 7.20 7.65 8.10 265 288 311 326 349 372 131 154 180 198 226 257 4 5 6 7 9 15 397 431 466 489 --------- 196 231 269 296 --------- 7 8 9 11 --------- 50 kN/m2 V Z Permitted pressure of fresh concrete H SC-frame Universal F 4.50m + Attachable frame F 1.50m + Attachable frame F 2.00m 6.00 6.50 6.90 7.20 7.65 8.10 318 347 375 395 423 452 152 180 211 233 267 304 5 6 7 8 10 17 477 --------------------- 228 --------------------- 8 --------------------- 999736002 - 03/2012 61 The Formwork Experts Dokamatic table Calculation Guide Doka formwork engineering Dokamatic table Dokamatic table 9767-200-01 62 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Dokamatic table Structural design – Dokamatic table without formwork sheeting The tables in the section headed "Structural design" allow for a service load of 20 % of the dead load of the fresh concrete – but not less than 1.5 kN/m2 (150 kg/m2). 9767-236-01 Markings on the Dokamatic table waling 12 Spacing in cm 2 props per 3 props per Length of table waling table waling table waling a b 4.00 m 211 138 5.00 m 279 177 4 props per table waling c 107 128 d 104 140 a b b d c c Max. slab thickness / permitted closures Table format [m] Type of prop Eurex 20 2.50x5.00 Eurex 30 Eurex 20 2.50x4.00 Eurex 30 Eurex 20 2.00x5.00 Eurex 30 Eurex 20 2.00x4.00 Eurex 30 Options 1&2 0 20 30 40 60 80 0 20 30 40 60 80 0 20 30 40 60 80 0 20 30 40 60 80 0 20 30 40 60 80 0 20 30 40 60 80 0 20 30 40 60 80 0 20 30 40 60 80 Option 3 0 40 60 80 --0 40 60 80 --0 40 60 80 --0 40 60 80 --0 40 60 80 --0 40 60 80 --0 40 60 80 --0 40 60 80 --- Max. slab thickness [cm] Max. slab thickness [cm] Max. slab thickness [cm] 30 27 26 25 23 21 40 37 35 34 32 30 37 35 34 32 30 28 50 47 45 43 40 38 38 34 33 31 29 26 50 46 44 42 38 36 47 43 41 39 36 33 63 57 55 52 48 45 43 39 38 37 34 32 57 53 51 49 46 43 56 52 50 48 45 42 75 69 67 64 60 57 54 49 47 45 41 38 72 65 63 60 55 51 70 64 61 58 54 50 84 84 81 78 72 67 56 52 50 48 45 42 75 69 67 64 60 56 71 66 64 61 57 54 84 84 84 82 77 71 70 63 61 58 54 50 84 84 81 78 72 67 84 81 78 74 68 64 84 84 84 84 79 70 2 intermediate props with swivel-head, edge prop relocated 9767-226-05 9767-226-03 1 intermediate prop with swivel-head, edge prop relocated 9767-226-01 The formwork sheet and the type of closure must be chosen with reference to the slab thickness (see “Structural design – form- Permitted closure x work sheet and closure [cm] options”). Standard tables 999736002 - 03/2012 63 The Formwork Experts Dokamatic table Calculation Guide Doka formwork engineering Structural design – formwork sheet and closure options Closures in the transverse direction Option 1 Bridged with formwork sheeting only s 9767-221-01 Permitted thicknesses of slab in cm x s 3-SO 21mm 3-SO 27mm 0 20 50 80 5 25 35 65 10 30 25 50 15 35 20 40 20 40 -35 25 45 -30 30 50 -20 Check the selected table configuration once again, with reference to the value x. Options 2 and 3 Dokamatic insertion beams with no additional propping (Option 2) s 9767-224-01 Dokamatic insertion beams centre-propped (Option 3) s 9767-225-01 Permitted thicknesses of slab in cm x s 3-SO 21mm 3-SO 27mm 20 40 60 85 30 50 60 85 40 60 25/50* 50/80* 50 70 25/35* 50/65* 60 80 25 50 70 90 20 40 80 100 -35 Check the selected table configuration once again, with reference to the value x. * only applies where the tables are covered in "wall-towall" sheeting (e.g. width 60 cm) or where the sheets are arranged symmetrically (e.g. 30+30 cm - not 50+10 cm) 64 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Dokaflex table Dokaflex table Dokaflex table 9720-215-01 Structural design of standard-format tables Max. slab thickness Table format [m] 2.50x4.00m 2.50x5.00m 2.00x4.00m 2.00x5.00m Dokaflex table with extra props in mid-span and at edges Type of prop Max. slab thickness [cm] Max. slab thickness [cm] Max. slab thickness [cm] Eurex 20 Eurex 30 Eurex 20 Eurex 30 Eurex 20 Eurex 30 Eurex 20 Eurex 30 40 50 30* 35* 45 60 37* 46* 42* 55* 32* 42* 50* 70* 40* 52* 45 65 32 48 55 80 40 60 9720-326-01 9720-327-01 Dokaflex table with extra props in mid-span 9720-325-01 Dokaflex table *On projects with stringent quality requirements regarding the finish of the soffits, attention must be paid to the different deflections occurring at the boundaries between the tables and areas formed with Dokaflex 12-4. 999736002 - 03/2012 65 The Formwork Experts Dokaflex Calculation Guide Doka formwork engineering Dokaflex Dokaflex 9797-216-01 66 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Dokaflex Timber formwork beams H20 Slab thickness [cm] Slab load [kN/m2] 10 12 14 16 18 20 22 24 26 28 30 35 40 45 50 1) 4.30 4.80 5.30 5.80 6.30 6.80 7.30 7.80 8.30 8.80 9.30 10.68 12.05 13.43 14.80 Max. permitted spacing of primary beams [m] for a secondary-beam spacing [m] of 0.500 0.625 0.667 0.750 3.67 3.41 3.33 3.20 3.47 3.22 3.15 3.03 3.31 3.08 3.01 2.89 3.18 2.95 2.89 2.78 3.07 2.85 2.78 2.68 2.97 2.75 2.69 2.59 2.88 2.67 2.61 2.51 2.80 2.60 2.54 2.45 2.73 2.53 2.48 2.38 2.67 2.47 2.42 2.33 2.61 2.42 2.37 2.28 2.48 2.30 2.25 2.17 2.38 2.21 2.16 2.08 2.29 2.12 2.08 1.99 2.21 2.05 2.01 1.90 Max. permitted spacing of props [m] for the selected primary-beam spacing [m] of 1.00 2.91 2.76 2.63 2.52 2.43 2.35 2.28 2.22 2.17 2.12 2.07 1.87 1.66 1.49 1.35 1.25 2.70 2.56 2.44 2.34 2.25 2.17 2.09 2.03 1.93 1.82 1.72 1.50 1.33 1.19 1.08 1.50 2.49 2.36 2.24 2.14 2.06 1.96 1.83 1.71 1.61 1.52 1.43 1.25 1.11 0.99 0.90 1.75 2.31 2.18 2.08 1.97 1.81 1.68 1.57 1.47 1.38 1.30 1.23 1.07 0.95 0.85 0.77 2.00 2.16 2.04 1.89 1.72 1.59 1.47 1.37 1.28 1.20 1.14 1.08 0.94 0.83 0.74 0.68 2.25 2.03 1.85 1.68 1.53 1.41 1.31 1.22 1.14 1.07 1.01 0.96 0.83 0.74 0.66 — 2.50 1.86 1.67 1.51 1.38 1.27 1.18 1.10 1.03 0.96 0.91 0.86 — — — — 2.75 1.69 1.52 1.37 1.25 1.15 1.07 1.00 0.93 — — — — — — — 3.00 3.50 1.55 1.33 1.39 — 1.26 — 1.15 — — — — — — — — — — — — — — — — — — — — — — — 1) In accordance with EN 12812, this allows for a service load of 0.75 kN/m² and a variable load of 10 % of a massive concrete floor-slab, totalling at least 0.75 kN/m² but no more than 1.75 kN/m² (assuming a unit weight of 25 kN/m³ for the fresh concrete). Mid-span deflection has been limited to l/500. In the case of cavity flat-slab floors, significantly lower slab loads occur. Timber formwork beams H16 Slab thickness [cm] Slab load 1) [kN/m2] 10 12 14 16 18 20 22 24 26 28 30 35 40 45 50 4.30 4.80 5.30 5.80 6.30 6.80 7.30 7.80 8.30 8.80 9.30 10.68 12.05 13.43 14.80 Max. permitted spacing of primary beams [m] for a secondary-beam spacing [m] of 0.400 0.500 0.625 0.667 0.750 3.25 3.02 2.80 2.74 2.59 3.08 2.86 2.65 2.59 2.45 2.93 2.72 2.53 2.47 2.33 2.82 2.61 2.43 2.36 2.23 2.71 2.52 2.34 2.27 2.14 2.63 2.44 2.25 2.18 2.06 2.55 2.37 2.18 2.11 1.99 2.48 2.30 2.10 2.04 1.92 2.42 2.24 2.04 1.98 1.86 2.36 2.19 1.98 1.92 1.81 2.31 2.14 1.93 1.87 1.76 2.20 2.01 1.80 1.74 1.64 2.10 1.89 1.69 1.64 1.55 2.01 1.79 1.60 1.55 1.46 1.91 1.71 1.53 1.48 1.39 Max. permitted spacing of props [m] for the selected primary-beam spacing [m] of 1.00 2.91 2.76 2.63 2.52 2.43 2.35 2.28 2.22 2.17 2.12 2.07 1.87 1.66 1.49 1.35 1.25 2.70 2.56 2.44 2.34 2.25 2.17 2.09 2.03 1.93 1.82 1.72 1.50 1.33 1.19 1.08 1.50 2.49 2.36 2.24 2.14 2.06 1.96 1.83 1.71 1.61 1.52 1.43 1.25 1.11 0.99 0.90 1.75 2.31 2.18 2.08 1.97 1.81 1.68 1.57 1.47 1.38 1.30 1.23 1.07 0.95 0.85 0.77 2.00 2.16 2.04 1.89 1.72 1.59 1.47 1.37 1.28 1.20 1.14 1.08 0.94 0.83 0.74 — 2.25 2.03 1.85 1.68 1.53 1.41 1.31 1.22 1.14 1.07 1.01 0.96 — — — — 2.50 1.86 1.67 1.51 1.38 1.27 1.18 1.10 — — — — — — — — 2.75 3.00 3.50 1.69 1.55 — 1.52 1.39 — 1.37 — — 1.25 — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — 1) The slab loads given here are based on massive concrete floor-slabs. In the case of cavity flat-slab floors, significantly lower slab loads occur. Spacing of secondary beams Slab thickness [cm] Up to 18 Up to 25 Up to 30 Up to 40 Up to 50 Max. spacing of secondary beams [m] when using the following sheeting: 3-SO 21mm 3-SO 27mm Dokaplex 18mm Dokaplex 21mm 0.75 0.75 0.50 0.667 0.667 0.75 0.50 0.667 0.625 0.75 0.50 0.625 0.50 0.75 0.50 0.50 0.667 0.50 999736002 - 03/2012 67 The Formwork Experts Dokaflex Calculation Guide Doka formwork engineering Beam forming support Formwork beams horizontal (up to a height of 60 cm) 9720-232-01 Note: As a basic rule, it is forbidden to use formwork beams "horizontally" (i.e. with the load-direction perpendicular to the web). However, the specific applications shown here, using the Beam forming support, are permitted. Formwork beams vertical (up to a height of 90 cm) 9720-233-01 68 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Dokaflex Drop-beam not integrated into the floor-slab / stop-end formwork All the data below apply where 3-SO 21 mm and 3-SO 27 mm formwork sheets are used. h h Drop beams of between 10 and 30 cm in height Drop beams of between 47 and 70 cm in height 9720-251-01 b 9720-249-01 l b l b ... max. 100 cm l ... max. 150 cm Sidewall formwork: ● 2 Doka beams H20 top b ... max. 100 cm l ... max. 150 cm Sidewall formwork: ● Doka beam H20 top Spacing of secondary beams 50.0 cm Spacing of secondary beams Up to 60 cm 50.0 cm From 60 cm 33.3 cm h Position of Beam forming support On every 3rd secondary beam Drop beams of between 30 and 47 cm in height Position of Beam forming support On every 2nd secondary beam On every 2nd secondary beam Drop beams of between 70 and 90 cm in height h h A 9720-252-01 9720-250-01 b b l l b ... max. 100 cm l ... max. 150 cm b ... max. 100 cm l ... max. 150 cm Sidewall formwork: ● Doka beam H20 top ● Squared timber 4/8 cm for drop beams of between 30 and 34 cm in height ● Squared timber 8/8 cm for drop beams of between 34 and 47 cm in height Spacing of secondary beams 50.0 cm Position of Beam forming support On every 2nd secondary beam Where the dimensional requirements are especially stringent, we recommend placing a formtie (A) through the sidewall formwork as an additional precaution. Sidewall formwork: ● Doka formwork beams H20 in the upright Spacing of secondary beams Up to 85 cm 41.7 cm From 85 cm 36.0 cm h Position of Beam forming support On every secondary beam On every secondary beam h... Drop-beam height b... Drop-beam width l... Spacing of primary beams 999736002 - 03/2012 69 The Formwork Experts Dokaflex Calculation Guide Doka formwork engineering Drop-beam integrated into the floor-slab Drop beams of between 47 and 60 cm in height d Secondary beams parallel to dropbeam h All the data below apply where 3-SO 21 mm and 3-SO 27 mm formwork sheets are used. Drop beams of between 10 and 30 cm in height d h 9720-255-01 b l b ... max. 100 cm l ... max. 150 cm 9720-253-01 b l b ... max. 100 cm l ... max. 150 cm Base formwork ● Height of squared timber = 30-h (cm) Position of Beam forming support On every 2nd secondary beam On every 2nd secondary beam Drop beams of between 60 and 70 cm in height Position of Beam forming support On every 2nd secondary beam On every 3rd secondary beam h Slab Spacing of thickness d secondary beams 20 cm 62.5 cm 30 cm 41.7 cm Slab Spacing of thickness d secondary beams 20 cm 31.25 cm 30 cm 25.00 cm d Sidewall formwork: ● Doka beam H20 top ● Squared timber 10/8 cm Sidewall formwork: ● 2 Doka beams H20 top Drop beams of between 30 and 47 cm in height 9720-256-01 b d b ... max. 100 cm l ... max. 150 cm h l Sidewall formwork: ● 2 Doka beams H20 top ● Height of squared timber = h-60 (cm) 9720-254-01 b Slab Spacing of thickness d secondary beams 20 cm 40.0 cm 30 cm - l b ... max. 100 cm l ... max. 150 cm Position of Beam forming support On every secondary beam - Sidewall formwork: ● Doka beam H20 top ● Squared timber 4/8 cm for drop beams of between 30 and 34 cm in height ● Squared timber 8/8 cm for drop beams of between 34 and 47 cm in height Slab Spacing of thickness d secondary beams 20 cm 41.7 cm 30 cm 33.3 cm Position of Beam forming support On every 2nd secondary beam On every 2nd secondary beam 70 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Drop beams of between 40 and 51 cm in height d Secondary beams perpendicular to drop-beam Dokaflex h All the data below apply where 3-SO 21 mm and 3-SO 27 mm formwork sheets are used. Floor influence zone on either side of the drop-beam max. 1.0 m Drop beams of between 10 and 30 cm in height 9720-259-01 b d l h b ... max. 100 cm l ... max. 150 cm 9720-257-01 b l Slab Spacing of thickness d secondary beams 20 cm 41.70 cm 30 cm 31.25 cm b ... max. 100 cm l ... max. 150 cm Base formwork ● Height of squared timber = 30-h (cm) Position of Beam forming support On every 2nd secondary beam On every 2nd secondary beam Drop beams of between 51 and 70 cm in height Position of Beam forming support On every 2nd secondary beam On every 3rd secondary beam h d Sidewall formwork: ● Doka beam H20 top ● Squared timber 10/8 cm Slab Spacing of thickness d secondary beams 20 cm 62.5 cm 30 cm 41.7 cm Sidewall formwork: ● Doka beam H20 top ● Height of squared timber = h-40 (cm) 9720-260-01 Drop beams of between 30 and 40 cm in height b l h d b ... max. 100 cm l ... max. 150 cm 9720-258-01 b l b ... max. 100 cm l ... max. 150 cm Sidewall formwork: ● Doka beam H20 top ● Height of squared timber = h-20 (cm) Slab Spacing of thickness d secondary beams 20 cm 50.0 cm 30 cm 41.7 cm Position of Beam forming support On every 2nd secondary beam On every 2nd secondary beam Sidewall formwork: ● Doka beam H20 top ● Squared timber 5/8 cm for drop beams of between 51 and 60 cm in height ● Squared timber 10/8 cm for drop beams of between 60 and 70 cm in height Slab Spacing of thickness d secondary beams 20 cm 40.0 cm 30 cm - Position of Beam forming support On every secondary beam - h... Drop-beam height b... Drop-beam width l... Spacing of primary beams 999736002 - 03/2012 71 The Formwork Experts Doka floor end-shutter clamp Calculation Guide Doka formwork engineering Doka floor end-shutter clamp Doka floor end-shutter clamp Also meets the requirements of DIN EN 13374 Structural design ☞ Important note: Every stop-end element must be supported by 2 Doka floor end-shutter clamps. This requires planning! with guard rails e 98023-223-01 e d a 30 8.7 8.9 8.7 8.7 8.9 8.7 8.1 7.2 6.4 5.6 4.9 4.3 35 9.6 9.9 9.7 9.7 9.9 9.7 9.1 8.0 7.1 6.2 5.5 4.8 40 9.7 10.2 10.2 10.3 10.7 10.6 10.2 9.1 8.0 7.1 6.2 5.4 45 9.9 10.7 10.8 11.1 11.2 11.4 11.4 10.4 9.2 8.1 7.1 6.2 50 11.6 11.3 11.6 12.2 11.9 12.4 12.7 12.2 10.8 9.5 8.3 7.2 57.5 13.6 13.5 14.3 14.3 15.2 14.8 15.3 15.3 14.6 12.8 11.2 9.8 Frami Xlife panel 0.45m 25 7.9 8.1 7.9 7.9 8.1 7.9 7.4 6.5 5.8 5.1 4.4 3.9 Alu-Framax Xlife panel 0.60m 20 7.2 7.4 7.2 7.2 7.4 7.3 6.7 6.0 5.3 4.6 4.1 3.5 Framax Xlife panel 0.60m 15 6.6 6.8 6.7 6.6 6.8 6.7 6.2 5.5 4.9 4.3 3.7 3.3 Planks, 5x20 cm Slab thickness 'd' [cm] 15 - 35 402) 452) 502) 57.52) 60 80 70 60 60 50 55 100 90 80 70 60 50 120 110 100 90 80 45 1503) 1403) 1303) 120 100 40 2003) 1903) 1703) 1503) 1403) 35 2303) 2303) 2303) 2103) 1803) 30 2503) 28 2603) 26 2703) 24 2803) 22 2903) 20 3003) Permitted spans [cm] of the stop-ends1) Doka beam H20 + form-ply Permissible influence width 'e' Tensile force occurring [cm] [kN]5) Distance 'a' [cm] of anchor-point from top of wall 1104) 1104) 1104) 1204) 1204) 1304) 130 140 140 150 150 160 90 100 100 100 110 110 110 120 120 130 130 140 — 200 200 210 220 230 250 260 270 280 290 300 — 165 170 175 180 190 200 210 220 230 240 250 — — — — 170 170 180 190 190 200 210 220 1) Sealing tape KS required (deflection of 2 mm has been allowed for) 2) When used without Sealing tape KS, the influences must be reduced by 20% (deflection 1 mm) 3) Max. influence when erected with guard-rail boards 20 cm: 120 cm; with guard-rail boards 15 cm: 170 cm; with Protective grating XP 2.70x1.20m: 250 cm 4) 2 Doka beams H20 required (see the "Practical example") 5) For dimensioning when using alternative (i.e. non-Doka) anchorages 72 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Doka floor end-shutter clamp without guard rails e 98023-228-01 e d a 57.52) 70 90 110 140 180 15 6.2 6.3 6.0 5.9 6.0 6.0 5.1 4.4 3.8 3.2 2.6 2.2 20 6.7 6.8 6.5 6.4 6.5 6.5 5.6 4.8 4.1 3.5 2.9 2.3 25 7.4 7.4 7.1 7.0 7.1 7.1 6.1 5.2 4.5 3.8 3.1 2.6 30 8.1 8.2 7.9 7.7 7.9 7.9 6.7 5.8 4.9 4.2 3.5 2.8 35 40 45 50 9.1 10.2 11.7 12.2 9.2 10.3 11.9 12.6 8.8 9.9 11.4 12.3 8.6 9.7 11.1 13.1 8.8 9.9 11.4 12.7 8.8 9.9 11.4 12.9 7.5 8.4 9.7 11.3 6.4 7.3 8.4 9.8 5.5 6.2 7.1 8.4 4.6 5.3 6.0 7.1 3.9 4.4 5.0 5.9 3.2 3.6 4.1 4.8 57.5 14.5 15.4 15.2 15.4 15.4 15.4 15.3 13.2 11.3 9.6 8.0 6.5 Frami Xlife panel 0.45m 502) 80 100 120 160 200 Alu-Framax Xlife panel 0.60m 452) 90 110 130 160 210 230 250 260 270 280 290 300 Framax Xlife panel 0.60m 402) 90 110 130 160 210 Planks, 5x20 cm Slab thickness 'd' [cm] 15 - 35 60 90 55 110 50 130 45 160 40 210 35 30 28 26 24 22 20 Permitted spans [cm] of the stop-ends1) Doka beam H20 + form-ply Permissible influence width 'e' Tensile force occurring [cm] [kN]5) Distance 'a' [cm] of anchor-point from top of wall 1104) 1104) 1104) 1204) 1204) 1304) 130 140 140 150 150 160 90 100 100 100 110 110 110 120 120 130 130 140 — 200 200 210 220 230 250 260 270 280 290 300 — 165 170 175 180 190 200 210 220 230 240 250 — — — — 170 170 180 190 190 200 210 220 1) Sealing tape KS required (deflection of 2 mm has been allowed for) 2) When used without Sealing tape KS, the influences must be reduced by 20% (deflection 1 mm) 4) 2 Doka beams H20 required (see the "Practical example") 5) For dimensioning when using alternative (i.e. non-Doka) anchorages Practical example: Stop-end with 2 Doka beams H20 Permitted vertical load FV on End-shutter shoe (without horizontal load): 3 kN a 98023-230-01 A FV 98023-229-01 a ... max. 10 cm A Wooden spacer 999736002 - 03/2012 73 The Formwork Experts Guided climbing formwork Xclimb 60 Calculation Guide Doka formwork engineering Guided climbing formwork Xclimb 60 Guided climbing formwork Xclimb 60 Loading data Anchoring on the structure Imposed loads V N Z V H 98010-340-03 V 98007-200-02 V ... permitted vertical load: 60 kN H ... permitted horizontal load: 60 kN The horizontal load H and the vertical load V will influence: ● the force in the Stop-anchor "Z" (needs to be known for correct dimensioning of the tie-rod), and ● the force in the concrete cone pull-out "N". This is the force to which the concrete cone pull-out is subjected, and which can be directly compared with the permitted tensile forces of the Universal climbing cone in the concrete. Note: Revised static calculations are required for the loads in the stop-anchor "Z" and for the concrete cone pull-out load "N". Follow the directions in the Calculation Guide entitled "Calculating suspension loads in concrete" or ask your Doka technician! 98011-200-01 74 Follow the directions in the Calculation Guide entitled "Load-bearing capacity of anchorages in concrete" or ask your Doka technician! 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Guided climbing formwork Xclimb 60 Service loads Permitted live load per vertical profile: ● when anchored: 15 kN ● while being repositioned: 10 kN Note: The sum of the service loads on all platforms must not exceed the permitted live load per vertical profile! A A B A 98011-200-02 A 150 kg/m2 B 300 kg/m2 999736002 - 03/2012 75 The Formwork Experts Guided climbing formwork Xclimb 60 Calculation Guide Doka formwork engineering Influence width of the vertical profiles Structural design ☞ The structural design data given here apply only to standard assignments on straight walls. For assignments on e.g. inclined walls, separate statical verification must be performed. 4.50 Wind pressure 1) Determine the wind pressure as a function of the wind speed, the building environment and the structure height. 2) Use the relevant curve (A) to (E) in the following diagram. Curve 2.21 (A) Wind pressure [kN/m2] we = cp, net x q(Ze) 1.70 1.43 0.85 (B) (C) (D) 0.65 (E) Follow the directions in the Calculation Guide "Wind loads to the Eurocodes" when determining the wind pressure or ask your Doka technician! D E 3.50 2.50 2.00 3.00 A B 4.00 5.00 98011-101 3.00 C 6.00 Influence width [m] Example ● Basic data: - Curve (B) (wind pressure = 1.70 kN/m2) - Formwork height: 4.00 m ● Influence width: 4.10 m ☞ Important note: ● During pouring, the vertical profile is only allowed to be held in 2 shoes. where universal climbing cone is more than 250 mm below top of concrete ➤ When determining the influence width, add the difference (b – 250 mm) to the actual formwork height. b Note: Intermediate values may be linearly interpolated. Formwork height [m] 4.00 ➤ If wind speeds > 72 km/h are likely, and when work finishes for the day or before prolonged work-breaks, always take extra precautions to fix the formwork in place. Suitable precautions: - set up the opposing formwork - move the travelling unit forward (together with the formwork) until it meets the top of the previously cast section, and knock the fixingwedges into place 98011-274-01 b ... min. 250 mm Example ● Basic data: - Curve (B) (wind pressure = 1.70 kN/m2) - Formwork height: 4.00 m - Distance from edge 'b': 0.5 m ● Formwork height for determining the influence width: 4.00 m + (0.5 m - 0.25 m) = 4.25 m Influence width: 3.70 m 76 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Climbing formwork MF 240 Climbing formwork MF 240 Climbing formwork MF 240 Service loads A B 9710-304-05 C Loading data Anchoring on the structure Imposed loads V 9710-339-01 H A 150 kg/m2 B 300 kg/m2 C 75 kg/m2 9710-300-11 V ... permitted vertical load: 50 kN H ... permitted horizontal load: 75 kN Follow the directions in the Calculation Guide entitled "Load-bearing capacity of anchorages in concrete" or ask your Doka technician! 999736002 - 03/2012 77 The Formwork Experts Climbing formwork MF 240 Calculation Guide Doka formwork engineering Influence width of climbing brackets Structural design ☞ The structural design data given here apply only to standard assignments on straight walls. For assignments on e.g. inclined walls, separate statical verification must be performed. 6.0 A 5.5 B 4.5 4.0 3.5 3.0 9710-100-01 CAUTION ➤ If wind speeds > 72 km/h are likely, and when work finishes for the day or before prolonged work-breaks, always take extra precautions to fix the formwork in place. Suitable precautions: - set up the opposing formwork - move the travelling unit forward (together with the formwork) until it meets the top of the previously cast section, and knock the fixingwedges into place Formwork height [m] 5.0 2.5 2.0 0.0 1) Determine the wind pressure as a function of the wind speed, the building environment and the structure height. 2) Determine Curve (A) or (B) from the following table. Wind pressure [kN/m2] we = cp, net x q(Ze) (A) 1.69 (B) 1.43 1.0 1.5 2.0 2.5 3.0 3.5 4.0 Influence width [m] Wind pressure Curve 0.5 Example: Where cp, net = 1.3: Permissible wind speed = 164 km/h Where cp, net = 1.3: Permissible wind speed = 151 km/h Example ● Basic data: - Curve (B) (wind pressure = 1.43 kN/m2) - formwork height: 4.50 m ● Influence width: 3.20 m Larger influence widths may be possible when the live loads are determined on a project-specific basis. Note: Intermediate values may be linearly interpolated. Follow the directions in the Calculation Guide "Wind loads to the Eurocodes" when determining the wind pressure or ask your Doka technician! 78 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Climbing formwork MF 240 999736002 - 03/2012 79 The Formwork Experts Climbing formwork 150 F Calculation Guide Doka formwork engineering Climbing formwork 150 F Climbing formwork 150 F V ... permitted vertical load: 35 kN H ... permitted horizontal load: 65 kN Service loads A B 9775-239-01 C 9775-200-02 Loading data Anchoring on the structure Imposed loads A 150 kg/m2 B 300 kg/m2 C 75 kg/m2 V H 9775-256-01 80 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Climbing formwork 150 F Influence width of climbing brackets Wind pressure 1) Determine the wind pressure as a function of the wind speed, the building environment and the structure height. 2) Use the relevant diagram, (A) or (B) . Diagram (A) (wind pressure = 1.00 kN/m2) 6.0 5.5 C D 5.0 4.5 4.0 3.5 3.0 2.5 9736-124 CAUTION ➤ If wind speeds > 72 km/h are likely, and when work finishes for the day or before prolonged work-breaks, always take extra precautions to fix the formwork in place. Suitable precautions: - set up the opposing formwork - turn the screwjack mechanism until the formwork meets the top of the previously cast section, and knock the fixing-wedges into place Formwork height [m] Structural design 2.0 Diagram Wind pressure [kN/m2] we = cp, net x q(Ze) (A) 1.00 (B) 1.365 0.0 0.5 1.0 Example: Where cp, net = 1.3: Permissible wind speed = 126 km/h Where cp, net = 1.3: Permissible wind speed = 147 km/h Follow the directions in the Calculation Guide "Wind loads to the Eurocodes" when determining the wind pressure or ask your Doka technician! Larger influence widths may be possible when the live loads are determined on a project-specific basis. 1.5 2.0 2.5 3.0 3.5 4.0 Influence width [m] C Without Wind bracing MF/150F/K 6.00m D With Wind bracing MF/150F/K 6.00m Example ● Basic data: - Diagram (A) (wind pressure = 1.00 kN/m2) - formwork height: 4.00 m ● Influence width: 3.00 m Diagram (B) (wind pressure = 1.365 kN/m2) 6.0 5.5 C D Formwork height [m] 5.0 4.5 4.0 3.5 3.0 9736-125 2.5 2.0 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 Influence width [m] C Without Wind bracing MF/150F/K 6.00m D With Wind bracing MF/150F/K 6.00m Example ● Basic data: - Diagram (B) (wind pressure = 1.365 kN/m2) - formwork height: 4.00 m ● Influence width: 2.60 m (without "Wind bracing") ● Influence width: 2.95 m (with "Wind bracing") 999736002 - 03/2012 81 The Formwork Experts Shaft platform Calculation Guide Doka formwork engineering Shaft platform 9736-236-01 Shaft platform B A C a a ... Inside dimension of shaft A Telescopic shaft beam B Pawl-type mounting C With main beam head (cone-type mounting) Max. load per hitching point Permitted vertical force: 2000 kg (20 kN) Explanation of terms q = Service load Permanent load (Service load + Permanent Influence width "b" load) x of the telescopic shaft beam Platform area in m2 Formwork load + service load distributed across entire platform area (at least 2.0 kN/m²). If it is also intended to store rebar on the platform, an exact loading calculation will be necessary. comprises the decking (0.3 kN/m² for 50 mm thick decking), the transverse squared timbers (6.0 kN/m³) and an estimate for the main-beam sections: ][100 = 0.22 kN/lin.m ][120 = 0.27 kN/lin.m ][140 = 0.33 kN/lin.m ][160 = 0.38 kN/lin.m If a suspended platform is being used, its dead weight must also be allowed for in the permanent load. Example ● Basic data: - Inside dimension of shaft: 2.30 m = Curve (C) ● Result: - Permitted load: 26 kN/m Design diagram for telescopic shaft beams with gravity pawls or main beam heads 40 ☞ A Load q [kN/m] 30 C Important note: The support reaction force is limited by the pawl support, or platform climbing cone, to 40 kN. B 20 D E 10 0 0 9736-143 1,0 2,0 3,0 4,0 5,0 6,0 Inside dimension of shaft 'a' [m] A Telescopic shaft beam 1.45-1.65m (2 x U100) B Telescopic shaft beam 1.65-2.00m (2 x U100) C Telescopic shaft beam 2.00-2.70m (2 x U120) D Telescopic shaft beam 2.70-3.80m (2 x U140) E Telescopic shaft beam 3.80-5.90m (2 x U160) 82 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Shaft platform 999736002 - 03/2012 83 The Formwork Experts Load-bearing tower Staxo 100 Calculation Guide Doka formwork engineering Load-bearing tower Staxo 100 Load-bearing tower Staxo 100 98003-287-01 84 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Load-bearing tower Staxo 100 Structural design Screw-jack extension lengths at top and bottom respectively Unbraced Braced 98003-288-01 98003-288-03 98003-304-01 Statical system Held at top 1) 98003-288-02 98003-288-04 Permitted leg load a a Frame height Up to 1.80 m 30 cm 70 cm Up to 1.20 m 30 cm 45 cm 6) Up to 1.20 m 3) 25 cm 40 cm 6) Up to 1.80 m 30 cm 45 cm 6) Max. height of load-bearing tower without intermediate anchoring 20 m 4) 2.10 m 4) 10 m 4) 20 m 4) 10 m 4) Head units restrained 62 kN 81 kN 84 kN 78 kN 93 kN Head units not restrained 51 kN 74 kN — — — 20 m 4) 88 kN — 6m 61 kN 5) 48 kN 5) 98003-305-01 Free-standing 2) a ... 1.5 - 3.0 m 1) e.g. enclosed space, or with back-stay 2) without back-stay, without holding device 3) with Staxo 100 frames 0.90m in the top and bottom 'storeys' 4) Intermediate anchoring planes may be necessary while the towers are being erected. 5) assuming a simultaneously acting horizontal load of 1 kN per leg 6) Not permitted in Germany as no type-test is available. Head units not restrained Superstructure with spindle struts 98003-330-01 Single primary beam, H20 98024-227-01 Swivel bearing plate for Screw jack U-head 98003-329-01 98003-328-01 98024-226-01 Head units restrained Double primary beams, H20 or single primary beam I tec Multi-purpose walings 20 Max. influence width of the secondary beams for the superstructure: 50 cm Preconditions for use Inclination adjustment ● Load-bearing towers with min. 2 frame planes (4 legs) ● Working wind of 0.2 kN/m2 (64.4 km/h) must be allowed for ● Separate proof must be provided, by a suitably skilled person, regarding the foundation. Particular attention must be paid here to the ground-bearing pressure! ● If the boundary conditions (e.g. max. wind) differ from those stated here, the User Information booklet "Load-bearing tower Staxo 100 stating design loads as per German type-test", or the type test itself, must be referred to as the basis for ensuring stable structural design. ● The calculated values conform to EN 12812 and EN 1993. ● Inclination is adjusted with a wooden wedge = no effect on the restraint situation. - e.g. with Wedge for screw jack U-head or Staxo wedge support ● Inclination is adjusted with a centering strip, e.g. with hexagon bolt M20x230, or Swivel bearing plate for Screw jack U-head = Screw jack U-head not restrained. 999736002 - 03/2012 85 The Formwork Experts Load-bearing tower Staxo 40 Calculation Guide Doka formwork engineering Load-bearing tower Staxo 40 Load-bearing tower Staxo 40 98024-310-01 86 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Load-bearing tower Staxo 40 Structural design Screw-jack extension lengths at top and bottom respectively Unbraced Braced 98024-323-01 Permissible leg load Statical system Held at top 2) 70 cm — — 70 cm — 70 cm 70 cm — 12.2 m 28.0 kN 1) — 15 cm 30 cm 15 cm 30 cm 15 cm 70 cm — 70 cm — 70 cm 3.2 m 2.4 m 7.5 m 7.8 m 7.5 m 33.5 kN 29.4 kN 4) 31.5 kN 1) 4) 26.0 kN 1) 4) 39.0 kN 1) 4) 26.5 kN 4) 20.5 kN 4) 28.2 kN 1) 4) — 37.0 kN 1) 4) 30 cm — 7.8 m 32.0 kN 1) 4) 26.5 kN 1) 4) a Frame height 98024-223-01 Up to 1.80 m a ... 1.0 - 3.0 m Free-standing 3) Up to 1.20 m 98024-223-02 Up to 1.80 m Up to 1.20 m 98024-302-01 15 cm 30 cm 70 cm 30 cm 70 cm 30 cm Max. height of load-bearing tower without intermediate anchoring 3.2 m 2.4 m 3.2 m 12.2 m 12.2 m 12.2 m a Head units restrained 33.5 kN 27.0 kN 19.0 kN 34.5 kN 1) 23.3 kN 1) 43.0 kN 1) Head units not restrained 27.5 kN 23.0 kN — 27.5 kN 1) — 36.5 kN 1) 4) a ... 1.5 - 3.0 m does not apply to frames used as single frames. Intermediate anchoring planes may be necessary while the towers are being erected. e.g. enclosed space, or with back-stay 3) without back-stay, without holding device 4) assuming a simultaneously acting horizontal load of 0.8 kN per leg 1) 2) Head units not restrained Superstructure with spindle struts 98024-230-01 Single primary beam, H20 98024-227-01 Swivel bearing plate for Screw jack U-head 98024-229-01 98024-228-01 98024-227-02 Head units restrained Single primary beam (I tec 20) or Double primary Multi-purpose waling beams (H20) Max. influence width of the secondary beams for the superstructure: 50 cm Preconditions for use Inclination adjustment ● Load-bearing towers with min. 2 frame planes (4 legs) ● Working wind of 0.2 kN/m2 (64.4 km/h) must be allowed for ● Separate proof must be provided, by a suitably skilled person, regarding the foundation. Particular attention must be paid here to the ground-bearing pressure! ● If the boundary conditions (e.g. max. wind) differ from those stated here, the User Information booklet "Load-bearing tower Staxo 40 stating design loads as per German type-test", or the type test itself, must be referred to as the basis for ensuring stable structural design. ● The calculated values conform to EN 12812 and EN 1993. ● Inclination is adjusted with a wooden wedge = no effect on the restraint situation. - e.g. with Wedge for screw jack U-head or Staxo wedge support ● Inclination is adjusted with a centering strip, e.g. with hexagon bolt M20x230, or Swivel bearing plate for Screw jack U-head = Screw jack U-head not restrained. 999736002 - 03/2012 87 The Formwork Experts Load-bearing tower d2 Calculation Guide Doka formwork engineering Load-bearing tower d2 Load-bearing tower d2 88 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Load-bearing tower d2 Load-bearing tower d2 held at top Free standing load-bearing tower d2 Max. 5 storeys, with any combination of the 1.80/1.20/0.90 m frames, or single-storey with 1.20 m frames F V F F V F V L F 9734-259-01 V a b Also allows for wind-loads acting on the load-bearing tower a ... 1.5 - 2.5 m b ... 1.5 m h ... max. 8.0 m LK max 25 cm LF max 35 cm Also allows for wind-loads acting on the load-bearing tower a ... 1.0 - 2.5 m b ... 1.5 m 70 Permitted leg load Fv (effective resistance) [kN] Permitted vertical load FV per leg: 57.6 kN Permitted horizontal load FH per leg: 1.15 kN L K ● Bottom height adjustment: - Heavy duty screw jack 70 or Screw jack foot ● Top height adjustment: - Screw jack U-head, 4-way screw-jack head or Uhead placed directly on frame ● Bottom height adjustment: - Heavy duty screw jack 70 or Screw jack foot ● Top height adjustment: - Screw jack U-head, 4-way screw-jack head or Uhead placed directly on frame 60 A 50 B 40 30 20 10 0 9734-100 0 10 20 30 35 Length LK by which Screw-jack U-head is extended [cm] A LF 35 cm B LF 70 cm 999736002 - 03/2012 89 The Formwork Experts Back-stays/shoring supports for the load-bearing towers Calculation Guide Doka formwork engineering Back-stays/shoring supports for the load-bearing towers Back-stays/shoring supports for the load-bearing towers Back-stay on the superstructure ☞ For transferring planned horizontal loads e.g. wind loads, concrete loads or in custom applications (e.g. on inclined load-bearing towers or for high load-bearing capacities). ☞ Screw the tie-rods all the way in to the rod connectors of the back-stay (i.e. until they are fully engaged)! Important note: Lashing straps are not suitable for transferring planned horizontal loads. 78. 0 C a A ... Back-stay force Q ... Shear force (corresponds to horizontal force H) R ... Resulting anchor force Z ... Anchor tensile force ☞ X Back-stay force Ak = 30 kN (Ad = 45 kN) 41. 0 C Anchor force [kN] α = 30° a) α = 45° a) α = 60° a) H D E F C Zk Qk = Hk 18.2 26.0 27.6 21.2 44.8 15.0 Rk Zd Qd = Hd 31.7 27.3 39.0 34.8 41.4 31.8 47.2 67.2 22.5 Rd 47.6 52.2 70.8 Back-stay force Ak = 40 kN (Ad = 60 kN) Anchor force [kN] α = 30° a) α = 45° a) α = 60° c) A V When calculating the leg loads, allow for the additional forces imposed by the back-stay! With high loads and long back-stays, watch out for any elongation of the back-stay! Zk Qk = Hk 24.3 34.6 36.8 28.3 59.7 20.0 Rk Zd Qd = Hd 42.3 36.5 51.9 46.4 55.2 42.5 62.9 89.6 30.0 Rd 63.5 69.6 94.4 Back-stay force Ak = 50 kN (Ad = 75 kN) Anchor force [kN] α = 30° b) α = 45° b) α = 60° c) B C 98003-249-01 H ... Horizontal force V ... Resulting vertical force from H A ... Back-stay/shoring force B Load-bearing tower Zk Qk = Hk 30.4 43.3 46.0 35.4 74.6 25.0 Rk Zd Qd = Hd Rd 52.9 45.6 65.0 79.4 58.0 69.0 53.1 87.0 78.7 111.9 37.5 118.1 Examples of anchor points in uncracked C 25/30 concrete: a) HILTI heavy duty anchor HSL M20 b) HILTI self-undercutting anchor HDA-T-M16 c) HILTI self-undercutting anchor HDA-P-M20, with an extra 50x10 washer with a diam. 22 mm hole or equivalent products from other manufacturers. Follow the manufacturer's applicable fitting instructions. CAUTION ➤ The "Back-stay for load-bearing towers" must not be dismounted until it is certain that there is sufficient stability for the load-bearing tower. C Bracing for load-bearing towers D Multi-purpose waling E Connecting pin 10cm F Spring cotter 5mm X Tie-rod 15.0 (not included in scope of supply) Length = 'a' minus 119 cm This leaves a 17 cm adjustment range available 90 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Shoring to the superstructure For transferring planned horizontal loads e.g. wind loads, concrete loads or in custom applications (e.g. on inclined load-bearing towers or for high load-bearing capacities). Back-stays/shoring supports for the load-bearing towers Loading capacity data for Eurex 60 550 (compressive force)* - when used as a shoring & plumbing accessory 35 D V A Permitted load [kN] 30 H 25 20 15 10 5 0 9745-101 3 4 5 6 7 8 9 10 11 12 13 14 Length extended [m] B A * 15 kN tensile force at any extension length 30 kN tensile force at any extension length and when anchored with 2 dowels For more detailed information, see the User Information booklet "Eurex 60 550" C 98003-307-01 H ... Horizontal force V ... Resulting vertical force from H A ... Back-stay/shoring force A Load-bearing tower B Plumbing strut Eurex 60 550 Temporary back-stays directly on the load-bearing tower, for site-erection ☞ Important note: Only suitable for use during erection of the load-bearing tower, but not for transferring planned horizontal loads. C Plumbing strut shoe Eurex 60 EB D Prop head Eurex 60 Top50 B A C Required load-bearing capacity of the dowels used: Rd≥ 25.5 kN (Rperm.≥ 17 kN) in any direction when 2 dowels are used. D Follow the manufacturer's applicable fitting instructions. CAUTION ➤ The plumbing strut must not be dismounted until it is certain that there is sufficient stability for the load-bearing tower. 98003-308-01 E A Scaffolding tube 48.3mm (with drilled hole ∅17mm) B Normal coupler 48mm C Spindle connecting plate T D Back-stay for load-bearing towers E Tie-rod 15.0mm 999736002 - 03/2012 91 The Formwork Experts Heavy-duty supporting system SL-1 Calculation Guide Doka formwork engineering Heavy-duty supporting system SL-1 Heavy-duty supporting system SL-1 9759-254-01 92 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Heavy-duty supporting system SL-1 System beams SL-1 Spindle struts SL-1 T16 The System beams SL-1 are modular, combinable steel girders from which universal heavy-duty supporting units can be assembled. ● Four sizes with usable lengths of 100 cm to 375 cm ● Overlap with next size: 55 cm ● Couplers for connecting up the scaffolding-tube bracing are permanently attached Overview of variants System beams SL-1 min. Usable length max. 100/140cm 100 cm 140 cm Permitted load Compressive 160 kN 160 kN 140/225cm 140 cm 225 cm 80 kN 160 kN 170/275cm 170 cm 275 cm 80 kN 160 kN 220/375cm 220 cm 375 cm 80 kN 160 kN Spindle strut SL-1 T16 5.00m 4.00m 3.00m 1.00m Tensile 0.75m The Offset pin SL-1 makes it easier to align the drilled holes during assembly. c c c c c b c a 9759-236-01 a ... 22.6 cm b ...24.0 cm c ... System increment-grid 50.0 cm Technical data: Section modulus: 1200 cm3 Moment of inertia: 14,600 cm4 999736002 - 03/2012 93 The Formwork Experts Heavy-duty supporting system SL-1 Calculation Guide Doka formwork engineering Multi-purpose walings SL-1 WU16 Practical examples ● Waling lengths from 0.625 m to 3.00 m ● 20 mm diam. hole-grid (of the WS 10), to permit utilisation with Top 50 components ● 32 mm diam. hole-grid for connecting the Spindle struts SL-1 T16, and for flexurally rigid joints. ● Higher permitted loads, permitting greater influence widths Connection for Spindle struts SL-1 T16 in the diam. 32 mm hole grid The two different integrated hole-grids make it possible to use a range of different connection methods, ensuring suitability for both cut-and-cover and underground tunnel construction situations. A C B a a 9759-273-01 Tr824-200-05 a ... 20 cm A Multi-purpose waling SL-1 WU 16 B Spindle strut SL-1 T16 Middle zone 31.9 161 520 Permitted moment M[kNm] Permitted shear force V [kN] Permitted normal force N [kN]1) Permitted moment of inertia [cm4] End zone 'a' 28 161 468 C Spacer bolt (welded in) Note: Allowance must be made for the welded-in spacer bolts when fitting connecting plates. 1850 Connected to a spindle or strut along the continuous 20 mm diam. hole-grid. Interaction diagram 35 B 31.94 30 28.04 A Permitted moment M [kNm] 25 C 23.14 C 22.74 20.51 20 D A 16.61 9759-281-01 B 15 A Multi-purpose waling SL-1 WU16 B Spindle strut D 10 C Splice plate Top 50 8.12 5 D Connecting pin 25 cm with spring cotter 5mm Connected to bracing tubes by screw-on couplers 0 20 161.8 Tr824-104 0 80.9 34.7 4.28 40 60 80 100 120 140 B C 160 D Permitted shear force V [kN] A Middle zone Nk = 0 kN1) B Middle zone Nk = 160 kN1) 9759-282-01 C End zone Nk = 0 kN1) D End zone Nk = 160 kN1) 1) without proof of stability ☞ Important note: A A Multi-purpose waling SL-1 WU16 B Bracing tube C Screw-on coupler D Limpet washer 17 + Spring washer A16 Bending and buckling loading in the weak direction decreases the permissible internal forces many times over. 94 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Heavy-duty supporting system SL-1 999736002 - 03/2012 95 The Formwork Experts Bridge edge beam formwork T Calculation Guide Doka formwork engineering Bridge edge beam formwork T Bridge edge beam formwork T 9770-200-01 96 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Bridge edge beam formwork T Basic system The basic system comprises the components illustrated here. It does not include add-ons such as the Bridge edge beam platform T 2.70m, Handrail post T 1.80m, etc. ~134 ±15° b D c C h 71.0 9730-273-01 s Q A 11.4 - 43.7 3° N 10°* B 22°* * ... where the underside of the cantilever slab has an inclination of 3° Max. dimensions of kerb when Doka formwork beams H20 are used b s c h Diagram for determining the centre-to-centre distance 'a' (excerpt from the type-test) 8.0 - 60.0cm 0 - 15.5 cm (where cantilever-slab inclination = 0°) 0 - 13.5 cm (where cantilever-slab inclination = 5°) Standard 25.0 cm Where the Bridge edge beam support (B) has a pronounced rearward inclination, this dimension must be determined with the aid of construction-design drawings 0 - 76 cm 80 70 a= a= 50 The centre-to-centre distance a between the Bridge edge beam brackets along the longitudinal axis of the bridge superstructure will depend on the kerb dimensions (b and h) and can be read off from the diagram. a= h [cm] Max. reaction forces of the basic system which will occur when the 'Diagram for determining the centreto-centre distance a' is used: Nd = 34.5 kN (Nk = 23 kN) Qd = 10.5 kN (Qk = 7 kN) Proofs must be provided in each individual case for the inward/onward transfer of these reaction forces into the structure. 80 60 40 100 120 a=1 40 60 a=1 80 a=1 30 20 10 0 20 9730-104 25 30 35 40 45 50 55 60 b [cm] 9730-237-01 a 999736002 - 03/2012 97 The Formwork Experts Bridge edge beam formwork T Calculation Guide Doka formwork engineering Other possible applications for Bridge edge beam formwork T Important note: ● Max. width of guard-rail boards 15cm. Where larger areas are exposed to wind, this reduces the possible influence widths! ● Depending upon the height above the ground, the influence will need to be limited because of the max. load-bearing capacity of the Handrail post T 1.80m (see 'Bridge edge beam formwork T' User Information booklet). ● The Doka beams H20 of the side-formwork must be statically verified! Where necessary, use them in the upright (i.e. loaded in the 'strong' direction)! ● A working wind of 0.2 kN/m2 (64 km/h) and a storm wind of 0.8 kN/m2 (129 km/h) have been allowed for. b h 25.0 3° Tr854-200-02 Max. service load on platform Service load on platform during pouring Abutments, Variant 1 WxH 13.2 30 x 45 cm 35 x 50 cm 40 x 60 cm 45 x 70 cm 40 x 80 cm h b 1.50 kN/m2 1.50 kN/m2 0.75 kN/m2 Nmax = 10.0 kN; Qmax =12.5 kN Permissible influences (effect of continuous beams is allowed for!) 1.40 m 1.70 m 1.25 m 1.40 m 0.95 m 1.05 m 0.75 m 0.80 m 0.60 m 0.65 m Bridge edge beam platform T 2.70m 30.5 41.7 25.2 27.7 ☞ Short cantilever-arm lengths b 25.2 h 25.0 Tr854-200-01 WxH 30 x 45 cm 35 x 50 cm 40 x 60 cm 45 x 70 cm 40 x 80 cm 3° 1.50 kN/m2 1.50 kN/m2 0.75 kN/m2 Nmax = 21.5 kN; Qmax =15.5 kN Permissible influences (effect of continuous beams is allowed for!) 2.50 m 2.50 m 2.35 m 2.35 m 1.50 m 1.50 m 1.00 m 1.00 m 0.64 m 0.64 m 27.7 Max. service load on platform Service load on platform during pouring 87.7° Tr854-200-03 198.5 205.8 Max. service load on platform Service load on platform during pouring WxH 30 x 45 cm 35 x 50 cm 40 x 60 cm 45 x 70 cm 40 x 80 cm 98 1.00 kN/m2 1.50 kN/m2 0.75 kN/m2 Nmax = 23.0 kN; Qmax =7.0 kN Without support With support beam beam Permissible influences (effect of continuous beams is allowed for!) 0.80 m 1.30 m 0.80 m 1.30 m 0.80 m 1.07 m 0.80 m 0.85 m 0.70 m 0.70 m 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Bridge edge beam formwork T 999736002 - 03/2012 99 The Formwork Experts Folding platform K Calculation Guide Doka formwork engineering Folding platform K Folding platform K Areas of use The comprehensive ready-to-use platform-range of the Folding platform K series meets the requirements of EN 12811-1, DIN 4420 Part 1 and ÖNORM B4007, and the Construction Worker Protection Ordinance (BauV). Practical examples of Load Classes Load Class 2 Load Class Load Class 3 4, 5, 6 e.g. for external rendering and stucco work, Normally for masonry and external rendering For service and maintenance work, especially coating, pointing or repair work; as a reinforcework, tiling and squared-stone facing work, and ment or pouring platform in reinforced-concrete for cleaning operations on facades heavy site-erection work. construction work. Only for work in which it is not necessary to The materials and equipment stored on the Building materials and parts may be set down store building materials or parts on the platform platform decking may not be set down on the on the platform by lifting-appliances and stored decking. platform by lifting-appliances. on the platform decking. Necessary precondition: Necessary precondition: When materials are stored on the platform When materials are stored on the platform decking, a clear access passage at least decking, a clear access passage at least 0.20 m wide must be left free. 0.20 m wide must be left free. Permitted service load Load Class 4 5 6 2 2 2 2 Permitted service load: 1.5 kN/m (150 kg/m ) Permitted service load: 2.0 kN/m (200 kg/m ) 3.0 kN/m2 4.5 kN/m2 6.0 kN/m2 (300 kg/m2) (450 kg/m2) (600 kg/m2) plus partial-area load The actual load is made up of the weight of the The actual load is made up of the weight of the stored material and of the persons on the plat- stored material and of the persons on the platform. form. For each person, a weight of 100 kg must be For each person, a weight of 100 kg must be assumed. assumed. Working platform with formwork without formwork 9725-354-01 9725-353-01 100 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Folding platform K Working platform with formwork H (horizontal load) and V (vertical load) refer to the loads at the suspension point. These loads cover all the Formwork shored from folding platform usage situations given here. The structure, and all parts of the structure, must be verified for stability on the basis of this data. Formwork shored from floor slab Formwork shored from folding platform, with back-stay for formwork and folding platform B A 9725-334-01 A A 9725-335-01 C 9725-336-01 kN/m2 Type of suspension point Closures Suspended platform Formwork height Load Class 2 (Permitted service load: 1.5 (150 on folding platform and pouring platform). Max. width of pouring platforms 1.20 m. Suspension loop Suspension loop Suspension cone Suspension cone Suspension cone ES* ES* H = 14.0 kN H = 14.0 kN H = 14.0 kN H = 14.0 kN H = 36.0 kN V = 24.0 kN V = 18.0 kN V = 24.0 kN V = 18.0 kN V = 20.0 kN 1.00 m 0.75 m 1.00 m 0.75 m Not allowed Allowed Not allowed Allowed Not allowed Allowed 3.00 m 3.00 m 5.50 m 4.00 m 3.75 m Wind speeds up to 55 km/h (as per "UVV" accident prevention rule for cranes). Formwork heights of up to 4.00 m are possible if the max. wind speed is lowered to 45 km/h. Follow the directions in the "Doka For higher wind speeds, and when climbing formwork K" User Information! work finishes for the day or for a prolonged break in site operations, precautions must be taken (like attaching to the inside formwork or backstaying) as shown here in the adjacent columns. kg/m2) * Ensure that the Folding platform K is at the correct height relative to the top of the floor slab. See the section headed "Loop-type suspension points" B Secure the formwork to the folding platform in a tension-proof manner (11kN) C Tension-proof back-stay (14 kN) 999736002 - 03/2012 101 The Formwork Experts Folding platform K Calculation Guide Doka formwork engineering usage situations given here. The structure, and all parts of the structure, must be verified for stability on the basis of this data. Types of suspension point 1) Working platform without formwork H (horizontal load) and V (vertical load) refer to the loads at the suspension point. These loads cover all the Suspension cone Rock anchor spreader unit 15.0 + Suspension cone 15.0 with collar Suspension cone 15.0 for insulation up to 11 cm (insulation thickness up to 6 cm) Suspension cone 15.0 for insulation up to 11 cm (insulation thickness up to 11 cm) Suspension loop ES Bridge edge beam anchor 30kN 15.0 Suspension profile AK/ES Suspension plate AK/ES H = 9.2 kN V = 9.2 kN H = 16.2 kN V = 16.0 kN Load Class 2 Load Class 3 Load Class 4 Permitted service load Permitted service load Permitted service load 1.5 kN/m2 2.0 kN/m2 3.0 kN/m2 (150 kg/m2) (200 kg/m2) (300 kg/m2) Closures Height adjustment with Suspension beam K2 Down -1.00 m -1.00 m -1.00 m Up +1.00 m +0.50 m +1.00 m 1.00 m Corners 1) 2) 2.50 m 2) 0.00 m 1.50 m 2) 0.00 m 1.00 m -1.00 m -1.00 m +0.50 m +0.50 m -1.00 m Not allowed Possible with Closure platform 3.00m or platform planking unit H = 25.0 kN V = 26.0 kN Load Class 5 Load Class 6 Permitted service Permitted service load load 6.0 kN/m2 4.5 kN/m2 (600 kg/m2) 2 (450 kg/m ) 0.75 m 0.50 m Not allowed Not allowed Not allowed Not allowed Only allowed with Corner folding platform A (Art.n° 580473000), otherwide corner zones are reclassified down to Load Class 4 For information on how to set up and use the Corner folding platform A, see Technical Newsletter N° 494 (12/2000) See also "Overview of suspension methods". For closures of longer than 1.00 m, only use the Closure platform 3.00m. Protection platform Sloping-rooftop fall barrier 9725-356-01 Fall barrier 9725-357-01 Protection platforms: General remarks Type of suspension point Closures Height adjustment with Suspension beam K2 Down Up Corners Protective canopy 9725-355-01 * For closures of longer than 1.00 m, only use the Closure platform 3.00m Load Class 2 Permitted service load: 1.5 kN/m2 (150 kg/m2) All types of suspenAll types of sion point possible suspension point except for Suspenpossible sion plate AK/ES 1.00 m 2.50 m* -1.00 m -1.00 m +1.00 m +0.50 m Corner configurations possible with Closure platform 3.00m or platform planking unit 102 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Edge protection system XP Edge protection system XP Edge protection system XP geprüfte Sicherheit 98031-256-01 BAU 10273 999736002 - 03/2012 103 The Formwork Experts Edge protection system XP Calculation Guide Doka formwork engineering Edge protection on the structure – railing-height 1.20 m e e 98031-222-01 a e a Railing clamp XP 40cm Railing clamp XP 85cm b a ... span b ... cantilever e ... influence width Important note: 3 x 15 cm 4 x 15 cm 3 x 20 cm 4 x 20 cm 5 x 20 cm Scaffold tubes 48.3mm 2) Gap-free boarding Dynamic pressure q [kN/m2] 0.2 0.6 1.1 1.3 Permissible influence width 'e' [m] Guard-rail boards 2.4 x 15 cm ● The span (a) of the handrail-post uprights is roughly equal to the influence width (e) if - they are evenly spaced - the guard-rail boards are either continuous or are jointed at the handrail posts, and - there are no cantilevering projections ● The wind conditions likely to be encountered in Europe, in accordance with EN 13374, are largely recognised by the dynamic pressure q=0.6 kN/m2 (highlighted grey in the tables). Clamped to concrete 2.5 x 12.5 cm 1) A fundamental distinction must be made between the span (a) and the influence width (e): ● The span is the distance between the handrail-post uprights (posts). ● The permitted influence width of a handrailpost upright is stated in the respective tables. ● The actual influence width can only be determined by calculation, and corresponds to roughly the distance between the handrailpost uprights (posts) b and in the case of a cantilever b + a/2. Protective grating XP 2.70x1.20m ☞ 1.8 1.8 2.5 1.8 1.8 1.9 1.9 1.8 1.5 2.7 2.7 1.8 1.5 3.6 3.3 1.8 1.5 2.9 2.4 1.3 1.1 3.4 2.4 1.3 1.1 3.4 2.4 1.3 1.1 5.0 5.0 5.0 4.4 1.8 1.3 0.7 0.6 1) with toeboard 3 x 20 cm, 4 x 20 cm or 5 x 20 cm 2) with toeboard 5 x 20 cm Screw-on shoe XP Note: The plank and board thicknesses given here comply with the C24 category of EN 338. Distance of anchorage point from edge: min. 10 cm 104 4 x 20 cm 5 x 20 cm Scaffold tubes 48.3mm 2) Gap-free boarding 98031-223-01 A 3 x 20 cm Dynamic pressure q [kN/m2] 0.2 0.6 1.1 1.3 4 x 15 cm When gap-free boarding is used, 2 extra Handrail posts XP (A) must be mounted at the corners. 3 x 15 cm Important note: Permissible influence width 'e' [m] Guard-rail boards 2.4 x 15 cm ☞ Permitted cantilever 0.3 m 0.5 m 0.8 m 1.4 m 1.0 m 1.6 m 1.9 m 1.3 m 2.5 x 12.5 cm 1) Side-protection component Guard-rail board 2.5 x 12.5 cm Guard-rail board 2.4 x 15 cm Guard-rail board 3 x 15 cm Guard-rail board 4 x 15 cm Guard-rail board 3 x 20 cm Guard-rail board 4 x 20 cm Guard-rail board 5 x 20 cm Scaffold tube 48.3mm Anchored in B10 grade concrete / fastened to reinforcement hoops (with Bridge-deck clamp XP) Protective grating XP 2.70x1.20m Permitted cantilever (b) of side-protection components 1.8 1.8 2.5 1.8 1.6 1.9 1.9 1.5 1.3 2.7 2.7 1.5 1.3 3.0 2.8 1.5 1.3 2.2 2.0 1.1 0.9 2.2 2.0 1.1 0.9 2.2 2.0 1.1 0.9 5.0 5.0 4.3 3.7 1.2 1.1 0.6 0.5 1) with toeboard 3 x 20 cm, 4 x 20 cm or 5 x 20 cm 2) with toeboard 5 x 20 cm 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Edge protection system XP Step bracket XP Distance of anchorage point from edge: min. 15 cm 3 x 20 cm 4 x 20 cm 5 x 20 cm Scaffold tubes 48.3mm 2) Gap-free boarding 3.6 3.3 1.8 1.5 2.9 2.4 1.3 1.1 3.4 2.4 1.3 1.1 3.4 2.4 1.3 1.1 5.0 5.0 5.0 4.4 1.8 1.3 0.7 0.6 4 x 15 cm 3 x 20 cm 4 x 20 cm 5 x 20 cm Scaffold tubes 48.3mm 2) Gap-free boarding 2.0 1.9 1.1 0.9 2.0 1.9 1.1 0.9 2.0 1.9 1.1 0.9 5.0 5.0 4.1 3.5 1.1 1.0 0.5 0.5 5 x 20 cm 3 x 15 cm 3.0 2.7 1.5 1.2 1) 4 x 20 cm 2.4 x 15 cm 3.0 2.7 1.5 1.0 Dynamic pressure q [kN/m2] 0.2 0.6 1.1 1.3 3 x 20 cm Permissible influence width 'e' [m] Guard-rail boards 4 x 15 cm 2.5 x 12.5 cm 1) 1.9 1.9 1.5 1.2 Protective grating XP 2.70x1.20m 1.8 1.8 2.5 1.8 1.5 with toeboard 5 x 20 cm 3.4 2.4 1.3 1.1 Distance of anchorage point from edge: min. 12 cm Permissible influence width 'e' [m] Guard-rail boards with toeboard 3 x 20 cm, 4 x 20 cm or 5 x 20 cm 3.4 2.4 1.3 1.1 Actual tensile force in Express anchor: Ed = 15.1 kN (F= 10.1 kN) Distance of anchorage point from edge: min. 12 cm, in building-elements that are at least 15 cm thick 2) 2.9 2.4 1.3 1.1 with toeboard 3 x 20 cm, 4 x 20 cm or 5 x 20 cm Anchored with an alternative anchor-bolt, e.g. Hilti push-in anchor M12x50, in C20/25 grade concrete 1) 3.6 3.3 1.8 1.5 Anchored with an alternative anchor-bolt, e.g. Hilti push-in anchor M12x50, in C20/25 grade concrete Actual tensile force in Express anchor: Ed= 13.6 kN (F = 9.1 kN) Dynamic pressure q [kN/m2] 0.2 0.6 1.1 1.3 2.7 2.7 1.8 1.5 3 x 15 cm with toeboard 5 x 20 cm 1.9 1.9 1.8 1.5 2.4 x 15 cm with toeboard 3 x 20 cm, 4 x 20 cm or 5 x 20 cm 2) 1.8 1.8 1.8 1.8 2.5 x 12.5 cm 1) 1) 1) 5 x 20 cm 4 x 15 cm 2.7 2.7 1.8 1.5 4 x 20 cm 3 x 15 cm 1.9 1.9 1.8 1.5 Dynamic pressure q [kN/m2] 0.2 0.6 1.1 1.3 3 x 20 cm 2.4 x 15 cm 1.8 1.8 2.5 1.8 1.8 Protective grating XP 2.70x1.20m Dynamic pressure q [kN/m2] 0.2 0.6 1.1 1.3 2.5 x 12.5 cm 1) Permissible influence width 'e' [m] Guard-rail boards 4 x 15 cm Permissible influence width 'e' [m] Guard-rail boards Distance of anchorage point from edge: min. 15 cm 3 x 15 cm Characteristic cube compressive strength of the new concrete (fck,cube): ≥ 14 N/mm2 Anchored by Doka Express anchor 16x125mm in C20/25 grade concrete 2.4 x 15 cm Anchored by Doka Express anchor 16x125mm in "green" (new) concrete 2.5 x 12.5 cm 1) Handrail-post shoe XP 1.8 1.8 1.7 1.4 1.9 1.9 1.4 1.2 2.7 2.6 1.4 1.2 2.7 2.6 1.4 1.2 1.8 1.9 1.0 0.9 1.8 1.9 1.0 0.9 1.8 1.9 1.0 0.9 with toeboard 3 x 20 cm, 4 x 20 cm or 5 x 20 cm Required safe working load of alternative anchorbolts: Rd≥ 9.9 kN (Fperm.≥ 6.6 kN) Follow the manufacturer's applicable fitting instructions. Bridge-deck clamp XP Required safe working load of alternative anchorbolts: Rd≥ 9.9 kN (Fperm.≥ 6.6 kN) Follow the manufacturer's applicable fitting instructions. For dimensioning-calculation table, see Screw-on shoe XP. 999736002 - 03/2012 105 The Formwork Experts Edge protection system XP Calculation Guide Doka formwork engineering Edge protection on the structure – railing-height 1.80 m 98031-240-02 e a e a Permitted cantilever (b) of side-protection components b a ... span b ... cantilever e ... influence width ☞ Important note: A fundamental distinction must be made between the span (a) and the influence width (e): ● The span is the distance between the handrail-post uprights (posts). ● The permitted influence width of a handrailpost upright is stated in the respective tables. ● The actual influence width can only be determined by calculation, and corresponds to roughly the distance between the handrailpost uprights (posts) b and in the case of a cantilever b + a/2. Side-protection component Guard-rail board 2.5 x 12.5 cm Guard-rail board 2.4 x 15 cm Guard-rail board 3 x 15 cm Guard-rail board 4 x 15 cm Guard-rail board 3 x 20 cm Guard-rail board 4 x 20 cm Guard-rail board 5 x 20 cm Scaffold tube 48.3mm ☞ Permitted cantilever 0.3 m 0.5 m 0.8 m 1.4 m 1.0 m 1.6 m 1.9 m 1.3 m Important note: When gap-free boarding is used, 2 extra Handrail posts XP (A) must be mounted at the corners. A 98031-242-01 e ● The span (a) of the handrail-post uprights is roughly equal to the influence width (e) if - they are evenly spaced - the guard-rail boards are either continuous or are jointed at the handrail posts, and - there are no cantilevering projections ● The wind conditions likely to be encountered in Europe, in accordance with EN 13374, are largely recognised by the dynamic pressure q=0.6 kN/m2 (highlighted grey in the tables). Note: The plank and board thicknesses given here comply with the C24 category of EN 338. 106 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Edge protection system XP Railing clamp XP 40cm Railing clamp XP 85cm Handrail-post shoe XP Anchored by Doka Express anchor 16x125mm in "green" (new) concrete Characteristic cube compressive strength of the new concrete (fck,cube): ≥ 14 N/mm2 3.2 3.2 2.3 1.9 1) with toeboard 3 x 20 cm, 4 x 20 cm or 5 x 20 cm 2) with toeboard 5 x 20 cm 2.5 2.3 Scaffold tubes 48.3mm 2) 0.9 0.9 0.7 0.6 5 x 20 cm 0.9 0.9 0.7 0.6 4 x 20 cm Scaffold tubes 48.3mm 2) 0.9 0.9 0.7 0.6 3 x 20 cm 5 x 20 cm 1.3 1.3 0.9 0.8 4 x 15 cm 4 x 20 cm 1.3 1.3 0.9 0.8 3 x 15 cm 3 x 20 cm 1.3 1.3 0.9 0.8 2.4 x 15 cm 4 x 15 cm 1.6 1.6 1.1 0.9 Dynamic pressure q [kN/m2] 0.2 0.6 1.1 1.3 Permissible influence width 'e' [m] Guard-rail boards 2.5 x 12.5 cm 1) 3 x 15 cm 2.3 2.4 x 15 cm 2.5 2.5 x 12.5 cm 1) Protective grating XP 2.70x1.20m and 2.70x0.60m Dynamic pressure q [kN/m2] 0.2 0.6 1.1 1.3 Permissible influence width 'e' [m] Guard-rail boards Protective grating XP 2.70x1.20m and 2.70x0.60m Distance of anchorage point from edge: min. 15 cm Clamped to concrete 1.6 1.6 1.1 0.9 1.3 1.3 0.9 0.8 1.3 1.3 0.9 0.8 1.3 1.3 0.9 0.8 0.9 0.9 0.7 0.6 0.9 0.9 0.7 0.6 0.9 0.9 0.7 0.6 3.2 3.2 2.3 1.9 1) with toeboard 3 x 20 cm, 4 x 20 cm or 5 x 20 cm 2) with toeboard 5 x 20 cm Actual tensile force in Express anchor: Ed= 14.0 kN (F = 9.0 kN) Anchored by Doka Express anchor 16x125mm in C20/25 grade concrete 2.4 x 15 cm 3 x 15 cm 4 x 15 cm 3 x 20 cm 4 x 20 cm 5 x 20 cm Scaffold tubes 48.3mm 2) Gap-free boarding 2.5 Permissible influence width 'e' [m] Guard-rail boards 2.5 x 12.5 cm 1) Dynamic pressure q [kN/m2] 0.2 0.6 1.1 1.3 Protective grating XP 2.70x1.20m and 2.70x0.60m Distance of anchorage point from edge: min. 15 cm 1.8 1.8 1.8 1.6 1.9 1.9 1.5 1.3 2.7 2.7 1.5 1.3 3.6 2.8 1.5 1.3 2.9 2.1 1.1 1.0 3.3 2.1 1.1 1.0 3.3 2.1 1.1 1.0 5.0 5.0 3.7 3.2 1.5 0.9 0.5 0.4 1) with toeboard 3 x 20 cm, 4 x 20 cm or 5 x 20 cm 2) with toeboard 5 x 20 cm Actual tensile force in Express anchor: Ed= 22.9 kN (F = 15.3 kN) 999736002 - 03/2012 107 The Formwork Experts Edge protection system XP Calculation Guide Doka formwork engineering Edge protection on the formwork e e a 98031-248-03 e a Railing clamp XP 40cm b a ... span b ... cantilever e ... influence width Important note: Railing-height 1.20 m 1) 108 Scaffold tubes 48.3mm 1) 2.0 2.0 — — 5.0 5.0 3.5 2.9 Used on deck-boards 5 x 20 cm 4 x 15 cm 3 x 20 cm 4 x 20 cm 5 x 20 cm Scaffold tubes 48.3mm 2) 2.5 3 x 15 cm Dynamic pressure q [kN/m2] 0.2 0.6 1.1 1.3 Permissible influence width 'e' [m] Guard-rail boards 2.4 x 15 cm Permitted cantilever (b) of side-protection components Permitted cantilever 0.3 m 0.5 m 0.8 m 1.4 m 1.0 m 1.6 m 1.9 m 1.3 m 2.2 2.0 2.0 — — with toeboard 5 x 20 cm Note: The plank and board thicknesses given here comply with the C24 category of EN 338. Side-protection component Guard-rail board 2.5 x 12.5 cm Guard-rail board 2.4 x 15 cm Guard-rail board 3 x 15 cm Guard-rail board 4 x 15 cm Guard-rail board 3 x 20 cm Guard-rail board 4 x 20 cm Guard-rail board 5 x 20 cm Scaffold tube 48.3mm 2.5 4 x 15 cm Dynamic pressure q [kN/m2] 0.2 0.6 1.1 1.3 3 x 15 cm Permissible influence width 'e' [m] Guard-rail boards Protective grating XP 2.70x1.20m ● The span (a) of the handrail-post uprights is roughly equal to the influence width (e) if - they are evenly spaced - the guard-rail boards are either continuous or are jointed at the handrail posts, and - there are no cantilevering projections ● The wind conditions likely to be encountered in Europe, in accordance with EN 13374, are largely recognised by the dynamic pressure q=0.6 kN/m2 (highlighted grey in the tables). Used in direction of either secondary or primary beams 2.5 x 12.5 cm 1) A fundamental distinction must be made between the span (a) and the influence width (e): ● The span is the distance between the handrail-post uprights (posts). ● The permitted influence width of a handrailpost upright is stated in the respective tables. ● The actual influence width can only be determined by calculation, and corresponds to roughly the distance between the handrailpost uprights (posts) b and in the case of a cantilever b + a/2. Protective grating XP 2.70x1.20m ☞ 1.8 1.8 1.5 1.3 1.6 1.6 1.2 1.0 1.6 1.6 1.2 1.0 1.6 1.6 1.2 1.0 1.0 1.0 0.9 0.7 1.0 1.0 0.9 0.7 1.0 1.0 0.9 0.7 4.6 4.6 3.5 2.9 1) with toeboard 3 x 20 cm, 4 x 20 cm or 5 x 20 cm 2) with toeboard 5 x 20 cm 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Edge protection system XP Dokamatic adapter XP Railing-height 1.20 m 2.4 x 15 cm 3 x 15 cm 4 x 15 cm 3 x 20 cm 4 x 20 cm 5 x 20 cm Scaffold tubes 48.3mm 2) Gap-free boarding 1.8 1.8 2.5 1.8 1.8 1.9 1.9 1.8 1.5 2.7 2.7 1.8 1.5 3.6 3.3 1.8 1.5 2.9 2.4 1.3 1.1 3.4 2.4 1.3 1.1 3.4 2.4 1.3 1.1 5.0 5.0 5.0 4.4 1.8 1.3 0.7 0.6 Protective grating XP 2.70x1.20m Dynamic pressure q [kN/m2] 0.2 0.6 1.1 1.3 2.5 x 12.5 cm 1) Permissible influence width 'e' [m] Guard-rail boards 1) with toeboard 3 x 20 cm, 4 x 20 cm or 5 x 20 cm 2) with toeboard 5 x 20 cm 2.4 x 15 cm 3 x 15 cm 4 x 15 cm 3 x 20 cm 4 x 20 cm 5 x 20 cm Scaffold tubes 48.3mm 2) Gap-free boarding 2.5 Permissible influence width 'e' [m] Guard-rail boards 2.5 x 12.5 cm 1) Dynamic pressure q [kN/m2] 0.2 0.6 1.1 1.3 Protective grating XP 2.70x1.20m and 2.70x0.60m Railing-height 1.80 m 1.8 1.8 1.8 1.6 1.9 1.9 1.5 1.3 2.7 2.7 1.5 1.3 3.6 2.8 1.5 1.3 2.9 2.1 1.1 1.0 3.3 2.1 1.1 1.0 3.3 2.1 1.1 1.0 5.0 5.0 3.7 3.2 1.5 0.9 0.5 0.4 1) with toeboard 3 x 20 cm, 4 x 20 cm or 5 x 20 cm 2) with toeboard 5 x 20 cm 999736002 - 03/2012 109 The Formwork Experts Edge protection system XP Calculation Guide Doka formwork engineering Special applications Demarcation of work-zones When combined with fence-feet baseblocks, the Edge protection system XP can also be used to demarcate different working areas within a jobsite. Required spacing of the handrail posts: 2.50 m (as the Protective gratings XP have to be mounted in a higher position). Requirements for fence-feet baseblocks: ● Dead weight min. 25 kg; length of baseblock foot 80 cm ● Recess for 40 x 40 mm squared tube b h B C A 98031-234-01 b ... 250 cm h ... max. 130 cm A Fence-feet baseblock (site-provided) B Handrail post XP 1.20m C Protective grating XP 2.70x1.20m ☞ Important note: ● This demarcation fence is not a fall-arrest barrier as defined by EN 13374! ● Ensure that it has sufficient stability against overturning, and allow for wind loads! ● When used as a safety guard and demarcation fence for fall-hazard locations, it must be placed min. 2.00 m from the drop-off edge! ● Observe all local Standards and regulations! 110 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Edge protection system XP Structural design The Weld-on connecting piece XP can be used for fixing the Handrail post XP to steel components. Railing-height 1.20 m Underside of Weld-on connecting piece XP welded to e.g. an I-section girder Rear of Weld-on connecting piece XP welded to e.g. a squared tube 4 x 15 cm 3 x 20 cm 4 x 20 cm 5 x 20 cm Scaffold tubes 48.3mm 2) Gap-free boarding 2.4 x 15 cm Dynamic pressure q [kN/m2] 0.2 1.8 1.9 0.6 1.8 1.9 2.5 1.1 1.8 1.8 1.3 1.6 1.5 3 x 15 cm Practical examples Permissible influence width 'e' [m] Guard-rail boards 2.5 x 12.5 cm 1) WARNING ➤ For all fixing-situations other than those shown here, the weld-seam must be individually designed in each case. ➤ Make sure that the Weld-on connecting piece XP is attached in the correct mounting position! ➤ Observe all the standards and regulations applying to on-site welding work! ➤ The Weld-on connecting piece XP must be welded onto the steel component with a fillet weld (a = 4 mm) on all 4 sides. Protective grating XP 2.70x1.20m Fixing to steel components 2.7 2.7 1.8 1.5 3.6 3.3 1.8 1.5 2.9 2.4 1.3 1.1 3.4 2.4 1.3 1.1 3.4 2.4 1.3 1.1 5.0 5.0 5.0 4.4 1.8 1.3 0.7 0.6 1) with toeboard 3 x 20 cm, 4 x 20 cm or 5 x 20 cm 2) with toeboard 5 x 20 cm Acting moment MEd: 112 kNcm A Railing-height 1.80 m Gap-free boarding 2.5 Scaffold tubes 48.3mm 2) B Decking board 5 x 20 cm Dynamic pressure q [kN/m2] 0.2 0.6 1.1 1.3 A Weld-on connecting piece XP 4 x 20 cm h ... 5 cm 3 x 20 cm 98031-237-02 4 x 15 cm 98031-237-01 3 x 15 cm h Permissible influence width 'e' [m] Guard-rail boards 2.4 x 15 cm A 2.5 x 12.5 cm 1) B Protective grating XP 2.70x1.20m and 2.70x0.60m B 1.8 1.8 1.8 1.6 1.9 1.9 1.5 1.3 2.7 2.7 1.5 1.3 3.6 2.8 1.5 1.3 2.9 2.1 1.1 1.0 3.3 2.1 1.1 1.0 3.3 2.1 1.1 1.0 5.0 5.0 3.7 3.2 1.5 0.9 0.5 0.4 1) with toeboard 3 x 20 cm, 4 x 20 cm or 5 x 20 cm 2) with toeboard 5 x 20 cm Acting moment MEd: 191 kNcm 999736002 - 03/2012 111 The Formwork Experts Guard rails Calculation Guide Doka formwork engineering Guard rails Guard rails Handrail clamp S Handrail post 1.10m Permitted centre-to-centre distances Permitted centre-to-centre distances a >1.0 m a b b h > 1.0 m h 9756-207-01 9430-202-01 Guard-rail boards Width w Height h 3 cm 15 cm 3, 4, 5 cm 20 cm Scaffolding tube 48.3mm Perm. centre-to-centre distance 'a' for heights above ground of up to 40 m 40 to 100 m q(Ze) ≤ 0.84 kN/m2 q(Ze) ≤ 1.1 kN/m2 2.00 m 1.60 m 1.50 m 1.15 m 3.00 m 3.00 m q(Ze) ... Impact pressure The smaller permitted centre-to-centre distance when 20 cm high guard-rail boards are used is due to the higher wind loads which are exerted upon the Handrail clamp. Note: The plank and board thicknesses given here comply with the C24 category of EN 338. Observe all national regulations applying to deckboards and guard-rail boards. 112 Guard-rail boards Width 'w' Height 'h' 3 cm 15 cm 4 cm 15 cm 3, 4, 5 cm 20 cm Scaffold tube 48.3mm Perm. centre-to-centre distance 'a' for heights above ground of Up to 40 m 40 to 100 m q ≤ 0.84 kN/m2 q ≤ 1.1 kN/m2 2.00 m 1.80 m 2.20 m 1.80 m 2.00 m 1.30 m 3.00 m 3.00 m q ... Dynamic pressure The smaller permitted centre-to-centre distance when 20 cm high guard-rail boards are used is due to the higher wind loads which are exerted upon the Guard rail 1.10m. 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Guard rails Handrail clamp T Handrail post T 1.80m Permitted centre-to-centre distances Structural design The table applies to installation situations with: ● Bridge edge beam support 1.40m ● Bridge edge beam platform T 2.70m ● Bridge edge beam bracket T 0.80m ● Multi-purpose waling or Steel waling WS10 Top50 9755-212-01 a >1.0 m Permitted influence widths for different sideguard configurations b Guardrail board [cm] 15x3 15x4 Height above ground up to 20 m 20 100 m up to 20 m 20 100 m up to 20 m 20 100 m 2.00 m 2.50 m 1.80 m 1.80 m 2.00 m 2.25 m 1.60 m 1.60 m 1.00 m 0.75 m Guard-rail boards Width 'w' Height 'h' 3 cm 15 cm 4 cm1) 15 cm 20 cm 3, 41), 5 cm1) Scaffold tube 48.3mm h ... 0.50 m TR507-209-01 h TR507-208-01 Perm. centre-to-centre distance 'a' for heights above ground of Up to 40 m 40 to 100 m q(Ze) ≤ 0.84 kN/m2 q(Ze) ≤ 1.1 kN/m2 2.00 m 2.00 m 2.50 m 2.00 m 2.00 m 1.50 m 3.00 m 3.00 TR507-207-01 h h h ... 1.80 m q(Ze) ... Dynamic pressure The smaller permitted centre-to-centre distance when 20 cm high guard-rail boards are used is due to the higher wind loads which are exerted upon the Handrail clamp T. 1) 4 cm and 5 cm guard-rail boards cannot be overlapped. 999736002 - 03/2012 113 The Formwork Experts Guard rails Calculation Guide Doka formwork engineering Other ways of erecting guard rails Max. influence width per handrail-post upright Screw-on handrail post 1.50m Scaffold tube Guard-rail board A A C Impact pressure q(ze) B b D F F G ≤ 1.1 kN/m2 ≤ 1.3 kN/m2 ≤ 1.7 kN/m2 G 98010-328-02 98010-328-01 4.0 m 3.4 m 2.6 m Height of guard-rail boards ≤15 cm ≤20 cm 1.7 m 1.3 m 1.5 m 1.1 m 1.1 m 0.8 m b ... 1500 mm A Screw-on handrail post 1.50m B Screw-on coupler 48mm 50 + Scaffold tube connector C Scaffold tube D Guard-rail boards F Plank, 5x20 cm G Square bolt, M10x120 ☞ Important note: In this handrail-post configuration, full-area enclosures are not allowed! How to mount: ☞ Important note: ➤ Screw planks (F) to the underside of the deck-boards to distribute the loads. F A b a F A 98016-292-01 a ... 10 cm b ... 15 cm ➤ Attach the Screw-on handrail posts 1.50m (A) using square bolts (G) . 114 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Formulae and tables Formulae and tables Formulae and tables Statical calculation of single-span beam Load case Reaction forces Bending moments Deflection for for max max (see Table 24a) max (see Table 24a) max max (see Table 24a, Load Case 1) max where where max where where max Extract from 'Bautechnische Zahlentafeln' (construction-engineering tables), 32nd edition 999736002 - 03/2012 115 The Formwork Experts Formulae and tables Load case Calculation Guide Doka formwork engineering Reaction forces Bending moments Deflection max where where max where max , With max for for where see Case 8 see Case 7 max for for max 2nd order parabola max where where 2nd order parabola max Extract from 'Bautechnische Zahlentafeln' (construction-engineering tables), 32nd edition 116 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Load case Reaction forces Formulae and tables Bending moments Deflection where max where max where for for , , Extract from 'Bautechnische Zahlentafeln' (construction-engineering tables), 32nd edition 999736002 - 03/2012 117 The Formwork Experts Formulae and tables Calculation Guide Doka formwork engineering Cross-sectional values 9736-192 Cross-section Centre of gravity Shear centre Centre of gravity and shear centre Extract from 'Bautabellen für Ingenieure' (construction tables for engineers), 12th edition 118 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Formulae and tables Medium flange-width I-beams IPE series, IPEo and IPEv series z b z c Excerpt from 'Stahlbauprofile' (steel structural sections), 24th edition tg Standard lengths for profile heights of ● less than 300 mm: 8 to 16 m ● 300 mm and above: 8 to 18 m h h-2c r y y y y ts d1 a1 9736-269-02 9736-269-01 z w1 z For reasons of corrosion protection, DIN EN ISO 12944-3 must be complied with in respect of a1. Symbol Dimensions in mm for h b ts I PE 1) 2) tg r A G y-y sy z-z h-2c Iy Wy iy Iz Wz iz cm2 kg/m cm4 cm3 cm cm4 cm3 cm cm t1) F1) Jx1) Wx1) ix1) Jy1) Wy1) iy1) sx1) Medium flange-width I-beams with parallel flange faces, I PE series (hot-rolled), to DIN 1025 Part 5 March 1994 edition and EURONORM 19-57 Tolerances on shape and dimensions to DIN EN 10034, March 1994 edition 5.2 5 59 2.84 7.64 6.00 80.1 20.0 3.24 8.49 3.69 1.05 6.9 5.7 7 74 3.87 10.3 8.10 171 34.2 4.07 15.9 5.79 1.24 8.6 6.3 7 93 5.00 13.2 10.4 318 53.0 4.90 27.7 8.65 1.45 10.5 6.9 7 112 6.26 16.4 12.9 541 77.3 5.74 44.9 12.3 1.65 12.3 7.4 9 127 7.63 20.1 15.8 869 109 6.58 68.3 16.7 1.84 14.0 8.0 9 146 9.12 23.9 18.8 1320 146 7.42 101 22.2 2.05 15.8 8.5 12 159 10.7 28.5 22.4 1940 194 8.26 142 28.5 2.24 17.6 9.2 12 177 12.4 33.4 26.2 2770 252 9.11 205 37.3 2.48 19.4 9.8 15 190 14.3 39.1 30.7 3890 324 9.97 284 47.3 2.69 21.2 10.2 15 219 17.1 45.9 36.1 5790 429 11.2 420 62.2 3.02 23.9 10.7 15 248 20.5 53.8 42.2 8360 557 12.5 604 80.5 3.35 26.6 11.5 18 271 23.9 62.6 49.1 11770 713 13.7 788 98.5 3.55 29.3 12.7 18 298 27.8 72.7 57.1 16270 904 15.0 1040 123 3.79 31.9 13.5 21 331 33.2 84.5 66.3 23130 1160 16.5 1320 146 3.95 35.4 14.6 21 378 40.9 98.8 77.6 33740 1500 18.5 1680 176 4.12 39.7 16.0 21 426 49.4 116 90.7 48200 1930 20.4 2140 214 4.31 43.9 17.2 24 467 59.1 134 106 67120 2440 22.3 2670 254 4.45 48.2 19.0 24 514 69.7 156 122 92080 3070 24.3 3390 308 4.66 52.4 cm2 s1) 80 100 120 140 160 180 200 220 240 270 300 330 360 400 450 500 550 600 I PEo I PEv 180 o 200 o 220 o 240 o 270 o 300 o 330 o 360 o 400 o 400 v 450 o 450 v 500 o 500 v 550 o 550 v 600 o 600 v For the axes of bending ASteg 80 100 120 140 160 180 200 220 240 270 300 330 360 400 450 500 550 600 46 55 64 73 82 91 100 110 120 135 150 160 170 180 190 200 210 220 3.8 4.1 4.4 4.7 5.0 5.3 5.6 5.9 6.2 6.6 7.1 7.5 8.0 8.6 9.4 10.2 11.1 12.0 Flange holes to DIN 997 Oct. 1970 edition d1 w1 mm mm 6.4 8.4 8.4 11 132) 13 13 17 17 21/17 23 25/23 25 28/25 28 28 28 28 26 30 36 40 44 50 56 60 68 72 80 86 90 96 106 110 120 120 13 13 17 17 21/17 23 25/23 25 28/25 28/25 28 28 28 28 28 28 28 28 50 56 62 68 72 80 86 90 98 98 106 106 110 110 120 120 120 120 Medium flange-width I-beams, I PEo series and I PEv series (not standardised) 182 202 222 242 274 304 334 364 404 408 456 460 506 514 556 566 610 618 92 102 112 122 136 152 162 172 182 182 192 194 202 204 212 216 224 228 6.0 6.2 6.6 7.0 7.5 8.0 8.5 9.2 9.7 10.6 11.0 12.4 12.0 14.2 12.7 17.1 15.0 18.0 9.0 9.5 10.2 10.8 12.2 12.7 13.5 14.7 15.5 17.5 17.6 19.6 19.0 23.0 20.2 25.2 24.0 28.0 9 12 12 15 15 15 18 18 21 21 21 21 21 21 24 24 24 24 146 159 177 190 219 248 271 298 331 331 378 378 426 426 467 467 514 514 10.3 11.9 14.0 16.2 19.6 23.3 27.2 32.1 37.6 41.4 48.2 54.6 58.4 69.7 68.0 92.4 87.9 106 27.1 32.0 37.4 43.7 53.8 62.8 72.6 84.1 96.4 107 118 132 137 164 156 202 197 234 21.3 25.1 29.4 34.3 42.3 49.3 57.0 66.0 75.7 84.0 92.4 104 107 129 123 159 154 184 1510 2210 3130 4370 6950 9990 13910 19050 26750 30140 40920 46200 57780 70720 79160 102300 118300 141600 165 219 282 361 507 658 833 1050 1320 1480 1790 2010 2280 2750 2850 3620 3880 4580 7.45 8.32 9.16 10.0 11.4 12.6 13.8 15.1 16.7 16.8 18.7 18.7 20.6 20.8 22.5 22.5 24.5 24.6 117 169 240 329 514 746 960 1250 1560 1770 2090 2400 2620 3270 3220 4260 4520 5570 25.5 33.1 42.8 53.9 75.5 98.1 119 146 172 194 217 247 260 321 304 395 404 489 2.08 2.30 2.53 2.74 3.09 3.45 3.64 3.86 4.03 4.06 4.21 4.26 4.38 4.46 4.55 4.59 4.79 4.88 15.9 17.7 19.5 21.3 24.2 26.9 29.5 32.1 35.6 35.8 40.0 39.8 44.2 44.7 48.5 48.7 52.9 53.2 Previous terms Standardised bolts for high-strength friction grip (HSFG) joints are not usable in these cases. 999736002 - 03/2012 119 The Formwork Experts Formulae and tables Calculation Guide Doka formwork engineering Wide-flange I-beams z Series HE-B = I PB b w1 c Excerpt from 'Stahlbauprofile' (steel structural sections), 24th edition tg r h h-2c Standard lengths for profile heights of ● less than 300 mm: 8 to 16 m ● 300 mm and above: 8 to 18 m y y ts d1 9736-269-01 w3 w2 w3 z Symbol Dimensions in mm for h b ts HE-B I PB 1) tg r h-2c 100 120 140 160 180 200 220 240 260 280 300 320 340 360 400 450 500 550 600 650 700 800 900 1000 100 120 140 160 180 200 220 240 260 280 300 300 300 300 300 300 300 300 300 300 300 300 300 300 6 6.5 7 8 8.5 9 9.5 10 10 10.5 11 11.5 12 12.5 13.5 14 14.5 15 15.5 16 17 17.5 18.5 19 A G y-y z-z sy Iy Wy iy Iz Wz iz cm2 kg/m cm4 cm3 cm cm4 cm3 cm cm t1) F1) Jx1) Wx1) ix1) Jy1) Wy1) iy1) sx1) Wide-flange I-beams with parallel flange faces, Series HE-B = I PB to DIN 1025 Part 2, November 1995 edition, and EURONORM 53-62 Tolerances on shape and dimensions to DIN EN 10034, March 1994 edition 10 12 56 5.40 26.0 20.4 450 89.9 4.16 167 33.5 2.53 8.63 11 12 74 7.08 34.0 26.7 864 144 5.04 318 52.9 3.06 10.5 12 12 92 8.96 43.0 33.7 1510 216 5.93 550 78.5 3.58 12.3 13 15 104 11.8 54.3 42.6 2490 311 6.78 889 111 4.05 14.1 14 15 122 14.1 65.3 51.2 3830 426 7.66 1360 151 4.57 15.9 15 18 134 16.6 78.1 61.3 5700 570 8.54 2000 200 5.07 17.7 16 18 152 19.4 91.0 71.5 8090 736 9.43 2840 258 5.59 19.6 17 21 164 22.3 106 83.2 11260 938 10.3 3920 327 6.08 21.4 17.5 24 177 24.2 118 93.0 14920 1150 11.2 5130 395 6.58 23.3 18 24 196 27.5 131 103 19270 1380 12.1 6590 471 7.09 25.1 19 27 208 30.9 149 117 25170 1680 13.0 8560 571 7.58 26.9 20.5 27 225 34.4 161 127 30820 1930 13.8 9240 616 7.57 28.7 21.5 27 243 38.2 171 134 36660 2160 14.6 9690 646 7.53 30.4 22.5 27 261 42.2 181 142 43190 2400 15.5 10140 676 7.49 32.2 24 27 298 50.8 198 155 57680 2880 17.1 10820 721 7.40 35.7 26 27 344 59.4 218 171 79890 3550 19.1 11720 781 7.33 40.1 28 27 390 68.4 239 187 107200 4290 21.2 12620 842 7.27 44.5 29 27 438 78.1 254 199 136700 4970 23.2 13080 872 7.17 48.9 30 27 486 88.3 270 212 171000 5700 25.2 13530 902 7.08 53.2 31 27 534 99.0 286 225 210600 6480 27.1 13980 932 6.99 57.5 32 27 582 114 306 241 256900 7340 29.0 14400 963 6.87 61.7 33 30 674 134 334 262 359100 8980 32.8 14900 994 6.68 70.2 35 30 770 160 371 291 494100 10980 36.5 15820 1050 6.53 78.5 36 30 868 183 400 314 644700 12890 40.1 16280 1090 6.38 86.8 cm2 s1) 100 120 140 160 180 200 220 240 260 280 300 320 340 360 400 450 500 550 600 650 700 800 900 1000 For the axes of bending ASteg Flange holes to DIN 997 Oct. 1970 edition d1 w1 w2 w3 mm mm mm 13 17 21 23 25 25 25 25 25 25 28 28 28 28 28 28 28 28 28 28 28 28 28 28 56 66 76 86 100 110 120 96 106 110 120 120 120 120 120 120 120 120 120 120 126 130 130 130 — — — — — — — 35 40 45 45 45 45 45 45 45 45 45 45 45 45 40 40 40 Previous terms 120 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Formulae and tables z Series HE-M = I PBv (heavy-duty version) b w1 c Excerpt from 'Stahlbauprofile' (steel structural sections), 24th edition tg Standard lengths for profile heights of ● less than 300 mm: 8 to 16 m ● 300 mm and above: 8 to 18 m h h-2c r y y ts d1 9736-269-01 w3 w2 w3 z Symbol Dimensions in mm for h b ts s1) HE-M I PBv 100 120 120 140 140 160 160 180 180 200 200 220 220 240 240 270 260 290 280 310 300 340 320/3052) 320 320 359 340 377 360 395 400 432 450 478 500 524 550 572 600 620 650 668 700 716 800 814 900 910 1000 1008 1) 2) For the axes of bending ASteg 106 126 146 166 186 206 226 248 268 288 310 305 309 309 308 307 307 306 306 305 305 304 303 302 302 12 12.5 13 14 14.5 15 15.5 18 18 18.5 21 16 21 21 21 21 21 21 21 21 21 21 21 21 21 tg r h-2c A G y-y z-z sy Flange holes to DIN 997 Oct. 1970 edition d1 w1 w2 w3 mm mm mm Iy Wy iy Iz Wz iz cm2 cm2 kg/m cm4 cm3 cm cm4 cm3 cm cm t1) F1) Jx1) Wx1) ix1) Jy1) Wy1) iy1) sx1) Wide-flange I-beams with parallel flange faces, Series HE-B = I PB to DIN 1025 Part 2, November 1995 edition, and EURONORM 53-62 Tolerances on shape and dimensions to DIN EN 10034, March 1994 edition 20 12 56 12.0 53.2 41.8 1140 190 4.63 399 75.3 2.74 9.69 13 21 12 74 14.9 66.4 52.1 2020 288 5.51 703 112 3.25 11.5 17 22 12 92 17.9 80.6 63.2 3290 411 6.39 1140 157 3.77 13.3 21 23 15 104 22.0 97.1 76.2 5100 566 7.25 1760 212 4.26 15.1 23 24 15 122 25.5 113 88.9 7480 748 8.13 2580 277 4.77 16.9 25 25 18 134 29.2 131 103 10640 967 9.00 3650 354 5.27 18.7 25 26 18 152 33.2 149 117 14600 1220 9.89 5010 444 5.79 20.6 25 32 21 164 42.8 200 157 24290 1800 11.0 8150 657 6.39 22.9 25/23 32.5 24 177 46.3 220 172 31310 2160 11.9 10450 780 6.90 24.8 25 33 24 196 51.2 240 189 39550 2550 12.8 13160 914 7.40 26.7 25 39 27 208 63.2 303 238 59200 3480 14.0 19400 1250 8.00 29.0 25 29 27 208 46.6 225 177 40950 2560 13.5 13740 901 7.81 28.0 28 40 27 225 67.0 312 245 68130 3800 14.8 19710 1280 7.95 30.7 28 40 27 243 70.8 316 248 76370 4050 15.6 19710 1280 7.90 32.4 28 40 27 261 74.6 319 250 84870 4300 16.3 19520 1270 7.83 34.0 28 40 27 298 82.3 326 256 104100 4820 17.9 19340 1260 7.70 37.4 28 40 27 344 92.0 335 263 131500 5500 19.8 19340 1260 7.59 41.5 28 40 27 390 102 344 270 161900 6180 21.7 19150 1250 7.46 45.7 28 40 27 438 112 354 278 198000 6920 23.6 19160 1250 7.35 49.9 28 40 27 486 122 364 285 237400 7660 25.6 18980 1240 7.22 54.1 28 40 27 534 132 374 293 281700 8430 27.5 18980 1240 7.13 58.3 28 40 27 582 142 383 301 329300 9200 29.3 18800 1240 7.01 62.5 28 40 30 674 163 404 317 442600 10870 33.1 18630 1230 6.79 70.9 28 40 30 770 183 424 333 570400 12540 36.7 18450 1220 6.60 79.0 28 40 30 868 203 444 349 722300 14330 40.3 18460 1220 6.45 87.2 28 60 68 76 86 100 110 120 100 110 116 120 120 126 126 126 126 126 130 130 130 130 130 132 132 132 — — — — — — — 35 40 45 50 50 47 47 47 47 47 45 45 45 45 42 42 42 42 Previous terms To EURONORM 53-62 (HE-C) 999736002 - 03/2012 121 The Formwork Experts Formulae and tables Calculation Guide Doka formwork engineering Series HE-A = I PBI (light-duty version) Excerpt from 'Stahlbauprofile' (steel structural sections), 24th edition Symbol Dimensions in mm for h b 1) ts tg r h-2c 96 114 133 152 171 190 210 230 250 270 290 310 330 350 390 440 490 540 590 640 690 790 890 990 100 120 140 160 180 200 220 240 260 280 300 300 300 300 300 300 300 300 300 300 300 300 300 300 A G y-y z-z sy Flange holes to DIN 997 Oct. 1970 edition d1 w1 w2 w3 mm mm mm Iy Wy iy Iz Wz iz cm2 kg/m cm4 cm3 cm cm4 cm3 cm cm s1) t1) F1) Jx1) Wx1) ix1) Jy1) Wy1) iy1) sx1) Wide-flange I-beams with parallel flange faces, light-duty version, Series HE-A = I PBI to DIN 1025 Part 3, March 1994 edition, and EURONORM 53-62 Tolerances on shape and dimensions to DIN EN 10034, March 1994 edition 5 8 12 56 4.40 21.2 16.7 349 72.8 4.06 134 26.8 2.51 8.41 13 5 8 12 74 5.30 25.3 19.9 606 106 4.89 231 38.5 3.02 10.1 17 5.5 8.5 12 92 6.85 31.4 24.7 1030 155 5.73 389 55.6 3.52 11.9 21 6 9 15 104 8.58 38.8 30.4 1670 220 6.57 616 76.9 3.98 13.6 23 6 9.5 15 122 9.69 45.3 35.5 2510 294 7.45 925 103 4.52 15.5 25 6.5 10 18 134 11.7 53.8 42.3 3690 389 8.28 1340 134 4.98 17.2 25 7 11 18 152 13.9 64.3 50.5 5410 515 9.17 1950 178 5.51 19.0 25 7.5 12 21 164 16.3 76.8 60.3 7760 675 10.1 2770 231 6.00 20.9 25 7.5 12.5 24 177 17.8 86.8 68.2 10450 836 11.0 3670 282 6.50 22.7 25 8 13 24 196 20.6 97.3 76.4 13670 1010 11.9 4760 340 7.00 24.6 25 8.5 14 27 208 23.5 113 88.3 18260 1260 12.7 6310 421 7.49 26.4 28 9 15.5 27 225 26.5 124 97.6 22930 1480 13.6 6990 466 7.49 28.2 28 9.5 16.5 27 243 29.8 133 105 27690 1680 14.4 7440 496 7.46 29.9 28 10 17.5 27 261 33.2 143 112 33090 1890 15.2 7890 526 7.43 31.7 28 11 19 27 298 40.8 159 125 45070 2310 16.8 8560 571 7.34 35.2 28 11.5 21 27 344 48.2 178 140 63720 2900 18.9 9470 631 7.29 39.6 28 12 23 27 390 56.0 198 155 86970 3550 21.0 10370 691 7.24 44.1 28 12.5 24 27 438 64.3 212 166 111900 4150 23.0 10820 721 7.15 48.4 28 13 25 27 486 73.4 226 178 141200 4790 25.0 11270 751 7.05 52.8 28 13.5 26 27 534 82.9 242 190 175200 5470 26.9 11720 782 6.97 57.1 28 14.5 27 27 582 96.1 260 204 215300 6240 28.8 12180 812 6.84 61.2 28 15 28 30 674 114 286 224 303400 7680 32.6 12640 843 6.65 69.8 28 16 30 30 770 138 321 252 422100 9480 36.3 13550 903 6.50 78.1 28 16.5 31 30 868 158 347 272 553800 11190 40.0 14000 934 6.35 86.4 28 cm2 HE-A I PBI 100 120 140 160 180 200 220 240 260 280 300 320 340 360 400 450 500 550 600 650 700 800 900 1000 For the axes of bending ASteg 56 66 76 86 100 110 120 94 100 110 120 120 120 120 120 120 120 120 120 120 120 130 130 130 — — — — — — — 35 40 45 45 45 45 45 45 45 45 45 45 45 45 40 40 40 Previous terms 122 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Formulae and tables Series HE-AA = I PBII (extra-lightduty version) Excerpt from 'Stahlbauprofile' (steel structural sections), 24th edition Symbol Dimensions in mm for h b ts s1) HE-AA I PBII 100 120 140 160 180 200 220 240 260 280 300 320 340 360 400 450 500 550 600 650 700 800 900 1000 1) tg r For the axes of bending ASteg A G cm2 cm2 F1) kg/m h-2c t1) y-y Iy cm4 Jx1) Wy cm3 Wx1) sy z-z iy cm ix1) Iz cm4 Jy1) Wz cm3 Wy1) iz cm iy1) cm sx1) Flange holes to DIN 997 Oct. 1970 edition d1 w1 w2 w3 mm mm mm Wide-flange I-beams, extra-light-duty version, Series HE-AA = PBII (not standardised) 91 109 128 148 167 186 205 224 244 264 283 301 320 339 378 425 472 522 571 620 670 770 870 970 100 4.2 120 4.2 140 4.3 160 4.5 180 5 200 5.5 220 6 240 6.5 260 6.5 280 7 300 7.5 300 8 300 8.5 300 9 300 9.5 300 10 300 10.5 300 11.5 300 12 300 12.5 300 13 300 14 300 15 300 16 5.5 5.5 6 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 13 13.5 14 15 15.5 16 17 18 20 21 12 12 12 15 15 18 18 21 24 24 27 27 27 27 27 27 27 27 27 27 27 30 30 30 56 74 92 104 122 134 152 164 177 196 208 225 243 261 298 344 390 438 486 534 582 674 770 868 3.60 4.35 5.25 6.34 7.97 9.79 11.8 14.0 15.2 17.8 20.4 23.2 26.2 29.4 34.7 41.1 48.1 58.3 66.7 75.5 84.9 105 127 152 15.6 18.6 23.0 30.4 36.5 44.1 51.5 60.4 69.0 78.0 88.9 94.6 101 107 118 127 137 153 164 176 191 218 252 282 12.2 14.6 18.1 23.8 28.7 34.6 40.4 47.4 54.1 61.2 69.8 74.2 78.9 83.7 92.4 99.7 107 120 129 138 150 172 198 222 237 413 719 1283 1967 2944 4170 5835 7981 10560 13800 16450 19550 23040 31250 41890 54640 72870 91870 113900 142700 208900 301100 406500 52.0 75.8 112 173 236 317 407 521 654 800 976 1093 1222 1359 1654 1971 2315 2792 3218 3676 4260 5426 6923 8380 3.89 4.72 5.59 6.50 7.34 8.17 9.00 9.83 10.8 11.6 12.5 13.2 13.9 14.7 16.3 18.2 20.0 21.8 23.7 25.5 27.3 30.9 34.6 38.0 92.1 159 275 479 730 1068 1510 2077 2788 3664 4734 4959 5185 5410 5861 6088 6314 6767 6993 7221 7673 8134 9041 9501 18.4 26.5 39.3 59.8 81.1 107 137 173 214 262 316 331 346 361 391 406 421 451 466 481 512 542 603 633 2.43 8.11 2.93 9.83 3.45 11.6 3.97 13.5 4.47 15.2 4.92 17.0 5.42 18.7 5.87 20.5 6.38 22.3 6.85 24.2 7.30 25.9 7.24 27.5 7.18 29.1 7.12 30.8 7.06 34.3 6.92 38.4 6.79 42.4 6.65 46.6 6.53 50.7 6.41 54.8 6.34 59.0 6.10 67.1 5.99 75.3 5.80 83.2 13 17 21 23 25 25 25 25 25 25 28 28 28 28 28 28 28 28 28 28 28 28 28 28 60 69 75 88 105 115 125 93 99 99 112 112 113 113 114 114 115 116 116 117 117 124 125 126 — — — — — — — 35 40 50 50 50 50 50 50 50 50 50 50 49 49 46 45 45 Previous terms 999736002 - 03/2012 123 The Formwork Experts Formulae and tables Calculation Guide Doka formwork engineering Narrow I-beams I series z b b 4 r1 r2 t h h-2c Standard lengths for profile heights of ● less than 300 mm: 8 to 16 m ● 300 mm and above: 8 to 18 m z c Excerpt from 'Stahlbauprofile' (steel structural sections), 24th edition y y y y s d1 w1 a1 9736-269-03 z 9736-269-01 z α ... gradient 14% For reasons of corrosion protection, DIN EN ISO 12944-3 must be complied with in respect of a1. Symbol Dimensions in mm for h b ts r1 tg s1) t1) 3.9 4.5 5.1 5.7 6.3 6.9 7.5 8.1 8.7 9.4 10.1 10.8 11.5 12.2 13.0 13.7 14.4 16.2 18.0 19.0 5.9 6.8 7.7 8.6 9.5 10.4 11.3 12.2 13.1 14.1 15.2 16.2 17.3 18.3 19.5 20.5 21.6 24.3 27.0 30.0 r2 1) 2) 80 100 120 140 160 180 200 220 240 260 280 300 320 340 360 380 400 450 500 550 42 50 58 66 74 82 90 98 106 113 119 125 131 137 143 149 155 170 185 200 A G y-y 2.3 2.7 3.1 3.4 3.8 4.1 4.5 4.9 5.2 5.6 6.1 6.5 6.9 7.3 7.8 8.2 8.6 9.7 10.8 11.9 z-z sy h-2c Iy Wy iy Iz Wz iz cm2 kg/m cm4 cm3 cm cm4 cm3 cm F1) Jx1) Wx1) ix1) Jy1) Wy1) iy1) Narrow I-beams with inclined inside flange faces, I series (hot-rolled), to DIN 1025 Part 1, May 1995 edition Tolerances on shape and dimensions to DIN EN 10024, May 1995 edition 59 2.89 7.57 5.94 77.8 19.5 3.20 6.29 3.00 0.91 75 4.19 10.6 8.34 171 34.2 4.01 12.2 4.88 1.07 92 5.72 14.2 11.1 328 54.7 4.81 21.5 7.41 1.23 109 7.49 18.2 14.3 573 81.9 5.61 35.2 10.7 1.40 125 9.48 22.8 17.9 935 117 6.40 54.7 14.8 1.55 142 11.7 27.9 21.9 1450 161 7.20 81.3 19.8 1.71 159 14.2 33.4 26.2 2140 214 8.00 117 26.0 1.87 176 16.8 39.5 31.1 3060 278 8.80 162 33.1 2.02 192 19.7 46.1 36.2 4250 354 9.59 221 41.7 2.20 208 23.1 53.3 41.9 5740 442 10.4 288 51.0 2.32 225 26.7 61.0 47.9 7590 542 11.1 364 61.2 2.45 241 30.7 69.0 54.2 9800 653 11.9 451 72.2 2.56 258 34.8 77.7 61.0 12510 782 12.7 555 84.7 2.67 274 39.2 86.7 68.0 15700 923 13.5 674 98.4 2.80 290 44.3 97.0 76.1 19610 1090 14.2 818 114 2.90 306 49.3 107 84.0 24010 1260 15.0 975 131 3.02 323 54.5 118 92.4 29210 1460 15.7 1160 149 3.13 363 69.0 147 115 45850 2040 17.7 1730 203 3.43 404 85.1 179 141 68740 2750 19.6 2480 268 3.72 445 98.8 212 166 99180 3610 21.6 3490 349 4.02 cm2 I 80 100 120 140 160 180 200 220 240 260 280 300 320 340 360 380 400 450 500 550 For the axes of bending ASteg cm sx1) 6.84 8.57 10.3 12.0 13.7 15.5 17.2 18.9 20.6 22.3 24.0 25.7 27.4 29.1 30.7 32.4 34.1 38.4 42.4 46.8 Flange holes to DIN 997 Oct. 1970 edition d1 w1 mm mm 6.4 6.4 8.4 11 11 132) 13 13 17/13 17 17 21/17 21/17 21 23/21 23/21 23 25/23 28 28 22 28 32 34 40 44 48 52 56 60 60 64 70 74 76 82 86 94 100 110 Terms used in DIN 1025 Standardised bolts for high-strength friction grip (HSFG) joints are not usable in these cases. 124 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Formulae and tables U-section steel Excerpt from 'Stahlbauprofile' (steel structural sections), 24th edition z b b1 Standard lengths for profile heights of ● less than 300 mm: 8 to 16 m ● 300 mm and above: 8 to 18 m ● (for U 30 x 15 to U 65: 6 to 12 m) z c r2 y M 9736-269-01 S y yM ts d1 y h-2c h r1 tg ez y 9736-269-04 a1 z w1 z α ... Inclination of inside flange faces: 8 % on profiles with h ≤ 300 5 % on profiles with h ≤ 300 b1 ... b/2 where h ≤ 300 b1 ... (b-ts)/2 where h > 300 ez ... distance from the centroidal axis z-z yM ... distance of shear centre M from z-axis For reasons of corrosion protection, DIN EN ISO 12944-3 must be complied with in respect of a1. Symbol Dimensions in mm for For the axes of bending ASteg h b ts tg = r13) s1) t1) r2 h-2c U 30x15 30 40x20 40 50x25 50 60 65 80 100 120 140 160 180 200 220 240 260 280 300 320 350 380 400 30 30 40 40 50 50 60 65 80 100 120 140 160 180 200 220 240 260 280 300 320 350 380 400 15 4 33 5 20 5 35 5 25 5 38 5 30 6 42 5.5 45 6 50 6 55 7 60 7 65 7.5 70 8 75 8.5 80 9 85 9.5 90 10 95 10 100 10 100 14 100 14 102 13.5 110 14 4.5 2 12 7 3.5 1 5.5 2.5 18 7 3.5 11 6 3 25 7 3.5 20 6 3 35 7.5 4 33 8 4 47 8.5 4.5 64 9 4.5 82 10 5 97 10.5 5.5 116 11 5.5 133 11.5 6 151 12.5 6.5 166 13 6.5 185 14 7 201 15 7.5 216 16 8 232 17.5 8.75 247 16 8 283 16 8 313 18 9 325 A G y-y z-z eZ Iy Wy iy Iz Wz iz cm2 cm2 kg/m cm4 cm3 cm cm4 cm3 cm cm F1) Jx1) Wx1) ix1) Jy1) Wy1) iy1) ey Round-edged U-section steel (hot-rolled), to DIN 1026 Part 1 March 2000 edition and Amendment 1, November 2002 edition 1.02 2.21 1.74 2.53 1.69 1.07 0.38 0.39 0.42 0.52 1.15 5.44 4.27 6.39 4.26 1.08 5.33 2.68 0.99 1.31 1.72 3.66 2.87 7.58 3.79 1.44 1.14 0.86 0.56 0.67 1.65 6.21 4.87 14.1 7.05 1.50 6.68 3.08 1.04 1.33 2.20 4.92 3.86 16.8 6.73 1.85 2.49 1.48 0.71 0.81 2.15 7.12 5.59 26.4 10.6 1.92 9.12 3.75 1.13 1.37 3.24 6.46 5.07 31.6 10.5 2.21 4.51 2.16 0.84 0.91 3.16 9.03 7.09 57.5 17.7 2.52 14.1 5.07 1.25 1.42 4.32 11.0 8.64 106 26.5 3.10 19.4 6.36 1.33 1.45 5.49 13.5 10.6 206 41.2 3.91 29.3 8.49 1.47 1.55 7.77 17.0 13.4 364 60.7 4.62 43.2 11.1 1.59 1.60 9.10 20.4 16.0 605 86.4 5.45 62.7 14.8 1.75 1.75 11.2 24.0 18.8 925 116 6.21 85.3 18.3 1.89 1.84 13.5 28.0 22.0 1350 150 6.95 114 22.4 2.02 1.92 16.0 32.2 25.3 1910 191 7.70 148 27.0 2.14 2.01 18.7 37.4 29.4 2690 245 8.48 197 33.6 2.30 2.14 21.6 42.3 33.2 3600 300 9.22 248 39.6 2.42 2.23 24.6 48.3 37.9 4820 371 9.99 317 47.7 2.56 2.36 26.5 53.3 41.8 6280 448 10.9 399 57.2 2.74 2.53 28.4 58.8 46.2 8030 535 11.7 495 67.8 2.90 2.70 42.3 75.8 59.5 10870 679 12.1 597 80.6 2.81 2.60 46.8 77.3 60.6 12840 734 12.9 570 75.0 2.72 2.40 49.1 80.4 63.1 15760 829 14.0 615 78.7 2.77 2.38 53.5 91.5 71.8 20350 1020 14.9 846 102 3.04 2.65 yM sy cm XM cm sx1) 0.74 2.22 1.01 2.32 1.34 2.47 1.50 2.60 2.67 2.93 3.03 3.37 3.56 3.75 3.94 4.20 4.39 4.66 5.02 5.41 4.82 4.45 4.58 5.11 — — — — — — — — 6.65 8.42 10.0 11.8 13.3 15.1 16.8 18.5 20.1 21.8 23.6 25.4 26.3 28.6 31.1 32.9 Flange holes to DIN 997 Oct. 1970 edition d1 w1 mm mm 4.3 8.4 6.4 8.4 8.4 11 8.4 11 132) 13 17/13 17 21/17 21 23/21 23 25/23 25 25 28 28 28 28 28 10 20 11 20 16 20 18 25 25 30 30 35 35 40 40 45 45 50 50 55 58 58 60 60 Terms used in DIN 1026 Standardised bolts for high-strength friction grip (HSFG) joints are not usable in these cases. 3) Exception: with U 40 x 20, t = 5.5 mm, r = 5 mm g 1 1) 2) 999736002 - 03/2012 125 The Formwork Experts Formulae and tables Calculation Guide Doka formwork engineering Rectangular shaped tubes Cold-worked welded tubes Extract from 'VÖEST works-standard specification' z y y z 9736-177 25 15 20 28 20 30 10 ±0.25 15 20 35 25 20 25 40 20 25 28 30 ±0.30 mm 1.5 1.5 2.0 1.5 2.0 1.5 2.0 1.5 2.0 1.5 2.0 1.5 2.0 1.5 2.0 1.5 2.0 2.5 3.0 2.0 1.5 2.0 1.5 2.0 1.5 2.0 2.5 3.0 1.5 2.0 2.5 1.5 2.0 2.5 1.5 2.0 2.5 3.0 A cm2 0.64 0.79 1.01 0.94 1.21 1.09 1.41 1.24 1.61 1.33 1.73 1.09 1.41 1.24 1.61 1.39 1.81 2.20 2.41 2.01 1.54 2.01 1.69 2.21 1.69 2.21 2.70 3.01 1.84 2.41 2.95 1.93 2.53 3.10 1.99 2.61 3.20 3.61 G kg/m 0.50 0.62 0.79 0.74 0.95 0.86 1.10 0.97 1.26 1.04 1.35 0.86 1.10 0.97 1.26 1.09 1.42 1.72 1.89 1.57 1.21 1.57 1.33 1.73 1.33 1.73 2.12 2.36 1.44 1.89 2.31 1.52 1.98 2.43 1.56 2.05 2.51 2.83 M m2/m 0.047 0.057 0.057 0.067 0.067 0.077 0.077 0.087 0.087 0.093 0.093 0.077 0.077 0.087 0.087 0.097 0.097 0.096 0.090 0.107 0.107 0.107 0.117 0.117 0.117 0.117 0.116 0.110 0.127 0.127 0.126 0.133 0.133 0.132 0.137 0.137 0.136 0.130 126 For axis of bending y-y z-z For rotation Outside circumferential surface ±0.20 15 Mass (weight) mm Cross-section b mm 10 10 Wall thickness h mm 15 20 Tolerance Dimensions Edge-zone: t ≤ 2.5 mm ... a ≈ t t ≥ 2.5 mm ... a ≈ 2t Iy cm4 0.17 0.36 0.43 0.49 0.59 0.86 1.05 1.07 1.32 1.41 1.75 1.06 1.30 1.37 1.69 1.67 2.08 2.43 2.41 2.48 2.45 3.07 2.87 3.62 3.42 4.31 5.10 5.21 3.97 5.04 5.98 4.31 5.47 6.51 4.53 5.76 6.86 7.27 Wy cm3 0.23 0.36 0.43 0.49 0.59 0.69 0.84 0.85 1.06 1.01 1.25 0.71 0.87 0.91 1.13 1.11 1.39 1.62 1.60 1.65 1.40 1.76 1.64 2.07 1.71 2.16 2.55 2.60 1.99 2.52 2.99 2.15 2.74 3.26 2.26 2.88 3.43 3.63 iy cm 0.52 0.68 0.65 0.72 0.70 0.89 0.87 0.93 0.91 1.03 1.01 0.99 0.96 1.05 1.03 1.10 1.07 1.05 1.00 1.11 1.26 1.24 1.30 1.28 1.42 1.40 1.38 1.32 1.47 1.45 1.43 1.49 1.47 1.45 1.51 1.49 1.47 1.42 Iz cm4 0.09 0.11 0.13 0.31 0.37 0.38 0.45 0.75 0.92 0.83 1.02 0.17 0.20 0.45 0.54 0.88 1.08 1.25 1.25 1.85 1.01 1.24 1.69 2.11 1.13 1.41 1.63 1.68 1.90 2.38 2.80 2.46 3.11 3.67 2.89 3.65 4.33 4.60 Wz cm3 0.17 0.23 0.26 0.41 0.49 0.50 0.60 0.75 0.92 0.83 1.02 0.34 0.39 0.59 0.72 0.88 1.08 1.25 1.25 1.48 1.01 1.24 1.35 1.69 1.13 1.41 1.63 1.68 1.52 1.90 2.24 1.76 2.22 2.62 1.93 2.44 2.89 3.07 iz cm 0.37 0.38 0.36 0.57 0.55 0.59 0.57 0.78 0.76 0.79 0.77 0.39 0.37 0.60 0.58 0.79 0.77 0.75 0.72 0.96 0.81 0.79 1.00 0.98 0.82 0.80 0.78 0.75 1.02 0.99 0.97 1.13 1.11 1.09 1.20 1.18 1.16 1.13 JD cm4 0.18 0.28 0.33 0.59 0.72 0.83 1.01 1.37 1.70 1.62 2.02 0.48 0.57 1.07 1.31 1.80 2.24 2.62 2.92 3.30 2.24 2.81 3.30 4.17 2.70 3.39 3.98 4.48 4.00 5.07 6.02 4.85 6.17 7.36 5.44 6.94 8.30 9.61 WD cm3 0.34 0.47 0.57 0.75 0.93 0.95 1.19 1.30 1.65 1.47 1.87 0.73 0.89 1.15 1.45 1.58 2.01 2.40 2.65 2.57 1.86 2.37 2.36 3.03 2.14 2.73 3.27 3.67 2.71 3.49 4.21 3.06 3.95 4.77 3.29 4.25 5.15 5.89 999736002 - 03/2012 The Formwork Experts 20 25 30 ±0.30 34 35 40 55 60 34 40 20 25 30 ±0.40 40 50 70 20 25 30 40 ±0.50 50 mm 1.5 2.0 2.5 1.5 2.0 2.5 3.0 1.5 2.0 2.5 3.0 1.5 2.0 2.5 3.0 4.0 2.0 2.0 1.5 2.0 2.5 3.0 4.0 2.0 2.0 1.5 2.0 2.5 2.0 1.5 2.0 2.5 3.0 4.0 1.5 2.0 2.5 3.0 4.0 2.0 3.0 4.0 2.0 2.0 2.0 2.5 2.0 3.0 4.0 3.0 4.0 A cm2 1.99 2.61 3.20 1.99 2.61 3.20 3.61 2.14 2.81 3.45 3.91 2.29 3.01 3.70 4.21 5.35 3.17 3.21 2.59 3.41 4.20 4.81 6.15 3.37 3.61 2.29 3.01 3.70 3.21 2.59 3.41 4.20 4.81 6.15 2.89 3.81 4.70 5.41 6.95 4.21 6.01 7.75 3.41 3.61 3.81 4.70 4.21 6.01 7.75 6.61 8.55 G kg/m 1.56 2.05 2.51 1.56 2.05 2.51 2.83 1.68 2.20 2.71 3.07 1.80 2.36 2.90 3.30 4.20 2.49 2.52 2.03 2.67 3.29 3.77 4.83 2.64 2.83 1.80 2.36 2.90 2.52 2.03 2.67 3.29 3.77 4.83 2.27 2.99 3.69 4.25 5.45 3.30 4.72 6.08 2.67 2.83 2.99 3.69 3.30 4.72 6.08 5.19 6.71 M m2/m 0.137 0.137 0.136 0.137 0.137 0.136 0.130 0.147 0.147 0.146 0.140 0.157 0.157 0.156 0.150 0.146 0.165 0.167 0.177 0.177 0.176 0.170 0.166 0.175 0.187 0.157 0.157 0.156 0.167 0.177 0.177 0.176 0.170 0.166 0.197 0.197 0.196 0.190 0.186 0.217 0.210 0.206 0.177 0.187 0.197 0.196 0.217 0.210 0.206 0.230 0.226 For axis of bending y-y z-z For rotation Outside circumferential surface 50 mm Mass (weight) b mm 25 Cross-section h mm 45 Formulae and tables Wall thickness Tolerance Dimensions Calculation Guide Doka formwork engineering Iy cm4 5.31 6.76 8.06 6.01 7.65 9.12 9.51 6.89 8.80 10.53 11.17 7.77 9.95 11.95 12.83 15.25 10.88 11.11 9.54 12.26 14.77 16.15 19.49 13.73 15.41 9.59 12.28 14.74 13.97 12.16 15.65 18.87 20.50 24.70 14.73 19.02 23.01 25.38 30.99 22.38 30.26 37.27 18.42 20.74 23.05 27.90 27.67 37.31 45.95 44.05 54.67 Wy cm3 2.36 3.00 3.58 2.40 3.06 3.65 3.81 2.76 3.52 4.21 4.47 3.11 3.98 4.78 5.13 6.10 4.35 4.44 3.81 4.90 5.91 6.46 7.80 4.99 5.60 3.20 4.09 4.91 4.66 4.05 5.22 6.29 6.83 8.23 4.91 6.34 7.67 8.46 10.33 7.46 10.09 12.42 5.26 5.92 6.59 7.97 7.91 10.66 13.13 12.59 15.62 iy cm 1.63 1.61 1.59 1.74 1.71 1.69 1.62 1.79 1.77 1.75 1.69 1.84 1.82 1.80 1.75 1.69 1.85 1.86 1.92 1.90 1.88 1.83 1.78 2.02 2.07 2.05 2.02 2.00 2.09 2.17 2.14 2.12 2.06 2.00 2.26 2.24 2.21 2.17 2.11 2.31 2.24 2.19 2.33 2.40 2.46 2.44 2.57 2.49 2.44 2.58 2.53 Iz cm4 2.10 2.65 3.12 1.39 1.73 2.02 2.12 2.31 2.91 3.43 3.67 3.50 4.44 5.28 5.70 6.69 5.93 6.34 6.75 8.65 10.39 11.38 13.68 6.45 9.37 1.65 2.06 2.41 3.44 4.11 5.23 6.23 6.80 8.06 7.87 10.10 12.15 13.44 16.28 16.87 22.79 27.98 2.38 3.97 6.01 7.17 11.54 15.50 18.88 26.10 32.22 Wz cm3 1.68 2.12 2.49 1.39 1.73 2.02 2.12 1.85 2.33 2.75 2.93 2.33 2.96 3.52 3.80 4.46 3.49 3.63 3.38 4.33 5.19 5.69 6.84 3.79 4.69 1.65 2.06 2.41 2.75 2.74 3.48 4.15 4.53 5.37 3.93 5.05 6.07 6.72 8.14 6.75 9.11 11.19 2.38 3.18 4.01 4.78 5.77 7.75 9.44 10.44 12.89 iz cm 1.03 1.01 0.99 0.84 0.82 0.79 0.77 1.04 1.02 1.00 0.97 1.24 1.22 1.20 1.16 1.12 1.37 1.41 1.61 1.59 1.57 1.54 1.49 1.38 1.61 0.85 0.83 0.81 1.04 1.26 1.24 1.22 1.19 1.14 1.65 1.63 1.61 1.58 1.53 2.00 1.95 1.90 0.84 1.05 1.26 1.24 1.66 1.61 1.56 1.99 1.94 JD cm4 4.72 6.00 7.13 3.64 4.57 5.39 6.10 5.46 6.94 8.26 9.52 7.50 9.60 11.52 13.40 16.24 11.91 12.51 12.11 15.62 18.87 22.19 27.49 13.66 17.98 4.60 5.79 6.83 8.87 9.65 12.38 14.87 17.34 21.14 15.79 20.41 24.72 29.12 36.30 29.47 42.45 53.51 7.03 10.84 15.23 18.32 25.39 36.31 45.43 53.43 67.61 999736002 - 03/2012 WD cm3 3.07 3.95 4.77 2.69 3.45 4.15 4.69 3.42 4.41 5.34 6.10 4.15 5.37 6.52 7.51 9.32 6.14 6.33 5.60 7.29 8.90 10.33 13.00 6.78 8.05 3.25 4.17 5.02 5.33 5.00 6.49 7.90 9.13 11.40 6.76 8.81 10.77 12.55 15.88 11.13 15.97 20.36 4.89 6.25 7.61 9.27 10.33 14.77 18.76 18.79 24.04 127 The Formwork Experts 40 ±0.60 50 60 90 100 50 60 ±0.75 34 40 50 60 80 110 120 40 60 70 40 ±0.80 50 60 80 140 34 40 ±1.00 mm 3.0 2.0 3.0 2.0 1.5 2.0 1.5 2.0 2.5 3.0 4.0 2.0 3.0 4.0 2.5 3.0 3.5 4.0 4.0 2.0 2.5 2.0 2.0 3.0 4.0 2.0 2.5 3.0 3.5 4.0 2.5 3.0 4.0 3.0 4.0 2.5 4.0 4.0 2.5 3.0 4.0 2.0 3.0 2.5 3.0 4.0 2.5 3.0 4.0 2.5 2.5 A cm2 5.71 4.21 6.01 4.37 3.34 4.41 3.49 4.61 5.70 6.61 8.55 5.01 7.21 9.35 6.70 7.81 8.99 10.15 10.15 5.81 7.20 5.17 5.41 7.81 10.15 5.81 7.20 8.41 9.69 10.95 7.70 9.01 11.75 10.21 13.35 7.20 12.55 13.35 7.70 9.01 11.75 6.61 9.61 8.70 10.21 13.35 9.70 11.41 14.95 8.40 8.70 G kg/m 4.48 3.30 4.72 3.43 2.62 3.46 2.74 3.62 4.47 5.19 6.71 3.93 5.66 7.34 5.26 6.13 7.06 7.97 7.97 4.56 5.65 4.06 4.24 6.13 7.97 4.56 5.65 6.60 7.61 8.59 6.04 7.07 9.22 8.01 10.48 5.65 9.85 10.48 6.04 7.07 9.22 5.19 7.54 6.83 8.01 10.48 7.61 8.96 11.73 6.59 6.83 M m2/m 0.200 0.217 0.210 0.225 0.227 0.227 0.237 0.237 0.236 0.230 0.226 0.257 0.250 0.246 0.276 0.270 0.268 0.266 0.266 0.297 0.296 0.265 0.277 0.270 0.266 0.297 0.296 0.290 0.288 0.286 0.316 0.310 0.306 0.350 0.346 0.296 0.326 0.346 0.316 0.310 0.306 0.337 0.330 0.356 0.350 0.346 0.396 0.390 0.386 0.344 0.356 128 For axis of bending y-y z-z For rotation Outside circumferential surface 34 35 Mass (weight) mm Cross-section b mm 25 30 Calculation Guide Doka formwork engineering Wall thickness h mm 80 Tolerance Dimensions Formulae and tables Iy cm4 38.90 32.35 43.35 34.79 27.29 35.39 29.60 38.44 46.79 52.25 64.79 44.52 61.15 76.36 61.81 70.05 79.30 87.92 102.71 66.99 81.97 61.31 67.07 92.34 115.70 76.67 93.84 106.46 120.76 134.14 105.72 120.57 152.58 148.81 169.47 104.44 193.52 216.01 130.52 148.04 186.89 120.44 168.58 165.04 189.12 240.74 199.56 230.20 294.59 180.29 194.47 Wy cm3 9.73 8.09 10.84 8.70 6.82 8.85 7.40 9.61 11.70 13.06 16.20 11.13 15.29 19.09 15.45 17.51 19.83 21.98 22.82 14.89 18.21 12.26 13.41 18.47 23.14 15.33 18.77 21.29 24.15 26.83 21.14 24.11 30.52 29.76 37.89 18.99 35.19 39.27 21.75 24.67 31.15 20.07 28.10 27.51 31.52 40.12 33.26 38.37 49.10 25.76 27.78 iy cm 2.61 2.77 2.69 2.82 2.86 2.83 2.91 2.89 2.87 2.81 2.75 2.98 2.91 2.86 3.04 3.00 2.97 2.94 3.18 3.40 3.37 3.44 3.52 3.44 3.38 3.63 3.61 3.56 3.53 3.50 3.71 3.66 3.60 3.82 3.77 3.81 3.93 4.02 4.12 4.05 3.99 4.27 4.19 4.36 4.30 4.25 4.54 4.49 4.44 4.63 4.73 Iz cm4 5.86 6.80 8.99 9.01 7.50 9.62 10.09 12.99 15.67 17.56 21.49 21.48 29.42 36.46 39.55 44.89 50.72 56.12 40.71 35.84 43.69 11.06 15.88 21.67 26.69 26.09 31.71 36.06 40.68 44.95 47.82 54.65 68.68 105.64 134.17 20.95 74.96 107.01 22.71 25.79 31.90 30.70 42.69 56.09 64.40 81.25 106.87 123.43 157.29 18.27 26.23 Wz cm3 4.69 4.53 6.00 5.30 4.29 5.49 5.04 6.49 7.83 8.78 10.74 8.59 11.77 14.59 13.18 14.96 16.91 18.71 16.28 11.95 14.56 6.51 7.94 10.84 13.35 10.44 12.68 14.42 16.27 17.98 15.94 18.22 22.89 26.41 33.54 10.47 24.99 30.57 11.35 12.89 15.95 12.28 17.08 18.70 21.47 27.08 26.72 30.86 39.32 10.75 13.11 iz cm 1.01 1.27 1.22 1.44 1.50 1.48 1.70 1.68 1.66 1.63 1.59 2.07 2.02 1.98 2.43 2.40 2.37 2.35 2.00 2.48 2.46 1.46 1.71 1.67 1.62 2.12 2.10 2.07 2.05 2.03 2.49 2.46 2.42 3.22 3.17 1.71 2.44 2.83 1.72 1.69 1.65 2.16 2.11 2.54 2.51 2.47 3.32 3.29 3.24 1.48 1.74 JD cm4 17.73 18.13 25.47 22.82 18.62 24.05 23.54 30.50 37.03 43.68 54.79 44.78 64.78 82.20 74.09 88.11 100.66 112.58 97.16 71.77 87.89 30.44 41.03 58.81 73.99 60.96 74.47 88.31 100.70 112.41 102.05 121.40 155.64 195.82 253.07 56.42 177.85 232.61 63.03 74.29 93.60 77.68 112.58 131.17 156.03 200.41 213.74 255.13 330.14 55.82 76.39 WD cm3 10.06 8.73 12.37 9.98 7.89 10.29 9.07 11.85 14.52 16.99 21.64 14.97 21.61 27.72 22.27 26.23 30.09 33.80 31.40 20.41 25.15 12.54 14.89 21.43 27.40 18.81 23.15 27.25 31.25 35.08 28.02 33.07 42.76 44.71 58.12 20.15 47.24 55.72 22.02 25.87 33.16 22.65 32.89 33.77 39.91 51.72 45.52 53.95 70.28 21.65 25.77 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Formulae and tables Quadratic shaped tubes Cold-worked welded tubes Extract from 'VÖEST works-standard specification' z y y z 9736-178 16 18 ±0.20 19 20 22 25 30 ±0.25 32 34 35 1.0 1.0 1.5 1.5 2.0 1.5 2.0 1.5 2.0 1.5 2.0 1.5 2.0 1.5 2.0 2.5 3.0 1.5 2.0 2.5 3.0 4.0 1.5 2.0 2.5 1.5 2.0 1.5 2.0 2.5 3.0 4.0 A cm2 0.35 0.55 0.79 0.85 1.09 0.97 1.25 1.03 1.33 1.09 1.41 1.21 1.57 1.39 1.81 2.20 2.41 1.69 2.21 2.70 3.01 3.75 1.81 2.37 2.90 1.93 2.53 1.99 2.61 3.20 3.61 4.55 G kg/m 0.28 0.43 0.62 0.67 0.85 0.76 0.98 0.81 1.04 0.86 1.10 0.95 1.23 1.09 1.42 1.72 1.89 1.33 1.73 2.12 2.36 2.94 1.42 1.86 2.27 1.52 1.98 1.56 2.05 2.51 2.83 3.57 M m2/m 0.038 0.058 0.057 0.061 0.061 0.069 0.069 0.073 0.073 0.077 0.077 0.085 0.085 0.097 0.097 0.096 0.090 0.117 0.117 0.116 0.110 0.106 0.125 0.125 0.124 0.133 0.133 0.137 0.137 0.136 0.130 0.126 For axis of bending ξ-ξ y - y= z- z For rotation Outside circumferential surface mm Mass (weight) mm Cross-section Wall thickness b/h mm 10 15 Tolerance Dimensions Edge-zone: t ≤ 2.5 mm ... a ≈ t t ≥ 2.5 mm ... a ≈ 2t b=h Iy cm4 0.05 0.18 0.24 0.30 0.35 0.44 0.53 0.52 0.64 0.62 0.76 0.84 1.04 1.27 1.58 1.85 1.84 2.28 2.87 3.38 3.50 3.97 2.80 3.53 4.18 3.39 4.29 3.71 4.71 5.60 5.95 6.93 Wy cm3 0.09 0.24 0.32 0.37 0.44 0.49 0.59 0.55 0.67 0.62 0.76 0.77 0.94 1.02 1.27 1.48 1.47 1.52 1.91 2.26 2.34 2.64 1.75 2.21 2.61 1.99 2.52 2.12 2.69 3.20 3.40 3.96 iy cm 0.37 0.57 0.55 0.59 0.57 0.67 0.65 0.71 0.69 0.75 0.73 0.84 0.81 0.96 0.94 0.92 0.87 1.16 1.14 1.12 1.08 1.03 1.24 1.22 1.20 1.32 1.30 1.37 1.34 1.32 1.28 1.23 Wξ cm3 0.07 0.18 0.24 0.28 0.34 0.36 0.44 0.41 0.50 0.46 0.57 0.57 0.71 0.75 0.94 1.11 1.21 1.11 1.41 1.68 1.87 2.22 1.27 1.62 1.94 1.45 1.85 1.54 1.97 2.36 2.67 3.23 e cm 0.67 1.02 1.00 1.07 1.05 1.21 1.19 1.28 1.26 1.35 1.33 1.49 1.47 1.71 1.68 1.66 1.52 2.06 2.04 2.02 1.87 1.79 2.20 2.18 2.16 2.34 2.32 2.41 2.39 2.37 2.23 2.14 Jd cm4 0.07 0.28 0.38 0.47 0.56 0.68 0.84 0.82 1.00 0.96 1.19 1.31 1.63 1.97 2.47 2.90 3.25 3.51 4.45 5.28 6.06 7.11 4.30 5.47 6.52 5.20 6.63 5.69 7.27 8.70 10.11 12.17 999736002 - 03/2012 Wd cm3 0.16 0.39 0.55 0.63 0.78 0.82 1.02 0.92 1.15 1.03 1.29 1.26 1.60 1.66 2.11 2.52 2.80 2.44 3.13 3.77 4.27 5.16 2.79 3.60 4.34 3.17 4.09 3.37 4.35 5.27 6.04 7.44 129 The Formwork Experts 45 ±0.30 50 51 60 ±0.40 70 ±0.50 80 ±0.60 90 ±0.75 100 ±0.80 1.5 2.0 2.5 3.0 4.0 1.5 2.0 2.5 3.0 4.0 1.5 2.0 2.5 3.0 4.0 2.5 3.0 4.0 2.0 2.5 3.0 3.5 4.0 2.5 3.0 3.5 4.0 2.5 3.0 4.0 2.5 3.0 4.0 3.0 4.0 A cm2 2.29 3.01 3.70 4.21 5.35 2.59 3.41 4.20 4.81 6.15 2.89 3.81 4.70 5.41 6.95 4.80 5.53 7.11 4.61 5.70 6.61 7.59 8.55 6.70 7.81 8.99 10.15 7.70 9.01 11.75 8.70 10.21 13.35 11.41 14.95 G kg/m 1.80 2.36 2.90 3.30 4.20 2.03 2.67 3.29 3.77 4.83 2.27 2.99 3.69 4.25 5.45 3.77 4.34 5.58 3.62 4.47 5.19 5.96 6.71 5.26 6.13 7.06 7.97 6.04 7.07 9.22 6.83 8.01 10.48 8.96 11.73 M m2/m 0.157 0.157 0.156 0.150 0.146 0.177 0.177 0.176 0.170 0.166 0.197 0.197 0.196 0.190 0.186 0.200 0.194 0.190 0.237 0.236 0.230 0.228 0.226 0.276 0.270 0.268 0.266 0.316 0.310 0.306 0.356 0.350 0.346 0.390 0.386 130 For axis of bending ξ-ξ y - y= z- z For rotation Outside circumferential surface mm Mass (weight) mm Cross-section Wall thickness b/h mm 40 Calculation Guide Doka formwork engineering Tolerance Dimensions Formulae and tables Iy cm4 5.64 7.21 8.63 9.32 11.07 8.15 10.46 12.58 13.78 16.61 11.30 14.56 17.59 19.47 23.74 18.73 20.77 25.37 25.75 31.28 35.13 39.53 43.55 50.69 57.53 65.09 72.12 76.83 87.84 111.04 110.69 127.28 161.92 177.05 226.35 Wy cm3 2.82 3.60 4.31 4.66 5.54 3.62 4.65 5.59 6.12 7.38 4.52 5.83 7.04 7.79 9.49 7.35 8.14 9.95 8.58 10.43 11.71 13.18 14.52 14.48 16.44 18.60 20.61 19.21 21.96 27.76 24.60 28.29 35.98 35.41 45.27 iy cm 1.57 1.55 1.53 1.49 1.44 1.77 1.75 1.73 1.69 1.64 1.98 1.96 1.94 1.90 1.85 1.98 1.94 1.89 2.36 2.34 2.31 2.28 2.26 2.75 2.71 2.69 2.67 3.16 3.12 3.07 3.57 3.53 3.48 3.94 3.89 Wξ cm3 2.04 2.62 3.17 3.61 4.44 2.61 3.37 4.09 4.70 5.83 3.25 4.22 5.13 5.92 7.41 5.35 6.18 7.75 6.19 7.56 8.80 10.00 11.13 10.46 12.24 13.97 15.62 13.83 16.24 20.85 17.68 20.81 25.84 25.95 33.58 e cm 2.77 2.75 2.72 2.58 2.50 3.12 3.10 3.08 2.93 2.85 3.47 3.45 3.43 3.29 3.20 3.50 3.36 3.27 4.16 4.14 3.99 3.95 3.91 4.85 4.70 4.66 4.62 5.55 5.41 5.33 6.26 6.12 6.03 6.82 6.74 Jd cm4 8.63 11.09 13.35 15.63 19.15 12.43 16.05 19.41 22.64 28.34 17.22 22.30 27.07 31.97 40.05 28.81 34.05 42.72 39.29 47.94 56.89 64.78 72.19 77.46 92.19 105.40 117.98 117.13 139.66 179.81 168.45 201.11 260.09 278.33 361.21 Wd cm3 4.45 5.77 7.02 8.11 10.12 5.68 7.39 9.02 10.48 13.20 7.06 9.21 11.27 13.15 16.68 11.75 13.72 17.42 13.45 16.52 19.39 22.18 24.84 22.77 26.83 30.79 34.60 30.02 35.47 45.96 38.27 45.31 58.92 56.35 73.48 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Formulae and tables Hollow profiles (tubes) with circular cross-sections Extract from 'Stahl im Hochbau' (steel in building construction'), 1969 edition, 13th edition D d s 9736-270-01 Cold-worked, welded steel tubes conforming to DIN 2458 (June 1966 edition) D mm 10.2 [13/32"] 13.5 [17/32"] 16 [5/8"] 17.2 [11/16"] 20 [25/32"] 21.3 [27/32"] 25 [–] s G mm Inches kg/m 1.4 0.056 0.308 1.6 0.064 0.344 1.8 0.072 0.378 2 0.080 0.410 1.4 0.056 0.420 1.6 0.064 0.472 1.8 0.072 0.522 2 0.080 0.571 1.4 0.056 0.505 1.6 0.064 0.569 1.8 0.072 0.632 2 0.080 0.692 1.4 0.056 0.549 1.6 0.064 0.620 1.8 0.072 0.688 2 0.080 0.754 2.3 0.092 0.850 2.6 0.104 0.942 2.9 0.116 1.03 1.4 0.056 0.644 1.6 0.064 0.728 1.8 0.072 0.810 2 0.080 0.890 2.3 0.092 1.01 2.6 0.104 1.12 2.9 0.116 1.12 1.4 0.056 0.694 1.6 0.064 0.785 1.8 0.072 0.874 2 0.080 0.962 2.3 0.092 1.09 2.6 0.104 1.21 2.9 0.116 1.33 3.2 0.128 1.44 3.6 0.144 1.59 4 0.160 1.72 4.5 0.176 1.87 1.4 0.056 0.815 1.6 0.064 0.923 1.8 0.072 1.03 2 0.080 1.13 2.3 0.092 1.29 2.6 0.104 1.44 2.9 0.116 1.58 3.2 0.128 1.72 3.6 0.144 1.90 4 0.160 2.07 4.5 0.176 2.28 d mm 7.4 7 6.6 6.2 10.7 10.3 9.9 9.5 13.2 12.8 12.4 12.0 14.4 14 13.6 13.2 12.6 12 11.4 17.2 16.8 16.4 16 15.4 14.8 14.2 18.5 18.1 17.7 17.3 16.7 16.1 15.5 14.9 14.1 13.3 12.3 22.2 21.8 21.4 21 20.4 19.8 19.2 18.6 17.8 17 16 F cm2 0.387 0.432 0.475 0.515 0.532 0.598 0.662 0.723 0.642 0.724 0.803 0.880 0.695 0.784 0.871 0.955 1.08 1.19 1.30 0.818 0.925 1.03 1.13 1.28 1.42 1.56 0.875 0.990 1.10 1.21 1.37 1.53 1.68 1.82 2.00 2.17 2.38 1.04 1.18 1.31 1.45 1.64 1.83 2.01 2.19 2.42 2.64 2.90 J cm4 0.038 0.041 0.044 0.046 0.099 0.108 0.116 0.123 0.173 0.190 0.206 0.220 0.219 0.241 0.262 0.281 0.306 0.328 0.347 0.356 0.394 0.430 0.464 0.509 0.550 0.586 0.435 0.484 0.529 0.571 0.629 0.681 0.727 0.768 0.816 0.857 0.898 0.725 0.809 0.888 0.963 1.07 1.16 1.25 1.33 1.42 1.51 1.60 W cm3 0.075 0.081 0.086 0.090 0.146 0.160 0.172 0.182 0.216 0.237 0.257 0.275 0.254 0.280 0.304 0.326 0.356 0.381 0.403 0.356 0.394 0.430 0.464 0.509 0.550 0.586 0.409 0.454 0.496 0.536 0.590 0.639 0.683 0.722 0.767 0.805 0.843 0.580 0.647 0.710 0.770 0.854 0.930 1.00 1.06 1.14 1.21 1.28 i cm 0.31 0.31 0.30 0.30 0.43 0.42 0.42 0.41 0.52 0.51 0.51 0.50 0.56 0.55 0.55 0.54 0.53 0.52 0.52 0.66 0.65 0.65 0.64 0.63 0.62 0.61 0.71 0.70 0.69 0.69 0.68 0.67 0.66 0.65 0.64 0.63 0.61 0.84 0.83 0.82 0.82 0.81 0.80 0.79 0.78 0.77 0.76 0.74 D mm s G mm Inches kg/m 1.4 0.056 0.888 1.6 0.064 1.01 1.8 0.072 1.12 2 0.080 1.24 2.3 0.092 1.41 2.6 0.104 1.57 26.9 [11/16"] 2.9 0.116 1.73 3.2 0.128 1.89 3.6 0.144 2.09 4 0.160 2.28 4.5 0.176 2.48 5 0.192 2.70 1.4 0.056 0.997 1.6 0.064 1.13 1.8 0.072 1.26 2 0.080 1.39 2.3 0.092 1.59 2.6 0.104 1.77 30 [13/16"] 2.9 0.116 1.96 3.2 0.128 2.14 3.6 0.144 2.37 4 0.160 2.59 4.5 0.176 2.83 5 0.192 3.08 1.4 0.056 1.06 1.6 0.064 1.20 1.8 0.072 1.34 2 0.080 1.48 2.3 0.092 1.68 2.6 0.104 1.88 31.8 [11/4"] 2.9 0.116 2.08 3.2 0.128 2.27 3.6 0.144 2.52 4 0.160 2.76 4.5 0.176 3.02 5 0.192 3.30 1.4 0.056 1.12 1.6 0.064 1.28 1.8 0.072 1.43 2 0.080 1.57 2.3 0.092 1.79 2.6 0.104 2.01 33.7 [111/32"] 2.9 0.116 2.22 3.2 0.128 2.42 3.6 0.144 2.69 4 0.160 2.95 4.5 0.176 3.23 5 0.192 3.54 d mm 24.1 23.7 23.3 22.9 22.3 21.7 21.1 20.5 19.7 18.9 17.9 16.9 27.2 26.8 26.4 26 25.4 24.8 24.2 23.6 22.8 22 21 20 29 28.6 28.2 27.8 27.2 26.6 26 25.4 24.6 23.8 22.8 21.8 30.9 30.5 30.1 29.7 29.1 28.5 27.9 27.3 26.5 25.7 24.7 23.7 F cm2 1.12 1.27 1.42 1.56 1.78 1.98 2.19 2.38 2.64 2.88 3.17 3.44 1.26 1.43 1.59 1.76 2.00 2.24 2.47 2.69 2.99 3.27 3.60 3.93 1.34 1.52 1.70 1.87 2.13 2.39 2.63 2.88 3.19 3.49 3.86 4.21 1.42 1.61 1.80 1.99 2.27 2.54 2.81 3.07 3.40 3.73 4.13 4.51 J cm4 0.914 1.02 1.12 1.22 1.36 1.48 1.60 1.70 1.83 1.94 2.07 2.17 1.29 1.44 1.59 1.73 1.93 2.12 2.29 2.45 2.65 2.83 3.02 3.19 1.55 1.74 1.92 2.09 2.33 2.56 2.78 2.98 3.22 3.44 3.69 3.91 1.86 2.08 2.30 2.51 2.81 3.09 3.36 3.60 3.91 4.19 4.50 4.78 999736002 - 03/2012 W cm3 0.680 0.760 0.835 0.907 1.01 1.10 1.19 1.27 1.36 1.45 1.54 1.61 0.859 0.963 1.06 1.16 1.29 1.41 1.53 1.64 1.77 1.88 2.01 2.13 0.973 1.09 1.20 1.31 1.47 1.61 1.75 1.87 2.03 2.17 2.32 2.46 1.10 1.24 1.37 1.49 1.67 1.84 1.99 2.14 2.32 2.49 2.67 2.84 i cm 0.90 0.90 0.89 0.88 0.87 0.86 0.85 0.85 0.83 0.82 0.81 0.79 1.01 1.01 1.00 0.99 0.98 0.97 0.96 0.95 0.94 0.93 0.92 0.90 1.08 1.07 1.06 1.06 1.05 1.04 1.03 1.02 1.01 0.99 0.98 0.96 1.14 1.14 1.13 1.12 1.11 1.10 1.09 1.08 1.07 1.06 1.04 1.03 131 The Formwork Experts Formulae and tables D mm s mm Inches 1.4 0.056 1.6 0.064 1.8 0.072 2 0.080 2.3 0.092 2.6 0.104 38 [11/2"] 2.9 0.116 3.2 0.128 3.6 0.144 4 0.160 4.5 0.176 5 0.192 1.4 0.056 1.6 0.064 1.8 0.072 2 0.080 2.3 0.092 2.6 0.104 42.4 [111/16"] 2.9 0.116 3.2 0.128 3.6 0.144 4 0.160 4.5 0.176 5 0.192 1.4 0.056 1.6 0.064 1.8 0.072 2 0.080 2.3 0.092 2.6 0.104 44.5 [13/4"] 2.9 0.116 3.2 0.128 3.6 0.144 4 0.160 4.5 0.176 5 0.192 1.4 0.056 1.6 0.064 1.8 0.072 2 0.080 2.3 0.092 2.6 0.104 48.3 [129/32"] 2.9 0.116 3.2 0.128 3.6 0.144 4 0.160 4.5 0.176 5 0.192 1.4 0.056 1.6 0.064 1.8 0.072 2 0.080 2.3 0.092 2.6 0.104 51 [2"] 2.9 0.116 3.2 0.128 3.6 0.144 4 0.160 4.5 0.176 5 0.192 Calculation Guide Doka formwork engineering G kg/m 1.27 1.45 1.62 1.79 2.04 2.29 2.53 2.77 3.08 3.38 3.71 4.07 1.43 1.62 1.82 2.01 2.29 2.57 2.84 3.11 3.47 3.81 4.19 4.61 1.50 1.70 1.91 2.11 2.41 2.70 2.99 3.28 3.65 4.02 4.42 4.87 1.63 1.86 2.08 2.30 2.63 2.95 3.27 3.59 4.00 4.41 4.85 5.34 1.72 1.96 2.20 2.43 2.78 3.12 3.46 3.79 4.23 4.66 5.13 5.67 d mm 35.2 34.8 34.4 34 33.4 32.8 32.2 31.6 30.8 30 29 28 39.6 39.2 38.8 38.4 37.8 37.2 36.6 36 35.2 34.4 33.4 32.4 41.7 41.3 40.9 40.5 39.9 39.3 38.7 38.1 37.3 36.5 35.5 34.5 45.5 45.1 44.7 44.3 43.7 43.1 42.5 41.9 41.1 40.3 39.3 38.3 48.2 47.8 47.4 47 46.4 45.8 45.2 44.6 43.8 43 42 41 132 F cm2 1.61 1.83 2.05 2.26 2.58 2.89 3.20 3.50 3.89 4.27 4.74 5.18 1.80 2.05 2.30 2.54 2.90 3.25 3.60 3.94 4.39 4.83 5.36 5.87 1.90 2.16 2.41 2.67 3.05 3.42 3.79 4.15 4.63 5.09 5.65 6.20 2.06 2.35 2.63 2.91 3.32 3.73 4.14 4.53 5.06 5.57 6.19 6.80 2.18 2.48 2.78 3.08 3.52 3.95 4.38 4.81 5.36 5.91 6.57 7.23 J cm4 2.70 3.04 3.36 3.68 4.13 4.55 4.96 5.34 5.82 6.26 6.76 7.22 3.79 4.27 4.74 5.19 5.84 6.46 7.06 7.62 8.33 8.99 9.76 10.5 4.41 4.97 5.51 6.04 6.81 7.54 8.24 8.91 9.75 10.5 11.5 12.3 5.68 6.41 7.12 7.81 8.81 9.78 10.7 11.6 12.7 13.8 15.0 16.2 6.71 7.58 8.43 9.26 10.5 11.6 12.7 13.8 15.1 16.4 17.9 19.3 W cm3 1.42 1.60 1.77 1.93 2.17 2.40 2.61 2.81 3.06 3.29 3.56 3.80 1.79 2.02 2.24 2.45 2.76 3.05 3.33 3.59 3.93 4.24 4.60 4.93 1.98 2.23 2.48 2.72 3.06 3.39 3.70 4.00 4.38 4.74 5.15 5.53 2.35 2.65 2.95 3.23 3.65 4.05 4.43 4.80 5.26 5.70 6.21 6.69 2.63 2.97 3.31 3.63 4.10 4.55 4.99 5.41 5.94 6.44 7.03 7.58 i cm 1.29 1.29 1.28 1.27 1.26 1.25 1.25 1.24 1.22 1.21 1.20 1.18 1.45 1.44 1.44 1.43 1.42 1.41 1.40 1.39 1.38 1.36 1.35 1.33 1.52 1.52 1.51 1.50 1.49 1.48 1.47 1.46 1.45 1.44 1.42 1.41 1.66 1.65 1.65 1.64 1.63 1.62 1.61 1.60 1.59 1.57 1.56 1.54 1.75 1.75 1.74 1.73 1.72 1.71 1.70 1.69 1.68 1.67 1.65 1.64 D mm 57 [21/4"] 60.3 [23/8"] 63.5 [21/2"] 70 [23/4"] 76.1 [3"] s mm Inches 1.4 0.056 1.6 0.064 1.8 0.072 2 0.080 2.3 0.092 2.6 0.104 2.9 0.116 3.2 0.128 3.6 0.144 4 0.160 4.5 0.176 5 0.192 1.4 0.056 1.6 0.064 1.8 0.072 2 0.080 2.3 0.092 2.6 0.104 2.9 0.116 3.2 0.128 3.6 0.144 4 0.160 4.5 0.176 5 0.192 1.4 0.056 1.6 0.064 1.8 0.072 2 0.080 2.3 0.092 2.6 0.104 2.9 0.116 3.2 0.128 3.6 0.144 4 0.160 4.5 0.176 5 0.192 1.4 0.056 1.6 0.064 1.8 0.072 2 0.080 2.3 0.092 2.6 0.104 2.9 0.116 3.2 0.128 3.6 0.144 4 0.160 4.5 0.176 5 0.192 1.4 0.056 1.6 0.064 1.8 0.072 2 0.080 2.3 0.092 2.6 0.104 2.9 0.116 3.2 0.128 3.6 0.144 4 0.160 4.5 0.176 5 0.192 G kg/m 1.94 2.20 2.47 2.74 3.13 3.52 3.90 3.90 4.78 5.27 5.81 6.41 2.05 2.33 2.62 2.90 3.31 3.73 4.14 4.54 5.07 5.59 6.17 6.82 2.16 2.46 2.76 3.06 3.50 3.93 4.36 4.79 5.36 5.91 6.52 7.21 2.38 2.72 3.05 3.37 3.86 4.35 4.83 5.30 5.93 6.55 7.24 8.01 2.60 2.96 3.32 3.68 4.22 4.75 5.28 5.80 6.49 7.17 7.92 8.77 d mm 54.2 53.8 53.4 53 52.4 51.8 51.2 50.6 49.8 49 48 47 57.5 57.1 56.7 56.3 55.7 55.1 54.5 53.9 53.1 52.3 51.3 50.3 60.7 60.3 59.9 59.5 58.9 58.3 57.7 57.1 56.3 55.5 54.5 53.5 67.2 66.8 66.4 66 65.4 64.8 64.2 63.6 62.8 62 61 60 74.7 72.9 72.5 72.1 71.5 70.9 70.3 69.7 68.9 68.1 67.1 66.1 F cm2 2.45 2.78 3.12 3.46 3.95 4.44 4.93 5.41 6.04 6.66 7.42 8.17 2.59 2.95 3.31 3.66 4.19 4.71 5.23 5.74 6.41 7.07 7.89 8.69 2.73 3.11 3.49 3.86 4.42 4.97 5.52 6.06 6.77 7.48 8.34 9.19 3.02 3.44 3.86 4.27 4.89 5.51 6.11 6.72 7.51 8.29 9.26 10.2 3.29 3.74 4.20 4.66 5.33 6.00 6.67 7.33 8.20 9.06 10.1 11.2 J cm4 9.46 10.7 11.9 13.1 14.8 16.5 18.1 19.6 21.6 23.5 25.8 27.9 11.2 12.7 14.2 15.6 17.7 19.7 21.6 23.5 25.9 28.2 30.9 33.5 13.2 14.9 16.6 18.3 20.7 23.1 25.4 27.6 30.5 33.2 36.5 39.6 17.8 20.1 22.4 24.7 28.1 31.3 34.5 37.5 41.5 45.3 49.9 54.2 22.9 26.0 29.0 32.0 36.3 40.6 44.7 48.8 54.0 59.1 65.1 70.9 W cm3 3.32 3.75 4.18 4.59 5.20 5.78 6.35 6.89 7.59 8.25 9.04 9.78 3.73 4.22 4.70 5.17 5.85 6.52 7.16 7.78 8.58 9.34 10.2 11.1 4.15 4.70 5.23 5.76 6.53 7.28 8.00 8.70 9.60 10.5 11.5 12.5 5.07 5.75 6.41 7.06 8.02 8.95 9.85 10.7 11.9 13.0 14.3 15.5 6.02 6.83 7.62 8.40 9.55 10.7 11.8 12.8 14.2 15.5 17.1 18.6 i cm 1.97 1.96 1.95 1.95 1.94 1.93 1.92 1.91 1.89 1.88 1.86 1.85 2.08 2.08 2.07 2.06 2.05 2.04 2.03 2.02 2.01 2.00 1.98 1.96 2.20 2.19 2.18 2.18 2.17 2.16 2.14 2.13 2.12 2.11 2.09 2.08 2.43 2.42 2.41 2.41 2.39 2.38 2.37 2.36 2.35 2.34 2.32 2.30 2.64 2.63 2.63 2.62 2.61 2.60 2.59 2.58 2.57 2.55 2.54 2.52 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering D mm 82.5 [31/4"] 88.9 [31/2"] 101.6 [4"] 108 [41/4"] 114.3 [41/2"] 121 [43/4"] s mm Inches 1.4 0.056 1.6 0.064 1.8 0.072 2 0.080 2.3 0.092 2.6 0.104 2.9 0.116 3.2 0.128 3.6 0.144 4 0.160 4.5 0.176 5 0.192 1.4 0.056 1.6 0.064 1.8 0.072 2 0.080 2.3 0.092 2.6 0.104 2.9 0.116 3.2 0.128 3.6 0.144 4 0.160 4.5 0.176 5 0.192 5.6 0.219 2 0.080 2.3 0.092 2.6 0.104 2.9 0.116 3.2 0.128 3.6 0.144 4 0.160 4.5 0.176 5 0.192 5.6 0.219 6.3 1/4 2 0.080 2.3 0.092 2.6 0.104 2.9 0.116 3.2 0.128 3.6 0.144 4 0.160 4.5 0.176 5 0.192 5.6 0.219 6.3 1/4 2 0.080 2.3 0.092 2.6 0.104 2.9 0.116 3.2 0.128 3.6 0.144 4 0.160 4.5 0.176 5 0.192 5.6 0.219 6.3 1/4 7.1 9/32 2.3 0.092 2.6 0.104 2.9 0.116 3.2 0.128 3.6 0.144 G kg/m 2.82 3.22 3.61 4.00 4.58 5.16 5.74 6.31 7.06 7.80 8.63 9.56 3.04 3.47 3.89 4.32 4.95 5.57 6.20 6.81 7.63 8.43 9.33 10.3 11.5 4.95 5.67 6.39 7.11 7.82 8.76 9.70 10.7 11.9 13.2 14.9 5.27 6.04 6.81 7.57 8.33 9.33 10.3 11.4 12.7 14.1 15.8 5.58 6.40 7.21 8.03 8.83 9.90 11.0 12.1 13.5 15.0 16.8 18.8 6.73 7.59 8.45 9.30 10.4 d mm 79.7 79.3 78.9 78.5 77.9 77.3 76.7 76.1 75.3 74.5 73.5 72.5 86.1 85.7 85.3 84.9 84.3 83.7 83.1 82.5 81.7 80.9 79.9 78.9 77.7 97.6 97 96.4 95.8 95.2 94.4 93.6 92.6 91.6 90.4 89 104 103.4 102.8 102.2 101.6 100.8 100 99 98 96.8 95.4 110 109.7 109.1 108.5 107.9 107.1 106.3 105.3 104.3 103.1 101.7 100.1 116.4 115.8 115.2 114.6 113.8 F cm2 3.57 4.07 4.56 5.06 5.79 6.53 7.25 7.97 8.92 9.86 11.0 12.2 3.85 4.39 4.93 5.46 6.26 7.05 7.84 8.62 9.65 10.7 11.9 13.2 14.7 6.26 7.18 8.09 8.99 9.89 11.1 12.3 13.7 15.2 16.9 18.9 6.66 7.64 8.61 9.58 10.5 11.8 13.1 14.6 16.2 18.0 20.1 7.06 8.09 9.12 10.1 11.2 12.5 13.9 15.5 17.2 19.1 21.4 23.9 8.58 9.67 10.8 11.8 13.3 J cm4 29.3 33.3 37.2 41.0 46.6 52.1 57.5 62.8 69.6 76.2 84.1 91.8 36.8 41.8 46.7 51.6 58.7 65.7 72.5 79.2 87.9 96.3 107 116 128 77.6 88.5 99.1 110 120 133 146 162 177 195 215 93.6 107 120 132 145 161 177 196 215 237 261 111 127 142 158 172 192 211 234 257 283 313 345 151 170 188 206 229 Formulae and tables W cm3 7.11 8.07 9.01 9.94 11.3 12.6 13.9 15.2 16.9 18.5 20.4 22.2 8.29 9.41 10.5 11.6 13.2 14.8 16.3 17.8 19.8 21.7 24.0 26.2 28.7 15.3 17.4 19.5 21.6 23.6 26.2 28.8 31.9 34.9 38.4 42.3 17.3 19.8 22.2 24.5 26.8 29.8 32.8 36.4 39.8 43.9 48.4 19.5 22.2 24.9 27.6 30.2 33.6 36.9 41.0 45.0 49.6 54.7 60.4 25.0 28.0 31.0 34.0 37.8 i cm 2.87 2.86 2.85 2.85 2.84 2.83 2.82 2.81 2.79 2.78 2.76 2.75 3.09 3.09 3.08 3.07 3.06 3.05 3.04 3.03 3.02 3.00 2.99 2.97 2.95 3.52 3.51 3.50 3.49 3.48 3.47 3.45 3.44 3.42 3.40 3.38 3.75 3.74 3.73 3.72 3.71 3.69 3.68 3.66 3.65 3.63 3.60 3.97 3.96 3.95 3.94 3.93 3.92 3.90 3.89 3.87 3.85 3.82 3.80 4.20 4.19 4.18 4.17 4.15 999736002 - 03/2012 133 The Formwork Experts Formulae and tables Calculation Guide Doka formwork engineering Squared timbers Extract from 'Bautechnische Zahlentafeln' (construction-engineering tables), 23rd edition y y z h b z 9736-270-01 Cross-sectional dimensions and structural-design values to DIN 4070 T1 (1.58) and T2 (10.63) b/h cm / cm 6/6 6/8 6 / 10 6 / 12 6 / 14 6 / 16 6 / 18 6 / 20 6 / 22 6 / 24 6 / 26 7 / 12 7 / 14 7 / 16 7 / 18 7 / 20 7 / 22 7 / 24 7 / 26 8/8 8 / 10 8 / 12 8 / 14 8 / 16 8 / 18 8 / 20 8 / 22 8 / 24 8 / 26 9/9 9 / 10 9 / 16 9 / 18 9 / 20 9 / 22 9 / 24 9 / 26 10 / 10 10 / 12 10 / 14 10 / 16 10 / 18 10 / 20 10 / 22 10 / 24 10 / 26 12 / 12 A cm2 36 48 60 72 84 96 108 120 132 144 156 84 98 112 126 140 154 168 182 64 80 96 112 128 144 160 176 192 208 81 90 144 162 180 198 216 234 100 120 140 160 180 200 220 240 260 144 G Wy Iy N/m cm3 cm4 21.6 36 108 28.8 64 256 36.0 100 500 43.2 144 864 50.4 196 1372 57.6 256 2048 64.8 324 2916 72.0 400 4000 79.2 484 5324 86.4 576 6912 93.6 676 8788 50.4 168 1008 58.8 229 1601 67.2 299 2389 75.6 378 3402 84.0 467 4667 92.4 565 6211 100.8 672 8064 109.2 789 10253 38.4 85 341 48.0 133 667 57.6 192 1152 67.2 261 1829 76.8 341 2731 86.4 432 3888 96.0 533 5333 105.6 645 7099 115.2 768 9216 124.8 901 11717 48.6 121 547 54.0 150 750 86.4 384 3072 97.2 486 4374 108.0 600 6000 118.8 726 7986 129.6 864 10368 140.4 1014 13182 60.0 167 833 72.0 240 1440 84.0 327 2287 96.0 427 3413 108.0 540 4860 120.0 667 6667 132.0 807 8873 144.0 960 11520 156.0 1127 14647 86.4 288 1728 134 Wz cm3 36 48 60 72 84 96 108 120 132 144 156 98 114 131 147 163 180 196 212 85 107 128 149 171 192 213 235 256 277 121 135 216 243 270 297 324 351 167 200 233 267 300 333 367 400 433 288 Iz cm4 108 144 180 216 252 288 324 360 396 432 468 343 400 457 515 572 629 686 743 341 427 512 597 683 768 853 939 1024 1109 547 608 972 1094 1215 1337 1458 1580 833 1000 1167 1333 1500 1667 1833 2000 2167 1728 iy cm 1.73 2.31 2.89 3.46 4.04 4.62 5.20 5.77 6.35 6.93 7.51 3.46 4.04 4.62 5.20 5.77 6.35 6.93 7.51 2.31 2.89 3.46 4.04 4.62 5.20 5.77 6.35 6.92 7.51 2.60 2.89 4.62 5.20 5.77 6.35 6.93 7.51 2.89 3.46 4.04 4.62 5.20 5.77 6.35 6.93 7.51 3.46 iz cm 1.73 1.73 1.73 1.73 1.73 1.73 1.73 1.73 1.73 1.73 1.73 2.02 2.02 2.02 2.02 2.02 2.02 2.02 2.02 2.31 2.31 2.31 2.31 2.31 2.31 2.31 2.31 2.31 2.31 2.60 2.60 2.60 2.60 2.60 2.60 2.60 2.60 2.89 2.89 2.89 2.89 2.89 2.89 2.89 2.89 2.89 3.46 b/h cm / cm 12 / 14 12 / 16 12 / 18 12 / 20 12 / 22 12 / 24 12 / 26 14 / 14 14 / 16 14 / 18 14 / 20 14 / 22 14 / 24 14 / 26 14 / 28 16 / 16 16 / 18 16 / 20 16 / 22 16 / 24 16 / 26 16 / 28 16 / 30 18 / 18 18 / 20 18 / 22 18 / 24 18 / 26 18 / 28 18 / 30 20 / 20 20 / 22 20 / 24 20 / 26 20 / 28 20 / 30 22 / 22 22 / 24 22 / 26 22 / 28 22 / 30 24 / 24 24 / 26 24 / 28 24 / 30 26 / 26 26 / 28 26 / 30 28 / 28 28 / 30 30 / 30 A cm2 168 192 216 240 264 288 312 196 224 252 280 308 336 364 392 256 288 320 352 384 416 448 480 324 360 396 432 468 504 540 400 440 480 520 560 600 484 528 572 616 660 576 624 672 720 676 728 780 784 840 900 G N/m 100.8 115.2 129.6 144.0 158.4 172.8 187.2 117.6 134.4 151.2 168.0 184.8 201.6 218.4 235.2 153.6 172.8 192.0 211.2 230.4 249.6 268.8 288.0 194.4 216.0 237.6 259.2 280.8 302.4 324.0 240.0 264.0 288.0 312.0 336.0 360.0 290.4 316.8 343.2 369.6 396.0 345.6 374.4 403.2 432.0 405.6 436.8 468.0 470.4 504.0 540.0 Wy cm3 392 512 648 800 968 1152 1352 457 597 756 933 1129 1344 1577 1829 683 864 1067 1291 1536 1803 2091 2400 972 1200 1452 1728 2028 2352 2700 1333 1613 1920 2253 2613 3000 1775 2112 2479 2875 3300 2304 2704 3136 3600 2929 3397 3900 3659 4200 4500 Iy cm4 2744 4096 5832 8000 10648 13824 17576 3201 4779 6804 9333 12423 16128 20505 25611 5461 7776 10667 14197 18432 23435 29269 36000 8748 12000 15972 20736 26364 32928 40500 13333 17747 23040 29293 36587 45000 19521 25344 32223 40245 49500 27648 35152 43904 54000 38081 47563 58500 51221 63000 67500 Wz cm3 336 384 432 480 528 576 624 457 523 588 653 719 784 849 915 683 768 853 939 1024 1109 1195 1280 972 1080 1188 1296 1404 1512 1620 1333 1467 1600 1733 1867 2000 1775 1936 2097 2259 2420 2304 2496 2688 2880 2929 3155 3380 3659 3920 4500 Iz cm4 2016 2304 2592 2880 3168 3456 3744 3201 3659 4116 4573 5031 5488 5945 6403 5461 6144 6827 7509 8192 8875 9557 10240 8748 9720 10692 11664 12636 13608 14580 13333 14667 16000 17333 18667 20000 19521 21296 23071 24845 26620 27648 29952 32256 34560 38081 41011 43940 51221 54880 67500 iy cm 4.04 4.62 5.20 5.77 6.35 6.93 7.51 4.04 4.62 5.20 5.77 6.35 6.93 7.51 8.08 4.62 5.20 5.77 6.35 6.93 7.51 8.08 8.66 5.20 5.77 6.35 6.93 7.51 8.08 8.66 5.77 6.35 6.93 7.51 8.08 8.66 6.35 6.93 7.51 8.08 8.66 6.93 7.51 8.08 8.66 7.51 8.08 8.66 8.08 8.66 8.66 iz cm 3.46 3.46 3.46 3.46 3.46 3.46 3.46 4.04 4.04 4.04 4.04 4.04 4.04 4.04 4.04 4.62 4.62 4.62 4.62 4.62 4.62 4.62 4.62 5.20 5.20 5.20 5.20 5.20 5.20 5.20 5.77 5.77 5.77 5.77 5.77 5.77 6.35 6.35 6.35 6.35 6.35 6.93 6.93 6.93 6.93 7.51 7.51 7.51 8.08 8.08 8.66 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Formulae and tables Material constants Metal Steel Aluminium Modulus of elasticity E kN/cm2 21000 7000 Shear mod- Coefficient of linear ulus G thermal expansion αt kN/cm2 1/°C 8100 0.000012 2700 0.000023 Timber Modulus of elasticity PerpendicuParallel to lar to grain E⊥ grain EII kN/cm2 kN/cm2 (European) softwoods 1000 30 Oak and beech 1250 60 Glued laminated wood (from European soft1100 30 woods) Shear modulus G kN/cm2 50 100 50 Friction coefficients to EN 12812 Friction coefficient max. min. 1.0 0.4 Combinations of construction materials 1 Timber/timber Friction surface parallel to grain or perpendicular to grain or (Direction of grain) 3 4 5 6 7 8 Timber/steel Timber/concrete or timber/mortar bed Steel/steel Steel/concrete Steel/mortar bed Concrete/concrete 1.0 0.6 1.2 1.0 0.8 0.4 1.0 1.0 0.5 0.8 0.2 0.3 0.5 0.5 9736-226-01 2 Timber/timber At least one friction surface perpendicular to grain (end-grain) 999736002 - 03/2012 135 The Formwork Experts Formulae and tables Calculation Guide Doka formwork engineering Buckling diagram for rectangular shaped tubes Based on steel-grade S 235 200 z B A 180 C y y D 160 z 140 Permitted compressive force Nb,R perm. [kN] E F 120 G H I 100 J K L 80 M N O 60 P 40 9736-187 20 0 0 100 200 300 400 500 600 700 800 Effective length LCr [cm] in the buckling plane under consideration A Shaped tube 100x80x6mm / Nperm., y B Shaped tube 100x80x6mm / Nperm., z C Shaped tube 90x50x5mm / Nperm., y D Shaped tube 90x50x5mm / Nperm., z E Shaped tube 80x50x4mm / Nperm., y F Shaped tube 80x50x4mm / Nperm., z G Shaped tube 100x50x3mm / Nperm., y H Shaped tube 100x50x3mm / Nperm., z I Shaped tube 80x50x3mm / Nperm., y J Shaped tube 80x50x3mm / Nperm., z K Shaped tube 80x40x3mm / Nperm., y L Shaped tube 80x40x3mm / Nperm., z M Shaped tube 60x40x3mm / Nperm., y N Shaped tube 60x40x3mm / Nperm., z O Shaped tube 80x40x2mm / Nperm., y P Shaped tube 80x40x2mm / Nperm., z 136 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Formulae and tables Buckling diagram for quadratic shaped tubes Based on steel-grade S 235 200 B A 200 300 180 C 160 D Permitted compressive force Nb,R perm. [kN] 140 120 E F 100 G 80 H I J 60 K 40 9736-189 20 0 0 100 400 500 600 700 800 Effective length LCr [cm] in the buckling plane under consideration A Shaped tube 100x100x5mm / Nperm. B Shaped tube 80x80x6mm / Nperm. C Shaped tube 80x80x4mm / Nperm. D Shaped tube 60x60x5mm / Nperm. E Shaped tube 60x60x4mm / Nperm. F Shaped tube 50x50x5mm / Nperm. G Shaped tube 50x50x4mm / Nperm. H Shaped tube 50x50x3mm / Nperm. I Shaped tube 70x70x2mm / Nperm. J Shaped tube 60x60x2mm / Nperm. K Shaped tube 50x50x2mm / Nperm. 999736002 - 03/2012 137 The Formwork Experts Formulae and tables Calculation Guide Doka formwork engineering Buckling diagram for steel sections Based on steel-grade S 235 400 G H F C E B A D 350 Permitted compressive force Nb,R perm. [kN] 300 250 200 150 100 z y 50 y 9736-188 z 0 0 100 200 300 400 500 600 700 800 Effective length LCr [cm] in the buckling plane under consideration A HEB 160 / Nperm., y B HEB 140 / Nperm., y C HEB 120 / Nperm., y D HEB 100 / Nperm., y E HEB 160 / Nperm., z F HEB 140 / Nperm., z G HEB 120 / Nperm., z H HEB 100 / Nperm., z 138 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Formulae and tables Buckling diagram for U-sections Based on steel-grade S 235 200 D H G F E C B A 180 160 Permitted compressive force Nb,R perm. [kN] 140 120 100 80 60 z 40 y y 20 9736-190 z 0 0 100 200 300 400 500 600 700 800 Effective length LCr [cm] in the buckling plane under consideration A U 160 / Nperm., y B U 140 / Nperm., y C U 120 / Nperm., y D U 100 / Nperm., y E U 160 / Nperm., z F U 140 / Nperm., z G U 120 / Nperm., z H U 100 / Nperm., z 999736002 - 03/2012 139 The Formwork Experts Formulae and tables Calculation Guide Doka formwork engineering Buckling diagram for tubes Based on steel-grade S 235 200 A 180 160 Permitted compressive force Nb,R perm. [kN] 140 120 B 100 80 C 60 D E 40 F 9736-191 20 0 0 100 200 300 400 500 600 700 800 Effective length LCr [cm] in the buckling plane under consideration A Tube 108x5mm / Nperm. B Tube 60.3x4.5mm / Nperm. C Tube 48.3x3.2mm / Nperm. D Tube 48.3x2.9mm / Nperm. E Tube 42.4x2.6mm / Nperm. F Tube 33.7x2mm / Nperm. 140 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Formulae and tables Platform decking and edge protection Permitted support centres (in m) for scaffold planking units consisting of timber planks or boards Scaffold Category Width of board or plank [cm] 20 24 and 28 20 24 and 28 20, 24, 28 20, 24, 28 1, 2, 3 4 5 6 Thickness of board or plank 3.00 3.50 4.00 4.50 5.00 1.25 1.50 1.75 2.25 2.50 1.25 1.75 2.25 2.50 2.75 1.25 1.50 1.75 2.25 2.50 1.25 1.75 2.00 2.25 2.50 1.25 1.25 1.50 1.75 2.00 1.00 1.25 1.25 1.50 1.75 Extract from DIN 4420-3:2006-01 Widest permitted support centres of wooden platform boards and planks used as planking components in fall-barrier safety scaffolding Plank width cm 20 24 28 Drop height m 1.00 1.50 2.00 2.50 3.00 1.00 1.50 2.00 2.50 3.00 1.00 1.50 2.00 2.50 3.00 Widest permitted support centres m for double-placed planks or boards with a thickness of for single-placed planks or boards with a thickness of 3.5 cm 4.0 cm 4.5 cm 5.0 cm 3.5 cm 4.0 cm 4.5 cm 5.0 cm 1.5 1.8 2.1 2.6 1.1 1.2 1.4 1.3 1.6 1.9 2.2 1.0 1.1 1.3 1.2 1.5 1.7 2.0 1.0 1.2 1.2 1.4 1.6 1.8 1.0 1.1 1.1 1.3 1.5 1.7 1.2 1.7 2.1 2.5 2.7 1.0 1.2 1.4 1.6 1.5 1.8 2.2 2.5 1.1 1.2 1.4 1.4 1.6 2.0 2.2 1.0 1.2 1.3 1.3 1.5 1.9 2.1 1.0 1.1 1.2 1.2 1.4 1.8 1.9 1.0 1.2 1.9 1.9 2.7 2.7 1.1 1.3 1.5 1.7 1.7 2.0 2.5 2.7 1.0 1.2 1.4 1.6 1.5 1.8 2.2 2.5 1.0 1.1 1.3 1.4 1.4 1.7 2.0 2.3 1.0 1.2 1.4 1.3 1.6 2.0 2.1 1.0 1.1 1.3 Extract from DIN 4420-1:2004-03 999736002 - 03/2012 141 The Formwork Experts Formulae and tables Spans and cantilevering projections of edge-protection components to EN 13374 and EN 12811 The maximum span and cantilever of edge-protection components is stipulated in European Standards EN 13374 and EN 12811. EN 13374 deals with temporary edge-protection systems such as the: ● Edge protection system XP ● Handrail clamp S ● Handrail clamp T ● Handrail post 1.10m EN 12811 deals with temporary works equipment for structures, working platforms etc. such as the: ● Platform system Xsafe plus ● Bracket platform M ● Folding platform K The requirements made regarding edge protection (railing spars, intermediate spars, guard-rail boards, scaffolding tubes) are similar in both Standards. The tables show the maximum spans and cantilevering projections of the railing spars (valid for both Standards). ☞ Important note: A fundamental distinction is made between the span and the influence width. ● The span is the distance between the handrail-post uprights (posts), and is specified in the table. ● The permitted influence width of a handrailpost upright is stated in the structural-design section of the documentation and can only be determined by calculation. The distance between the handrail-post uprights is roughly the same as the influence width when ● they are evenly spaced and ● the guard-rail boards are either continuous or are jointed at the handrail posts. 142 Calculation Guide Doka formwork engineering Max. spans of edge-protection components Edge-protection component Guard-rail board 2.5/12.5 cm Guard-rail board 2.4/15 cm Guard-rail board 3/15 cm Guard-rail board 4/15 cm Guard-rail board 3/20 cm Guard-rail board 4/20 cm Railing plank 5/20 cm Scaffold tube 48.3mm ≤ 0.6 kN/m2 Dynamic pressure qp (ze) ≤ 1.1 ≤ 1.3 ≤ 1.7 kN/m2 kN/m2 kN/m2 1.8 m 1.8 m 1.8 m 1.8 m 1.9 m 2.7 m 3.6 m 2.9 m 3.9 m 4.9 m 5.0 m 1.9 m 2.7 m 3.6 m 2.9 m 3.9 m 4.9 m 5.0 m 1.9 m 2.7 m 3.6 m 2.8 m 3.7 m 4.7 m 5.0 m 1.9 m 2.5 m 3.3 m 2.5 m 3.3 m 4.1 m 5.0 m Max. cantilevers of edge-protection components Edge-protection component Guard-rail board 2.5/12.5 cm Guard-rail board 2.4/15 cm Guard-rail board 3/15 cm Guard-rail board 4/15 cm Guard-rail board 3/20 cm Guard-rail board 4/20 cm Railing plank 5/20 cm Scaffold tube 48.3mm b ≤ 0.6 kN/m2 0.3 m 0.5 m 0.8 m 1.4 m 1.0 m 1.6 m 1.9 m 1.3 m a e Dynamic pressure qp (ze) ≤ 1.1 ≤ 1.3 ≤ 1.7 kN/m2 kN/m2 kN/m2 a e b e TR820-200-01 a ... span b ... cantilever e... influence width ☞ Important note: Minimum timber quality: C24 to EN 338 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Formulae and tables Nailed joins Minimum spacing of nails, to DIN 1052: 2004-08 Minimum spacing of nails in sheet-steel/timber joins-3), -4), 6) a1 Minimum spacing of nails in timber/timber joins as per Table 103) Terms used in Fig. 14-2 a1 Beneath one another in direction of grain a2 Beneath one another ⊥ to the direction of grain a1,t From loaded end-grain a1,c From unloaded end-grain a2,t From loaded edge a2,c From unloaded edge Not pre-drilled ϱk ≤ 420 kg/m3) 2) d < 5 mm: (5+5·cos α)·d d ≥ 5 mm: (5+7·cos α)·d 1) 5·d d < 5 mm: (7+5·cos α)·d d ≥ 5 mm: (10+5·cos α)·d d < 5 mm: 7·d d ≥ 5 mm: 10·d d < 5 mm: (5+2·sin α)·d d ≥ 5 mm: (5+5·sin α)·d 5·d Minimum spacing of nails in plywood/timber joins3-5) a1 a2 a2,t a2,c a2 Beneath one another in grain-direction of face veneers 0.85 of the values given in the table for timber/timber Beneath one another ⊥ to the joins grain-direction of face veneers 5) From loaded edge of sheet 4·d From unloaded edge of sheet5) 3·d Beneath one another in Reduction down to 0.5 of the direction of grain, ≥ 5·d values given in the table for Beneath one another ⊥ to the non-pre-drilled nails in timber/timber joins, if an adjoindirection of grain ing area of 0.5·a1·a2 is maintained for each nail, with the a1, a2 values for non-predrilled nails in timber/timber joins The symbols listed below have the following meanings: α Angle between direction of force and direction of grain of timber d Nail diameter in mm, see footnote to Table 14-12 ϱk Characteristic value of gross density in kg/m3 as per Section 1.1 2) When determining the minimum spacing of nails on glued laminated wood, assume ϱk ≤ 420 kg/m3 Timber and wood-based materials and gypsum materials in accordance with Section 1.1, to DIN 1052: 2004-08, 7, or with General Building-Inspectorate Approval 3) For joins between derived timber products and timber, and between steel sheet and timber, the minimum spacing for timber/timber joins shall apply, unless otherwise stipulated in this part of the Table. 4) 5) Except where the nail-spacing in timber is applicable Spacing of nails from edge of metal sheet to be determined analogously in accordance with DIN 18 800-1 6) 7) On gypsum plasterboard, a2,t ≥ 10·d Minimum spacing of nails in other derived-timberproduct/timber joins-5) Beneath one another in, and Values given in table for timperpendicular to, direction of ber/timber joins a1, a2 sheet Gypsum plasterboard (only a1) 20·d From loaded edge of sheet 5) 7) a2,t OSB sheets, resin-bonded 7·d chipboard and fibreboard 5) From unloaded edge of sheet OSB sheets, resin-bonded 3·d a2,c chipboard and hardboard HB.HLA2 Gypsum plasterboard 7·d 999736002 - 03/2012 143 The Formwork Experts Formulae and tables Calculation Guide Doka formwork engineering Characteristic load ratings Rk of nails in softwood timber/timber joins for each shear plane and nail when loaded in shear to DIN 1052: 2004-08, 12.5.2, calculated in accordance with Tables 14-12 to 14-14 Solid softwood C24 (S 10) Glued laminated wood GL24c (BS 11) Other softwood strength grades Nominal diameter Minimum dxl penetration (length) depth 2-4) Steel tensile strength fu,k = 600 N/mm2 Gross density pk = 350 kg/m3 See footnotes 11-14 Not pre-drilled Min. timber Characteristhickness if tic load distances rating11), 12) from edges: a2,t(c)<10·d treq treq Rk or Rperm. in mm in mm in mm in N Smooth-shank nails with circular cross-section to DIN EN 102301: 2000-01) 2.0x30/x40/x45 18 28 320 2.2x30/x40/x50 20 31 375 2.4x30/x40/x50 22 34 430 2.7x40/x50/x60 24 38 525 3.0x50/x60/x70/x80 27 42 625 3.3x60/x70/x80/x90 31 48 765 3.8x70/x80/x90/x100 34 53 920 4.2x90/x100/x110 38 59 1090 144 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Formulae and tables Systems of measuring units SI base units Unit Physical quantity Name metre kilogram second ampere kelvin mole candela Length Mass Time Electric current strength Temperature1) Amount of substance Luminous intensity 1) Symbol m kg s A K mol cd In the iron and steel industry, the Celsius temperature scale continues to be used. Comparison of the principal SI units with the previous measurement units Quantity Previous names (approved until 31.12.1977, except for magnetic units) Unit symbol New unit in SI system Unit symbol Force kilopond kp newton N Mechanical tension (strength) kilopond per square millimetre kp/mm2 newton per square millimetre N/mm2 kilopond per square centimetre kp/cm2 atmosphere at pascal or Pa millimetres of water column mm WC millimetre of mercury Torr newton per square millimetre N/mm2 joule J 1J =1 kg · m 2 s2 joule J 1J =1 kg · m 2 s2 Compression Energy, work, quantity of heat calorie cal kilopond metre kpm Notch impact strength kilopond metre per square centimetre kpm/cm2 Relationship to base units of SI system 1N = 1 1 kg · m s2 N kg · m =1 2 mm 2 s · 10 -6m 2 1 Pa = 1 1 kg · m s2 · m2 N kg · m =1 2 mm 2 s · 10 -6m 2 Force SI unit: newton kp J/cm N kp 1 10.2 0.102 J/cm 9.81 · 10-2 1 0.01 N 9.81 100 1 The exact conversion factor is: 1 kp = 9.80665 N Mechanical tension (strength) SI unit: newton per square millimetre kp/mm2 kp/cm2 N/mm2 kp/mm2 1 0.01 0.102 kp/cm2 100 1 10.2 N/mm2 9.81 9.81 · 10-2 1 Prefixes and their symbols Name of prefix Prefixed symbol deca hecto kilo mega giga tera deci centi milli micro nano pico da h k M G T d c m μ n p Decimal power 101 102 103 106 109 1012 10-1 10-2 10-3 10-6 10-9 10-12 The prefix is placed immediately before the name of the unit, without a separator, and the prefixed symbol is prepended to the unit symbol without a separator. 999736002 - 03/2012 145 The Formwork Experts Formulae and tables Calculation Guide Doka formwork engineering Conversion tables Metric to Imperial (British and US) units Length 1 cm = 0.3937 1 cm = 0.0328 1m = 1.0936 Area 1 cm2 = 0.155 = 10.76386 1 m2 1 m2 = 1.195985 Volume = 0.061023 1 cm3 1 m3 = 35.3156 1 m3 = 1.3079 Moment of inertia 1 cm4 = 0.024 Flexural stiffness = 0.0348 1 kNm2 1 Ncm2 = 0.0348 1 kNm2 = 2.4197 Mass 1g = 0.03527 1 kg = 2.205 Force 1N = 0.2248 1 kN = 0.2248 Moment 1 Nm = 8.85 1 Nm = 0.74 1 kNm = 0.737562 Linear load 1 kN/m = 0.06852 Pressure & tension 1 N/mm2 = 145.14 1 kN/m2 = 20.88 1 N/mm2 = 0.145037 1 kN/m2 = 0.02088 Density = 0.00636 1 N/m3 1 kN/m3 = 6.36 1 kN/m3 = 0.00636 Speed 1 km/h = 0.911327 1 km/h = 54.681 1 km/h = 0.621388 in. ft. yd. inch foot yard sq.in. sq.ft. sq.yd. square inch square foot square yard cu.in. cu.ft. cu.yd. cubic inch cubic foot cubic yard in.4 kip-in.2 lbf-in.2 kip-ft.2 oz. lbs ounce pound-mass lbf kip pound weight kilo-pound in-lb ft-lb kip-ft inch-pound foot-pound kilo-pound-ft. kip/ft kilo-pound/ft. psi psf ksi ksf lb/sq.in. lb/sq.ft. kilo-lb/sq.in. kilo-lb/sq.ft. pcf pcf kcf pound/cu.ft. pound/cu.ft. kilo-pound/cu.ft. ft./sec. ft./min mile/h foot/sec. foot/min. mile/hour 146 Imperial (British and US) to metric units Lengths 1 in. inch 1 ft. foot 1 yd. yard Area 1 sq.in. square inch 1 sq.ft. square foot 1 sq.yd. square yard Volume 1 cu.in. cubic inch 1 cu.ft. cubic foot 1 cu.yd. cubic yard Moment of inertia 1 in.4 Flexural stiffness 1 kip-in.2 1 lfb-in.2 1 kip-ft.2 Mass 1 oz. ounce 1 lb pound-mass Force 1 lbf pound weight 1 kip kilo-pound Moment 1 in-lb inch-pound 1 ft-lb foot-pound 1 kip-ft kilo-pound-ft. Linear load 1 kip/ft kilo-pound/ft. Pressure & tension 1 psi lb/sq.in. 1 psf lb/sq.ft. 1 ksi kilo-lb/sq.in. 1 ksf kilo-lb/sq.ft. Density 1 pcf pound/cu.ft. 1 pcf pound/cu.ft. 1 kcf kilo-pound/cu.ft. Speed 1 ft./sec. foot/sec. 1 ft./min foot/min. 1 mile/h mile/hour = = = 2.54 30.48 0.9144 cm cm m = 12 inches = 3 feet = = = 6.4516 0.0929 0.8361 cm2 m2 m2 = 144 sq.in. = 9 sq.ft. = = = 16.387 0.02832 0.76456 cm3 m3 m3 = 1728 cu.in. = 27 cu.ft. = 41.66 cm4 = = = 28.735 28.735 0.41 kNcm2 Ncm2 kNm2 = = 28.3495 0.45359 g kg = = 4.44822 4.44822 N kN = = = 0.113 1.35 1.35582 Nm Nm kNm = 14.5942 kN/m = 0.00689 N/mm2 = 0.04788 kN/m2 = 6.894757 N/mm2 = 47.88 kN/m2 = 157.0866 N/m3 = 0.1570866 kN/m3 = 157.0866 kN/m3 = = = 1.0973 0.0183 1.6093 km/h km/h km/h 999736002 - 03/2012 The Formwork Experts Calculation Guide Doka formwork engineering Formulae and tables 999736002 - 03/2012 147 The Formwork Experts Correct formwork design saves materials and time In all formwork tasks, it is extremely important to ensure that the formwork is correctly designed. The Doka branch in your region has information and literature on all Doka formwork systems. Why not give us a call? The Doka Group's central plant at Amstetten, Austria Doka international Certified to Doka GmbH ISO 9001 Josef Umdasch Platz 1, A 3300 Amstetten, Austria Tel.: +43 (0)7472 605-0, Fax: +43 (0)7472 64430 E-Mail: [email protected] Internet: www.doka.com Algeria India Kuwait Saudi Arabia Tunisia USA SARL Doka Algérie 24 A Route de la Rassauta Bordj-El-Kifane, BP 170, 16120 Alger Telephone: +213 21 21 27 42 Telefax: +213 21 21 28 98 E-Mail: [email protected] Doka India Pvt. Ltd. Plot No. 26 A, Sector-7, Khargar Mahavir Landmark Bldg. 601 to 606, 6th Floor, 410210 Navi Mumbai Telephone: +91 22 2774 6452 Telefax: +91 22 2774 6451 E-Mail: [email protected] Doka Kuwait Div. of Riham Gen. Trad. & Cont. Co. Street No. 1, Plot 157-173, Shuwaikh Port Authority Area P.O. Box 2217 22023 Salmiyah Telephone: + 965 2 4822 462 Telefax: +965 2 4822 472 E-Mail: [email protected] Doka Formwork Technology Mahmoud Othman & Sons LLC Thalia Street, Al-Jol Building, 4th Floor, Flat 303/403/404 P.O. 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Box 61407 Jebel Ali Free Zone, Dubai Telephone: +971 4 870 8700 Telefax: +971 4 870 8702 E-Mail: [email protected] United Kingdom Doka UK Formwork Technologies Ltd Monchelsea Farm, Heath Road Boughton Monchelsea Maidstone, Kent, ME17 4JD Telephone: +44 1622 74 90 50 Telefax: +44 1622 74 90 33 E-Mail [email protected] Other subsidiaries and representatives: Angola Azerbaijan Bahrain Belgium Belarus Bosnia and Herzegovina Brazil Bulgaria Chile Croatia Czech Republic Denmark Egypt Estonia Finland France Germany Greece Hungary Iceland Iran Italy Jordan Kazakhstan Latvia Lithuania Luxembourg Marocco Mexico Netherlands New Zealand Oman Panama Poland The Formwork Experts Portugal Romania Russia Senegal Serbia Slovakia Slovenia Spain Switzerland Taiwan Thailand Ukraine Vietnam 999736002 - 03/2012