Etat limite ultime
Mémoire : Etat limite ultime. Rechercher de 53 000+ Dissertation Gratuites et MémoiresPar Hakim Khald • 12 Février 2020 • Mémoire • 10 556 Mots (43 Pages) • 737 Vues
CALCUL DES STRUCTURES ACIER
----------------------------------------------------------------------------------------------------------------------------------------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------------------
FAMILLE:
PIECE: 1 Barre_1 POINT: 3 COORDONNEE: x = 1.00 L = 4.50 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 3 EFF /1/ 1*1.33 + 2*1.50
----------------------------------------------------------------------------------------------------------------------------------------
MATERIAU:
ACIER E24 fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------
[pic 1] PARAMETRES DE LA SECTION: RONDE creux 1
ht=21.9 cm
Ay=41.17 cm2 Az=41.17 cm2 Ax=82.34 cm2
ea=1.3 cm Iy=4400.24 cm4 Iz=4400.24 cm4 Ix=8800.48 cm4
Wely=401.71 cm3 Welz=401.71 cm3
----------------------------------------------------------------------------------------------------------------------------------------
CONTRAINTES: SigN = 13.83/82.34 = 1.68 MPa
SigFy = 6.85/401.72 = 17.04 MPa
SigFz = 0.04/65685.28 = 0.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------
[pic 2] PARAMETRES DE DEVERSEMENT:
----------------------------------------------------------------------------------------------------------------------------------------
PARAMETRES DE FLAMBEMENT:
[pic 3] en y: [pic 4] en z:
Ly=4.50 m Muy=325.59 Lz=4.50 m Muz=325.59
Lfy=4.50 m k1y=1.00 Lfz=4.50 m k1z=1.00
Lambda y=61.56 kFy=1.00 Lambda z=61.56 kFz=1.00
----------------------------------------------------------------------------------------------------------------------------------------
FORMULES DE VERIFICATION:
k1*SigN + kFy*SigFy + kFz*SigFz = 1.00*1.68 + 1.00*17.04 + 1.00*0.00 = 18.80 < 235.00 MPa (3.731)
1.54*Tauy = |1.54*-0.00| = |-0.00| < 235.00 MPa (1.313)
1.54*Tauz = |1.54*-0.93| = |-1.43| < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------------------
Profil correct !!!
CALCUL DES STRUCTURES ACIER
----------------------------------------------------------------------------------------------------------------------------------------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------------------
FAMILLE:
PIECE: 2 Barre_2 POINT: 3 COORDONNEE: x = 0.50 L = 1.75 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 3 EFF /1/ 1*1.33 + 2*1.50
----------------------------------------------------------------------------------------------------------------------------------------
MATERIAU:
ACIER E24 fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------
[pic 5] PARAMETRES DE LA SECTION: HEB 200
ht=20.0 cm
bf=20.0 cm Ay=60.00 cm2 Az=18.00 cm2 Ax=78.08 cm2
ea=0.9 cm Iy=5696.18 cm4 Iz=2003.37 cm4 Ix=59.51 cm4
es=1.5 cm Wely=569.62 cm3 Welz=200.34 cm3
----------------------------------------------------------------------------------------------------------------------------------------
CONTRAINTES: SigN = 3.83/78.08 = 0.49 MPa
SigFy = 5.56/569.62 = 9.76 MPa
SigFz = 0.01/200.34 = 0.06 MPa
----------------------------------------------------------------------------------------------------------------------------------------
[pic 6] PARAMETRES DE DEVERSEMENT:
----------------------------------------------------------------------------------------------------------------------------------------
PARAMETRES DE FLAMBEMENT:
[pic 7] en y: [pic 8] en z:
Ly=3.50 m Muy=2513.41 Lz=3.50 m Muz=883.98
Lfy=3.50 m k1y=1.00 Lfz=3.50 m k1z=1.00
Lambda y=40.98 kFy=1.00 Lambda z=69.10 kFz=1.00
----------------------------------------------------------------------------------------------------------------------------------------
FORMULES DE VERIFICATION:
k1*SigN + kFy*SigFy + kFz*SigFz = 1.00*0.49 + 1.00*9.76 + 1.00*0.06 = 10.31 < 235.00 MPa (3.731)
1.54*Tauy = |1.54*-0.01| = |-0.01| < 235.00 MPa (1.313)
1.54*Tauz = |1.54*-14.60| = |-22.48| < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------------------
Profil correct !!!
CALCUL DES STRUCTURES ACIER
----------------------------------------------------------------------------------------------------------------------------------------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------------------
FAMILLE:
PIECE: 3 Barre_3 POINT: 1 COORDONNEE: x = 0.00 L = 0.00 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 3 EFF /1/ 1*1.33 + 2*1.50
----------------------------------------------------------------------------------------------------------------------------------------
MATERIAU:
ACIER E24 fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------
[pic 9] PARAMETRES DE LA SECTION: RONDE creux 1
ht=21.9 cm
Ay=41.17 cm2 Az=41.17 cm2 Ax=82.34 cm2
ea=1.3 cm Iy=4400.24 cm4 Iz=4400.24 cm4 Ix=8800.48 cm4
Wely=401.71 cm3 Welz=401.71 cm3
----------------------------------------------------------------------------------------------------------------------------------------
CONTRAINTES: SigN = 12.10/82.34 = 1.47 MPa
SigFy = 6.82/401.74 = 16.99 MPa
...