Information - Binderholz
Transcription
Information - Binderholz
Information Calcolo e progetto strutturale di costruzioni in legno XLAM Dimensionamento Basi per il calcolo strutturale e la costruzione secondo gli Eurocodici L’XLAM, materiale innovativo per elementi portanti, apre le porte a nuove applicazioni nella costruzione di strutture di legno. Questa guida vuole essere uno strumento per valorizzarlo e sfruttarlo in modo corretto in fase di progettazione e di esecuzione. Il materiale piano “XLAM” – definito spesso anche “BSP” oppure “CLT” – è prima di tutto descritto in relazione alla sua produzione. In seguito vengono presi in considerazione gli aspetti più importanti del dimensionamento, come la descrizione del comportamento meccanico, e del comportamento in caso di incendio, con i relativi modelli e valori di riferimento secondo il concetto di sicurezza strutturale degli Eurocodici. Nella parte centrale del capitolo dedicato ai collegamenti vengono analizzate le viti per il legno autoforanti e gli aspetti più generali della costruzione in legno. Conclude la parte generale e teorica una sezione dedicata alla controventatura e all‘irrigidimento degli edifici, oltre alla sicurezza sismica. Alcuni esempi concreti permettono di applicare in modo semplice i contenuti di questa guida e di stimolare la discussione e lo sviluppo di ulteriori modelli strutturali, anche più complessi. DI Dr. Markus Wallner-Novak DI Josef Koppelhuber DI Kurt Pock proHolz Austria Novembre 2014 isbn 978-3-902926-07-4 | Euro 35 XLAM Dimensionamento Basi per il calcolo strutturale e la costruzione secondo gli Eurocodici Editrice e redazione proHolz Austria Ente austriaco per la promozione del legno Presidente Hans Michael Offner Direttore Georg Binder Project Management Alexander Eder 1011 Vienna⁄ Austria Uraniastrasse 4 T + 43 (0)1 ⁄ 712 04 74 [email protected], www.proholz.at Merk Timber GmbH D-86551 Aichach Industriestraße 2 T + 49 (0)8251 ⁄ 908 - 0 [email protected] www.merk.de Hasslacher Norica Timber A-9751 Sachsenburg Feistritz 1 T + 43 (0)4769 ⁄ 2249 - 0 [email protected] www.hasslacher.at Grafica Cover Gassner Redolfi, Schlins (at) Reinhard Gassner, Marcel Bachmann Impaginazione dei contenuti, Markus Wallner-Novak Stampa Eberl Print, Immenstadt (de) 1a edizione in lingua tedesca: 2013 Pubblicazione con il supporto di: Binderholz Bausysteme GmbH A-5400 Hallein Solvay-Halvic-Straße 46 T + 43 (0)6245 ⁄ 70 500 - 556 [email protected] www.binderholz-bausysteme.com Haas Fertigbau Holzbauwerk GesmbH & Co kg A-8263 Großwilfersdorf Radersdorf 62 T + 43 (0)3385 ⁄ 666 - 0 [email protected] www.haas-fertigbau.at Mayr-Melnhof Holz Holding ag A-8700 Leoben, Turmgasse 67 T + 43 (0)3842 ⁄ 300 - 0 [email protected] www.mm-holz.com Stora Enso Building and Living A-9462 Bad St. Leonhard Wisperndorf 4 T + 43 (0)4350 ⁄ 2301 - 3207 buildingsolutions@ storaenso.com www.clt.info Fachverband der Holzindustrie Österreichs A-1037 Wien Schwarzenbergplatz 4 T + 43 (0)1 ⁄ 712 26 01 [email protected] www.holzindustrie.at Autori DI Dr. Markus Wallner-Novak DI Josef Koppelhuber DI Kurt Pock 1a edizione in lingua italiana: 2014 Traduzione contenuti: promo_legno, Milano Lettorato: Renata Bernardini, Milano isbn 978-3-902926-07-4 Prezzo: Euro 35 (IVA esclusa) Stampato su carta certificata pefc. Questo prodotto proviene da fonti controllate e da foreste gestite in maniera sostenibile. www.pefc.it Copyright 2014 di proHolz Austria e degli autori. Tutti i diritti riservati. L’uso di questo materiale senza l’esplicita autorizzazione dell’editore è proibito e perseguibile penalmente. Prefazione La costruzione in legno è stata caratterizzata negli ultimi cento anni da un’enorme evoluzione. Sia gli elementi costruttivi che i materiali hanno visto un costante sviluppo. Il legno, o meglio la singola tavola o lamella, rappresenta la base per la realizzazione del legno lamellare, dei pacchetti di tavole e dell’XLAM. Proprio questo materiale relativamente “nuovo” – i pannelli di legno massiccio incollati a strati incrociati XLAM – il cui impiego sistematico, anche sul piano economico, è iniziato circa venti anni fa, è un materiale da costruzione apparentemente semplice. E’composto da lamelle, classificate secondo la resistenza e incollate fra loro in un numero dispari di strati sovrapposti e ruotati di 90° uno rispetto all’altro. Nasce così un pannello apparentemente omogeneo. Una considerazione ingegneristica più approfondita rivela però la complessità di questo materiale da costruzione. Si tratta di un materiale composito, ortotropo, stratificato ortogonalmente, a base di legno, con basi di calcolo complesse. “Si devono vedere le cose nel modo più semplice possibile. Ma non più semplice di così” (Albert Einstein, 1879 – 1955) Questa guida intende essere uno strumento nelle mani dei progettisti, degli studi di ingegneria e degli esecutori, per poter effettuare i calcoli tecnici necessari per la progettazione e l’applicazione dell’XLAM. Un’attenzione particolare è rivolta alle funzioni strutturali e costruttive dell’XLAM quale elemento portante e alle esigenze che ne derivano. Sono state elaborate proposte costruttive per la giunzione dei pannelli XLAM. La guida al calcolo permette ai progettisti esecutivi un approccio semplice e rapido al materiale da costruzione XLAM, poiché le verifiche strutturali necessarie sono descritte alla luce dei relativi modelli ingegneristici e accompagnati da esempi pratici e concreti. Questa guida è stata redatta dall’ingegner DI Dr. Markus Wallner-Novak e dai suoi coautori, gli ingegneri DI Josef Koppelhuber e DI Kurt Pock con molta accuratezza e precisione. L’ingegnere vi potrà trovare le risposte alle domande fondamentali sul calcolo dell’XLAM. Tutto questo fa della guida uno strumento fondamentale per l’applicazione pratica dell’XLAM. Wilhelm Luggin, strutturista, Austria Nota all’edizione in lingua italiana ll testo in lingua italiana è per principio la fedele traduzione del testo originale tedesco, senza modifiche sul piano dei contenuti. Il testo di questa guida si basa quindi sulla situazione normativa attualmente in vigore in Austria, che riflette l’applicazione delle regole contenute negli Eurocodici e nei rispettivi documenti applicativi nazionali austriaci di riferimento. Tutto questo riguarda sia gli aspetti relativi alla parte ingegneristica del calcolo e delle verifiche strutturali, sia quelli dell’omologazione dei prodotti per uso strutturale. In alcuni casi il testo fa riferimento alle indicazioni e prescrizioni contenute in alcune norme DIN, in vigore e comunemente accettate in diversi paesi Europei. L’applicazione in Italia dell’XLAM, come per tutti i prodotti per uso strutturale e per le strutture portanti in genere, è regolamentata dai relativi documenti legislativi italiani, primo fra tutti il DM08 e i documenti cui lo stesso DM08 fa riferimento. I riferimenti alla situazione normativa nazionale italiana e le basi di applicazione di queste prescrizioni sono contenuti per esempio nella documentazione edita da promo_legno e valida quale documentazione didattica per i corsi sull’impiego e sul calcolo strutturale dei pannelli XLAM. Questi documenti sono disponibili sul sito www.promolegno.com La versione italiana della guida contiene in alcuni punti chiave del testo il riferimento a questi documenti come spunto di approfondimento indispensabile al lettore interessato all’applicazione strutturale dell’XLAM in Italia. promo_legno Per la promozione della cultura del legno. www.promolegno.com ΖQKDOW ΖQGLFH 'HILQL]LRQL &DUDWWHULPLQXVFROL &DUDWWHULPDLXVFROLHDEEUHYLD]LRQL 'HILQL]LRQHGHOSURGRWWR *HQHUDOLW¢ &RPSRUWDPHQWRVWUXWWXUDOH &ROOHJDPHQWL 8OWHULRULLQGLFD]LRQL 0DUFDWXUDHGHVFUL]LRQHGHOOHVWUDWLJUDILHVWDQGDUGL]]DWH %DVLSHULOFDOFROR &RQFHWWRGLGLPHQVLRQDPHQWR 9DORULQRPLQDOLGHOPDWHULDOH &RHIILFLHQWLSDU]LDOLSHULFDULFKL &RHIILFLHQWLSDU]LDOLGLVLFXUH]]DSHULOPDWHULDOH &RHIILFLHQWLGLGHIRUPD]LRQH 9DORULVH]LRQDOL 7UDYH9DORULVH]LRQDOLQHWWL 7UDYLȂYDORULVH]LRQDOLHIIHWWLYL (IIHWWRGLSLDVWUDELGLPHQVLRQDOH /DVWUH 9DORULOLPLWHGHOODUHVLVWHQ]D 6LWXD]LRQLGLFDOFROR 7UD]LRQHQHOSLDQRGHOSDQQHOOR 7UD]LRQHQHOODGLUH]LRQHWUDVYHUVDOH 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ΖQHU]LD9DORUHHIIHWWLYRVFRUULPHQWR Ζ HI = Q E ⋅ GL + L = ¦ Q ¦ƀ L = L ⋅ )RUPXOD (L ⋅ E ⋅ GL ⋅ DL (F 'LUH]LRQH VHFRQGDULD 'LVWDQ]H 6H]LRQHVLPPHWULFD D = G G + + = PP D = D = PP D = )DWWRUL*DPPD ƀ = ƀ = § ¨ + ƍ ⋅ ( ⋅ E ⋅ G ⋅ G ¨ E ⋅ *5 A UHI © · ¸ ¸ ¹ § · ƍ ⋅ ⋅ y ¨+ ¸ ⋅ ¨ ¸ ⋅ © ¹ = (VHPSLGLDSSOLFD]LRQHȂ%DVL 6H]LRQHVLPPHWULFD ƀ = ƀ = § ⋅ · ¸ + ⋅ ⋅ ⋅ ⋅ Ζ HI = ⋅ ¨ ¨ ¸ © ¹ ( ) Ζ HI = + = FP 6H]LRQH;/$0FRQPDWHULDOHDEDVHGLOHJQRVXXQODWR 'DWR (OHPHQWR;/$0%63/VFRQXQRVWUDWRSRUWDQWHLQFROODWRVXXQODWRVWUDWLIL FDWRGLSLDOODFFL)6+PP 6WUDWLJUDILDOȂZȂOȂZȂOȂ)6+O &ODVVHGLUHVLVWHQ]DGLWXWWLJOLVWUDWL& 3URSULHW¢GHLPDWHULDOL 0RGXORHODVWLFR(PHDQ 1PPt 0RGXORGLWDJOLRWUDVYHUVDOH*5PHDQ 1PPt 3URSULHW¢GHOORVWUDWRGLPDWHULDOHGLVWUDWLILFDWRGLSLDOODFFL 0RGXORHODVWLFR(PHDQ 1PPt /XQJKH]]DGLULIHULPHQWRSHULOFDOFRORVHFRQGRLOPHWRGR*DPPD A UHI = P &HUFDWR 9DORULVH]LRQDOLSHUODUHVLVWHQ]DHO DWWLWXGLQHDOVHUYL]LR 9DORULVH]LRQDOLSHUODUHVLVWHQ]D (VHPSLGLDSSOLFD]LRQHȂ%DVL 3RVL]LRQHGHOEDULFHQWUR Q (L ¦( L = ]6 = F Q L = )RUPXOD (L ¦( ⋅ $L ⋅ RL ⋅ $L F 7DEHOODGLFDOFROR (L GL (F ⋅ $L (L RL (F ⋅ $L ⋅ RL L E (F = E ⋅ GL >FP@ >Ȃ@ >FP@ >FPt@ >FP@ >FPu@ D E 6RPPD ]6 = (L = FP ΖQHU]LD9DORUHQHWWRULJLGR ΖQHW = ( L E ⋅ GL ⋅ + L = F Q ¦( Q (L ¦( L = F )RUPXOD ⋅ E ⋅ GL ⋅ DL 7DEHOODGLFDOFROR (L ⋅ $L (F L Ζ SURSULD DL = RL − ] V >FPt@ >FP@ = E ⋅ GL >FPϺ@ (L ⋅ $L ⋅ DL (F >FPϺ@ Ȃ Ȃ D E 6RPPD ΖQHW = + = FP 0RPHQWLUHVLVWHQWL :QHW L = Ζ QHW ]L %RUGRVXSHULRUHGHOO ;/$0 ]EVS R = D − :QHW EVS R = G = − − = − FP = − FPu − )RUPXOD (VHPSLGLDSSOLFD]LRQHȂ%DVL %RUGRLQIHULRUHGHOO ;/$0 ]EVS X = DD + :QHW EVS X = GD = + = FP = FPu %RUGRLQIHULRUHGHOSDQQHOORGLVWUDWLILFDWR G E = + = FP = = FPu ] IVK X = DE + :QHW IVK X 'HWHUPLQD]LRQHGHOOHWHQVLRQLSHULOSDQQHOORGLVWUDWLILFDWRFRQVLGHUDQGRLOPRGXOR HODVWLFR Ɛ IVK X = (L 0 ⋅ (F :QHW IVK X 0RPHQWRVWDWLFR7DJOLRWUDVYHUVDOH 6 5 QHW = 5 (L ¦( L = F ⋅ $L ⋅ D L )RUPXOD 6 5 QHW = $ ⋅ D + $ ⋅ D 65 QHW = ⋅ + ⋅ = FP (VHPSLGLDSSOLFD]LRQHȂ%DVL 9DORULVH]LRQDOLSHUORVWDWRGLVHUYL]LR ΖQHU]LD9DORUHHIIHWWLYRVFRUULPHQWR Ζ HI = Q ¦Ζ SURSULDL Q ¦γ + L = L )RUPXOD ⋅ $L ⋅ DL 'LUH]LRQH L = VHFRQGDULD 3DUWH*OLVWUDWLDGLDFHQWLFRQPHGHVLPRRULHQWDPHQWR DHEFRQVLGHUDWLFRPHXQRVWUDWRXQLFR 6XSHUILFLHSDU]LDOH $ = ( ( D ⋅ $D + E ⋅ $E (F (F $ = ⋅ + ⋅ = FP 'LVWDQ]DSDUWH ( ( D ⋅ $D ⋅ DD + E ⋅ $E ⋅ DE (F (F D = $ D = ⋅ ⋅ = FP ⋅ ⋅ + ΖQHU]LDSURSULDSDUWH Ζ SURSULD = º ª E ⋅ GE º ( ( D ª E ⋅ GD ⋅« + $D ⋅ (DD − D ) » + E ⋅ « + $E ⋅ (D E − D ) » ( F ¬« ¼» ( F ¬« ¼» ª ⋅ º + ⋅ ( − ) » + Ζ SURSULD = ⋅ « ¬« ¼» ª ⋅ º ⋅« + ⋅ ( − ) » ¬« ¼» Ζ SURSULD = + + ⋅ [ + ] = + = FP )DWWRUL*DPPD ƀ = ƀ = § ¨ + ƍ ⋅ ( ⋅ E ⋅ G ⋅ G ¨ E ⋅ *5 A UHI © · ¸ ¸ ¹ = · § ƍ ⋅ ⋅ y ¸ ¨+ ⋅ ¨ ⋅ ¸¹ © ƀ = ƀ = § ¨ + ƍ ⋅ ( Q ⋅ $ ⋅ G ¨ E ⋅ *5 AUHI © · ¸ ¸ ¹ )RUPXOD (VHPSLGLDSSOLFD]LRQHȂ%DVL ƀ = ΖHI = = · § ƍ ⋅ y( + ) ¨+ ¸ ⋅ ¨ ⋅ ¸¹ © Q ¦Ζ L = HLJHQ L + Q ¦ƀ ⋅ $ ⋅ D L = L L L )RUPXOD ΖHI = + + + ⋅ ⋅ + ⋅ ⋅ + ⋅ ⋅ ΖHI = + + + = FP (VHPSLGLDSSOLFD]LRQHȂ%DVL 6H]LRQHGRSRLQFHQGLR 'DWR (OHPHQWR;/$0/V 6WUDWLJUDILDOȂZȂOȂZȂO &ODVVHGLUHVLVWHQ]DGLWXWWLJOLVWUDWL& 3URSULHW¢GHOPDWHULDOH 0RGXORHODVWLFR ( PHDQ = 1PP 0RGXORGLWDJOLRWUDVYHUVDOH *5 PHDQ = 1PP &RPSRUWDPHQWRDOIXRFRDPPHVVRYHORFLW¢GLFDUERQL]]D]LRQHLGHQWLFDSHU WXWWLJOLVWUDWL 9HORFLW¢GLFDUERQL]]D]LRQH ſ = PP PLQ 5HVLVWHQ]DLQFHQGLRULFKLHVWD5VXXQODWRGDOEDVVR &HUFDWR 9DORULVH]LRQDOLSHUODYHULILFDDOORVWDWROLPLWHXOWLPRLQFDVRG LQFHQGLR 6H]LRQHUHVLGXD 3URIRQGLW¢GLFDUERQL]]D]LRQHHIIHWWLYD GHI = GFKDU + NG &DUERQL]]D]LRQH GFKDU = ſ ⋅G GFKDU = ⋅ = PP =RQDGLSLUROLVL N G = PP GHI = + = PP (VHPSLGLDSSOLFD]LRQHȂ%DVL 9DORULVH]LRQDOLSHUODYHULILFDDOORVWDWROLPLWHXOWLPRLQFDVRG LQFHQGLR 3RVL]LRQHGHOEDULFHQWUR Q (L ¦( L = F Q ]6 = ⋅ $L ⋅ RL (L ¦( L = )RUPXOD ⋅ $L F 7DEHOODGLFDOFROR (L ⋅ $L (F (L ⋅ $L ⋅ RL (F L E = E ⋅ GL >FP@ >Ȃ@ >FP@ >FPt@ >FP@ >FPu@ RL 6RPPD ]6 = GL (L (F = FP ΖQHU]LD9DORUHQHWWRULJLGR Ζ QHW = Q (L ¦( L = ⋅ F E ⋅ G L + Q (L ¦( L = F )RUPXOD ⋅ E ⋅ G L ⋅ D L 7DEHOODGLFDOFROR (L ⋅ $L (F DL = RL − ] V >FPt@ >FP@ L Ζ HLJHQ = E ⋅ GL >FPϺ@ (L ⋅ $L ⋅ DL (F >FPȼ@ 6RPPD ΖQHW = + = FP 0RPHQWLUHVLVWHQWL :QHW L = Ζ QHW ]L %RUGRVXSHULRUHGHOO ;/$0 ]R = − ] V = − FP :QHW R = = − FPu − (VHPSLGLDSSOLFD]LRQHȂ%DVL %RUGRLQIHULRUHGHOO ;/$0 ( ) ] X = G IL − ] V = G − G HI − ] V = ( − ) − = FP :QHW X = = FPu 0RPHQWRVWDWLFR7DJOLRWUDVYHUVDOH 65 QHW = 5 (L ¦( L = F ⋅ $L ⋅ DL )RUPXOD 65 QHW = $ ⋅ D 65 QHW = ⋅ = FP 'LVWULEX]LRQHGHOOHWHQVLRQL / LQHU]LDHIIHWWLYD ΖHI ªQHFHVVDULDVROWDQWRSHUOHYHULILFKHDOORVWDWRGLVHUYL]LRHTXLQGL QRQªGHWHUPLQDWDSHUODVH]LRQHLQFDVRGLLQFHQGLR (VHPSLGLDSSOLFD]LRQHȂ%DVL 6H]LRQH;/$0FRQVWUDWL 'DWR (OHPHQWR;/$0/V 6WUDWLJUDILDOȂZȂOȂZȂOȂZȂO &ODVVHGLUHVLVWHQ]DGLWXWWLJOLVWUDWL& 3URSULHW¢GHLPDWHULDOL 0RGXORHODVWLFR ( PHDQ = 1PP 0RGXORGLWDJOLRWUDVYHUVDOH *5 PHDQ = 1PP /XQJKH]]DGLULIHULPHQWRSHULOFDOFRORVHFRQGRLOPHWRGR*DPPD A UHI = P &HUFDWR 9DORULVH]LRQDOLSHUODUHVLVWHQ]DHO DWWLWXGLQHDOVHUYL]LR 9DORULVH]LRQDOLSHUODUHVLVWHQ]D 3RVL]LRQHGHOEDULFHQWUR Q ]6 = (L ¦( L = F ⋅ E ⋅ G L ⋅ RL Q (L ⋅ E ⋅ GL ( L = F ¦ 7DEHOODGLFDOFROR (L ⋅ $L (F (L ⋅ $L ⋅ RL (F L E = E ⋅ GL >FP@ >Ȃ@ >FP@ >FPt@ >FP@ >FPu@ RL 6RPPD ]6 = GL (L (F = PP 6H]LRQHVLPPHWULFD ]6 = K (VHPSLGLDSSOLFD]LRQHȂ%DVL ]6 = = PP ΖQHU]LD9DORUHQHWWRULJLGR ΖQHW = (L E ⋅ GL ⋅ + L = ( F Q ¦ Q (L ¦( L = F ⋅ E ⋅ GL ⋅ DL 7DEHOODGLFDOFROR (L ⋅ $L (F L Ζ SURSULD DL = RL − ] V >FPt@ >FP@ >FPȼ@ >FPȼ@ Ȃ Ȃ 0RPHQWRUHVLVWHQWH ΖQHW PD[{]R ]X } :QHW = ]R = ]X = ] V = PP = FP 0RPHQWRVWDWLFR7DJOLRWUDVYHUVDOH 65 QHW = 5 (L ¦( L = Q ⋅ $L ⋅ D L 6 5 QHW = $ ⋅ D + $ ⋅ D 65 QHW = ⋅ + ⋅ = FP ΖQHW = + = FP E ⋅ GL 6RPPD :QHW = = (L ⋅ $L ⋅ DL (F (VHPSLGLDSSOLFD]LRQHȂ%DVL 9DORULVH]LRQDOLSHUORVWDWRGLVHUYL]LR ΖOPHWRGR*DPPDDOODUJDWR 3HUOHVH]LRQLFRQROWUHVWUDWLGHYHHVVHUHXVDWRLOPHWRGR*DPPDDOODUJDWRVHFRQGR6FKHOOLQJΖ YDORULƀQRQVRQRSL»RWWHQLELOLWUDPLWHXQVLVWHPDGLHTXD]LRQLOLQHDULULVROYLELOHLQXQDIRUPXOD FRPHLQGLFDWRQHOO DSSHQGLFH$ [9 ] ⋅ ƀ = V 0DWULFH 0DWULFHGHLFRHIILFLHQWL [9 ] −& ⋅ D ª π ($ º «& + & + » ⋅ D A ¼ ¬ −& ⋅ D ª π ($ º «& + & + » ⋅ D A ¼ ¬ −& ⋅ D ª π ($ º «& + » ⋅ D A ¼ ¬ −& ⋅ D −& ⋅ D ª π ($ º & + « » ⋅ D A ¼ ¬ −& ⋅ D 3DUWHGHVWUD V −& ⋅ D −& ⋅ D + & ⋅ D −& ⋅ D + & ⋅ D & ⋅ D 7DEHOODGLFDOFROR L M E (L (F GLM >PP@ >Ȃ@ >PP@ * MN DL = E ⋅ GL ƍ ( ⋅ $L (L ⋅ $L (F ȟ MN & MN = E ⋅ * M N G M N A >PP@ >1PP@ >1PPt@ >PP@ >1PPt@ >PPt@ Ȃ Ȃ (VHPSLGLDSSOLFD]LRQHȂ%DVL 0DWULFHFRQLYDORULQXPHULFR 0DWULFHGHLFRHIILFLHQWL [9 ] Ȃ Ȃ Ȃ Ȃ Ȃ [9 ] ⋅ ƀ = V ƀ = [9 ]− ⋅ V ƀ ƀ ƀ ƀ ƀ ΖQHU]LD Ζ HI = E ⋅ G L + L = Q ¦ Q ¦ƀ L = L ⋅ (L ⋅ E ⋅ G L ⋅ D L (F ΖHI = ⋅ + ⋅ ( ⋅ + ⋅ ) ΖHI = + = FP 'LVWULEX]LRQHGHOOHWHQVLRQL 6ROX]LRQHGHOVLVWHPDGLHTXD]LRQL V 3DUWHGHVWUD (VHPSLGLDSSOLFD]LRQHȂ6ROHWWH 6ROHWWH 6ROHWWDVXGXHFDPSDWH 'DWR 6ROHWWDGLDELWD]LRQH A = P A = P &ODVVHGLVHUYL]LR (VLJHQ]DLQFHQGLR5GDXQODWR $]LRQL &DULFRDFFLGHQWDOH QN = N1P &DWHJRULD$ &DULFKLSHUPDQHQWL J N = N1P /DUJKH]]DGHOODVROHWWD E = P &HUFDWR 'LPHQVLRQDPHQWRSHUODUHVLVWHQ]DHSHUORVWDWRGLVHUYL]LR &DOFROR 3UHGLPHQVLRQDPHQWR G = ÷ → G = ÷ PP FRQ A = A A 6H]LRQHVFHOWD;/$0/VOȂOȂZȂOȂZȂOȂO $]LRQLHFRHIILFLHQWL JN J N QN * 1$ N1 P ƀ GXUDWD N PRG SHUPDQHQWH PHGLD ƕ Ȃ ƕ ƕ Ȃ Ȃ 3HVRSURSULR J N ≈ Ǝ PHDQ ⋅ $EUXWWR = NJ P ⋅ FP ⋅ FP ⋅ − = N1 P 6RPPDGHLFDULFKLSHUPDQHQWL J N = J N + J N = + = N1 P (VHPSLGLDSSOLFD]LRQHȂ6ROHWWH 9DORULVH]LRQDOL 5HVLVWHQ]D 0RPHQWRUHVLVWHQWH :QHW = FP $UHDHTXLYDOHQWHSHUODYHULILFDDWDJOLR $Ƒ 5 QHW = ⋅ Ζ QHW ⋅ E 6 5 QHW = FP $WWLWXGLQHDOVHUYL]LR $FDXVDGHOOHFDPSDWHQRQXJXDOLVLRWWHQJRQRGHOOHLQHU]LHHIIHWWLYHGLYHUVH&RQXQUDS SRUWRGLOXQJKH]]H A PD[ A PLQ ≤ VLSX´DPPHWWHUHDIDYRUHGLVLFXUH]]D Ζ HI SHU A UHI A UHI = ⋅ = P 7DEHOODGHOOH ΖHI = FP VH]LRQL 3HULWHUD]LRQHQHOODWDEHOODGLFDOFROR A UHI = P ΖHI = FP A UHI = P ΖHI = FP ( PHDQ = 1 PPt /DVH]LRQHVRVWLWXWLYDSHULOFDOFRORFRQXQSURJUDPPDGLFDOFRORGLWUDYL EHIK FPFRQ EHI = ΖHI Ζ QHW 6IRU]LLQWHUQL 0RPHQWR 0RPHQWRPDVVLPRVXOO DSSRJJLR% 0 J N = − N1P 0 Q N = − N1P 0 Q N = − N1P &RPELQD]LRQHGHWHUPLQDWHSHUODVLWXD]LRQHUDUD ( ) 0 G = ƀ * ⋅ 0 J N + ƀ 4 0 QN + 0 Q N 0G = ⋅ (− ) + ⋅ (− − ) 0 G = − − = − N1P N PRG = )RU]DGLWDJOLR )RU]DGLWDJOLRPDVVLPDVXOO DSSRJJLR% 9 J N = N1 9Q N = N1 9Q N = N1 (VHPSLGLDSSOLFD]LRQHȂ6ROHWWH &RPELQD]LRQHGHWHUPLQDQWHSHUODVLWXD]LRQHUDUD ( ) 9G = ƀ * ⋅ 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6WHLQPHW]'LHWHU'LH$XVVWHLIXQJYRQ+RO]K¦XVHUQDP%HLVSLHOGHV+RO]UDKPHQEDXHVLQ%DXHQPLW 6LOO\ +RO]1U6 7HLELQJHUHWDO 7HLELQJHU0DUWLQXQG)ORULDQ(KUOLFK%HPHVVXQJVUHJHOQI¾U%UHWWVSHUUKRO]EDXWHLOHLP%UDQGIDOO )DFKEHLWUDJDOV0DQXVNULSWGHU9HUIDVVHU:LHQ+RO]IRUVFKXQJ$XVWULD 7HLELQJHUXQG0DW]LQJHU 7HLELQJHU0DUWLQXQGΖUPJDUG0DW]LQJHU*UXQGODJHQ]XU%HZHUWXQJGHV)HXHUZLGHUVWDQGHV YRQ+RO]NRQVWUXNWLRQHQ:LHQ+RO]IRUVFKXQJ$XVWULD 7HLELQJHUXQG0DW]LQJHU 7HLELQJHU0DUWLQXQGΖUPJDUG0DW]LQJHU%DXHQPLW%UHWWVSHUUKRO]LQ*.XQG*.3OD QXQJVEURVFK¾UH:LHQ+RO]IRUVFKXQJ$XVWULD 9'Ζ 9'Ζ%ODWW/DGXQJVVLFKHUXQJDXI6WUD¡HQIDKU]HXJHQ=XUUNU¦IWH :DOWHUXQG)ULW]HQ :DOWHU%XUNKDUGXQG.ODXV)ULW]HQ(UGEHEHQEHDQVSUXFKXQJEHL+RO]WUDJZHUNHQ LQ%DXHQPLW+RO]1U61U6Ȃ :DOWKHUXQG:LHVHQN¦P :DOWKHU%XUNKDUGXQG7RELDV:LHVHQN¦PSHU1DFKZHLVGHU(UGEHEHQVLFKHUKHLWYRQ+RO]JH SIHU E¦XGHQ$DFKHQ6WXGLHQJHPHLQVFKDIW+RO]OHLPEDXH9 'RZQORDGXQWHU ZZZEUHWWVFKLFKWKRO]GHSXEOLVKELQDU\GDWDDNWXHOOHVQDFKZHLVBHUGEHEHQVLFKHUKHLWBKRO]JHEDHXGH SGI :LQWHUHWDO :LQWHU6WHIDQ+HLQULFK.UHX]LQJHUXQG3HWHU0HVWHN+RO]EDXGHU=XNXQIW7HLOSURMHNW )O¦FKHQDXV%UHWWVWDSHOQ%UHWWVSHUUKRO]XQG9HUEXQGNRQVWUXNWLRQHQ5HLKH+RO]EDXIRUVFKXQJ >%DQG@6WXWWJDUW)UDXQKRIHUΖ5%9HUODJ Valori sezionali per stratigrafie di pannelli XLAM standard – solette e coperture Definizioni Stratigrafia I0,net W0,net SR,net AR, I0,ef / ref 2,00 m [cm4] [cm3] [cm3] [cm2] 3,00 m )/( 4,00 m 5,00 m [cm4] 6,00 m 7,00 m [–] XLAM 130 C5s 30l–20w–30l– 20w–30l 15.675 86 % 2.412 1.500 1.567 11.990 65 % 13.778 75 % 14.546 79 % 14.932 82 % 15.151 83 % 15.287 83 % 0,193 XLAM 150 L5s 30l–30w–30l– 30w–30l 22.275 79 % 2.970 1.800 1.856 15.186 54 % 18.422 65 % 19.924 71 % 20.709 74 % 21.163 75 % 21.447 76 % 0,184 XLAM 160 L5s 40l–20w–40l– 20w–40l 30.400 89 % 3.800 2.400 1.900 21.680 64 % 25.741 75 % 27.580 81 % 28.529 84 % 29.074 85 % 29.414 86 % 0,208 XLAM 220 L7s 40l–20w–40l– 20w–40l–20w–40l 74.196 84 % 6.739 4.800 2.319 43.594 49 % 56.360 64 % 62.921 71 % 66.530 75 % 68.676 77 % 70.042 79 % 0,217 XLAM 220 L7s2 30l–30l–30w–40l– 30w–30l–30l 80.933 91 % 7.358 4.800 2.529 42.978 48 % 57.680 65 % 65.856 74 % 70.550 80 % 73.412 83 % 75.260 85 % 0,188 Valori sezionali per stratigrafie di pannelli XLAM standard – pareti Definizioni XLAM 90 C3s Stratigrafia 30l–30w–30l A0,net SR,net AR, W0,net [cm2] [cm4] [cm3] [cm3] [cm2] 2,50 m 2,95 m 3,00 m 4,00 m 5,00 m 6,00 m [–] 600 5.850 1.300 900 975 5.120 2,92 86 40l–40w–40l 1.600 1.300 11.083 11.737 11.796 12.613 13.035 13.277 0,155 3,72 3,83 3,84 3,97 4,04 4,07 67 77 78 101 124 147 1.560 1.050 1.114 6.532 3,30 76 15.675 2.412 1.500 1.567 13.088 13.722 13.778 14.546 14.932 15.151 3,81 3,90 3,91 4,02 4,07 4,10 66 76 77 99 123 146 0,193 1.800 1.856 17.130 4,36 57 0,184 800 13.867 2.311 96 % XLAM 100 C3s 30l–40w–30l 600 7.800 94 % XLAM 130 C5s 30l–20w–30l– 20w–30l 900 86 % XLAM 150 C5s 30l–30w–30l– 30w–30l 900 22.275 2.970 79 % Stratigrafia dei pannelli XLAM contenuti in questa guida con i valori sezionali e di dimensionamento per il caso della sollecitazione a flessione monoassiale con e senza sbandamento, secondo le indicazioni contenute nei capitoli 5 e 6. Le stratigrafie contenute in questa guida sono standard e sono state definite indipendentemente da quelle offerte dai diversi produttori. Le tabelle rappresentano una possibile determinazione dei valori sezionali per il dimensionamento secondo le indicazioni di questa guida. I diversi produttori mettono a disposizione i valori sezionali delle stratigrafie specifiche da loro prodotte. )/( ref 96 % XLAM 120 C3s I0,ef [cm4]/i0,ef [cm]/ [–] I0,net Inet Ibrut A0,net I0,net W0,net SR,net AR, Ð I0,ef i0,ef ref )/( 5.305 2,97 99 6.843 3,38 87 5.321 2,98 101 6.871 3,38 89 5.539 3,04 132 7.247 3,48 115 5.647 3,07 163 7.436 3,52 142 5.707 3,08 195 7.543 3,55 169 18.314 18.422 19.924 20.709 21.163 4,51 4,52 4,71 4,80 4,85 65 66 85 104 124 0,155 0,152 Area – netta nella direzione dello strato esterno (direzione portante principale) in cm2 Momento d’inerzia – netto nella direzione dello strato esterno (direzione portante principale) in cm4 Momento resistente – netto nella direzione dello strato esterno (direzione portante principale) in cm3 Momento statico – netto nella direzione dello strato esterno (direzione portante principale) in cm3 Area equivalente per il calcolo della tensione di taglio trasversale determinante in cm2 Momento d’inerzia – Valore effettivo nella direzione dello strato esterno (direzione portante principale) in cm4 Raggio d’inerzia – Valore effettivo nella direzione dello strato esterno (direzione portante principale) in cm Lunghezza di riferimento (lunghezza di libera inflessione) in m Snellezza Coefficiente di taglio per il calcolo dell’elemento trasversale con scorrimento a taglio