-0.0005 0 0.0005 0.001 0.0015 0.002 0.0025 0.003 0.0035 0.004 0.00450.0

100.0

200.0

300.0

400.0

500.0

600.0

Exemple 4-2 du livre de M. Paultre

Déformation

Fo

rce

(kN

)

Fissuration

Limité à la plastification de l'acier

Exemple 4-2 Réponse d'un tirant en béton armé en tenant compte du raidissement en traction

Section :Long. 250 mmLarg. 250 mmAire : 62500 mm²

Hauteur 2000 mm

AcierNombre 4

No 20Aire : 1200 mm²

Fy: 470 MPaE 200000 MPa

Béton :Aire béton 61300

f'c 38.9 MPaEc 27482 MPa Eq 8.6 (Module Sécant)

Ect 30230 MPa 1,1*Ec (Module Tangeant)fsp 2.83 MPafcr 2.55 MPa (eq. 2.29)

-0.00030.000084

Epsilon'c -0.00257Epsilon y -0.00235

fc fs Nc = Ac*fc Ns = As*fs Nmm MPa MPa kN kN kN

-0.0002656 0.0000344 -0.0003 1.04 -53.1 63.7 -63.7 0.0-0.0002158 0.0000842 -0.0002 2.55 -43.2 156.0 -51.8 104.2-0.0002000 0.0001000 -0.0002 2.08 -40.0 127.6 -48.0 79.6-0.0001000 0.0002000 -0.0001 1.94 -20.0 118.6 -24.0 94.60.0000000 0.0003000 0.0000 1.84 0.0 112.5 0.0 112.50.0005000 0.0008000 0.0005 1.56 100.0 95.6 120.0 215.60.0010000 0.0013000 0.0010 1.41 200.0 86.4 240.0 326.40.0015000 0.0018000 0.0015 1.31 300.0 80.1 360.0 440.10.0020000 0.0023000 0.0020 1.23 400.0 75.3 480.0 555.30.0020459 0.0023459 0.0020 1.22 409.2 75.0 491.0 564.00.0021000 0.0024000 0.0021 1.22 420.0 74.5 504.0 564.00.0025000 0.0028000 0.0025 1.17 470.0 71.5 564.0 564.00.0030000 0.0033000 0.0030 1.11 470.0 68.3 564.0 564.00.0035000 0.0038000 0.0035 1.07 470.0 65.6 564.0 564.00.0040000 0.0043000 0.0040 1.03 470.0 63.3 564.0 564.0

e_sh e_cr

e = e_c = e_s e_cf = e_c - e_sh e_sf = e_s

Nombre Barres Aire1 10 1002 15 2003 20 3004 25 5005 30 7006 35 10007 45 15008 55 25009

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