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Tuchschmid-WALM® Têtes de poinçonnement - Debrunner Acifer

Tuchschmid-WALM® Têtes de poinçonnement - Debrunner Acifer

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E x e m p l e <strong>de</strong> calc ul<br />

6 . 2 C o l o nne int é r i e u r e, d a lle pré c o n t r a int e<br />

6.2.1 Vale urs initia le s<br />

B é ton C 25/30 ⇒ τc =1.00 N /mm 2<br />

G r a nulomé trie m a xi D m a x =32 ⇒ k D m a x =1<br />

A c ie r àbé ton B 500B f s d =435 N /mm 2<br />

⇒ k fs =1<br />

D a lle 360 mm ⇒ d =320 mm<br />

Taux d ’a rma ture ρ =1.0% ( a rma ture p a ssiv e )<br />

E space m e nt <strong>de</strong>s c olonne s 8 m<br />

D ime nsion <strong>de</strong>s c olonne s 300 x300 mm<br />

Vale ur <strong>de</strong> d ime nsionne m e nt<br />

„réac tion d ’a ppui“ A d =2800 k N (introd u c tion <strong>de</strong> lach a rge <strong>de</strong> lada lle da ns<br />

lacolonne )<br />

P r écontra int e 4x3torons Ø 15.7 mm p a r d irection ( ban <strong>de</strong>s d ’a ppui)<br />

Section <strong>de</strong> toron A p =150 mm 2<br />

Résista n ce à la traction f pk =1770 N /mm 2<br />

I n c lin a ison <strong>de</strong>s câb le s <strong>de</strong><br />

précontr a inte β P =5°<br />

P r écontra int eàl’insta nt t=∞ ≅ 0.9⋅<br />

A ⋅ 0.7⋅<br />

f ⋅ 4 ⋅ 3 pour c h a que direction<br />

6.2.2 P rocéd ure<br />

P ∞<br />

P pk<br />

P ≅ 0.9 ⋅ 150 ⋅ 0.7 ⋅ 1.770 ⋅ 4 ⋅ 3 =<br />

∞<br />

2007 k N / R ic htung<br />

Le f act e ur 0.9 tie nt c ompte approxima tive m e nt <strong>de</strong>s pe rte s <strong>de</strong><br />

précontr a inte p a rre tra it, flua g eetre la x a tion.<br />

Le calc ul s edistingu e<strong>de</strong>ce lui d 'une da lle av ec a rma tur e p a ssive en <strong>de</strong>ux points:<br />

• P our la sollic ita tion, on calc ule la v a le ur <strong>de</strong> d ime nsionne m e nt <strong>de</strong> l’e ffort tr a n c h a nt e n<br />

soustr a y a nt l’e ffe tpositif <strong>de</strong> la précontr a inte . La d iminution c orr e spond àla somm e<strong>de</strong> toute s<br />

le sforces <strong>de</strong> dévia tion a u-<strong>de</strong>ssus <strong>de</strong> la surface d’introd u c tion <strong>de</strong> lach a rge .(a rt. 4.3.6.2.2)<br />

• P our la r é sista n ce, le mome nt <strong>de</strong> c omp a r a ison m 0 d p e ut être r e mplacé p a rla v a le ur m 0 d –<br />

m Pd.<br />

D o c ume nta tion TUC HSC HMID - W A LM ® (se pte m b r e 2007) 2 5

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