Technical Manual Ribbed belT dRives
Transcription
Technical Manual Ribbed belT dRives
oPTibelT in cl u a d n in d g bu P sh ul es ley s Technical Manual Ribbed belT dRives Technical Manual Ribbed Belt Drives This manual contains all relevant technical information as well as the method for calculating drives with optibelt RB ribbed belts and RBS ribbed belt pulleys for mechanical engineering. The OPTIBELT range for ribbed belt drives is based on the standards ISO 9982, RMA/MPTA IP-26 and DIN 7867. Our applications engineers would be pleased to give advice about using these drive systems and will work together with you to solve your drive problems. This service is of course free of charge. It is especially important for large-scale series to take advantage of this service which will find the best possible solution for your requirements using state-ofthe-art computer programs. © Arntz OPTIBELT Group, Germany 1 oPTibelT woRldwide europe canada usa Mexico africa brazil 2 © Arntz OPtIBELt GrOuP, GErmAny www.optibelt.com china india Thailand The Philippines vietnam singapore indonesia australia OPTIBELT GmbH www.optibelt.de OPTIBELT ÖSTERREICH GmbH www.optibelt.at OPTIBELT (UK) LTD. www.optibelt.co.uk OPTIBELT POLSKA SP. Z O.O. www.optibelt.pl OPTIBELT NEDERLAND B.V. www.optibelt.nl OOO “OPTIBELT POWER TRANSMISSION” www.optibelt.ru OPTIBELT FINLAND OY www.optibelt.fi OPTIBELT HUNGARY KFT. www.optibelt.hu OPTIBELT SKANDINAVISKA AB www.optibelt.se OPTIBELT CORPORATION www.optibelt.us SALES DENMARK www.optibelt.dk OPTIBELT (CANADA) INC. www.optibelt.ca SALES NORWAY www.optibelt.no OPTIBELT DO BRASIL LTDA. www.optibelt-br.com OPTIBELT FRANCE SAS www.optibelt.fr OPTIBELT ASIA PACIFIC PTE. LTD. www.optibelt.sg OPTIBELT AG www.optibelt.ch OPTIBELT POWER TRANSMISSION www.optibelt.cn OPTIBELT GmbH www.optibelt.be OPTIBELT POWER TRANSMISSION INDIA PVT. LTD. www.optibelt.in OPTIBELT ESPAÑA, S.A. www.optibelt.es OPTIBELT AUSTRALIA PTY. LTD. www.optibelt.com.au OPTIBELT AG www.optibelt.it OPTIBELT INDONESIEN www.optibelt.id OPTIBELT PHILIPPINEN www.optibelt.ph OPTIBELT MEXIKO www.optibelt.mx OPTIBELT VIETNAM www.optibelt.vn OPTIBELT THAILAND www.optibelt.th © Arntz OPtIBELt GrOuP, GErmAny 3 Ribbed belTs and Ribbed belT Pulleys 1. a 2. 3. 5. 4. b 7. d 6. c 8. ribbed Belts ribbed Belt Pulleys 1/7/8 optibelt Rb Ribbed Belts, Profile PJ Lengths: 280-2489 mm Other dimensions on request A optibelt Rbs ribbed Belt Pulleys for Cylindrical Bore B optibelt Rbs ribbed Belt Pulleys for taper Bushes B optibelt Rbs ribbed Belt Pulleys with taper Bushes B optibelt Rbs ribbed Belt Pulleys with taper Bushes 2/6 optibelt Rb Ribbed Belts, Profile PK Lengths: 559-2845 mm Other dimensions on request 3 optibelt Rb Ribbed Belts, Profile PH Lengths: 559-2155 mm Other dimensions on request 4 optibelt Rb Ribbed Belts, Profile PM Lengths: 2286-15 266 mm Other dimensions on request 5 optibelt Rb Ribbed Belts, Profile PL Lengths: 954-6096 mm Other dimensions on request optibelt Rb Elastic ribbed Belts Profiles: EPH, EPJ on request (not shown) 4 © Arntz OPtIBELt GrOuP, GErmAny Contents Introduction ............................................................................................ 1 Distribution Organisation of the Arntz OPTIBELT Group ................................ 2 Ribbed Belts and Ribbed Belt Pulleys ......................................................... 4 Product Description Standard Range optibelt RB Ribbed Belts.................................................... 7 Elastic optibelt ERB Ribbed Belts / Special Designs ..................................... 8 Characteristics – Application Areas Elastic optibelt ERB Ribbed Belts / Roller Conveyor .................................. 9 Special Designs ............................................................................... 10-11 Automotive Drives optibelt CAR POWER RBK ........................................... 12 Standard Range Ribbed Belts .................................................................................... 13-14 Drive Design Abbreviations Used in Formulae .............................................................. 15 OPTIBELT Power Rating PN – Arc of Contact Correction Factor c1 ................ 16 Belt Length Correction Factor c3 ......................................................... 17-18 Minimum Allowance x/y above and below Drive Centre Distance anom........ 19 Drive Service Factor c2 .......................................................................... 20 A Guide to Selecting Ribbed Belt Profiles ................................................ 21 Formulae and Calculation Example .................................................... 22-24 Drive Design – optibelt CAP.................................................................... 25 Power Ratings optibelt RB Ribbed Belts, Profile PH .......................................................... 26 optibelt RB Ribbed Belts, Profile PJ ........................................................... 27 optibelt RB Ribbed Belts, Profile PK .......................................................... 28 optibelt RB Ribbed Belts, Profile PL ........................................................... 29 optibelt RB Ribbed Belts, Profile PM ......................................................... 30 © Arntz OPTIBELT Group, Germany 5 Contents Special Drives V-Flat Drives .................................................................................... 31-32 Ribbed Belt Pulleys Measuring Pulleys – Length Measuring Conditions to DIN 7867 / ISO 9982..................................................................... 35 Tension/Guide Idlers ........................................................................ 33-34 Dimensions to DIN 7867 / ISO 9982...................................................... 36 Standard Range optibelt TB Taper Bushes ................................................. 37 Ribbed Belt Pulleys for Taper Bushes, Profile PJ...................................... 38-41 Ribbed Belt Pulleys for Taper Bushes, Profile PL...................................... 42-46 Ribbed Belt Pulleys for Cylindrical Bore, Profile PJ....................................... 47 Design Hints Ribbed Belt Tension........................................................................... 48-51 Frequency Tension Gauge optibelt TT MINI S ............................................ 52 Frequency Tension Gauge optibelt TT OPTICAL .......................................... 53 Determining the Static Shaft Loading / Shaft Loading under Dynamic Conditions .................................................................. 54 Length Tolerances – Installation and Maintenance ...................................... 55 Ribbed Belt Widths ............................................................................... 56 Problems – Causes – Remedies .......................................................... 57-58 Additional Range optibelt TT MINI S .............................................................................. 59 optibelt LASER POINTER II ................................................................... 59 OPTIBELT Pulley Groove Gauges .......................................................... 59 Data Sheet for Drive Calculation/Checking.......................................... 60-61 6 © Arntz OPTIBELT Group, Germany Product Description Standard Range optibelt RB Ribbed Belts Construction OPTIBELT ribbed belts consist of: Standard Profiles 1 2 PH 3 1 Belt top surface: wear resistant polychloroprene rubber compound 2 Tension cord: low-stretch polyester cord embedded in an adhesive rubber compound 3 Base compound: parallel V-shaped ribs of a wear resistant rubber compound ≈ 2.5 1.60 PJ Characteristics • Combines the high flexibility of the flat belt with the high power transmission capability of the traditional V-belts • Small pulley diameters • Large speed ratios possible • Good frictional power transmission and high power transmission capability • Insensitive to torque impulses and short-term overloading Applications Profile PH Domestic appliances, medical appliances, machine tools, small conveyors, conveyor belt, paper transport machines ≈ 3.3 2.34 PK ≈ 4.6 Profile PJ Small compressors, cement mixers, white goods, small tools 3.56 Profile PK Fans, air conditioning, concrete saws, wood saws, industrial washing machines Profile PL Compressors (> 30 kW), industrial washing machines Profile PM Paper industry, agricultural machines (silage cutter), sugar cane cutter PL ≈ 7.0 4.70 PM ≈ 13.0 9.40 © Arntz OPTIBELT Group, Germany 7 PRoducT descRiPTion elasTic optibelt eRb Ribbed belTs / sPecial designs construction The elastic ribbed belts of profiles EPH, EPJ and EPK consist of: special versions ePh top surface elastic tension cord ≈ 2.5 1.60 base compound the elastic ribbed belt is characterised by the highly individual options for designing and adapting it for different drive solutions particularly for fixed distances between centres. In addition, the running properties of the ribbed belt can be further optimised by additional refinement of the surface on the ribbed side. advantages and characteristics • Assembly is possible on fixed centres with no need for adjustment for belt tensioning • Good damping performance and shock load resistance due to high elasticity of belt • Maintenance-free and no retensioning required • Easy assembly in service areas • Allows individual design of tension and elongation characteristics dimensions Belt lengths depend on the profile, from 250 mm to 2500 mm. • Ribbed belt – electrically conductive on request • Ribbed belt – high voltage resistant on request • PAK optimised – on request Ribbed belt Pulleys Extensive standard range (see range list); special pulleys on request. Please contact our Applications Engineering Department for individual drive solutions. 8 © Arntz OPtIBELt GrOuP, GErmAny ePJ ≈ 3.3 2.34 ePK ≈ 4.6 3.56 PRoducT descRiPTion chaRacTeRisTics – aPPlicaTion aReas elasTic optibelt eRb Ribbed belTs / RolleR conveyoR Retensioning not necessary – extended service intervals – optimal damping of drive vibrations recently, some roller conveyor belt systems have been equipped with elastic ribbed belts of the model optibelt ErB. those belts keep the single rolls moving and do not need any retensioning in continuous industrial operation. thus, they are virtually maintenance-free. For this reason, elastic ribbed belts are now also deployed in transport technology. OPtIBELt ribbed belts offer many advantages for end users, too, such as manufacturing companies that use roller conveyor belts as a means of conveyance to the warehouse. thanks to the belt, the vibrations of the drive are better absorbed, resulting in a smoothly running, extremely lowvibration roller drive. this leads to a minimised wear of the components and extends the operational life of the individual roller bearings. On the other hand, less vibration means less noise and thus improved working conditions. the advantages are more than obvious as elastic ribbed belts do not have to be run in in the first place and do not therefore need to be retensioned. optibelt ErB belts gain the required tension due to a higher basic tension and the systematic settling characteristics of the belts. retensioning can be dispensed with as a result. Given these obvious advantages for users and manufacturers, there is only one definite goal concerning the optimisation of many roller conveyor belt drives: the changeover from round profile belts and timing belts to elastic ribbed belts made by OPtIBELt. © Arntz OPtIBELt GrOuP, GErmAny 9 PRoducT descRiPTion sPecial designs 10 © Arntz OPtIBELt GrOuP, GErmAny PRoducT descRiPTion sPecial designs oPTibelT Ribbed belTs wiTh aRaMid Tensile ReinfoRceMenT oPTibelT Ribbed belTs wiTh sPecial coaTings Ribbed belts with aramid Tensile Reinforcement the extremely low-stretch aramid tension cords stand out in comparison with conventional tensile reinforcement such as polyester. they have almost twice the breaking strength of fibres of the same thickness. Despite their high strength, the fibre is flexible and has sufficient elasticity to cushion shocks and vibrations. OPtIBELt ribbed belts with aramid tensile reinforcement are for use where • maximum power transmission is called for, • overall widths are restricted, • minimum adjustment range is available for installation and tensioning and • high temperature impacts are present ribbed belts with aramid tensile reinforcement are ideal for use in drives with heavy wear in mechanical engineering, special-purpose engineering, agricultural engineering and in garden tools. It is not possible to go into the entire range of criteria in this manual. Please get in touch with our applications engineers for in-depth advice. Profiles PK/PL with 8M or 14M surface oPTibelT Ribbed belts with special coatings Due to the huge variety of coatings and finishing possibilities plus the properties of the ribbed belt, OPtIBELt has developed innovative solutions in the field of conveying technology. OPtIBELt ribbed belts can be provided with an additional top surface coating. the coating is applied in a special adhesive procedure. ribbed belts with a patterned top surface can be used in place of expensive conveyor belts. they run singly or with several belts adjacent to each other and transport the goods to be conveyed horizontally and at up and down gradients. Vertical conveyance is possible if the ribbed belts are arranged back to back and the media conveyed is pressed together between the two belts. applications Examples of the some of the many successful uses for OPtIBELt ribbed belts with coatings include: • Conveying doors, parts of cabinets, veneer and plastic panels for wood-working • Conveying car body parts and sharp-edged sheet metal panels in the automotive industry • Conveying cartons and boxes in the packaging industry Pulleys Timing belt pulleys HTD® or rPP® and ribbed belt pulleys profile PK and PL applications The optibelt OMEGA timing belt with additional ribbed PK belt profile on the back cover of the belt is perfect for use in mills, e.g. food, corn, fruit and flour mills, where the back pulley has a reversible direction and slipping is necessary when the drive blocks. advantage The rubber compound filled with aramid fibres is very wear resistant. The back cover of the PK profile is moulded in one operation with the timing belt. © Arntz OPtIBELt GrOuP, GErmAny 11 PRoducT descRiPTion auToMoTive dRives optibelt caR PoweR RbK new engine designs demand more and more space saving. It is not unusual to encounter small pulley diameters and limited drive widths. Being extremely elastic and dimensionally stable, OPtIBELt ribbed belts can adapt to the respective drive geometry. They are flexible enough to find their path as a serpentine drive through the motor labyrinth. The flexible ribbed belt is extremely quiet and supple in its job of controlling the power train. OPtIBELt ribbed belts drive ancillary units in cars, commercial vehicles and buses. they reduce vibration and give the generator, air-conditioning compressor, and the power steering pump the right spin. characteristics • Large speed ratios • High power transmission • minimum slip • Largely oil and temperature resistant • Vibration free and quiet • Extraordinarily resilient Profiles PJ, PK, DPK dimensions 2 PK from 786 to 905 mm 3 PK from 550 to 1285 mm 4 PK from 560 to 1520 mm 5 PK from 625 to 2055 mm 6 PK from 675 to 2680 mm 7 PK from 870 to 2355 mm 8 PK from 800 to 2605 mm 9 PK from 1200 to 4145 mm 10 PK from 1108 to 2063 mm 11 PK from 1515 to 2055 mm 12 PK from 1165 to 2500 mm 3 EPK from 806 to 885 mm 4 EPK from 711 to 1102 mm 5 EPK from 690 to 926 mm 6 EPK from 691 to 1873 mm 6 DPK from 1188 to 1853 mm 7 DPK from 1360 to 1400 mm Additional sizes on request. applications use in automotive engineering to drive the power train 12 © Arntz OPtIBELt GrOuP, GErmAny 1 2 3 4 1 Belt top surface: wear resistant polychloroprene rubber compound 2 tension cord: low-stretch polyester cord 3 Cushioning: high-adhesion polychloroprene rubber compound (cushion layer) 4 Base compound: polychloroprene rubber compound sTandaRd Range Ribbed belTs Profile Position of the tension cord Ph rib pitch (effective line) s [mm] PK Pl 1.60 2.34 3.56 4.70 PM 9.40 2.50 3.30 4.60 7.00 13.00 Belt thickness ≈ h [mm] Belt speed ≈ v [m/s] 60 60 50 40 30 db min [mm] 13 20 45 75 180 minimum pulley diameter Effective line difference dw = db + 2 hb PJ Profile PH hb 0.80 1.25 1.60 3.50 5.00 Profile PJ effective length lb effective length lb effective length lb effective length lb effective length lb [mm] [inch] [mm] [inch] [mm] [inch] [mm] [inch] [mm] [inch] 698 735 762 813 858 27.50 28.90 30.00 32.00 33.80 1397 1439 1475 1600 1854 55.00 56.70 58.10 63.00 73.00 280 330 356 362 381 11.00 13.00 14.00 14.30 15.00 1130 1150 1168 1194 1200 44.50 45.30 46.00 47.00 47.30 1915 1930 1956 1965 1981 75.40 76.00 77.00 77.40 78.00 864 886 955 965 975 34.00 34.90 37.60 38.00 38.40 1895 1915 1930 1956 1992 74.60 75.40 76.00 77.00 78.40 406 414 432 457 483 16.00 16.30 17.00 18.00 19.00 1222 1244 1262 1270 1285 48.10 49.00 49.70 50.00 50.60 1992 2083 2155 2210 2337 78.40 82.00 84.80 87.00 92.00 990 1016 1080 1092 1096 39.00 40.00 42.50 43.00 43.10 2083 2155 82.00 84.80 508 559 584 610 660 20.00 22.00 23.00 24.00 26.00 1301 1309 1316 1321 1333 51.20 51.50 51.80 52.00 52.50 2489 98.00 1168 1194 1200 1222 1230 46.00 47.00 47.20 48.10 48.40 711 723 737 762 813 28.00 28.50 29.00 30.00 32.00 1355 1371 1397 1428 1439 53.40 54.00 55.00 56.20 56.70 1262 1270 1285 1290 1301 49.70 50.00 50.60 50.80 51.20 836 864 914 955 965 32.90 34.00 36.00 37.60 38.00 1475 1549 1600 1651 1663 58.10 61.00 63.00 65.00 65.50 1309 1316 1321 1333 1371 51.50 51.80 52.00 52.50 54.00 1016 1092 1105 1110 1123 40.00 43.00 43.50 43.70 44.20 1752 1780 1854 1895 1910 69.00 70.00 73.00 74.60 75.20 note: Individually designed ribbed belts may deviate from the standard composition. Please contact our Applications Engineering Department! non standard lengths on request. maximum number of ribs: Please contact our Applications Engineering Department. Profile PH is a non stock item. ordering example: For a five-rib ribbed belt with profile PJ with an effective length 660 Lb: optibelt RB 5 PJ 660 Lb © Arntz OPtIBELt GrOuP, GErmAny 13 Standard Range Ribbed Belts Profile PK Profile PL Profile PM Effective length Lb Effective length Lb Effective length Lb Effective length Lb Effective length Lb [mm] [mm] [mm] [mm] [inch] [mm] [inch] 954 991 1075 1194 1270 37.50 39.00 42.30 47.00 50.00 2286 2388 2515 2693 2832 90.00 94.00 99.00 106.00 111.50 [inch] [inch] [inch] 630• 648 698 730 775 24.80 25.50 27.50 28.70 30.50 1290• 1321• 1330 1345 1371• 50.80 52.00 52.40 53.00 54.00 800 812 830 865 875 31.50 32.00 32.70 34.00 34.50 1397• 1439• 1460 1520 1560 55.00 56.70 57.50 59.80 61.40 1333 1371 1397 1422 1562 52.50 54.00 55.00 56.00 61.50 2921 3010 3124 3327 3531 115.00 118.50 123.00 131.00 139.00 890 913 920 940 954 35.00 36.00 36.20 37.00 37.60 1570 1600• 1655 1690 1755 61.80 63.00 65.20 66.50 69.10 1613 1664 1715 1764 1803 63.50 65.50 67.50 69.50 71.00 3734 4089 4191 4470 4648 147.00 161.00 165.00 176.00 183.00 962 990 1015 1080 1090 37.80 39.00 40.00 42.50 43.00 1854• 1885 1930• 1956• 1980 73.00 74.20 76.00 77.00 78.00 1841 1943 1981 2020 2070 72.50 76.50 78.00 79.50 81.50 5029 5410 6121 6883• 7646• 198.00 213.00 241.00 271.00 301.00 1125 1150 1165 1190 1200• 44.30 45.30 45.90 46.80 47.20 2030 2050 2080 2120 2145 79.90 80.70 82.00 83.50 84.40 2096 2134 2197 2235 2324 82.50 84.00 86.50 88.00 91.50 8408• 9169• 9931• 10693• 12217• 331.00 361.00 391.00 421.00 481.00 1222• 1230• 1245 1270• 1285• 48.10 48.40 49.00 50.00 50.60 2170 2235• 2255 2362• 2460 85.40 88.00 88.80 93.00 96.90 2362 2476 2515 2705 2743 93.00 97.50 99.00 106.50 108.00 13741• 15266• 541.00 601.00 2845 2895 2921 2997 3086 112.00 114.00 115.00 118.00 121.50 3124 3289 3327 3492 3696 123.00 129.50 131.00 137.50 145.50 4051 4191 4470 4622 5029 159.50 165.00 176.00 182.00 198.00 5385 6096 212.00 240.00 2515• 2845• 99.00 112.00 Note: Individually designed ribbed belts may deviate from the standard composition. Please contact our Applications Engineering Department! Non standard lengths on request. Maximum number of ribs: Please contact our Applications Engineering Department. • non stock items 14 © Arntz OPTIBELT Group, Germany dRive design abbReviaTions used in foRMulae a = Drive centre distance anom = Drive centre distance, calculated with a standard belt length c1 = Arc of contact correction factor c2 = Drive service factor c3 = Belt length correction factor [mm] [mm] ng = Speed of large pulley [rpm] nk = Speed of small pulley [rpm] n1 = Speed of driver pulley [rpm] n2 = Speed of driven pulley [rpm] P [kW] = Motor or normal running power PB = Design power [kW] Pn = Power rating per rib [kW] s [mm] dbg = Effective diameter of large pulley [mm] dbk = Effective diameter of small pulley [mm] db1 = Effective diameter of driver pulley [mm] db2 = Effective diameter of driven pulley [mm] E = Belt deflection per 100 mm span length [mm] Ea = Belt deflection for a given span length [mm] f = Load used to set belt tension per rib h = Belt thickness [mm] hb = Effective line difference [mm] i = Speed ratio k = Constant for calculation of centrifugal force z = Span length [mm] α = Angle of belt run = 90° – °[degrees] LbSt = Standard belt effective length [mm] β °[degrees] Lbth = Calculated belt effective length [mm] L [n] = Drive span length Sa = minimum static shaft loading [n] t = minimum static belt tension per rib v = Belt speed [m/s] x = minimum adjustment required above drive centre distance anom to compensate for tensioning and retensioning [mm] = minimum adjustment required below drive centre distance anom to allow for belt installation [mm] y [n] = Number of ribs β 2 = Arc of contact on small pulley © Arntz OPtIBELt GrOuP, GErmAny 15 Drive Design OPTIBELT Power Rating PN – Arc of Contact Correction Factor c1 OPTIBELT power ratings P N shown in tables 5 to 9 are based on internationally recognised formulae. These formulae contain material constants which must be used in accordance with the practices of the individual manufacturers. The PN power rating formula is based on a specific tension ratio between the tight and slack sides of the belt. The PN power rating tables refer to the smallest loaded pulley in the drive. The belt power ratings PN from the tables are given for: • the effective diameter of small pulley dbk • the speed of small pulley nk • speed ratio i • the arc of contact of the belt on small pulley β = 180° • the ideal belt length for the particular belt profile. From the given drive data, the power rating per rib can be found which must then be modified by application of the arc of contact correction factor c1 and belt length correction factor c3. Intermediate values can be found by linear interpolation. The arc of contact correction factor c1 corrects the power rating PN when the arc of contact of the belt is smaller than 180°, since the PN value of the arc of contact β = 180° was determined on the small pulley dbk. Table 1 dbg – dbk anom β≈ c1 0 0.05 0.10 0.15 0.20 180° 177° 174° 171° 168° 1.00 1.00 1.00 0.99 0.99 0.25 0.30 0.35 0.40 0.45 165° 162° 160° 156° 153° 0.99 0.99 0.99 0.98 0.98 0.50 0.55 0.60 0.65 0.70 150° 147° 144° 141° 139° 0.98 0.97 0.97 0.97 0.96 0.75 0.80 0.85 0.90 0.95 136° 133° 130° 126° 123° 0.96 0.95 0.95 0.94 0.94 1.00 1.05 1.10 1.15 1.20 119° 115° 112° 109° 106° 0.93 0.92 0.92 0.91 0.90 1.25 103° 1.30 100° 1.35 96° 1.40 92° 1.45 88° 0.89 0.89 0.87 0.86 0.85 1.50 84° 1.55 80° 1.60 77° 0.83 0.82 0.80 Intermediate lengths can be calculated by linear interpolation! 16 © Arntz OPTIBELT Group, Germany Drive Design Belt Length Correction Factor c3 The belt length correction factor c3 takes into account the flex rate in the particular belt profile in relationship to a standard effective length. This results in the following relationships: ribbed belt length used > standard effective length c3 > 1.0 ribbed belt length used = standard effective length c3 = 1.0 ribbed belt length used < standard effective length c3 < 1.0 [( ) ] 0.09 Lb c3 = 1 + Lbo – 1 · 2.4 Lb = ribbed belt length used Lbo = standard effective length Table 2 Profile PH Effective length Lb [mm] c3 Profile PJ Effective length Lb [mm] c3 1956 1992 2083 2155 1.19 1.20 1.21 1.22 Effective length Lb [mm] c3 Effective length Lb [mm] c3 280 330 356 362 381 0.74 0.76 0.78 0.78 0.79 1309 1316 1321 1333 1355 1.05 1.05 1.05 1.05 1.06 559 698 735 762 813 0.96 0.96 0.97 0.98 1.00 858 864 886 914 955 1.01 1.01 1.01 1.02 1.03 406 414 432 457 483 0.80 0.81 0.82 0.83 0.84 1371 1397 1428 1439 1475 1.06 1.06 1.07 1.07 1.08 965 975 990 1016 1080 1.03 1.03 1.03 1.04 1.06 508 559 584 610 660 0.85 0.87 0.88 0.89 0.90 1549 1600 1651 1663 1752 1.09 1.10 1.10 1.10 1.12 1092 1096 1168 1194 1200 1.06 1.06 1.07 1.08 1.08 711 723 762 813 836 0.92 0.92 0.93 0.95 0.95 1780 1854 1895 1910 1915 1.12 1.13 1.13 1.14 1.14 1222 1230 1262 1270 1285 1.08 1.09 1.09 1.09 1.10 864 914 955 965 1016 0.96 0.97 0.98 0.98 1.00 1930 1956 1965 1981 1992 1.14 1.14 1.14 1.14 1.14 1290 1301 1309 1316 1321 1.10 1.10 1.10 1.10 1.10 1092 1105 1110 1123 1130 1.01 1.01 1.01 1.02 1.02 2083 2155 2210 2337 2489 1.16 1.17 1.17 1.18 1.20 1333 1371 1397 1439 1475 1.10 1.11 1.11 1.12 1.13 1150 1168 1194 1200 1222 1.02 1.03 1.03 1.03 1.04 1600 1854 1895 1915 1930 1.15 1.18 1.18 1.19 1.19 1244 1262 1270 1285 1301 1.04 1.04 1.04 1.05 1.05 Additional sizes on request. © Arntz OPTIBELT Group, Germany 17 Drive Design Belt Length Correction Factor c3 Table 2 Profile PK Effective length Lb [mm] Profile PL c3 Effective length Lb [mm] c3 559 630 648 698 730 0.78 0.81 0.81 0.82 0.84 1956 1980 2030 2050 2080 1.04 1.05 1.05 1.05 1.06 775 800 812 830 865 0.85 0.85 0.86 0.86 0.87 2120 2145 2170 2235 2362 875 890 913 920 940 0.87 0.88 0.88 0.88 0.89 2460 2515 2743 2845 954 962 990 1015 1080 Effective length Lb [mm] Profile PM c3 Effective length Lb [mm] c3 Effective length Lb [mm] 954 991 1075 1194 1270 0.83 0.84 0.86 0.88 0.89 4051 4191 4470 4622 5029 1.14 1.15 1.16 1.17 1.19 2286 2388 2515 2693 2832 0.87 0.88 0.89 0.91 0.92 1.06 1.06 1.07 1.09 1.09 1333 1371 1397 1422 1562 0.90 0.91 0.91 0.91 0.93 5385 6096 1.21 1.24 2921 3010 3124 3327 3531 0.92 0.93 0.94 0.95 0.96 1.09 1.10 1.12 1.13 1613 1664 1715 1764 1803 0.94 0.95 0.95 0.96 0.96 3734 4089 4191 4470 4648 0.98 1.00 1.00 1.01 1.02 0.89 0.89 0.90 0.90 0.92 1841 1943 1981 2020 2070 0.97 0.98 0.98 0.99 0.99 5029 5410 6121 6883 7646 1.04 1.06 1.08 1.11 1.13 1090 1100 1125 1150 1165 0.91 0.92 0.93 0.93 0.93 2096 2134 2197 2235 2324 1.00 1.00 1.01 1.01 1.02 8408 9169 9931 10693 12217 1.16 1.18 1.19 1.21 1.24 1190 1200 1222 1230 1245 0.94 0.94 0.94 0.94 0.95 2362 2476 2515 2705 2743 1.02 1.03 1.03 1.05 1.05 13741 15266 1.27 1.30 1270 1285 1290 1321 1330 0.95 0.95 0.95 0.96 0.96 2845 2895 2921 2997 3086 1.06 1.07 1.07 1.07 1.08 1345 1371 1397 1439 1460 0.96 0.97 0.97 0.98 0.98 3124 3289 3327 3492 3696 1.08 1.09 1.10 1.11 1.12 1520 1560 1570 1600 1655 0.99 0.99 1.00 1.00 1.01 1690 1755 1854 1885 1930 1.01 1.02 1.03 1.04 1.04 c3 Additional sizes on request. 18 © Arntz OPTIBELT Group, Germany dRive design MiniMuM allowance x/y above and below dRive cenTRe disTance anom Table 3 effective length lb [mm] Minimum allowance Minimum allowance y [mm] – for ease of fitting x [mm] – for tensioning Profile PH Profile PJ Profile PK Profile PL Profile PM and retensioning 500 10 10 10 — — — 500 ≤ 1000 15 15 15 20 25 — > 1000 ≤ 1500 20 15 15 20 25 — > 1500 ≤ 2000 25 15 15 20 25 — > 2000 ≤ 2500 30 20 20 20 25 40 > 2500 ≤ 3000 35 20 20 25 30 40 > 3000 ≤ 4000 45 — — 25 30 45 > 4000 ≤ 5000 55 — — 30 35 45 > 5000 ≤ 6000 65 — — 30 35 50 > 6000 ≤ 7500 85 — — — — 55 ≤ > Minimum allowance © Arntz OPtIBELt GrOuP, GErmAny 19 Drive Design Drive Service Factor c2 The drive service factor c2 takes into account the length of time the drive is operational in a 24 hour period and the type of driver and driven units. It applies exclusively to two pulley drives. It does not take into account other working conditions, such as drives with tension, guide and idler pulleys. Pages 33 to 34 give the design bases for drives with more than two pulleys. Extreme operating conditions such as aggressive dust, particularly high temperatures or the influence of various media are not considered. Since it is practically impossible to condense every possible combination of drive unit/driven machine/operating conditions into a standard-compliant form the drive service factors are guide values. In special cases e.g. high starting load (direct starting of fans), drives with high starting frequency, unusual shock loading, or the regular acceleration/deceleration of mass, the load factor should be increased. Typical value: Where the starting load is more than 1.8 times the standard running load, the value should be divided by 1.5 to obtain the minimum drive service factor c2 ; example: starting load factor MA = 3.0; c2 selected as 2.0. Where the application is especially problematical please consult our applications engineers. Table 4 Types of Prime Mover AC and three-phase motors with normal starting load (up to 1.8 times normal running load), e.g. synchronous and single-phase motors with auxiliary phase, three-phase motors with direct on-line start, star delta or commutator starter, DC shunt wound motors, internal combustion engines and turbines n > 600 rpm AC and three-phase motors with high starting load (more than 1.8 times normal running load), e.g. single-phase motors with high starting torque, DC motors series and compound wound, internal combustion engines and turbines n ≤ 600 rpm Hours per day duty Types of Driven Machine 10 and over 10 over 16 under to 16 10 and over 10 over 16 under to 16 Consistent duty, only low masses to be accelerated Agitators for liquids with uniform consistency, generators up to 0.05 kW, small conveyor belts for lightweight material, fans up to 0.05 kW, rotary pumps up to 0.05 kW 1.1 1.1 1.2 1.1 1.2 1.3 Consistent light duty operation, low masses to be accelerated Conveyor belts for lightweight material, fans from 0.06 to 0.1 kW, rotary pumps from 0.06 to 0.1 kW 1.1 1.2 1.3 1.2 1.3 1.4 Inconsistent duty operation, mediumsized masses to be accelerated Vibrating screens, pit fans, agitators for liquids with fluctuating consistency, compressors, screw presses, woodworking machinery, conveyor belts for heavy material, elevators, conveyor belts, fans above 0.8 kW, drills, milling machines, grinding machines, light lathes, bakery machinery, circular spinning frames, rotary pumps above 0.11 kW, laundry machinery 1.2 1.3 1.4 1.3 1.4 1.5 Inconsistent medium duty, medium-sized shocks and masses to be accelerated Kneaders, mills, mixers, pumps, drying drums, general milling equipment, centrifuges, agitators for plastic materials with fluctuating consistency, bucket conveyors, centrifugal fans, parallel planing machines, weaving looms 1.3 1.4 1.5 1.4 1.5 1.6 Inconsistent duty operation, high shocks and masses to be accelerated Paper making machinery, plate conveyors, slag mills, calenders, drilling rigs, heavy duty lathes, punches, shears, draw benches, piston pumps up to 2 cylinders 1.4 1.5 1.6 1.5 1.7 1.8 1.6 1.7 1.8 1.6 1.8 2.0 Dredgers, heavy duty grinders, rolling mills, Inconsistent duty operation, extra high mixers, sawmills, calenders masses to be accelerated, extra high shocks 20 © Arntz OPTIBELT Group, Germany dRive design a guide To selecTing Ribbed belT PRofiles By using the following diagram and considering economy and size it is possible to determine the best ribbed belt profile. Optimum utilisation of power and efficiency is achieved by the selection of the largest possible pulley diameter in relation to the profile used. The limits to the permissible circumferential speeds for ribbed belts must be observed: Profile Profile Profile Profile Profile PH PJ PK PL PM vmax vmax vmax vmax vmax = = = = = 60 60 50 40 35 m/s m/s m/s m/s m/s Experience has shown that minimum pulley diameters should be avoided. these drives require a larger number of ribs and consequently broad pulleys. As a result, they are cost-intensive. the ribbed belt width should not be larger than the effective diameter of the small pulley. In such borderline cases the use of the next smaller belt profile on similar pulley diameters will often save both cost and space. A check is also advisable if the point of interprofile in the selection diagram used lies in the boundary areas between two profiles. Please contact our Applications Engineering Department in the case of higher circumferential speeds. Small pulley speed nk [rpm] Diagram 1 Design power PB = P · c2 [kW] © Arntz OPtIBELt GrOuP, GErmAny 21 dRive design foRMulae and calculaTion exaMPle Prime Mover drive conditions driven Machine Operational hours per day: 8 hours Number of starts: 20 per day normal ambient temperature, no exposure to oil and water Electric motor P = 13 kW n1 = 2440 rpm Start up: direct Starting torque: mA = 2.7 Mn Drive centre distance: between 350 and 400 mm acceptable Effective diameter of driver pulley: db1 ≤ 140 mm formulae Grinding spindle P = 13 kW n2 = 3100 ± 100 rpm Start up: from idling calculation example drive service factor c2 from table 4, page 20 c2 = 1.6 design power PB = 13 · 1.6 = 20.80 kW PB = P · c2 Belt profile selection from diagram 1, page 21 speed ratio db2 + 2 hb n d i = 1 = w2 = n2 dw1 db1 + 2 hb Profile PL i= 2440 = 0.769 3173 hb see page 32 effective diameters of ribbed belt pulleys db1 see page 45 db2 = db1 · i + 2 hb (i – 1) when db2 is known: d 1 –1 db1 = b2 + 2 hb i i ( ) 22 © Arntz OPtIBELt GrOuP, GErmAny db1 = 123 mm selected db2 = 123 mm · 0.769 + 2 · 3.5 (0.769 – 1) = 92.97 mm db2 = 93 mm – see page 44 Drive Design Formulae and Calculation Example Formulae Calculation Example Recalculation of speed of driven machine dw2 d + 2 hb iactual= = b2 dw1 db1 + 2 hb n1 n2 actual= iactual 93 + 2 · 3.5 = 0.769 iactual= Required: 123 + 2 · 3.5 3100 ± 100 rpm 2440 = = 3173 rpm (Calculated speed meets n2 actual 0.769 requirement) Drive centre distance (suggested) Recommendation:a > 0.7 (dbg + dbk) (dbg + dbk) a < 2 a = 380 mm suggested Effective length of ribbed belt Lbth ≈ 2 a + 1.57 (dbg + dbk) + (dbg – dbk)2 4a Lbth ≈ 2 · 380 + 1.57 · (123 + 93) + (123 – 93)2 ≈ 1099.7 mm 4 · 380 Nearest standard length from page 14 selected Actual: Lbth π β α·π = 2 a · sin + (dbg + dbk) + (dbg – dbk) 2 2 180° LbSt = 1075 mm Drive centre distance Calculated from LbSt and Lbth LbSt – Lbth 2 Lbth – LbSt < Lbth) anom ≈ a – 2 (when LbSt > Lbth) anom ≈ a + (when LbSt 1099.7 – 1075 anom ≈ 380 – ≈ 367.65 mm 2 Actual: anom π LbSt – (dbg + dbk) 2 = + 4 [ ] π LbSt – (dbg + dbk) 2 (dbg – dbk)2 2 – 8 4 Minimum allowance x/y above and below drive centre distance anom x/y from table 3, page 19 x ≥ 20 mm / y ≥ 25 mm Speed dwk · nk (dbk + 2 · hb) · nk v= = 19100 19100 (93 + 2 · 3.5) · 3173 v= = 16.61 m/s 19100 © Arntz OPTIBELT Group, Germany 23 Drive Design Formulae and Calculation Example Formulae Calculation Example Arc of contact correction factor and arc of contact dbg – dbk anom 123 – 93 = 0.082 368 β ≈ 175° linearly interpolated c1= 1.0 } Approximate β° and c1 from table 1, page 16 dbg – dbk β Actual: cos = 2 2 anom Belt length correction factor c3 = 0.86 c3 from table 2, page 17 Power rating per rib { dbk= 93 mm Profile PL nk = 3173 rpm PN for from table 8, page 29 1 i∗= = 1.3 0.769 The condition i ≥ 1 applies for selecting the speed ratio power increment. PN = 2.28 + 0.2 = 2.48 kW Number of ribs z= 13 · 1.6 z = = 9.74 2.48 · 1.0 · 0.86 P · c2 PN · c1 · c3 Design: 1 optibelt RB ribbed belt 10 PL 1075 Minimum static belt tension per rib 500 · (2.03 – c1) · PB T ≈ + k · v2 c1 · z · v k from table Profile k PH PJ PK PL PM f [N] (per Rib) 0.005 3.0 0.009 5.0 0.020 7.5 0.036 10.0 0.123 25.0 Minimum static shaft loading β Sa ≈ 2 T · sin · z 2 500 · (2.03 – 1.0) · 20.8 T ≈ + 0.036 · 16.62 ≈ 75 N 1.0 · 10 · 16.6 Sa ≈ 2 · 75 · 0.9986 · 10 ≈ 1500 N Belt deflection for a given span length Ea ≈ E·L 100 2.5 · 367.0 Ea ≈ ≈ 9 mm 100 E from diagram 2, page 49 L = anom · sin 24 β 2 E ≈ 2.5 mm For explanation see chapter on tensioning on page 48 © Arntz OPTIBELT Group, Germany L = 367.6 · 0.9986 = 367.0 mm dRive design optibelt caP to design drive with: – optibelt RB Ribbed Belt 10 PL 1075 Lb – – – – optibelt optibelt optibelt optibelt RBS Ribbed Belt Pulley for Taper Bushes TB 10 PL 123 TB Taper Bush 2012 (Bore Diameter 14-50 mm) RBS Ribbed Belt Pulley for Taper Bushes TB 10 PL 93 TB Taper Bushes 1610 (Bore Diameter 14-42 mm) Tolerances/Indications Prime mover Driven machine Design power Driver unit output Driver pulley torque Speed of driver unit Effective output speed : Electric motor Effective drive centre distance Effective speed ratio Allowance for installation Allowance for tensioning PB: P: M: n1: n2: db1: db2: : a: i: y: x: 20.80 13.00 51 2440 3172 123.00 93.00 1075 367.55 0.77 25.00 20.00 Effective drive service factor Belt speed Flexing cycles Power rating per belt Arc of contact correction factor Belt length correction factor Arc of contact for small pulley Pulley face width Span length c2: v: f B: P n: c1: c3: β: b2: l: 1.64 16.61 30.90 2.49 1.00 0.86 175.32 48.90 367.24 zth: : Sast: Sast: Sadyn: 9.74 --1941 1493 1308 Calculated number of belts Drive unit weight Static shaft loading, initial installation Static shaft loading, used belt Dynamic shaft loading Belt tension methods for predetermined c2 = 1. OPTIKRIK II Initial installation 1.60 kW kW Nm 1/min 1/min mm mm mm mm 1.7 % mm mm –55 1/min –12.452 mm m/s 1/s kW ° mm mm kg --N N for predetermined c2 = 1.60 Operating voltage New belt Used belt Static shaft loading per belt: 971 N 747 N Test load: 100 N 100 N Deflection: 7.34 mm 8.45 mm : 2.85 mm 2.11 mm 70.72 1/s 62.02 1/s 2. Deflection with tension gauge 3. Length addition per 1000 mm belt length 4. optibelt TT 3 / TT MINI Frequency Tension Gauge Frequency: Concerning liability consult our general terms and conditions. © Arntz OPtIBELt GrOuP, GErmAny 25 Profile PH Power rating PN [kW] per rib for β = 180° and Lb = 813 mm v [m/s] Table 5 2 O 5 O nk [rpm] Effective diameter of small pulley dbk [mm] 13 17 20 25 31,5 35,5 40 45 50 63 71 80 Arc of contact correction factor [kW] per rib for speed ratio i 1.01 1.06 1.27 > 1.57 tototo 1.05 1.26 1.57 7000.010.020.020.030.040.050.050.060.070.090.100.11 9500.010.020.030.040.050.060.070.080.090.110.130.15 14500.020.030.040.060.080.090.100.110.130.170.190.21 28500.030.050.070.100.140.160.180.210.230.300.340.38 0.01 0.01 1000.000.000.000.010.010.010.010.010.010.020.020.02 3000.010.010.010.010.020.020.020.030.030.040.050.05 5000.010.010.020.020.030.030.040.040.050.060.070.08 7000.010.020.020.030.040.050.050.060.070.090.100.11 9000.010.020.030.040.050.060.070.080.080.110.120.14 10000.010.020.030.040.050.060.070.080.090.120.130.15 11000.020.020.030.040.060.070.080.090.100.130.150.17 12000.020.030.030.050.060.070.080.100.110.140.160.18 13000.020.030.040.050.070.080.090.100.120.150.170.19 14000.020.030.040.050.070.080.100.110.130.160.180.21 15000.020.030.040.060.080.090.100.120.130.170.190.22 16000.020.030.040.060.080.100.110.130.140.180.200.23 17000.020.040.050.060.090.100.120.130.150.190.220.24 18000.020.040.050.070.090.110.120.140.160.200.230.26 19000.020.040.050.070.100.110.130.150.160.210.240.27 20000.020.040.050.070.100.120.130.150.170.220.250.28 21000.020.040.060.080.100.120.140.160.180.230.260.29 22000.030.040.060.080.110.130.150.170.190.240.270.31 0.01 23000.030.050.060.080.110.130.150.170.190.250.280.32 0.01 24000.030.050.060.090.120.140.160.180.200.260.290.33 0.01 25000.030.050.060.090.120.140.160.190.210.270.300.34 0.01 26000.030.050.070.090.130.150.170.190.220.280.310.35 0.01 27000.030.050.070.100.130.150.170.200.220.290.320.37 0.01 28000.030.050.070.100.130.160.180.210.230.300.330.38 0.01 0.01 29000.030.060.070.100.140.160.180.210.240.300.340.39 0.01 0.01 30000.030.060.080.100.140.170.190.220.240.310.350.40 0.01 0.01 31000.030.060.080.110.150.170.200.220.250.320.370.41 0.01 0.01 32000.030.060.080.110.150.170.200.230.260.330.380.42 0.01 0.01 33000.030.060.080.110.150.180.210.240.270.340.390.43 0.01 0.01 34000.040.060.080.120.160.180.210.240.270.350.390.44 0.01 0.01 35000.040.060.090.120.160.190.220.250.280.360.400.46 0.01 0.01 36000.040.070.090.120.170.190.220.260.290.370.410.47 0.01 0.01 37000.040.070.090.130.170.200.230.260.290.380.420.48 0.01 0.01 38000.040.070.090.130.170.200.230.270.300.380.430.49 0.01 0.01 0.01 39000.040.070.090.130.180.210.240.270.310.390.440.50 0.01 0.01 0.01 40000.040.070.100.130.180.210.240.280.310.400.450.51 0.01 0.01 0.01 41000.040.070.100.140.190.220.250.290.320.410.460.52 0.01 0.01 0.01 42000.040.080.100.140.190.220.250.290.330.420.470.53 0.01 0.01 0.01 44000.040.080.100.150.200.230.260.300.340.430.490.55 0.01 0.01 0.01 46000.040.080.110.150.210.240.270.310.350.450.510.57 0.01 0.01 0.01 48000.050.080.110.160.210.250.280.330.370.470.520.59 0.01 0.01 0.01 50000.050.090.120.160.220.260.290.340.380.480.540.60 0.01 0.01 0.01 52000.050.090.120.170.230.260.300.350.390.500.560.62 0.01 0.01 0.01 54000.050.090.120.170.240.270.310.360.400.510.570.64 0.01 0.01 0.01 56000.050.090.130.180.240.280.320.370.420.530.590.66 0.01 0.01 0.01 58000.050.100.130.180.250.290.330.380.430.540.610.67 0.01 0.01 0.01 60000.050.100.130.190.260.300.340.390.440.560.620.69 0.01 0.01 0.01 62000.060.100.140.190.260.310.350.400.450.570.640.70 0.01 0.01 0.01 64000.060.110.140.200.270.310.360.410.460.580.650.72 0.01 0.01 0.01 66000.060.110.140.200.280.320.370.420.470.600.660.73 0.01 0.01 0.02 68000.060.110.150.210.290.330.380.430.490.610.680.75 0.01 0.01 0.02 70000.060.110.150.210.290.340.390.440.500.620.690.76 0.01 0.01 0.02 72000.060.120.150.220.300.350.400.450.510.630.700.77 0.01 0.01 0.02 74000.060.120.160.220.310.350.410.460.520.650.710.78 0.01 0.01 0.02 76000.060.120.160.230.310.360.420.470.530.660.730.79 0.01 0.01 0.02 78000.060.120.170.230.320.370.420.480.540.670.740.80 0.01 0.01 0.02 80000.070.130.170.240.330.380.430.490.550.680.750.81 0.01 0.01 0.02 82000.070.130.170.240.330.380.440.500.560.690.760.82 0.01 0.01 0.02 84000.070.130.180.250.340.390.450.510.570.700.770.83 0.01 0.02 0.02 86000.070.130.180.250.340.400.460.520.580.710.780.83 0.01 0.02 0.02 88000.070.130.180.260.350.410.460.530.590.720.780.84 0.01 0.02 0.02 90000.070.140.180.260.360.410.470.540.590.730.790.85 0.01 0.02 0.02 92000.070.140.190.270.360.420.480.540.600.740.800.85 0.01 0.02 0.02 94000.070.140.190.270.370.430.490.550.610.740.810.86 0.01 0.02 0.02 96000.070.140.190.280.380.430.500.560.620.750.810.86 0.01 0.02 0.02 98000.080.150.200.280.380.440.500.570.630.760.820.86 0.01 0.02 0.02 100000.080.150.200.280.390.450.510.580.640.770.820.86 0.01 0.02 0.02 103000.080.150.210.290.400.460.520.590.650.770.830.86 0.01 0.02 0.02 106000.080.150.210.300.400.470.530.600.660.780.830.86 0.01 0.02 0.02 109000.080.160.210.300.410.480.540.610.670.790.840.86 0.01 0.02 0.02 115000.080.160.220.320.430.490.560.630.690.800.840.84 0.02 0.02 0.03 121000.090.170.230.330.440.510.580.650.700.810.830.82 0.02 0.02 0.03 125000.090.170.240.340.450.520.590.660.710.810.830.80 0.02 0.02 0.03 Where v > 60 m/s, please consult our Applications Engineers! 10 O 26 © Arntz OPTIBELT Group, Germany 20 O 30 O 40 O v [m/s] Profile PJ Power Rating PN [kW] per Rip for β = 180° and Lb = 1016 mm v [m/s] Table 6 2 O 5 O 10 O nk [rpm] Effective diameter of small pulley dbk [mm] 700 950 1450 2850 100 300 500 700 900 1100 1200 1300 1400 1500 1600 1700 1800 1900 2000 2100 2200 2300 2400 2500 2600 2700 2800 2900 3000 3100 3200 3300 3400 3500 3600 3700 3800 3900 4000 4100 4200 4300 4400 4500 4600 4700 4800 4900 5000 5100 5200 5300 5400 5500 5600 5700 5800 6000 6200 6400 6600 6800 7000 7200 7400 7600 7800 8000 8200 8400 8600 8800 9000 9200 9400 9700 9900 10100 10500 20 25 31,5 35,5 40 45 50 63 71 80 90 100 112 125 140 Arc of contact correction factor [kW] per rib for speed ratio i 1.01 1.06 1.27 > 1.57 tototo 160 1.05 1.26 1.57 0.040.050.070.080.100.110.130.160.180.210.240.260.300.330.370.420.01 0.050.070.090.110.130.140.160.210.240.280.310.350.390.440.490.560.010.01 0.060.090.130.150.180.210.240.310.350.400.450.510.570.630.710.810.010.010.01 0.110.160.230.280.320.380.430.560.640.720.820.911.021.141.271.430.010.020.02 0.010.010.010.020.020.020.020.030.030.040.040.050.050.060.060.07 0.020.030.030.040.050.050.060.080.090.100.110.120.140.160.170.20 0.030.040.050.060.070.080.090.120.140.160.180.200.220.250.270.31 0.040.050.070.080.100.110.130.160.180.210.240.260.300.330.370.420.01 0.040.060.090.100.120.140.160.200.230.260.300.330.370.420.460.530.010.01 0.050.070.100.120.140.160.190.240.280.310.360.400.440.500.560.630.010.01 0.050.080.110.130.150.180.200.260.300.340.380.430.480.540.600.680.010.01 0.060.090.120.140.160.190.220.280.320.360.410.460.520.580.640.730.010.010.01 0.060.090.130.150.180.200.230.300.340.390.440.490.550.620.690.780.010.010.01 0.070.100.140.160.190.220.240.320.360.410.470.520.590.650.730.830.010.010.01 0.070.100.140.170.200.230.260.340.380.440.490.550.620.690.770.880.010.010.01 0.070.110.150.180.210.240.270.360.410.460.520.580.650.730.820.930.010.010.01 0.080.110.160.190.220.250.290.370.430.480.550.610.690.770.860.980.010.010.01 0.080.120.170.200.230.260.300.390.450.510.580.640.720.800.901.020.010.010.01 0.080.120.170.200.240.280.310.410.470.530.600.670.750.840.941.070.010.010.01 0.080.130.180.210.250.290.330.430.490.560.630.700.790.880.981.110.010.010.02 0.090.130.190.220.260.300.340.450.510.580.650.730.820.911.021.160.010.010.02 0.090.140.190.230.270.310.350.460.530.600.680.760.850.951.061.200.010.010.02 0.090.140.200.240.280.320.370.480.550.620.710.790.880.981.101.240.010.010.02 0.100.150.210.250.290.340.380.500.570.650.730.820.911.021.141.290.010.010.02 0.100.150.220.260.300.350.390.520.590.670.760.840.941.051.171.330.010.010.02 0.100.160.220.260.310.360.410.530.610.690.780.870.981.091.211.370.010.020.02 0.110.160.230.270.320.370.420.550.630.710.810.901.011.121.251.410.010.020.02 0.110.170.240.280.330.380.430.570.650.730.830.931.041.151.281.450.010.020.02 0.110.170.240.290.340.390.450.580.670.760.860.951.071.191.321.490.010.020.02 0.110.170.250.300.350.400.460.600.680.780.880.981.101.221.351.530.010.020.02 0.120.180.260.300.360.410.470.620.700.800.901.011.131.251.391.560.010.020.02 0.120.180.260.310.370.430.480.630.720.820.931.031.151.281.421.600.010.020.02 0.120.190.270.320.380.440.500.650.740.840.951.061.181.311.461.640.010.020.02 0.130.190.280.330.380.450.510.670.760.860.971.081.211.341.491.670.010.020.03 0.130.200.280.340.390.460.520.680.780.881.001.111.241.371.521.710.010.020.03 0.130.200.290.340.400.470.530.700.800.901.021.131.271.401.551.740.020.020.03 0.130.210.300.350.410.480.550.710.810.921.041.161.291.431.591.770.020.020.03 0.140.210.300.360.420.490.560.730.830.941.071.181.321.461.621.800.020.020.03 0.140.210.310.370.430.500.570.750.850.961.091.211.351.491.651.840.020.020.03 0.140.220.320.370.440.510.580.760.870.981.111.231.371.521.681.870.020.020.03 0.140.220.320.380.450.520.590.780.891.001.131.261.401.551.701.900.020.020.03 0.150.230.330.390.460.530.610.790.901.021.151.281.421.571.731.920.020.020.03 0.150.230.330.400.470.540.620.810.921.041.181.301.451.601.761.950.020.020.03 0.150.230.340.400.480.550.630.820.941.061.201.331.471.631.791.980.020.030.03 0.150.240.350.410.480.560.640.840.951.081.221.351.501.651.812.000.020.030.03 0.160.240.350.420.490.570.650.850.971.101.241.371.521.681.842.030.020.030.03 0.160.250.360.430.500.580.660.870.991.121.261.391.551.701.862.050.020.030.03 0.160.250.370.430.510.590.680.881.011.141.281.421.571.721.892.070.020.030.04 0.160.260.370.440.520.600.690.901.021.161.301.441.591.751.912.090.020.030.04 0.170.260.380.450.530.610.700.911.041.171.321.461.621.771.932.12 0.010.020.030.04 0.170.260.380.460.540.620.710.931.051.191.341.481.641.791.952.13 0.010.020.030.04 0.170.270.390.460.550.630.720.941.071.211.361.501.661.821.982.15 0.010.020.030.04 0.170.270.400.470.550.640.730.961.091.231.381.521.681.842.002.17 0.010.020.030.04 0.180.280.400.480.560.650.740.971.101.251.401.541.701.862.022.19 0.010.020.030.04 0.180.280.410.480.570.660.760.981.121.261.421.561.721.882.032.20 0.010.020.030.04 0.180.280.410.490.580.670.771.001.131.281.441.581.741.902.052.22 0.010.020.030.04 0.180.290.420.500.590.680.781.011.151.301.451.601.761.922.072.23 0.010.020.030.04 0.190.290.430.510.600.700.801.041.181.331.491.641.801.952.102.25 0.010.020.030.04 0.190.300.440.530.620.720.821.071.211.361.521.671.831.992.132.27 0.010.030.040.04 0.200.310.450.540.640.740.841.091.241.401.561.711.872.022.162.28 0.010.030.040.05 0.200.320.470.550.650.760.861.121.271.431.591.741.902.052.182.28 0.010.030.040.05 0.200.320.480.570.670.780.881.151.301.461.621.771.932.072.202.29 0.010.030.040.05 0.210.330.490.580.680.790.901.171.321.491.651.801.962.102.212.28 0.010.030.040.05 0.210.340.500.590.700.810.921.201.351.521.681.831.982.122.222.27 0.010.030.040.05 0.220.350.510.610.710.830.941.221.381.541.711.862.012.132.23 0.010.030.040.05 0.220.350.520.620.730.850.961.241.401.571.741.882.032.152.23 0.010.030.040.05 0.220.360.530.630.740.860.981.271.431.601.761.912.052.162.23 0.010.030.040.06 0.230.370.540.640.760.881.001.291.451.621.791.932.072.172.22 0.010.030.050.06 0.230.370.550.660.770.901.021.311.481.651.811.952.082.172.21 0.010.030.050.06 0.240.380.560.670.790.911.041.331.501.671.831.972.092.182.20 0.010.030.050.06 0.240.390.570.680.800.931.061.361.521.691.851.992.102.18 0.010.040.050.06 0.240.390.580.690.820.951.071.381.541.711.872.002.112.17 0.010.040.050.06 0.250.400.590.710.830.961.091.401.561.731.892.012.122.16 0.010.040.050.06 0.250.410.600.720.840.981.111.421.591.751.912.032.122.15 0.010.040.050.07 Where v > 0.260.410.610.730.860.991.131.441.601.771.922.042.122.14 60 m/s, please 0.010.040.050.07 0.260.420.630.750.881.021.151.461.631.801.942.052.12 0.010.040.050.07 consult our 0.260.430.640.760.891.031.171.481.651.811.952.052.11 0.010.040.060.07 Applications 0.270.440.640.770.901.051.181.501.671.831.962.062.10 0.010.040.060.07 Engineers! 0.270.450.660.790.931.071.211.531.701.851.982.052.07 0.010.040.060.08 20 O 30 O 40 O 50 O v [m/s] © Arntz OPTIBELT Group, Germany 27 Profile PK Power Rating PN [kW] per Rib for β = 180° and Lb = 1600 mm v [m/s] Table 7 2 O 5 O 10 O 20 O nk [rpm] Effective diameter of small pulley dbk [mm] 45 50 71 80 90 100 112 125 140 160 180 190 224 250 280 315 700 0.170.210.320.380.450.530.610.700.800.911.061.211.281.531.711.922.160.020.020.03 950 0.210.270.410.490.590.690.790.921.051.201.391.581.682.002.232.502.81 0.010.020.030.04 1450 0.290.370.580.700.840.991.141.321.511.732.012.282.422.863.193.563.97 0.010.040.050.06 2850 0.480.631.001.231.481.752.012.322.653.013.473.904.114.755.165.565.91 0.020.070.100.12 200 0.060.080.110.130.150.180.200.230.270.300.350.400.420.500.560.630.710.010.01 400 0.110.130.200.240.280.330.370.430.490.560.650.740.780.931.041.171.320.010.010.02 600 0.150.190.280.330.400.460.530.610.700.800.931.061.121.331.491.681.890.010.020.03 800 0.190.230.350.430.510.600.680.790.901.031.201.361.441.721.922.162.420.020.030.03 1000 0.220.280.430.520.610.720.830.961.091.251.451.661.762.092.342.622.93 0.010.020.030.04 1100 0.240.300.460.560.670.780.901.041.191.361.581.801.912.272.532.843.18 0.010.030.040.05 1200 0.250.320.500.600.720.850.971.121.281.471.701.942.062.442.733.053.41 0.010.030.040.05 1300 0.270.340.530.640.770.911.041.201.371.571.832.082.202.612.923.263.64 0.010.030.040.06 1400 0.290.360.560.680.820.961.111.281.471.671.952.212.352.783.103.463.86 0.010.030.050.06 1500 0.300.380.600.720.871.021.181.361.561.782.072.352.492.953.283.664.07 0.010.040.050.06 1600 0.320.400.630.760.921.081.241.441.641.882.182.482.623.113.463.854.28 0.010.040.050.07 1700 0.330.420.660.800.961.141.311.511.731.982.302.612.763.263.634.034.47 0.010.040.060.07 1800 0.340.440.690.841.011.191.381.591.822.072.412.732.893.413.794.214.65 0.010.040.060.08 1900 0.360.460.720.881.061.251.441.661.902.172.522.863.023.563.954.374.83 0.010.050.060.08 2000 0.370.480.750.921.101.311.501.741.982.272.632.983.153.714.114.544.99 0.010.050.070.08 2100 0.390.500.790.961.151.361.571.812.072.362.743.103.273.854.254.695.15 0.010.050.070.09 2200 0.400.520.821.001.201.411.631.882.152.452.843.213.403.984.404.835.29 0.010.050.070.09 2300 0.410.530.841.031.241.471.691.952.232.542.943.333.514.114.534.975.42 0.010.060.080.10 2400 0.420.550.871.071.281.521.752.022.312.633.043.443.634.244.665.105.54 0.010.060.080.10 2500 0.440.570.901.101.331.571.812.092.392.723.143.553.744.364.795.225.64 0.010.060.080.11 2600 0.450.590.931.141.371.621.872.162.462.803.243.653.854.484.905.335.74 0.020.060.090.11 2700 0.460.600.961.181.411.671.932.222.542.893.333.763.964.595.015.435.82 0.020.070.090.11 2800 0.470.620.991.211.461.721.982.292.612.973.433.864.064.695.115.525.88 0.020.070.090.12 2900 0.490.641.021.251.501.772.042.362.693.053.523.954.164.795.215.605.94 0.020.070.100.12 3000 0.500.651.041.281.541.822.102.422.763.133.614.054.254.895.305.675.97 0.020.070.100.13 3100 0.510.671.071.311.581.872.152.482.833.213.694.144.354.985.385.736.00 0.020.080.100.13 3200 0.520.681.101.351.621.922.212.542.903.293.774.224.435.065.455.786.01 0.020.080.110.14 3300 0.530.701.121.381.661.972.262.612.973.363.864.314.525.145.515.82 0.020.080.110.14 3400 0.540.711.151.411.702.012.312.673.033.433.934.394.605.215.575.85 0.020.080.110.14 3500 0.550.731.181.441.742.062.372.733.103.514.014.474.675.285.625.86 0.020.090.120.15 3600 0.560.741.201.481.782.102.422.783.163.584.084.544.755.345.655.87 0.020.090.120.15 3700 0.570.761.231.511.822.152.472.843.233.644.154.614.825.395.685.86 0.020.090.120.16 3800 0.580.771.251.541.852.192.522.903.293.714.224.684.885.435.70 0.020.090.130.16 3900 0.590.791.281.571.892.242.572.953.353.774.294.744.945.475.71 0.020.100.130.17 4000 0.600.801.301.601.932.282.623.013.413.834.354.804.995.505.72 0.020.100.130.17 4100 0.610.821.331.631.962.322.663.063.463.894.414.855.045.535.71 0.020.100.140.17 4200 0.620.831.351.662.002.362.713.113.523.954.474.915.095.545.69 0.020.100.140.18 4300 0.630.841.371.692.032.402.763.163.574.014.524.955.135.55 0.030.110.140.18 4400 0.640.861.401.722.072.442.803.213.634.064.575.005.175.56 0.030.110.150.19 4500 0.650.871.421.752.102.482.853.263.684.124.625.035.205.55 0.030.110.150.19 4600 0.660.881.441.782.142.522.893.313.734.174.675.075.235.54 0.030.110.150.19 4700 0.670.901.471.802.172.562.933.353.774.214.715.105.255.51 0.030.110.160.20 4800 0.680.911.491.832.202.602.973.403.824.264.755.135.275.48 0.030.120.160.20 4900 0.690.921.511.862.232.633.013.443.874.304.795.155.28 0.030.120.160.21 5000 0.690.931.531.882.272.673.053.483.914.344.825.165.28 0.030.120.170.21 5100 0.700.941.551.912.302.713.093.533.954.384.855.185.28 0.030.120.170.22 5200 0.710.961.571.942.332.743.133.573.994.424.875.185.28 0.030.130.170.22 5300 0.720.971.591.962.362.783.173.604.034.454.905.195.27 0.030.130.180.22 5400 0.730.981.621.992.392.813.203.644.074.484.925.185.25 0.030.130.180.23 5500 0.730.991.642.012.422.843.243.684.104.514.935.18 0.030.130.180.23 5600 0.741.001.652.042.452.873.273.714.134.544.945.16 0.030.140.190.24 5800 0.761.021.692.082.502.943.343.784.194.594.955.12 0.030.140.190.25 6000 0.771.051.732.132.552.993.403.844.254.624.95 0.040.150.200.25 6200 0.781.071.772.172.603.053.463.894.294.654.93 0.040.150.210.26 6400 0.801.091.802.212.653.103.513.944.334.664.90 0.040.160.210.27 6600 0.811.101.842.262.703.153.563.984.364.664.85 0.040.160.220.28 6800 0.821.121.872.292.743.203.604.024.384.66 0.040.170.230.29 7000 0.831.141.902.332.783.243.644.054.394.64 0.040.170.230.30 7200 0.841.161.932.372.823.283.684.074.394.60 0.040.180.240.30 7400 0.851.171.962.402.863.313.714.094.394.56 0.040.180.250.31 7600 0.861.191.982.432.893.343.734.104.37 0.040.190.250.32 7800 0.871.202.012.462.923.373.754.104.35 0.050.190.260.33 8000 0.881.212.032.492.953.403.774.104.31 0.050.200.270.34 8200 0.881.232.052.512.973.423.784.094.27 0.050.200.270.35 8400 0.891.242.082.543.003.433.784.074.21 0.050.210.280.36 8600 0.90 1.25 2.10 2.56 3.02 3.44 3.78 4.05 0.05 0.21 0.29 0.36 8800 0.90 1.26 2.11 2.58 3.03 3.45 3.77 4.01 0.05 0.22 0.29 0.37 9000 0.91 1.27 2.13 2.59 3.05 3.46 3.76 3.97 0.05 0.22 0.30 0.38 9200 0.91 1.28 2.14 2.61 3.06 3.46 3.74 3.92 0.05 0.23 0.31 0.39 9400 0.91 1.28 2.16 2.62 3.06 3.45 3.72 3.87 0.06 0.23 0.31 0.40 9600 0.91 1.29 2.17 2.63 3.07 3.44 3.69 0.06 0.23 0.32 0.41 Where v > 50 m/s, 9800 0.92 1.30 2.18 2.64 3.07 3.43 3.65 0.06 0.24 0.33 0.41 please consult our 10000 0.92 1.30 2.19 2.64 3.07 3.41 3.61 0.06 0.24 0.33 0.42 Applications 10200 0.92 1.31 2.19 2.65 3.06 3.39 0.06 0.25 0.34 0.43 Engineers! 10400 0.92 1.31 2.20 2.65 3.05 3.36 0.06 0.25 0.35 0.44 30 O 28 63 Arc of contact correction factor [kW] per rib for speed ratio i 1.01 1.06 1.27 > 1.57 tototo 1.05 1.26 1.57 40 O © Arntz OPTIBELT Group, Germany 50 O v [m/s] Profile PL Power Rating PN [kW] per Rib for β = 180° and Lb = 2096 mm v [m/s] Table 8 5 O 10 O 20 O nk [rpm] Effective diameter of small pulley dbk [mm] 76 80 90 100 112 125 140 160 180 200 224 250 280 315 355 Arc of contact correction factor [kW] per rib for speed ratio i 1.01 1.06 1.27 > 1.57 tototo 400 1.05 1.26 1.57 700 0.490.530.640.740.871.001.151.341.541.731.962.202.482.803.163.55 0.010.030.040.06 950 0.630.690.830.961.121.301.491.752.012.262.562.873.233.644.094.58 0.010.040.060.08 1450 0.890.971.171.371.601.852.142.512.883.233.654.094.585.125.716.32 0.020.070.090.12 2850 1.501.652.002.352.763.193.674.284.855.385.966.517.047.517.827.84 0.030.130.180.23 100 0.100.100.120.140.160.180.210.240.280.310.350.390.440.500.560.630.010.01 200 0.170.190.220.250.290.340.380.450.510.570.650.730.820.921.041.170.010.010.02 300 0.240.260.310.360.420.480.550.640.730.820.931.041.171.321.501.690.010.020.02 400 0.310.340.400.460.530.610.700.820.941.061.201.351.521.711.932.180.020.030.03 500 0.370.400.480.560.650.750.861.001.151.291.461.641.852.092.352.65 0.010.020.030.04 600 0.430.470.560.650.760.871.001.181.351.511.711.932.172.452.763.11 0.010.030.040.05 700 0.490.530.640.740.871.001.151.341.541.731.962.202.482.803.163.55 0.010.030.040.06 800 0.550.600.710.830.971.121.291.511.731.952.202.482.793.143.543.97 0.010.040.050.06 900 0.610.660.790.921.071.241.421.671.922.162.442.743.083.473.914.38 0.010.040.060.07 1000 0.660.720.861.001.171.351.561.832.102.362.673.003.373.804.274.78 0.010.050.060.08 1100 0.710.780.931.091.271.471.691.992.282.562.903.253.654.114.615.15 0.010.050.070.09 1200 0.760.831.001.171.371.581.822.142.452.763.123.503.934.414.945.51 0.010.060.080.10 1300 0.820.891.071.251.461.691.952.292.622.953.333.744.194.705.265.85 0.010.060.080.11 1400 0.870.941.141.331.561.802.082.442.793.143.553.974.454.985.566.16 0.020.070.090.11 1500 0.911.001.201.411.651.912.202.582.963.323.754.204.705.255.856.46 0.020.070.100.12 1600 0.961.051.271.491.742.012.322.733.123.503.954.424.945.516.126.74 0.020.070.100.13 1700 1.011.101.331.561.832.122.442.873.283.684.154.635.175.756.376.99 0.020.080.110.14 1800 1.061.151.401.641.922.222.563.003.433.854.344.845.395.996.617.22 0.020.080.120.15 1900 1.101.211.461.712.002.322.683.143.594.024.525.045.606.216.827.42 0.020.090.120.15 2000 1.151.251.521.782.092.422.793.273.734.184.705.235.806.417.027.59 0.020.090.130.16 2100 1.191.301.581.852.172.522.903.403.884.344.875.415.996.607.207.74 0.020.100.130.17 2200 1.241.351.641.922.262.613.013.534.024.505.045.596.176.787.367.86 0.020.100.140.18 2300 1.281.401.701.992.342.703.123.654.164.655.205.756.346.947.497.95 0.030.110.150.19 2400 1.321.451.762.062.422.803.223.774.294.795.355.916.507.087.618.00 0.030.110.150.19 2500 1.361.491.812.132.502.893.333.894.424.935.506.066.647.217.708.03 0.030.120.160.20 2600 1.401.541.872.192.572.983.434.004.555.065.646.206.777.327.768.02 0.030.120.170.21 2700 1.441.581.922.262.653.063.524.114.675.195.776.336.897.417.817.98 0.030.130.170.22 2800 1.481.631.982.322.723.153.624.224.795.325.906.457.007.487.827.90 0.030.130.180.23 2900 1.521.672.032.382.803.233.724.334.905.436.016.567.097.547.81 0.030.140.190.23 3000 1.561.712.082.452.873.313.814.435.015.556.136.677.177.577.77 0.030.140.190.24 3100 1.601.752.132.512.943.393.904.535.125.656.236.767.237.597.71 0.030.140.200.25 3200 1.631.792.182.563.013.473.984.625.225.756.326.837.287.58 0.040.150.200.26 3300 1.671.832.232.623.083.554.074.725.315.856.416.907.317.56 0.040.150.210.27 3400 1.711.872.282.683.143.624.154.815.405.946.496.967.337.51 0.040.160.220.28 3500 1.741.912.332.743.213.694.234.895.496.026.567.007.337.44 0.040.160.220.28 3600 1.781.952.382.793.273.774.314.975.576.096.627.047.327.34 0.040.170.230.29 3700 1.811.992.422.843.333.834.385.055.656.166.677.067.29 0.040.170.240.30 3800 1.842.022.472.903.393.904.455.135.726.236.717.077.24 0.040.180.240.31 3900 1.872.062.512.953.453.964.525.205.786.286.747.067.17 0.040.180.250.32 4000 1.912.092.553.003.514.034.595.265.856.336.767.047.09 0.050.190.260.32 4100 1.942.132.603.053.564.094.655.325.906.376.787.01 0.050.190.260.33 4200 1.972.162.643.093.614.154.715.385.956.406.786.97 0.050.200.270.34 4300 2.002.192.683.143.674.204.775.445.996.436.776.91 0.050.200.280.35 4400 2.032.232.723.183.724.254.825.496.036.456.756.83 0.050.210.280.36 4500 2.052.262.753.233.764.314.885.536.066.466.736.74 0.050.210.290.36 4600 2.082.292.793.273.814.364.925.586.096.466.68 0.050.220.290.37 4700 2.112.322.833.313.864.404.975.616.116.456.63 0.050.220.300.38 4800 2.132.352.863.353.904.455.015.646.136.446.57 0.050.220.310.39 4900 2.162.372.893.393.944.495.055.676.136.426.50 0.060.230.310.40 5000 2.182.402.933.423.984.535.095.706.136.386.41 0.060.230.320.40 5100 2.212.432.963.464.024.575.125.716.136.34 0.060.240.330.41 5200 2.232.452.993.494.054.605.155.736.126.29 0.060.240.330.42 5300 2.252.483.023.534.094.635.175.746.106.23 0.060.250.340.43 5400 2.282.503.053.564.124.665.205.746.076.17 0.060.250.350.44 5500 2.302.533.073.594.154.695.225.746.046.09 0.060.260.350.45 5600 2.322.553.103.624.184.715.235.736.00 0.060.260.360.45 5700 2.342.573.133.644.204.745.245.725.95 0.060.270.360.46 5800 2.35 2.59 3.15 3.67 4.23 4.75 5.25 5.70 0.07 0.27 0.37 0.47 5900 2.37 2.61 3.17 3.69 4.25 4.77 5.25 5.68 0.07 0.28 0.38 0.48 6000 2.39 2.63 3.19 3.71 4.27 4.78 5.25 0.07 0.28 0.38 0.49 Where v > 40 m/s, please consult our Applications Engineers! 30 O 35 O v [m/s] © Arntz OPTIBELT Group, Germany 29 Profile PM Power Rating PN [kW] per Rib for β = 180° and Lb = 4089 mm v [m/s] Table 9 5 O 10 O 20 O nk [rpm] Effective diameter of small pulley dbk [mm] 180 190 200 224 250 280 315 355 400 450 500 560 630 710 800 1000 Arc of contact correction factor [kW] per rib for speed ratio i 1.01 1.06 1.27 > 1.57 tototo 1.05 1.26 1.57 700 3.51 3.83 4.16 4.93 5.75 6.68 7.74 8.9310.2211.6012.9214.4316.0717.7819.4722.23 0.06 0.24 0.33 0.42 950 4.46 4.88 5.30 6.29 7.34 8.52 9.8511.3112.8614.4815.9717.5819.2020.6521.7421.79 0.08 0.33 0.45 0.56 1450 6.06 6.65 7.22 8.57 9.9611.4713.1114.8016.4317.9018.9719.6619.5718.1614.71 0.12 0.50 0.68 0.86 2850 8.24 8.97 9.64 11.01 12.10 12.77 12.69 11.34 8.03 1.86 0.24 0.98 1.34 1.69 100 0.700.760.810.951.091.261.451.661.902.172.432.743.103.503.954.93 0.010.030.050.06 200 1.251.361.461.721.992.302.663.063.514.004.495.075.736.487.319.10 0.020.070.090.12 300 1.761.912.062.432.823.273.784.365.005.716.407.228.169.22 10.37 12.82 0.020.100.140.18 400 2.232.432.623.103.604.184.845.596.427.328.209.24 10.42 11.73 13.15 16.08 0.030.140.190.24 500 2.672.923.163.734.355.055.866.767.758.839.89 11.12 12.50 14.01 15.62 18.79 0.040.170.230.30 600 3.103.393.674.355.075.886.827.879.02 10.26 11.46 12.85 14.39 16.04 17.74 20.87 0.050.210.280.36 700 3.51 3.83 4.16 4.93 5.75 6.68 7.74 8.9310.2211.6012.9214.4316.0717.7819.4722.23 0.06 0.24 0.33 0.42 800 3.90 4.27 4.63 5.49 6.41 7.44 8.62 9.9211.3412.8314.2515.8317.5119.2020.7522.76 0.07 0.27 0.38 0.48 900 4.27 4.68 5.08 6.03 7.04 8.17 9.4510.8612.3813.9615.4317.0518.7020.2621.5522.37 0.07 0.31 0.42 0.53 1000 4.63 5.07 5.51 6.55 7.64 8.8610.2411.7413.3314.9716.4718.0719.6220.9421.79 0.08 0.34 0.47 0.59 1100 4.98 5.45 5.93 7.04 8.21 9.5110.9712.5514.2015.8717.3518.8620.2221.1921.44 0.09 0.38 0.52 0.65 1200 5.31 5.82 6.32 7.51 8.7510.1211.6513.2814.9716.6318.0519.4220.5020.97 0.10 0.41 0.56 0.71 1300 5.62 6.16 6.70 7.95 9.2610.7012.2813.9515.6417.2518.5719.7220.4220.26 0.11 0.45 0.61 0.77 1400 5.92 6.49 7.05 8.37 9.7311.2312.8514.5316.2017.7318.8919.7519.95 0.12 0.48 0.66 0.83 1500 6.20 6.80 7.39 8.7610.1811.7113.3615.0416.6418.0418.9919.49 0.12 0.51 0.70 0.89 1600 6.47 7.09 7.71 9.1310.5812.1513.8015.4516.9718.1918.8718.91 0.13 0.55 0.75 0.95 1700 6.72 7.36 8.00 9.4710.9612.5414.1815.7817.1718.1618.51 0.14 0.58 0.80 1.01 1800 6.95 7.62 8.27 9.7811.2912.8814.4916.0017.2317.9417.90 0.15 0.62 0.85 1.07 1900 7.16 7.85 8.5210.0611.5813.1614.7316.1317.1517.53 0.16 0.65 0.89 1.13 2000 7.36 8.07 8.7510.3011.8413.3914.8916.1516.9216.91 0.17 0.69 0.94 1.19 2100 7.54 8.26 8.96 10.52 12.05 13.56 14.97 16.06 16.54 0.17 0.72 0.99 1.25 2200 7.70 8.43 9.13 10.71 12.21 13.67 14.97 15.85 16.00 0.18 0.76 1.03 1.31 2300 7.84 8.58 9.29 10.86 12.33 13.72 14.88 15.52 15.29 0.19 0.79 1.08 1.37 2400 7.96 8.70 9.41 10.97 12.41 13.71 14.70 15.07 0.20 0.82 1.13 1.43 2500 8.06 8.81 9.51 11.05 12.43 13.62 14.43 14.48 0.21 0.86 1.17 1.48 2600 8.14 8.88 9.59 11.09 12.40 13.47 14.06 13.76 0.22 0.89 1.22 1.54 2700 8.20 8.94 9.63 11.09 12.32 13.25 13.59 0.22 0.93 1.27 1.60 2800 8.23 8.96 9.64 11.05 12.19 12.95 13.02 0.23 0.96 1.32 1.66 2900 8.24 8.96 9.63 10.97 12.00 12.57 12.34 0.24 1.00 1.36 1.72 3000 8.23 8.93 9.58 10.85 11.75 12.12 0.25 1.03 1.41 1.78 3100 8.19 8.88 9.50 10.68 11.44 11.58 0.26 1.06 1.46 1.84 3200 8.13 8.79 9.38 10.46 11.07 10.96 0.26 1.10 1.50 1.90 Where v > 30 m/s, please consult our Applications Engineers! v [m/s] 30 © Arntz OPTIBELT Group, Germany sPecial dRives v-flaT dRive The V-flat drive utilises a ribbed belt pulley and a flat faced pulley. under certain conditions, this type of drive can be used for drives which are subject to shock loadings or have high moments of inertia. Because flywheels or flat pulleys are quite often already fitted, drive costs can be reduced. When converting a flat belt drive to a V-Flat drive, it is usually economical to continue to use the large flat pulley. a = Drive centre distance [mm] b = Flat pulley face width [mm] b2 = ribbed belt pulley face width [mm] Da = Flat pulley outside diameter [mm] Dz = Allowance for determining the theoretical diameter [mm] db = Effective diameter of ribbed belt pulley [mm] f = Allowance for determining the flat pulley face width [mm] h = Crown height per 100 mm of pulley face width [mm] i = Speed ratio Lbth = Calculated belt effective length [mm] © Arntz OPtIBELt GrOuP, GErmAny 31 Special Drives V-Flat Drive Calculation of V-Flat Drives The calculation for a V-flat drive is undertaken in the same manner as shown on pages 22 to 24. The following important requirements must be checked so as to ensure a reliable and efficient V-flat drive. • The small pulley must always be a grooved pulley. • The V-flat drive is particularly economical when Da – db K = lies between 0.5 and 1.15. a The ideal drive is achieved when K = 0.85. If the “K” factor falls outside the recommended range, it is then more economical to use a normal ribbed belt drive with grooved pulleys. • The following recommendations are made based upon the above requirements: Speed ratio Drive centre distance K factor Da + DZ i = ≥ 3 db + 2 hb aall ≥ Da Da – db a = 0.85 Da – db K = a Kall 0.5 to 1.15 • When calculating the number of ribs and the belt tension, care must be taken to ensure that a special arc of contact correction factor c1 as detailed in the following table 10 is applied. Table 10: Arc of Contact Correction Factor c1 (for V-Flat Drives Only) K = Da – db a c1 β≈ 0 180° 0.07 176° 0.15 170° 0.22 167° 0.29 163° 0.35 160° 0.40 156° 0.45 153° 0.50 150° 0.57 146° 0.64 143° 0.70 140° 0.75 137° 0.80 134° 0.85 130° 0.92 125° 1.00 120° 1.07 115° 1.15 110° 1.21 106° 1.30 100° 1.36 96° 1.45 90° 0.75 0.76 0.77 0.79 0.79 0.80 0.81 0.81 0.82 0.83 0.84 0.85 0.85 0.86 0.86 0.84 0.82 0.80 0.78 0.77 0.73 0.72 0.70 The length calculation is for the effective length Lb. Therefore, in order to obtain the theoretical calculation diameter, an allowance Dz must be added to the flat pulley outside diameter. Table 11: Effective Line Difference hb Profile PH PJ PK PL hb nominal dimension 0.80 1.25 1.60 3.50 5.00 DZ 1.60 2.70 3.50 6.50 11.00 Calculation of the effective length Lbth ≈ 2 a + 1.57 (db + Da + DZ) + In addition to the drive design on pages 22 to 24, the static belt tension for V-flat drives must be calculated with the adjacent formula. Formula: Calculation of the static belt tension for V-flat drives 500 · (2.25 – c1) · PB T = + k · v2 c1 · z · v 32 © Arntz OPTIBELT Group, Germany (Da + DZ – db)2 4a PM sPecial dRives Tension/guide idleRs Tensioning/guide pulleys are ribbed or flat faced and do not transmit power within a drive system. Because they create additional bending stresses within the belt their use should be restricted to the following applications if possible: • with fixed drive centres to produce the required belt tension and to provide for maximum belt stretch and wear • as damping and guide rollers with long span lengths • as guide rollers on drives where the pulleys are not all positioned in one plane • as movable tensioners, to achieve a constant belt tension. this results in reduced maintenance and longer service life. the tension force is normally generated by springs, pneumatics or hydraulics. If idler pulleys have to be used for the reasons mentioned above, the following criteria should be observed in drive design: • position of the pulley in the belt span • diameter • shape • the adjustment travel of the pulley, both for tensioning and retensioning the ribbed belts • correction of the power rating per rib Pn idler arrangement Idlers can be used as inside or outside idlers. the end position of the idler must be based on the maximum belt stretch assumption. Flat pulleys, whether used inside or outside should be placed as far away as possible from the next grooved pulley that the ribbed belt will run onto. misalignment of the idler and the pulley due to lateral movements on the flat pulley can largely be prevented as a result. If the design conditions do not favour an outside idler, an inside idler is then generally more advantageous. Inside idler diameters can be smaller than outside idler diameters. inside idlers can be either grooved pulleys or flat pulleys. Inside idlers reduce the arc of contact on the loaded pulleys and hence also the arc of contact correction factor c1. When calculating the number of ribs, the arc of contact correction factor is to be selected at the point of the maximum belt extension (see table 14, page 34). ribbed belt pulleys are to be preferred as inside idlers on long spans as flat pulleys could permit the development of lateral vibration. outside idlers must always take the form of flat pulleys as they run on the top surface of the belt. they increase the arc of contact. Care must be taken however to ensure that the maximum possible belt stretch is taken up, and that contact with the opposite span is prevented. Inside Idler the diametrically opposed bending caused when outside idlers are used can lead to a reduction of the belt service life. Idlers on the Tight/Slack Side Both the theoretical power transmission formulae and actual practice have shown that wherever possible the idler should be placed on the slack side of the drive. this allows the idler tension force to be maintained at a considerably lower level. A spring loaded idler must not be used in a reversing drive because the tight and slack sides change continuously. Our engineers will be pleased to advise you about special problems regarding spring loaded idlers! Minimum diameter for inside idlers Inside idler ≥ the smallest driven pulley in the system Minimum diameter for outside idlers Outside idler ≥ 1.2 times the smallest loaded pulley in the system Table 12: Minimum diameter for idlers Profile Ph PJ PK Pl PM minimum diameter of inside idler [mm] minimum diameter of outside idler [mm] 20 25 50 100 200 40 50 70 150 300 Failure to observe the minimum recommended idler diameter will impair the service life of the ribbed belts. idler design ribbed belt pulleys used as idlers normally have standard groove dimensions. Flat pulleys should wherever possible be cylindrical, not crowned. Outside Idler © Arntz OPtIBELt GrOuP, GErmAny 33 sPecial dRives Tension/guide idleRs drive calculation the length calculation and the determination of the number of ribs is undertaken as for two-pulley drives. Certain details must, however, be taken into account: 1. Calculate the ribbed belt length over two pulleys using the formula: Lbth ≈ 2 a + 1.57 (dbg + dbk) + (dbg – dbk)2 the nominal power rating Pn per rib is as previously based on the smallest loaded pulley. In determining the arc of contact correction factor c1 the smallest contact angle of the loaded pulleys which occurs at maximum belt extension must be used. Table 14: Arc of Contact Correction Factor c1 β≈ c1 β≈ c1 75° 80° 85° 90° 95° 0.78 0.82 0.84 0.85 0.87 175° 180° 185° 190° 195° 1.00 1.00 1.00 1.01 1.01 100° 105° 110° 115° 120° 0.89 0.90 0.91 0.92 0.93 200° 205° 210° 215° 220° 1.01 1.01 1.01 1.02 1.02 125° 130° 135° 140° 145° 0.94 0.95 0.96 0.97 0.97 225° 230° 240° 250° 1.02 1.02 1.02 1.02 150° 155° 160° 165° 170° 0.98 0.98 0.99 0.99 0.99 4a 2. If the ribbed belt has to be fitted with a fixed drive centre distance, twice the allowance y should be added to the belt length Lbth (see table 3, page 19). Lb = Lbth + 2 y 3. the next longest standard length LbSt should then be selected. A check should be made to determine whether the belt can be adequately tensioned with the idler in the outermost position. In this idler position, both the standard length LbSt as well as double the allowance x must be taken up (see table 3, page 19). Lb for idler end position = LbSt + 2 x Position of the tension pulley after maximum belt stretch at nominal belt length the following formula for determining the number of ribs is obtained using the idler correction factor c4: z= fixed drive centre distance number of idlers the application of idlers increases the bending stress in the ribbed belts. to avoid a reduction in belt service life, the idler correction factor c4 must also be included in the calculation. this correction factor takes the number of idlers into consideration with the minimum diameter being maintained. Table 13 34 number of idlers c4 0 1 2 3 1.00 0.91 0.86 0.81 © Arntz OPtIBELt GrOuP, GErmAny P · c2 Pn · c1 · c3 · c4 Ribbed belT Pulleys MeasuRing Pulleys – lengTh MeasuRing condiTions To din 7867 / iso 9982 Table 15 Profile Effective circumference ub = db · π [mm] Effective diameter Groove angle db α ± 0.5° Checking rod diameter ds ± 0.01 [mm] Diameter over rod P ± 0.1 [mm] Groove depth tmin rt min measuring force per rib Q [mm] [mm] [n] Ph∗ 100 31.8 40° 1.0 31.94 1.33 0.15 30 Ph 300 95.5 40° 1.0 95.60 1.33 0.15 30 PJ∗ 100 31.8 40° 1.5 32.06 2.06 0.20 50 PJ 300 95.5 40° 1.5 95.72 2.06 0.20 50 PK 300 95.5 40° 2.5 96.48 3.45 0.25 100 Pl 500 159.2 40° 3.5 161.51 4.92 0.40 200 PM 800 254.6 40° 7.0 259.17 10.03 0.75 450 ∗These values apply only for effective lengths under 457 mm. the appropriate manufacturing tolerances for the grooves and dimensions of the measuring pulleys are given in tables 15 and 16. Care must be taken to monitor wear or damage. Other diameters may be used for the measuring pulleys providing the groove dimensions from the tables are used. Method of Measuring Ribbed belt effective length Measuring of Ribbed belt length the belt is placed over two identical measuring pulleys with a groove configuration as shown in the adjoining figure. A load is applied to the moveable pulley until the measuring force Q is exerted on the ribbed belt. the ribbed belt should be rotated at least three revolutions before measuring the drive centre distance a. Only then is the belt settled properly into the pulley grooves and exact measurements are possible. the effective length is the result of twice the centre distance a plus the effective circumference of the measuring pulley. Lb = 2 a + Ub measuring force Q [n] © Arntz OPtIBELt GrOuP, GErmAny 35 Ribbed belT Pulleys diMensions To din 7867 / iso 9982 Table 16 Profile Effective diameter db min [mm] Groove angle α ± 0.5° Groove pitch e (mm) Σ e ± 0.3 [mm] Groove depth tmin [mm] fmin [mm] hb [mm] rt min [mm] rb max [mm] 2 hs [mm] 2 δmax [mm] Ph 13 40° 1.60 (± 0.03) (z – 1) 1.60 1.33 1.3 0.80 0.15 0.30 0.11 0.69 PJ 20 40° 2.34 (± 0.03) (z – 1) 2.34 2.06 1.8 1.25 0.20 0.40 0.23 0.81 PK 45 40° 3.56 (± 0.05) (z – 1) 3.56 3.45 2.5 1.60 0.25 0.50 0.99 1.68 Pl 75 40° 4.70 (± 0.05) (z – 1) 4.70 4.92 3.3 3.50 0.40 0.40 2.36 3.50 180 40° 9.40 (± 0.08) (z – 1) 9.40 10.03 6.4 5.00 0.75 0.75 4.53 5.92 PM the diameter da may be reduced by the dimension 2 δ – 2 hs at the manufacturer’s discretion. the arc with radius rt must have an angle of at least 30° and merge tangentially with the edge of the groove. Manufacture Pulleys for optibelt RB ribbed belts are made to your specification. Cutting tools for ribbed belt pulleys are available on special request. Pulley face width b2 b2 = e (z – 1) + 2 f the difference between the diameters, measured as distance p, between the outer tangential plane of the test pin in all the grooves of a pulley must not exceed the value given in table 17. Table 17: Groove to Groove Diameter Variation tolerance for no. of grooves [mm] Pulley effective diameter [mm] ≤ 6 grooves ≤ 10 grooves Allowance for each extra groove [mm] ≤ 74 0.10 — 0.003 > 74 ≤ 500 — 0.15 0.005 > 500 — 0.25 0.010 Material All conventional easily machined material may be used, preferably steel, cast iron, aluminium alloy, brass or high strength plastics. surface finish Groove surface should have a maximum roughness rz ≤ 3.2 μm and must be free from surface defects. balancing For velocities < 30 m/s static balancing is sufficient. Dynamic balancing is necessary for velocities of ≥ 30 m/s. 36 © Arntz OPtIBELt GrOuP, GErmAny Table 18: Run Out Tolerance Effective diameter db [mm] run out tolerance tr ≤ 74 0.13 > 74 ≤ 250 0.25 > 250 0.25 + 0.0004 per mm effective diameter above 250 side wobble Tolerance the side wobble tolerance tp is 0.002 mm for each mm effective diameter. Pitch diameter the schematic illustration shows the seating of a ribbed belt in the pulley. Position of the tension cord (effective line) Ribbed Belt Pulleys Standard Range optibelt TB Taper Bushes Taper bushes with metric bores and keyways to DIN 6885 part 1 Taper Bush Material: EN-GJL-200 – DIN EN 1561 1008 1108 1210 1215 1310 1610 1615 2012 2517 3020 3030 3525 3535 4040 4545 5050 Bore diameter d2 [mm] Hexagon socket screws [inch] Torque [Nm] 10 10 11 11 14 14 14 14 11 11 12 12 16 16 16 16 12 12 14 14 18 18 18 18 14 14 16 16 19 19 19 19 15 15 18 18 20 20 20 20 16 16 19 19 22 22 22 22 18 18 20 20 24 24 24 24 19 19 22 22 25 25 25 25 20 20 24 24 28 28 28 28 22 22 25 25 30 30 30 30 24 24 28 28 32 32 32 32 25 25 30 30 35 35 35 35 28 32 32 38 38 38 40 40 40 42 42 42 45 48 50 16 25 35 35 35 40 55 18 28 38 38 38 42 60 19 30 40 40 40 45 65 20 32 42 42 42 48 70 22 35 45 45 45 50 75 24 38 48 48 48 55 80 25 40 50 50 50 60 85 28 42 55 55 55 65 90 30 45 60 60 60 70 95 32 48 65 65 65 75 100 35 50 70 70 70 80 105 38 55 75 75 75 85 110 40 60 80 80 90 42 65 85 85 95 45 70 90 90 100 48 75 50 55 60 70 75 80 85 90 95 100 105 110 115 120 125 1/ x 1/ 1/ x 1/ 3/ x 5/ 3/ x 5/ 3/ x 5/ 3/ x 5/ 3/ x 5/ 7/ x 7/ 1/ x 1 5/ x 11/ 5/ x 11/ 1/ x 11/ 1/ x 11/ 5/ x 13/ 3/ x 2 7/ x 21/ 4 2 4 2 8 8 8 8 8 8 8 8 8 8 16 8 2 8 4 8 4 2 2 2 2 8 4 4 8 4 5.7 5.7 20 20 20 20 20 31 49 92 92 115 115 172 195 275 Bush length [mm] 22.3 22.3 25.4 38.1 25.4 25.4 38.1 31.8 44.5 50.8 76.2 63.5 88.9 101.6 114.3 127.0 Weight with d2 min [≈ kg] 0.12 0.16 0.28 0.39 0.32 0.41 0.60 0.75 1.06 2.50 3.75 3.90 5.13 7.68 12.70 15.17 Over 3525: Cap head screw with hexagon socket This bore has a flat keyway. Flat Keyway for Taper Bushes Bore diameter d2 [mm] Keyway width b [mm] Keyway depth t2 [mm] Bore diameter d2 [mm] Keyway width b [mm] Keyway depth t2 [mm] 24 25 8 8 2.0 1.3 28 42 8 12 2.0 2.2 Taper bushes with inch bores and keyway to British Standard BS 46 part 1 Material: EN-GJL-200 – DIN EN 1561 Taper Bush 1008 1108 1210 1215 1310 1610 1615 2012 2517 3020 3030 3525 3535 4040 4545 5050 Bore diameter d2 [inch] Hexagon socket screws [inch] Torque [Nm] 5/8* 1/2* 1/2 1/2 5/8* 3/4 3/8* 3/8* 1/2 11/4 11/4 11/2 11/2 13/4* 21/4* 3* 1 1 5 3 5 5 5 3 7 /2 /2 /8 /4 /8* /8 /8 /4 /8 13/8 13/8 15/8 15/8 17/8* 23/8* 31/4* 5/8 3/4 7/8 3/4* 3/4 3/4 7/8 5/8 111/2 11/2 13/4 13/4 2* 21/2* 31/2* 3/4 7/8 7/8* 7/8 7/8* 3/4 1 1 11/815/8 15/8 17/8 17/8 21/8* 23/4* 33/4* 7/8 7/8 111/8 1* 1 111/8 11/4 13/4* 13/4* 2 2 21/4* 27/8*4* 1 1 1 1 1 1 3 7 7 1 1 1 11 /8 1 /4 1 /8 1 /8 1 /8 1 /4 1 /8 1 /8 1 /8 2 /8 2 /8 23/8* 3*41/4* 11/8* 11/4 11/4 11/4 11/4 13/8 11/2 2 2 21/4 21/4 21/2* 31/4*41/2* 3 3 3 1 5 1 1 1 /8 1 /8 1 /8 1 /2 1 /8 2 /8* 2 /8* 23/8 23/8 25/8* 33/8*43/4* 11/2 11/2 15/8 13/4 21/4 21/4 21/2 21/2 23/4* 31/2* 5* 15/8 15/8* 13/4 17/8 23/8 23/8 25/8 25/8 27/8* 33/4* 17/8 2 21/2 21/2 23/4 23/43* 4* 2 21/8 25/8 25/8* 27/8 27/8 31/8* 41/4* 21/4 23/4 23/4* 3 331/4* 41/2* 23/8 27/8 27/8 31/8 31/8 33/8* 21/2 3 331/4 31/4 31/2* 33/8 33/8 33/4* 31/2 31/24* 1/ x 1/ 1/ x 1/ 3/ x 5/ 3/ x 5/ 3/ x 5/ 3/ x 5/ 3/ x 5/ 7/ x 7/ 1/ x 1 5/ x 11/ 5/ x 11/ 1/ x 11/ 1/ x 11/ 5/ x 13/ 3/ x 2 7/ x 21/ 4 2 4 2 8 8 8 8 8 8 8 8 8 8 16 8 2 8 4 8 4 2 2 2 2 8 4 4 8 4 5.7 5.7 20 20 20 20 20 31 49 92 92 115 115 172 195 275 Bush length [mm] 22.3 22.3 25.4 38.1 25.4 25.4 38.1 31.8 44.5 50.8 76.2 63.5 88.9 101.6 114.3 127.0 Weight with d2 min [≈ kg] 0.12 0.16 0.28 0.39 0.32 0.41 0.60 0.75 1.06 2.50 3.75 3.90 5.13 7.68 12.70 15.17 Over 3525: Cap head screw with hexagon socket * Non-standard items This bore has a flat keyway. © Arntz OPTIBELT Group, Germany 37 Ribbed Belt Pulleys for Taper Bushes, Profile PJ Type 1 Designation No. of grooves Pulley type Material db [mm] b2 [mm] B [mm] N [mm] D [mm] TB TB TB TB TB 4 4 4 4 4 PJ PJ PJ PJ PJ 47.5 52.5 57.5 62.5 67.5 4 4 4 4 4 1 1 1 1 1 GG GG GG GG GG 47.5 52.5 57.5 62.5 67.5 13 13 13 13 13 23 23 23 23 23 23 23 23 23 23 47.5 47.5 54.0 54.0 54.0 1008 1008 1108 1108 1108 TB TB TB TB TB 4 4 4 4 4 PJ PJ PJ PJ PJ 72.5 77.5 82.5 87.5 92.5 4 4 4 4 4 1 1 1 1 1 GG GG GG GG GG 72.5 77.5 82.5 87.5 92.5 13 13 13 13 13 23 26 26 26 26 23 26 26 26 26 54.0 70.0 78.0 78.0 78.0 1108 1210 1210 1210 1210 TB TB TB TB TB 4 4 4 4 4 PJ PJ PJ PJ PJ 97.5 102.5 107.5 112.5 117.5 4 4 4 4 4 1 1 1 1 1 GG GG GG GG GG 97.5 102.5 107.5 112.5 117.5 13 13 13 13 13 26 26 26 26 26 26 26 26 26 26 78.0 85.0 85.0 85.0 85.0 1210 1610 1610 1610 1610 TB TB TB TB TB 4 4 4 4 4 PJ PJ PJ PJ PJ 122.5 127.5 137.5 152.5 162.5 4 4 4 4 4 1 1 1 1 1 GG GG GG GG GG 122.5 127.5 137.5 152.5 162.5 13 13 13 13 13 26 26 26 26 26 26 26 26 26 26 85.0 85.0 85.0 85.0 85.0 1610 1610 1610 1610 1610 TB TB TB TB TB 4 4 4 4 4 PJ PJ PJ PJ PJ 172.5 182.5 192.5 202.5 222.5 4 4 4 4 4 1 1 1 1 1 GG GG GG GG GG 172.5 182.5 192.5 202.5 222.5 13 13 13 13 13 26 26 26 33 33 26 26 26 33 33 85.0 85.0 85.0 100.0 100.0 1610 1610 1610 2012 2012 Taper bush 1008 1108 1210 1610 2012 Bore d2 [mm] from ... to ... 10-25 10-28 11-32 14-42 14-50 38 Taper bush © Arntz OPTIBELT Group, Germany GG= Cast iron Further sizes upon request. We reserve to alter specifications without notice. Bore diameters d2 see page 37. Ribbed Belt Pulleys for Taper Bushes, Profile PJ Type 1 Designation Type 4 No. of grooves Pulley type Material db [mm] b2 [mm] B [mm] N [mm] D [mm] Taper bush TB TB TB TB TB 8 8 8 8 8 PJ PJ PJ PJ PJ 47.5 52.5 57.5 62.5 67.5 8 8 8 8 8 4 4 4 4 4 GG GG GG GG GG 47.5 52.5 57.5 62.5 67.5 23 23 23 23 23 23 23 23 23 23 23 23 23 23 23 — — — — — 1008 1008 1108 1108 1108 TB TB TB TB TB 8 8 8 8 8 PJ PJ PJ PJ PJ 72.5 77.5 82.5 87.5 92.5 8 8 8 8 8 4 1 1 1 1 GG GG GG GG GG 72.5 77.5 82.5 87.5 92.5 23 23 23 23 23 23 26 26 26 26 23 26 26 26 26 — 70.0 78.0 78.0 78.0 1108 1210 1210 1210 1210 TB TB TB TB TB 8 8 8 8 8 PJ PJ PJ PJ PJ 97.5 102.5 107.5 112.5 117.5 8 8 8 8 8 1 1 1 1 1 GG GG GG GG GG 97.5 102.5 107.5 112.5 117.5 23 23 23 23 23 26 26 26 26 26 26 26 26 26 26 78.0 85.0 85.0 85.0 85.0 1210 1610 1610 1610 1610 TB TB TB TB TB 8 8 8 8 8 PJ PJ PJ PJ PJ 122.5 127.5 137.5 152.5 162.5 8 8 8 8 8 1 1 1 1 1 GG GG GG GG GG 122.5 127.5 137.5 152.5 162.5 23 23 23 23 23 26 26 26 26 26 26 26 26 26 26 85.0 85.0 85.0 85.0 85.0 1610 1610 1610 1610 1610 TB TB TB TB TB 8 8 8 8 8 PJ PJ PJ PJ PJ 172.5 182.5 192.5 202.5 222.5 8 8 8 8 8 1 1 1 1 1 GG GG GG GG GG 172.5 182.5 192.5 202.5 222.5 23 23 23 23 23 26 26 26 33 33 26 26 26 33 33 85.0 85.0 85.0 100.0 100.0 1610 1610 1610 2012 2012 Taper bush 1008 1108 1210 1610 2012 Bore d2 [mm] from ... to ... 10-25 10-28 11-32 14-42 14-50 GG = Cast iron Further sizes upon request. We reserve to alter specifications without notice. Bore diameters d2 see page 37. © Arntz OPTIBELT Group, Germany 39 Ribbed Belt Pulleys for Taper Bushes, Profile PJ Type 1 Designation Type 2 No. of grooves Pulley type Material db [mm] b2 [mm] B [mm] N [mm] D [mm] Taper bush TB TB TB TB TB 12 12 12 12 12 PJ PJ PJ PJ PJ 62.5 67.5 72.5 77.5 82.5 12 12 12 12 12 2 2 2 2 2 GG GG GG GG GG 62.5 67.5 72.5 77.5 82.5 32 32 32 32 32 32 32 32 32 32 23 23 23 26 26 50.0 50.0 50.0 62.0 62.0 1108 1108 1108 1210 1210 TB TB TB TB TB 12 12 12 12 12 PJ PJ PJ PJ PJ 87.5 92.5 97.5 102.5 107.5 12 12 12 12 12 2 2 2 2 2 GG GG GG GG GG 87.5 92.5 97.5 102.5 107.5 32 32 32 32 32 32 32 32 32 32 26 26 26 26 26 70.0 70.0 70.0 70.0 70.0 1610 1610 1610 1610 1610 TB TB TB TB TB 12 12 12 12 12 PJ PJ PJ PJ PJ 112.5 117.5 122.5 127.5 137.5 12 12 12 12 12 2 2 2 1 1 GG GG GG GG GG 112.5 117.5 122.5 127.5 137.5 32 32 32 32 32 32 32 32 32 32 26 26 26 33 33 70.0 70.0 70.0 100.0 100.0 1610 1610 1610 2012 2012 TB TB TB TB TB 12 12 12 12 12 PJ PJ PJ PJ PJ 152.5 162.5 172.5 182.5 192.5 12 12 12 12 12 1 1 1 1 1 GG GG GG GG GG 152.5 162.5 172.5 182.5 192.5 32 32 32 32 32 32 32 32 46 46 33 33 33 46 46 100.0 100.0 100.0 110.0 110.0 2012 2012 2012 2517 2517 TB 12 PJ 202.5 TB 12 PJ 222.5 12 12 1 1 GG GG 202.5 222.5 32 32 46 46 46 46 110.0 110.0 2517 2517 Taper bush 1108 1210 1610 2012 2517 Bore d2 [mm] from ... to ... 10-28 11-32 14-42 14-50 16-60 40 © Arntz OPTIBELT Group, Germany GG = Cast iron Further sizes upon request. We reserve to alter specifications without notice. Bore diameters d2 see page 37. Ribbed Belt Pulleys for Taper Bushes, Profile PJ Type 1 Designation Type 2 No. of grooves Pulley type Material db [mm] b2 [mm] B [mm] N [mm] D [mm] Taper bush TB TB TB TB TB 16 16 16 16 16 PJ PJ PJ PJ PJ 62.5 67.5 72.5 77.5 82.5 16 16 16 16 16 2 2 2 2 2 GG GG GG GG GG 62.5 67.5 72.5 77.5 82.5 41 41 41 41 41 41 41 41 41 41 23 23 26 26 26 50.0 50.0 62.0 62.0 62.0 1108 1108 1210 1210 1210 TB TB TB TB TB 16 16 16 16 16 PJ PJ PJ PJ PJ 87.5 92.5 97.5 102.5 107.5 16 16 16 16 16 2 2 2 2 2 GG GG GG GG GG 87.5 92.5 97.5 102.5 107.5 41 41 41 41 41 41 41 41 41 41 26 26 26 26 26 70.0 70.0 70.0 70.0 70.0 1610 1610 1610 1610 1610 TB TB TB TB TB 16 16 16 16 16 PJ PJ PJ PJ PJ 112.5 117.5 122.5 127.5 137.5 16 16 16 16 16 2 2 2 2 2 GG GG GG GG GG 112.5 117.5 122.5 127.5 137.5 41 41 41 41 41 41 41 41 41 41 33 33 33 33 33 85.0 85.0 85.0 85.0 85.0 2012 2012 2012 2012 2012 TB TB TB TB TB 16 16 16 16 16 PJ PJ PJ PJ PJ 152.5 162.5 172.5 182.5 192.5 16 16 16 16 16 2 2 2 1 1 GG GG GG GG GG 152.5 162.5 172.5 182.5 192.5 41 41 41 41 41 41 41 41 46 46 33 33 33 46 46 85.0 85.0 85.0 110.0 110.0 2012 2012 2012 2517 2517 TB 16 PJ 202.5 TB 16 PJ 222.5 16 16 1 1 GG GG 202.5 222.5 41 41 46 46 46 46 110.0 110.0 2517 2517 Taper bush 1108 1210 1610 2012 2517 Bore d2 [mm] from ... to ... 10-28 11-32 14-42 14-50 16-60 GG = Cast iron Further sizes upon request. We reserve to alter specifications without notice. Bore diameters d2 see page 37. © Arntz OPTIBELT Group, Germany 41 Ribbed Belt Pulleys for Taper Bushes, Profile PL Type 1 Type 2 b2 [mm] B [mm] N [mm] 78 83 88 93 98 33 33 33 33 33 33 33 33 33 33 26 62.0 26 62.0 26 70.0 26 70.0 26 70.0 1210 1210 1610 1610 1610 GG GG GG GG GG 103 108 113 118 123 33 33 33 33 33 33 33 33 33 33 26 26 26 26 33 70.0 70.0 70.0 70.0 — 1610 1610 1610 1610 2012 4 4 4 4 1 GG GG GG GG GG 133 148 158 168 178 33 33 33 33 33 33 33 33 33 46 33 33 33 33 46 — — — — 110.0 2012 2012 2012 2012 2517 6 6 6 6 6 1 1 1 1 1 GG GG GG GG GG 188 198 218 238 258 33 33 33 33 33 46 46 46 46 46 46 46 46 46 46 110.0 110.0 110.0 110.0 110.0 2517 2517 2517 2517 2517 6 6 6 6 6 1 1 1 1 1 GG GG GG GG GG 278 298 318 348 388 33 33 33 33 33 46 46 46 46 46 46 46 46 46 46 110.0 110.0 110.0 110.0 110.0 2517 2517 2517 2517 2517 Designation No. of grooves Pulley type Material TB 6 PL 78 TB 6 PL 83 TB 6 PL 88 TB 6 PL 93 TB 6 PL 98 6 6 6 6 6 2 2 2 2 2 GG GG GG GG GG TB 6 PL 103 TB 6 PL 108 TB 6 PL 113 TB 6 PL 118 TB 6 PL 123 6 6 6 6 6 2 2 2 2 4 TB TB TB TB TB 133 148 158 168 178 6 6 6 6 6 TB 6 PL 188 TB 6 PL 198 TB 6 PL 218 TB 6 PL 238 TB 6 PL 258 TB 6 PL 278 TB 6 PL 298 TB 6 PL 318 TB 6 PL 348 TB 6 PL 388 6 6 6 6 6 PL PL PL PL PL Type 4 db [mm] Taper bush 1210 1610 2012 2517 Bore d2 [mm] from ... to ... 11-32 14-42 14-50 16-60 42 © Arntz OPTIBELT Group, Germany D [mm] Taper bush GG = Cast iron Further sizes upon request. We reserve to alter specifications without notice. Bore diameters d2 see page 37. Ribbed Belt Pulleys for Taper Bushes, Profile PL Type 1 Designation Type 2 No. of grooves Pulley type Material db [mm] b2 [mm] B [mm] N [mm] D [mm] Taper bush TB TB TB TB TB 8 8 8 8 8 PL PL PL PL PL 78 83 88 93 98 8 8 8 8 8 2 2 2 2 2 GG GG GG GG GG 78 83 88 93 98 42 42 42 42 42 42 42 42 42 42 26 26 26 26 26 62.0 62.0 70.0 70.0 70.0 1210 1210 1610 1610 1610 TB TB TB TB TB 8 8 8 8 8 PL PL PL PL PL 103 108 113 118 123 8 8 8 8 8 2 2 2 2 2 GG GG GG GG GG 103 108 113 118 123 42 42 42 42 42 42 42 42 42 42 33 33 33 33 33 85.0 85.0 85.0 85.0 85.0 2012 2012 2012 2012 2012 TB TB TB TB TB 8 8 8 8 8 PL PL PL PL PL 133 148 158 168 178 8 8 8 8 8 2 2 2 2 1 GG GG GG GG GG 133 148 158 168 178 42 42 42 42 42 42 42 42 42 46 33 33 33 33 46 85.0 85.0 85.0 85.0 110.0 2012 2012 2012 2012 2517 TB TB TB TB TB 8 8 8 8 8 PL PL PL PL PL 188 198 218 238 258 8 8 8 8 8 1 1 1 1 1 GG GG GG GG GG 188 198 218 238 258 42 42 42 42 42 46 46 46 46 46 46 46 46 46 46 110.0 110.0 110.0 110.0 110.0 2517 2517 2517 2517 2517 TB TB TB TB TB 8 8 8 8 8 PL PL PL PL PL 278 298 318 348 388 8 8 8 8 8 1 1 1 1 1 GG GG GG GG GG 278 298 318 348 388 42 42 42 42 42 46 46 46 46 46 46 46 46 46 46 110.0 110.0 110.0 110.0 110.0 2517 2517 2517 2517 2517 Taper bush 1210 1610 2012 2517 Bore d2 [mm] from ... to ... 11-32 14-42 14-50 16-60 GG = Cast iron Further sizes upon request. We reserve to alter specifications without notice. Bore diameters d2 see page 37. © Arntz OPTIBELT Group, Germany 43 Ribbed Belt Pulleys for Taper Bushes, Profile PL Type 2 Designation Type 3 No. of grooves Pulley type Material db [mm] b2 [mm] B [mm] N [mm] D [mm] TB TB TB TB TB 10 10 10 10 10 PL PL PL PL PL 88 93 98 103 108 10 10 10 10 10 3 3 3 2 2 GG GG GG GG GG 88 93 98 103 108 53 53 53 53 53 53 53 53 53 53 26 26 26 33 33 70.0 70.0 70.0 85.0 85.0 1610 1610 1610 2012 2012 TB TB TB TB TB 10 10 10 10 10 PL PL PL PL PL 113 118 123 133 148 10 10 10 10 10 2 2 2 2 2 GG GG GG GG GG 113 118 123 133 148 53 53 53 53 53 53 53 53 53 53 33 33 33 33 33 85.0 85.0 85.0 85.0 85.0 2012 2012 2012 2012 2012 TB TB TB TB TB 10 10 10 10 10 PL PL PL PL PL 158 168 178 188 198 10 10 10 10 10 2 2 2 2 2 GG GG GG GG GG 158 168 178 188 198 53 53 53 53 53 53 53 53 53 53 33 33 46 46 46 85.0 85.0 105.0 105.0 105.0 2012 2012 2517 2517 2517 TB TB TB TB TB 10 10 10 10 10 PL PL PL PL PL 218 238 258 278 298 10 10 10 10 10 2 2 2 2 2 GG GG GG GG GG 218 238 258 278 298 53 53 53 53 53 53 53 53 53 53 46 46 46 46 46 105.0 105.0 105.0 105.0 105.0 2517 2517 2517 2517 2517 TB 10 PL 318 TB 10 PL 348 TB 10 PL 388 10 10 10 2 2 2 GG GG GG 318 348 388 53 53 53 53 53 53 46 46 46 105.0 105.0 105.0 2517 2517 2517 Taper bush 1610 2012 2517 Bore d2 [mm] from ... to ... 14-42 14-50 16-60 44 Taper bush © Arntz OPTIBELT Group, Germany GG = Cast iron Further sizes upon request. We reserve to alter specifications without notice. Bore diameters d2 see page 37. Ribbed Belt Pulleys for Taper Bushes, Profile PL Type 2 Designation Type 3 No. of grooves Pulley type Material db [mm] b2 [mm] B [mm] N [mm] D [mm] Taper bush TB TB TB TB TB 12 12 12 12 12 PL PL PL PL PL 88 93 98 103 108 12 12 12 12 12 3 3 3 3 3 GG GG GG GG GG 88 93 98 103 108 62 62 62 62 62 62 62 62 62 62 26 26 26 33 33 70.0 70.0 70.0 85.0 85.0 1610 1610 1610 2012 2012 TB TB TB TB TB 12 12 12 12 12 PL PL PL PL PL 113 118 123 133 148 12 12 12 12 12 3 3 3 3 2 GG GG GG GG GG 113 118 123 133 148 62 62 62 62 62 62 62 62 62 62 33 33 33 33 46 85.0 85.0 85.0 85.0 105.0 2012 2012 2012 2012 2517 TB TB TB TB TB 12 12 12 12 12 PL PL PL PL PL 158 168 178 188 198 12 12 12 12 12 2 2 2 2 2 GG GG GG GG GG 158 168 178 188 198 62 62 62 62 62 62 62 62 62 62 46 46 46 46 46 105.0 105.0 105.0 105.0 105.0 2517 2517 2517 2517 2517 TB TB TB TB TB 12 12 12 12 12 PL PL PL PL PL 218 238 258 278 298 12 12 12 12 12 2 2 2 2 2 GG GG GG GG GG 218 238 258 278 298 62 62 62 62 62 62 62 62 62 62 46 52 52 52 52 105.0 130.0 130.0 130.0 130.0 2517 3020 3020 3020 3020 TB 12 PL 318 TB 12 PL 348 TB 12 PL 388 12 12 12 2 2 2 GG GG GG 318 348 388 62 62 62 62 62 62 52 52 52 130.0 130.0 130.0 3020 3020 3020 Taper bush 1610 2012 2557 3020 Bore d2 [mm] from ... to ... 14-42 14-50 16-60 25-75 GG = Cast iron Further sizes upon request. We reserve to alter specifications without notice. Bore diameter d2 see page 37. © Arntz OPTIBELT Group, Germany 45 Ribbed Belt Pulleys for Taper Bushes, Profile PL Type 3 Designation No. of grooves Pulley type Material db [mm] b2 [mm] B [mm] N [mm] D [mm] TB TB TB TB TB 16 16 16 16 16 PL PL PL PL PL 103 108 113 118 123 16 16 16 16 16 3 3 3 3 3 GG GG GG GG GG 103 108 113 118 123 80 80 80 80 80 80 80 80 80 80 33 33 33 33 33 85.0 85.0 85.0 85.0 85.0 2012 2012 2012 2012 2012 TB TB TB TB TB 16 16 16 16 16 PL PL PL PL PL 133 148 158 168 178 16 16 16 16 16 3 3 3 3 3 GG GG GG GG GG 133 148 158 168 178 80 80 80 80 80 80 80 80 80 80 33 46 46 46 46 85.0 105.0 105.0 105.0 105.0 2012 2517 2517 2517 2517 TB TB TB TB TB 16 16 16 16 16 PL PL PL PL PL 188 198 218 238 258 16 16 16 16 16 3 3 3 3 3 GG GG GG GG GG 188 198 218 238 258 80 80 80 80 80 80 80 80 80 80 46 46 46 52 52 105.0 105.0 105.0 130.0 130.0 2517 2517 2517 3020 3020 TB TB TB TB TB 16 16 16 16 16 PL PL PL PL PL 278 298 318 348 388 16 16 16 16 16 3 3 3 3 3 GG GG GG GG GG 278 298 318 348 388 80 80 80 80 80 80 80 80 80 80 52 52 52 52 52 130.0 130.0 130.0 130.0 130.0 3020 3020 3020 3020 3020 Taper bush 2012 2557 3020 Bore d2 [mm] from ... to ... 14-50 16-60 25-75 46 Taper bush © Arntz OPTIBELT Group, Germany GG = Cast iron Further sizes upon request. We reserve to alter specifications without notice. Bore diameters d2 see page 37. Ribbed Belt Pulleys for Cylindrical Bore, Profile PJ Type VB (for cylindrical bore) Pulley type Material db [mm] b1 [mm] B [mm] D [mm] Pilot bore d [mm] Finished bore dmax [mm] Weight [≈ kg] 4 PJ 22.5 4 4 PJ 27.5 4 4 PJ 32.5 4 4 PJ 37.5 4 4 PJ 42.5 4 VB VB VB VB VB GG GG GG GG GG 22.5 27.5 32.5 37.5 42.5 13 13 13 13 13 20 20 20 20 20 25 30 35 40 45 8 8 8 8 8 12.0 14.0 18.0 20.0 22.0 0.045 0.070 0.100 0.135 0.180 8 PJ 22.5 8 8 PJ 27.5 8 8 PJ 32.5 8 8 PJ 37.5 8 8 PJ 42.5 8 VB VB VB VB VB GG GG GG GG GG 22.5 27.5 32.5 37.5 42.5 23 23 23 23 23 30 30 30 30 30 25 30 35 40 45 8 8 8 8 8 12.0 14.0 18.0 20.0 22.0 0.063 0.100 0.150 0.200 0.265 12 PJ 22.5 12 PJ 27.5 12 PJ 32.5 12 PJ 37.5 12 PJ 42.5 VB VB VB VB VB GG GG GG GG GG 22.5 27.5 32.5 37.5 42.5 32 32 32 32 32 40 40 40 40 40 25 30 35 40 45 8 8 8 8 8 12.0 14.0 18.0 20.0 22.0 0.086 0.140 0.200 0.280 0.360 Designation No. of grooves 12 12 12 12 12 GG = Cast iron Further sizes upon request. We reserve to alter specifications without notice. © Arntz OPTIBELT Group, Germany 47 design hinTs Ribbed belT Tension the correct level of belt tension is of great importance for trouble free transmission of power, and for the achievement of an acceptable belt service life. Often, tension which is either too high or too low results in early belt failure. A belt which is over tensioned sometimes causes bearing failure in the driver or driven unit. It has been shown that the more common tensioning instructions – e. g. using the “thumb pressure deflection method” – do not result in tension being obtained which would enable drives to be operated at optimum efficiency. It is therefore recommended that the required static belt tension “T” be calculated individually for every drive using the following OPtIBELt formulae. the best initial tension is the absolute minimum for a drive which permits the highest level of power transmission under consideration of the normal slip. Once the ribbed belt has been fitted and the calculated shaft load applied, the tension should be checked, using our OPtIBELt tension gauge. The belt should be observed regularly during the first few hours of service. Experience indicates that the first re-tensioning should be undertaken after running at full load for 0.5 to 4 hours to take up the initial belt stretch. After approximately 24 hours’ running, especially if the belt has not run continuously under full load conditions, the drive should be checked and, if necessary, re-tensioned. After this, maintenance intervals for the drive can then be increased considerably. In addition, our installation and maintenance instructions should be observed. Over- or undertensioning of the drive will be avoided if the belt tension is calculated, set and checked by one of the following methods: I. Checking the Belt Tension by Span Deflection this method provides an indirect measurement of the calculated or actual static belt tension. E = Belt deflection per 100 mm span length [mm] Ea = Belt deflection for a given span length [mm] f = Load used to set belt tension per rib [n] k = L = Sa = t = Constant for calculation of centrifugal force Span length minimum static shaft loading minimum static belt tension per rib 1. Calculate the static belt tension using the following formula: © Arntz OPtIBELt GrOuP, GErmAny 500 · (2.03 – c1) · PB + k · v2 c1 · z · v t≈ the drive should initially be tensioned to a maximum of 1.3 T (initial tensioning). 2. Determine E – the deflection per 100 mm length – from the belt tension characteristics as given in diagram 2, page 49. 3. Calculate Ea – the deflection for a given span length – for the actual drive span length L: Ea ≈ L E·L 100 = anom · sin β 2 Apply load f* using the value from Diagram 2 at right angles to the span at its centre point, as shown in the figure below. Measure the deflection and adjust if necessary until the correct belt tension is achieved. ∗ When choosing the load to set belt tension f, the number of ribs must be taken into consideration. span 48 [mm] [n] [n] Design Hints Ribbed Belt Tension Diagram 2: Ribbed Belt Tension Graphs Profile k E = Belt deflection per 100 mm span length [mm] PH PJ PK f [N] (per rib) 0.005 3.0 0.009 5.0 0.020 7.5 T = Minimum static belt tension per rib [N] Profile k E = Belt deflection per 100 mm span length [mm] PL PM 0.036 0.123 f [N] (per rib) 10.0 25.0 T = Minimum static belt tension per rib [N] © Arntz OPTIBELT Group, Germany 49 Design Hints Ribbed Belt Tension II. Checking the Ribbed Belt Tension with a “Length Addition Value” It has become evident that span deflection methods are not always the ideal checking procedures for ribbed belts. The following very easy method for determining the belt tension is therefore recommended: 1.Calculate the static belt tension “T”. 500 · (2.03 – c1) · PB T ≈ + k · v2 c1 · z · v 2.The outside length La of the ribbed belt should be measured on the top surface with the belt slack prior to fitting it to the drive. Measurement may also be carried out on the drive itself, but without tension. 3.Calculate the length addition value “A” by using the formula: A≈LbSt · R Example: PB= 23.4 kW c1= 1.0 v = 16.6 m/s Drive specification with 1 optibelt RB ribbed belt 12 PL 1075 500 · (2.03 – 1.0) · 23.4 T ≈ + 0.036 · 16.62 ≈ 70 N 1.0 · 12 · 16.6 When fitted for the first time, the tension should be multiplied by a factor of 1.3. T ≈ 1.3 · 70 ≈ 91 N Length measured on the back of the belt whilst slack La = 1100 mm A≈ 1075 · 0.00264 ≈ 3 mm R =Stretch factor from table 19, page 51 4.This length addition value “A” should then be added to the measured outside length (from step 2). La∗ ≈ La + A 5.The ribbed belt should then be tensioned until the outside length La∗ calculated in step 4 is obtained. The belt tension will then be correct. 6.If the drive is to be retensioned, the ribbed belt must first be slackened off so that it can be measured in a stress free condition. The procedure as detailed in steps 4 and 5 is then repeated. Tighten the belt until the length measured around the outside is 1103 mm. The belt is then correctly tensioned. III.Checking the Ribbed Belt Tension by Measurement of the Static Shaft Loading A very accurate method for the setting of the correct belt tension is by direct measurement of the static shaft loading using the formula: β Sa ≈ 2 T · sin · z 2 This checking method does, however, call for specialised measuring instruments. 50 © Arntz OPTIBELT Group, Germany La∗ ≈ 1100 + 3 = 1103 mm Design Hints Ribbed Belt Tension Table 19: Stretch Factor R for optibelt RB Ribbed Belts T = Minimum static belt tension per rib [N] Profile PH PJ PK PL 15 20 25 30 35 0.00155 0.00207 0.00263 0.00331 0.00407 0.00090 0.00130 0.00168 0.00206 0.00248 0.00065 0.00077 0.00066 0.00080 40 45 50 55 60 0.00500 0.00600 0.00700 0.00831 0.00958 0.00300 0.00348 0.00406 0.00459 0.00522 0.00093 0.00114 0.00136 0.00160 0.00192 0.00094 0.00109 0.00127 0.00142 0.00160 0.00062 0.00072 65 70 75 80 85 0.01085 0.01229 0.01356 0.01500 0.01636 0.00580 0.00644 0.00715 0.00786 0.00863 0.00223 0.00254 0.00280 0.00312 0.00346 0.00175 0.00191 0.00212 0.00228 0.00242 0.00079 0.00087 0.00098 0.00101 0.00111 90 95 100 120 140 0.01780 0.01924 0.02070 0.02644 0.00949 0.01021 0.01106 0.01469 0.01849 0.00377 0.00411 0.00445 0.00572 0.00693 0.00261 0.00277 0.00297 0.00369 0.00437 0.00120 0.00124 0.00135 0.00159 0.00190 0.02229 0.00820 0.00949 0.01095 0.00509 0.00580 0.00651 0.00735 0.00811 0.00219 0.00249 0.00279 0.00314 0.00340 0.00849 0.00356 0.00373 0.00405 0.00438 0.00518 160 180 200 220 240 250 260 280 300 350 PM 400 440 460 480 500 0.00598 0.00674 0.00706 0.00742 0.00772 520 540 560 580 600 0.00814 0.00850 0.00889 0.00929 0.00968 620 640 660 680 700 0.01004 0.01036 0.01076 0.01116 0.01156 720 0.01196 Intermediate values can be calculated by linear interpolation. © Arntz OPTIBELT Group, Germany 51 Design Hints Technical Aids Frequency Tension Gauge optibelt TT MINI S The optibelt TT mini frequency tension tester is used to check the tension of drive belts by measuring their frequency of vibration. Due to its compact design, this frequency tension tester offers universal application possibilities for drives in engineering, in the automotive industry and for many other technical applications. The TT MINI S can be used even in places that are especially difficult to access. It can be used for quick and easy measurement of the tension of V-belts, kraftbands, ribbed belts and timing belts. In addition, the TT MINI S offers further advantages: • Indication in Hertz [Hz] • L arge measuring range from 10 to 600 Hz •E asy to measure with repeatable accuracy •S mall, compact design (the size of a mobile phone) •A utomatic switch-off function •P recise factory calibration and CE certification The device is ready to use straight away after switching on. Set the tensioned belt in vibratory motion by striking with a finger or an object. Hold the measuring head over the belt to be tested. The TT MINI S starts to take readings and shows the results in Hertz (Hz). The type, condition and colour of the belt do not influence readings as an acoustic measuring principle is used. Calculation of Static Belt Tension Formula: T = 4 · k · L2 · f2 T ≙ Static belt tension [N] k ≙ Weight per metre [kg/m] L ≙ Belt span length [m] f ≙ Frequency [Hz] Technical Data Display: LCD, 2 lines Range of measurement: 10 to 600 Hz Measuring accuracy: 10-400 Hz +/– 1 % > 400 Hz +/– 2 % Resolution: 10-99.9 Hz 0.1 Hz > 100 Hz 1 Hz Sensor: acoustic, with electronic suppression of noice interference Power supply: Batteries 2 x 1 micro (AAA) Power consumption: max. 12 mA Operation time: > 48 hour continuous measurement (depending on the quality of the batteries used), automatic switch-off after 5 minutes Dimensions: 110 mm x 50 mm x 25 mm Weight: ≤ 100 g Testing: CE certification, factory calibration Accessories: Batteries, pouch 52 © Arntz OPTIBELT Group, Germany design hinTs Technical aids fRequency Tension gauge optibelt TT oPTical The optibelt TT oPTical frequency tension tester is used to check the tension of drive belts by measuring their frequency of vibration. Due to its compact design, this newly developed gauge offers universal application possibilities for drives in engineering, in the automotive industry and for many other technical applications. It can be used for quick and easy measurement of the tension of V-belts, kraftbands, ribbed belts and timing belts. In addition, the TT oPTical offers further advantages: • Easy to use • Measuring range from 5 Hz to 500 Hz • Compact dimensions • Maximum reliability • High accuracy of measurement • Readings not influenced by ambient noise • Factory calibrated • CE certified the device is ready to use straight away after switching on. the tensioned belt is set in vibratory motion by striking with a finger or an object. Hold the measuring head over the belt to be tested. The TT OPtICAL starts to take readings and shows the results in Hertz (Hz). Technical daTa display: LCD, 2 lines Range of measurement: 5 Hz to 500 Hz Measuring accuracy: < 10 Hz = 0.5 Hz > 10 Hz = 1.0 Hz sensor: optical, with sensor Power supply: 9V block battery operation time/switch-off function: > 48 hour continuous measurement (depending on the quality of the batteries used), automatic switch-off after 2 minutes dimensions: 170 mm x 45 mm x 30 mm weight: ≤ 100 g Testing: CE certification, RoHs, precise factory calibration accessories: Battery © Arntz OPtIBELt GrOuP, GErmAny 53 design hinTs deTeRMining The sTaTic shafT loading / shafT loading undeR dynaMic condiTions In order to prevent premature bearing failure, shaft fracture or over engineered bearings and shafts, it is recommended that the dynamic axial force be calculated exactly. this is the only way to determine the stresses to which these components are exposed in the prime mover and driven machines. In the case of two pulley drives, the driver and driven shafts or bearings are subject to the same dynamic axial force, but in opposite directions. When tension or guide pulleys are incorporated, the magnitude and direction of the axial force are almost always different on each pulley. If the magnitude and direction of the dynamic axial force is to be determined, a graphical solution using the force parallelogram for the dynamic forces in the tight side S1 and slack side S2 is recommended. If only the magnitude of the dynamic axial force is to be determined, this can be achieved using the formula “Sa dyn”. Both methods are illustrated by the following example. Details of the calculation example given on pages 22 to 24: PB = 23.4 kW c1 = 1.0 v = 16.6 m/s β = 175° dynamic tight side loading during belt operation S1 ≈ 1030 · PB c1 · v S1 ≈ 1030 · 23.4 ≈ 1452 n 1.0 · 16.6 S2 ≈ 1000 · (1.03 – 1.0) · 23.4 ≈ 42 n 1.0 · 16.6 Dynamic slack side loading during belt operation S2 ≈ 1000 · (1.03 – c1) · PB c1 · v a) solution using the formula for sa dyn dynamic axial force Sa dyn ≈ S12 + S22 – 2 S1 · S2 · cosβ b) graphical solution 54 © Arntz OPtIBELt GrOuP, GErmAny Sa dyn ≈ 14522 + 422 – 2 · 1452 · 42 · (– 0.99619) ≈ 1494 n Design Hints Length tolerances – Installation and Maintenance – to ISO 9982 Table 20: Length Tolerances Effective length Lb [mm] > 200 ≤ 500 > 500 ≤ 750 > 750 ≤ 1000 > 1000 ≤ 1500 > 1500 ≤ 2000 > 2000 ≤ 3000 Profile PH Profile PJ Profile PK Profile PL Profile PM Tolerance [mm] Tolerance [mm] Tolerance [mm] Tolerance [mm] Tolerance [mm] + 4 – 8 + 5 – 10 + 6 – 12 + 8 – 16 + 10 – 20 + 12 – 24 + 4 – 8 + 5 – 10 + 6 – 12 + 8 – 16 + 10 – 20 + 12 – 24 + 4 – 8 + 5 – 10 + 6 – 12 + 8 – 16 + 10 – 20 + 12 – 24 > 3000 ≤ 4000 > 4000 ≤ 6000 + 6 – 12 + 8 – 16 + 10 – 20 + 12 – 24 + 15 – 30 + 20 – 40 + – + – + – 12 24 15 30 20 40 Installation and Maintenance Geometrically correct designing and power rating of drives with optibelt RB ribbed belts ensures long belt life and a high degree of operating safety. Since practice has shown that premature failure can very often be traced to faulty installation or maintenance, we recommend that you follow the installation and maintenance instructions listed below. •Ribbed belt tension Once the calculated axial force has been applied, the tension of the ribbed belts should be checked using our tension gauges and the methods described on pages 48 to 51. The belt should be observed regularly during the first few hours of service. Experience has shown that the belt will need re-tensioning after between 0.5 and 4 hours at full load to take up the initial belt stretch. • Safety Before commencing any maintenance work, ensure that all machine components are safely positioned and cannot be altered whilst the work is in progress. It is also important that the manufacturer’s safety instructions are carefully followed. • Tension/guide idlers Where possible, the use of tension and guide idlers should be avoided. If this is not possible, refer to the notes on pages 33 to 34 of this manual and follow any instructions given. • Pulleys The grooves must be in good condition, free from scoring, sharp edges or rust and all dimensions should conform to the relevant standard. •Alignment Shafts and pulleys should be correctly aligned prior to belt installation. We recommend a maximum tolerance of 0.5° in both planes. • Maintenance It is recommended that ribbed belt drives should be regularly inspected. This should include checking and, if necessary, correcting the tension. Suitable guards must be provided to prevent the intrusion of foreign bodies such as stones, swarf or other material between the pulley and the belt. optibelt RB ribbed belts do not require any special care. Belt dressing (belt wax and spray) should not be used under any circumstances. • Installation of ribbed belts The centre distance should be reduced prior to the installation of ribbed belts so that they may be fitted in the grooves without undue force. Forcing ribbed belts over the pulley flanges with a tyre lever, screwdriver or the like, must be avoided as the damage this causes to the ribs and low-stretch tension members is often not visible. © Arntz OPTIBELT Group, Germany 55 Design Hints Ribbed Belt Widths Table 21 Number of ribs z Profile PH [mm] Profile PJ [mm] Profile PK [mm] Profile PL [mm] Profile PM [mm] 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 3.20 4.80 6.40 8.00 9.60 11.20 12.80 14.40 16.00 17.60 19.20 20.80 22.40 24.00 25.60 27.20 28.80 30.40 32.00 33.60 35.20 36.80 38.40 40.00 41.60 43.20 44.80 46.40 48.00 4.68 7.02 9.36 11.70 14.04 16.38 18.72 21.06 23.40 25.74 28.08 30.42 32.76 35.10 37.44 39.78 42.12 44.46 46.80 49.14 51.48 53.82 56.16 58.50 60.84 63.18 65.52 67.86 70.20 7.12 10.68 14.24 17.80 21.36 24.92 28.48 32.04 35.60 39.16 42.72 46.28 49.84 53.40 56.96 60.52 64.08 67.64 71.20 74.76 78.32 81.88 85.44 89.00 92.56 96.12 99.68 103.24 106.80 9.40 14.10 18.80 23.50 28.20 32.90 37.60 42.30 47.00 51.70 56.40 61.10 65.80 70.50 75.20 79.90 84.60 89.30 94.00 98.70 103.40 108.10 112.80 117.50 122.20 126.90 131.60 136.30 141.00 18.80 28.20 37.60 47.00 56.40 65.80 75.20 84.60 94.00 103.40 112.80 122.20 131.60 141.00 150.40 159.80 169.20 178.60 188.00 197.40 206.80 216.20 225.60 235.00 244.40 253.80 263.20 272.60 282.00 Ribbed belts with more than 30 ribs should be divided. A space of one rib should be maintained between two ribbed belts. 56 © Arntz OPTIBELT Group, Germany Design Hints Problems – Causes – Remedies Problem Causes Remedies Excessive wear of ribs Belt tension too low Check belt tension and correct Ingress of foreign body during running Fit an effective guard Pulley misalignment Re-align pulleys Faulty pulleys Re-machine or replace pulleys Wrong belt or pulley profile Belt and pulley profiles must be correctly matched Belt rubbing or catching on protruding parts Remove any parts that are in the way; re-align drive Drive stalled Ascertain cause and put it right Drive overloaded Check drive conditions and re-dimension Contamination with oil, grease or chemicals Protect drive from environmental influences Outside idler pulley in use whose position and size is not as recommended Follow OPTIBELT recommendations, e.g. increase pulley size; replace with inside idler on the slack side of the drive Pulley diameter too small Re-design using recommended minimum pulley diameters Excessive exposure to heat Remove or shield from heat source; ensure good ventilation Excessive exposure to cold Warm belt before start up Abnormal belt slip Re-tension drive according to installation instructions; check drive design and modify if necessary Chemical influences Shield drive Ribbed belt breakage shortly after fitting (belt torn) Rib breakage and cracks (brittleness) © Arntz OPTIBELT Group, Germany 57 Design Hints Problems – Causes – Remedies Problem Causes Remedies Severe belt vibration Drive undersized Check drive design and modify if necessary Drive centre distance significantly longer than recommended Shorten centres, use an inside idler on the belt slack side High shock loading Use an inside idler on the slack side Belt tension too low Correct belt tension Unbalanced pulleys Balance pulleys Ribbed belts cannot be re-tensioned Excessive running noise Ribbed belt swelling and softening Insufficient allowance for centre distance Modify drive to allow for the OPTIBELT in drive design recommended take-up Excessive stretch caused by overloaded drive Carry out drive calculation and re-design Incorrect belt length Use a shorter belt Poor pulley alignment Align pulleys Belt tension too low or too high Check belt tension Drive overloaded Check drive design and modify if necessary Contamination with oil, grease or chemicals Protect drive from source of contamination Clean pulleys with cleaning solvent or benzene before fitting new ribbed belts! Please contact our Applications Engineering Department in the case of other faults. Please give us as much technical information as possible to assist us with replying to your query. 58 © Arntz OPTIBELT Group, Germany design hinTs addiTional Range optibelt TT Mini s For quick and easy measurement of the tension of V-belts, kraftbands, ribbed belts and timing belts. Equipped with a flexible goose neck for easy measuring in difficult to access areas. optibelt TT oPTical For quick and easy measurement of the tension of V-belts, kraftbands, ribbed belts and timing belts. The type, condition and colour of the belt do not influence readings as an optical measuring principle is used. optibelt laseR PoinTeR ii an indispensable aid for belt drives the user-friendly optibelt LASEr POIntEr II is a device of proven value, especially for everyday use. the optibelt LASER POINTER II makes it easier to align belt drives. It also helps to determine the most common causes of drive failures: • Axial misalignment of the pulley • Horizontal angular misalignment • Vertical angular misalignment oPTibelT Pulley gRoove gauges Belts and pulleys can be quickly and effortlessly identified with these groove gauges. they also enable pulley groove edges to be tested for angular deviation and wear. © Arntz OPtIBELt GrOuP, GErmAny 59 Data Sheet for Drive Calculation/Checking . . Company Street/PO Box Postcode/zip code; town Administrator DepartmentDate Tel. ( ) Email Fitted with: For trials New drive For pilot series For production series Requirement________ belts/year Pieces Existing drive Prime Mover Type Profile Number of ribs Manufacturer Driven Machine (e.g. electric motor, diesel engine 3 cyl.) Size of starting load Method of starting Effective length _______________________________ (e.g. starting load = 1.8 normal load) (e.g. star delta) Operation hours per day Type ___________________ (e.g. lathe, compressor) _________________________________________ Start:loaded unloaded __________________________________ _____________ _____________________________ Number of starts______________ per hour per day Rotational reverses____________ per minute per hour Nature of load: constant pulsating shock Power: P normal_________________________________________kW Load: P normal___________________________________kW P maximal________________________________________kW P maximal__________________________________kW or max. torque____________________ Nm at n1 _______________ rpm or max. torque____________________ Nm at n2 _______________ rpm Speed of driver pulley n1 __________________________________ rpm Speed of driven pulleyn2 __________________________________ rpm Position of shafts: horizontal vertical n2 min _______________________________ rpm angled <)______________________ ° n2 max _______________________________ rpm Maximum allowed static shaft loading Sa max ___________________ N Maximum allowable static shaft loading Sa max _________________ N Effective or outside diameter of driver pulley: Effective or outside diameter of driven pulley: db1 db2 ________________________________________________mm ________________________________________________mm db1 min ________________________________________________mm db2 min ________________________________________________mm db1 max________________________________________________mm db2 max________________________________________________mm Pulley face width b2 max _____________________________________mm Pulley face width b2 max _____________________________________mm Speed ratio i ___________________ imin ____________ imax __________________ Drive centre distance a ________________ mmamin _________ mmamax ______________ mm_ Tension/guide idler pulley:insid in drive slack side outside in drive tight side db _______________ mm ribbed pulley moveable da _______________ mm flat pulley Drive Conditions: Ambient temperature (e.g. spring loaded) _________ _________________________________ °C/F min. fixed _________________________________ °C/F max. Exposure to oil (e.g. oil mist, droplets) water (e.g. spray) _____________________________ acid (type, concentration, temperature) dust (type) ____________________________________ ______________________ _______________________________________ Special conditions: Where the drive has inside or outside idler pulleys, three or more driven pulleys or counter-rotating shafts then a drawing or any other relevant information should be submitted. 60 © Arntz OPTIBELT Group, Germany Drive Details: © Arntz OPTIBELT Group, Germany 61 Notes 62 © Arntz OPTIBELT Group, Germany Notes © Arntz OPTIBELT Group, Germany 63 Notes Owner of any and all copyrights and intellectual property rights as well as other rights of use and exploitation: Arntz OPTIBELT Group, Höxter/Germany. Any use, exploitation, reproduction, and any transfer to third parties by any means shall require the prior written approval of the Arntz OPTIBELT Group, Höxter/Germany. Print: 414771/0513Hux 64 © Arntz OPTIBELT Group, Germany OPTIBELT GmbH 37671 Höxter T +49 (0) 52 71- 6 21 F +49 (0) 52 71- 97 62 00 GErmAny E info @ optibelt.com Corveyer Allee 15 www.optibelt.com