GOUVERNORAT DE TUNIS

NOTE DE CALCUL DE LA COUVERTURE EN CHARPENTE

METALLIQUE SIDI HSSINE SUPPORTANT 90 PANNEAUX

NOVEMBRE 2023
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Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

SOMMAIRE
I. INTRODUCTION ............................................................................................................................................... 3

II. VERIFICATION DE LA STRUCTURE..................................................................................................................... 4

II.1. CONTRAINTES ...................................................................................................................................................................................... 4

II.2. FLECHES ............................................................................................................................................................................................... 5
II.3. DEPLACEMENTS ................................................................................................................................................................................... 6

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Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

I. DESCRIPTION DE LA STRUCTRURE :
Il s’agit d’une couverture en charpente métallique composé par des poteaux en IPE160
ancré sur des poteaux en béton armé lié entre eux par des traverses en IPE160 lié par des
pannes en IPE100 contreventé par des cornières en CAE 40x4
.

Vue 3D

Vue 2D

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II. VERIFICATION DE LA STRUCTURE

Charges agissantes sur la structure :
Poids propre de la structure généré automatiquement par Robot
35 kg /m2 pour Tôle + les panneaux photovoltaïques avec le système de fixation.

Vent -généré par le logiciel : Vent région (2) 70 kpa.

Contraintes

Diagramme des contraintes maximales

Tableau des contraintes maximales

La contrainte maximale σ= 180.19 Mpa < 235 Mpa =>VERIFIEE

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Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

Flèches
Diagramme de déformation des barres

Tableau des flèches maximales

Suivant toutes les combinaisons, la flèche maximale est de 4.80 cm suivant l’axe vertical Z de la
barre 23.
Cette barre est une traverse de 9.94 m de longueur.
La flèche maximale de cette traverse est : 994 / 200 = 4.90cm > 4.80 cm. => VERIFIEE

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Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

Déplacements
Diagramme de déplacement des nœuds

Tableau des déplacements maximaux

Suivant toutes les combinaisons, le déplacement maximal est de 4.50 cm suivant l’axe verticalZ du
nœud 54.
Cette barre est une traverse de 9.94 m de longueur.
La flèche maximale de cette traverse est : 994 / 150 = 6.63 cm > 4.50 cm. => VERIFIEE

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Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

Vérification de la résistance des barres

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Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------------------
FAMILLE:
PIECE: 6 Poteau_6 POINT: 1 COORDONNEE: x = 0.00 L = 0.00 m
----------------------------------------------------------------------------------------------------------------------------- -----------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /26/ 1*1.00 + 2*1.00 + 10*1.75
----------------------------------------------------------------------------------------------------------------------------------------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE LA SECTION: IPE 160

ht=16.0 cm
bf=8.2 cm Ay=12.14 cm2 Az=8.00 cm2 Ax=20.09 cm2
ea=0.5 cm Iy=869.29 cm4 Iz=68.31 cm4 Ix=3.62 cm4
es=0.7 cm Wely=108.66 cm3 Welz=16.66 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = 0.23/20.09 = 1.14 MPa
SigFy = 1.91/108.66 = 17.59 MPa
SigFz = 2.36/16.66 = 141.69 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE DEVERSEMENT:
--------------------------------------------------------------------------------------------------------------------------------------- -
PARAMETRES DE FLAMBEMENT:

en y: en z:
Ly=2.11 m Muy=1768.33 Lz=2.11 m Muz=138.96
Lfy=2.11 m k1y=1.00 Lfz=2.11 m k1z=1.00
Lambda y=32.08 kFy=1.00 Lambda z=114.43 kFz=1.01
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
k1*SigN + kFy*SigFy + kFz*SigFz = 1.00*1.14 + 1.00*17.59 + 1.01*141.69 = 162.04 < 235.00 MPa (3.731)
1.54*Tauy = |1.54*-5.54| = |-8.53| < 235.00 MPa (1.313)
1.54*Tauz = |1.54*-3.30| = |-5.09| < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------------------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL): Non analysé

Déplacements (REPERE GLOBAL):

vx = 0.0 cm < vx max = L/150.00 = 1.4 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)
vy = 0.3 cm < vy max = L/150.00 = 1.4 cm Vérifié
Cas de charge décisif: 6 Vent 90 deg dép.(-)
----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!
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Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------------------
FAMILLE:
PIECE: 7 Poteau_7 POINT: 1 COORDONNEE: x = 0.00 L = 0.00 m
----------------------------------------------------------------------------------------------------------------------------- -----------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------------------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE LA SECTION: IPE 160

ht=16.0 cm
bf=8.2 cm Ay=12.14 cm2 Az=8.00 cm2 Ax=20.09 cm2
ea=0.5 cm Iy=869.29 cm4 Iz=68.31 cm4 Ix=3.62 cm4
es=0.7 cm Wely=108.66 cm3 Welz=16.66 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.20/20.09 = -0.96 MPa
SigFy = -9.16/108.66 = -84.27 MPa
SigFz = -0.45/16.66 = -26.72 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE DEVERSEMENT:
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN + SigFy + SigFz = -0.96 + -84.27 + -26.72 = | -111.95 | < 235.00 MPa (3.731)
1.54*Tauy = |1.54*-0.65| = |-0.99| < 235.00 MPa (1.313)
1.54*Tauz = 1.54*10.30 = 15.86 < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL): Non analysé

Déplacements (REPERE GLOBAL):

vx = 0.0 cm < vx max = L/150.00 = 0.3 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)
vy = 0.0 cm < vy max = L/150.00 = 0.3 cm Vérifié
Cas de charge décisif: 6 Vent 90 deg dép.(-)
----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

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Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------------------
FAMILLE:
PIECE: 8 Traverse1_8 POINT: 3 COORDONNEE: x = 0.50 L = 4.65 m
----------------------------------------------------------------------------------------------------------------------------- -----------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /1/ 1*1.33 + 2*1.33
----------------------------------------------------------------------------------------------------------------------------------------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE LA SECTION: IPE 160

ht=16.0 cm
bf=8.2 cm Ay=12.14 cm2 Az=8.00 cm2 Ax=20.09 cm2
ea=0.5 cm Iy=869.29 cm4 Iz=68.31 cm4 Ix=3.62 cm4
es=0.7 cm Wely=108.66 cm3 Welz=16.66 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = 0.41/20.09 = 1.99 MPa
SigFy = 3.71/108.66 = 34.16 MPa
SigFz = 0.06/16.66 = 3.76 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=1.00 D=1.27 Sig D=93.35 MPa
lD_sup=1.52 m C=1.00 kD=1.07
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
Lz=1.52 m Muz=153.04
Lfz=1.52 m k1z=1.00
Lambda z=82.58 kFz=1.01
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
k1*SigN + kD*kFy*SigFy + kFz*SigFz = 1.00*1.99 + 1.07*1.00*34.16 + 1.01*3.76 = 42.48 < 235.00 MPa (3.731)
1.54*Tauy = |1.54*-0.07| = |-0.10| < 235.00 MPa (1.313)
1.54*Tauz = 1.54*0.70 = 1.08 < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uz = 1.1 cm < uz max = L/200.00 = 4.6 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------

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Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 16 Poteau_16 POINT: 3 COORDONNEE: x = 1.00 L = 2.11 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /25/ 1*1.00 + 2*1.00 + 9*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: IPE 160

ht=16.0 cm
bf=8.2 cm Ay=12.14 cm2 Az=8.00 cm2 Ax=20.09 cm2
ea=0.5 cm Iy=869.29 cm4 Iz=68.31 cm4 Ix=3.62 cm4
es=0.7 cm Wely=108.66 cm3 Welz=16.66 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.61/20.09 = -3.00 MPa
SigFy = -10.11/108.66 = -93.01 MPa
SigFz = -0.86/16.66 = -51.86 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE DEVERSEMENT:
------------------------------------------------------------------------------------- ---------------------------------------------------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN + SigFy + SigFz = -3.00 + -93.01 + -51.86 = | -147.87 | < 235.00 MPa (3.731)
1.54*Tauy = |1.54*-0.70| = |-1.09| < 235.00 MPa (1.313)
1.54*Tauz = 1.54*9.34 = 14.38 < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------------------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL): Non analysé

Déplacements (REPERE GLOBAL):

vx = 0.6 cm < vx max = L/150.00 = 1.4 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)
vy = 0.4 cm < vy max = L/150.00 = 1.4 cm Vérifié
Cas de charge décisif: 14 DEP /9/ 1*1.00 + 2*1.00 + 10*1.00
----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------------------
FAMILLE:

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Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

PIECE: 17 Poteau_17 POINT: 3 COORDONNEE: x = 1.00 L = 0.50 m

----------------------------------------------------------------------------------------------------------------------------- -----------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------------------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE LA SECTION: IPE 160

ht=16.0 cm
bf=8.2 cm Ay=12.14 cm2 Az=8.00 cm2 Ax=20.09 cm2
ea=0.5 cm Iy=869.29 cm4 Iz=68.31 cm4 Ix=3.62 cm4
es=0.7 cm Wely=108.66 cm3 Welz=16.66 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -1.31/20.09 = -6.40 MPa
SigFy = -17.13/108.66 = -157.65 MPa
SigFz = -0.17/16.66 = -10.41 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE DEVERSEMENT:
-------------------------------------------------------------------------------------------------------------------------------- --------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN + SigFy + SigFz = -6.40 + -157.65 + -10.41 = | -174.47 | < 235.00 MPa (3.731)
1.54*Tauy = |1.54*-0.08| = |-0.12| < 235.00 MPa (1.313)
1.54*Tauz = |1.54*-4.48| = |-6.91| < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL): Non analysé

Déplacements (REPERE GLOBAL):

vx = 0.2 cm < vx max = L/150.00 = 0.3 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)
vy = 0.0 cm < vy max = L/150.00 = 0.3 cm Vérifié
Cas de charge décisif: 5 Vent 90 deg sur.(+)
----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------------------
FAMILLE:
PIECE: 18 Traverse1_18 POINT: 3 COORDONNEE: x = 0.50 L = 4.65 m
----------------------------------------------------------------------------------------------------------------------------- -----------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75

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Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

----------------------------------------------------------------------------------------------------------------------------------------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE LA SECTION: IPE 160

ht=16.0 cm
bf=8.2 cm Ay=12.14 cm2 Az=8.00 cm2 Ax=20.09 cm2
ea=0.5 cm Iy=869.29 cm4 Iz=68.31 cm4 Ix=3.62 cm4
es=0.7 cm Wely=108.66 cm3 Welz=16.66 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.30/20.09 = -1.49 MPa
SigFy = 11.25/108.66 = 103.54 MPa
SigFz = 0.12/16.66 = 7.38 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=1.00 D=1.27 Sig D=93.35 MPa
lD_inf=1.52 m C=1.00 kD=1.07
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN + kD*SigFy + SigFz = -1.49 + 1.07*103.54 + 7.38 = 117.11 < 235.00 MPa (3.731)
1.54*Tauy = |1.54*-0.13| = |-0.21| < 235.00 MPa (1.313)
1.54*Tauz = |1.54*-2.07| = |-3.19| < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uz = 3.5 cm < uz max = L/200.00 = 4.6 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 21 Poteau_21 POINT: 3 COORDONNEE: x = 1.00 L = 2.11 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

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Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

PARAMETRES DE LA SECTION: IPE 160

ht=16.0 cm
bf=8.2 cm Ay=12.14 cm2 Az=8.00 cm2 Ax=20.09 cm2
ea=0.5 cm Iy=869.29 cm4 Iz=68.31 cm4 Ix=3.62 cm4
es=0.7 cm Wely=108.66 cm3 Welz=16.66 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -1.17/20.09 = -5.73 MPa
SigFy = -17.49/108.66 = -160.98 MPa
SigFz = -0.09/16.66 = -5.17 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE DEVERSEMENT:
------------------------------------------------------------------------------------- ---------------------------------------------------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN + SigFy + SigFz = -5.73 + -160.98 + -5.17 = | -171.88 | < 235.00 MPa (3.731)
1.54*Tauy = 1.54*0.06 = 0.09 < 235.00 MPa (1.313)
1.54*Tauz = 1.54*4.06 = 6.25 < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL): Non analysé

Déplacements (REPERE GLOBAL):

vx = 0.5 cm < vx max = L/150.00 = 1.4 cm Vérifié
Cas de charge décisif: 14 DEP /7/ 1*1.00 + 2*1.00 + 8*1.00
vy = 0.4 cm < vy max = L/150.00 = 1.4 cm Vérifié
Cas de charge décisif: 5 Vent 90 deg sur.(+)
----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------------------
FAMILLE:
PIECE: 23 Traverse1_23 POINT: 3 COORDONNEE: x = 0.50 L = 4.65 m
----------------------------------------------------------------------------------------------------------------------------- -----------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------------------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE LA SECTION: IPE 160

ht=16.0 cm

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Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

bf=8.2 cm Ay=12.14 cm2 Az=8.00 cm2 Ax=20.09 cm2

ea=0.5 cm Iy=869.29 cm4 Iz=68.31 cm4 Ix=3.62 cm4
es=0.7 cm Wely=108.66 cm3 Welz=16.66 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.09/20.09 = -0.43 MPa
SigFy = 12.15/108.66 = 111.86 MPa
SigFz = 0.03/16.66 = 1.51 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=1.00 D=1.27 Sig D=93.35 MPa
lD_inf=1.52 m C=1.00 kD=1.07
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN + kD*SigFy + SigFz = -0.43 + 1.07*111.86 + 1.51 = 121.23 < 235.00 MPa (3.731)
1.54*Tauy = 1.54*0.03 = 0.04 < 235.00 MPa (1.313)
1.54*Tauz = |1.54*-3.11| = |-4.79| < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uz = 3.8 cm < uz max = L/200.00 = 4.6 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 26 Poteau_26 POINT: 3 COORDONNEE: x = 1.00 L = 2.11 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /21/ 1*1.00 + 2*1.00 + 5*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: IPE 160

ht=16.0 cm
bf=8.2 cm Ay=12.14 cm2 Az=8.00 cm2 Ax=20.09 cm2
ea=0.5 cm Iy=869.29 cm4 Iz=68.31 cm4 Ix=3.62 cm4
es=0.7 cm Wely=108.66 cm3 Welz=16.66 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------

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Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

CONTRAINTES: SigN = -0.60/20.09 = -2.95 MPa

SigFy = -9.92/108.66 = -91.30 MPa
SigFz = -0.86/16.66 = -51.40 MPa
------------------------------------------------------------------------------------------------------------------------------ ----------

PARAMETRES DE DEVERSEMENT:
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN + SigFy + SigFz = -2.95 + -91.30 + -51.40 = | -145.66 | < 235.00 MPa (3.731)
1.54*Tauy = 1.54*0.70 = 1.09 < 235.00 MPa (1.313)
1.54*Tauz = 1.54*9.18 = 14.14 < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL): Non analysé

Déplacements (REPERE GLOBAL):

vx = 0.6 cm < vx max = L/150.00 = 1.4 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)
vy = 0.4 cm < vy max = L/150.00 = 1.4 cm Vérifié
Cas de charge décisif: 6 Vent 90 deg dép.(-)
----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------------------
FAMILLE:
PIECE: 27 Poteau_27 POINT: 3 COORDONNEE: x = 1.00 L = 0.50 m
----------------------------------------------------------------------------------------------------------------------------- -----------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------------------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE LA SECTION: IPE 160

ht=16.0 cm
bf=8.2 cm Ay=12.14 cm2 Az=8.00 cm2 Ax=20.09 cm2
ea=0.5 cm Iy=869.29 cm4 Iz=68.31 cm4 Ix=3.62 cm4
es=0.7 cm Wely=108.66 cm3 Welz=16.66 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -1.29/20.09 = -6.30 MPa
SigFy = -16.88/108.66 = -155.35 MPa
SigFz = -0.09/16.66 = -5.50 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

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Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

PARAMETRES DE DEVERSEMENT:
--------------------------------------------------------------------------------------------------------------------------------- -------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN + SigFy + SigFz = -6.30 + -155.35 + -5.50 = | -167.15 | < 235.00 MPa (3.731)
1.54*Tauy = |1.54*-0.02| = |-0.03| < 235.00 MPa (1.313)
1.54*Tauz = |1.54*-4.47| = |-6.89| < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL): Non analysé

Déplacements (REPERE GLOBAL):

vx = 0.2 cm < vx max = L/150.00 = 0.3 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)
vy = 0.0 cm < vy max = L/150.00 = 0.3 cm Vérifié
Cas de charge décisif: 14 DEP /8/ 1*1.00 + 2*1.00 + 9*1.00
----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------------------
FAMILLE:
PIECE: 28 Traverse1_28 POINT: 3 COORDONNEE: x = 0.50 L = 4.65 m
----------------------------------------------------------------------------------------------------------------------------- -----------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------------------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE LA SECTION: IPE 160

ht=16.0 cm
bf=8.2 cm Ay=12.14 cm2 Az=8.00 cm2 Ax=20.09 cm2
ea=0.5 cm Iy=869.29 cm4 Iz=68.31 cm4 Ix=3.62 cm4
es=0.7 cm Wely=108.66 cm3 Welz=16.66 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.30/20.09 = -1.47 MPa
SigFy = 11.05/108.66 = 101.66 MPa
SigFz = 0.13/16.66 = 7.60 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=1.00 D=1.27 Sig D=93.35 MPa
lD_inf=1.52 m C=1.00 kD=1.07

Page 18
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN + kD*SigFy + SigFz = -1.47 + 1.07*101.66 + 7.60 = 115.32 < 235.00 MPa (3.731)
1.54*Tauy = 1.54*0.13 = 0.21 < 235.00 MPa (1.313)
1.54*Tauz = |1.54*-2.04| = |-3.14| < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uz = 3.5 cm < uz max = L/200.00 = 4.6 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 31 Poteau_31 POINT: 1 COORDONNEE: x = 0.00 L = 0.00 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /22/ 1*1.00 + 2*1.00 + 6*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: IPE 160

ht=16.0 cm
bf=8.2 cm Ay=12.14 cm2 Az=8.00 cm2 Ax=20.09 cm2
ea=0.5 cm Iy=869.29 cm4 Iz=68.31 cm4 Ix=3.62 cm4
es=0.7 cm Wely=108.66 cm3 Welz=16.66 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = 0.24/20.09 = 1.17 MPa
SigFy = 1.96/108.66 = 18.01 MPa
SigFz = 2.34/16.66 = 140.58 MPa
----------------------------------------------------------------------------------------------------------------------------------- -----

PARAMETRES DE DEVERSEMENT:
------------------------------------------------------------------------------------------- ---------------------------------------------
PARAMETRES DE FLAMBEMENT:

en y: en z:
Ly=2.11 m Muy=1726.12 Lz=2.11 m Muz=135.64
Lfy=2.11 m k1y=1.00 Lfz=2.11 m k1z=1.00

Page 19
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

Lambda y=32.08 kFy=1.00 Lambda z=114.43 kFz=1.01

----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
k1*SigN + kFy*SigFy + kFz*SigFz = 1.00*1.17 + 1.00*18.01 + 1.01*140.58 = 161.41 < 235.00 MPa (3.731)
1.54*Tauy = 1.54*5.53 = 8.51 < 235.00 MPa (1.313)
1.54*Tauz = |1.54*-3.39| = |-5.22| < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL): Non analysé

Déplacements (REPERE GLOBAL):

vx = 0.1 cm < vx max = L/150.00 = 1.4 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)
vy = 0.3 cm < vy max = L/150.00 = 1.4 cm Vérifié
Cas de charge décisif: 10 Vent 270 deg dép.(-)
----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------------------
FAMILLE:
PIECE: 32 Poteau_32 POINT: 1 COORDONNEE: x = 0.00 L = 0.00 m
----------------------------------------------------------------------------------------------------------------------------- -----------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------------------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE LA SECTION: IPE 160

ht=16.0 cm
bf=8.2 cm Ay=12.14 cm2 Az=8.00 cm2 Ax=20.09 cm2
ea=0.5 cm Iy=869.29 cm4 Iz=68.31 cm4 Ix=3.62 cm4
es=0.7 cm Wely=108.66 cm3 Welz=16.66 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.22/20.09 = -1.09 MPa
SigFy = -9.51/108.66 = -87.47 MPa
SigFz = -0.37/16.66 = -22.35 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE DEVERSEMENT:
---------------------------------------------------------------------------------------------------------------------------------- ------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN + SigFy + SigFz = -1.09 + -87.47 + -22.35 = | -110.91 | < 235.00 MPa (3.731)

Page 20
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

1.54*Tauy = 1.54*0.54 = 0.83 < 235.00 MPa (1.313)

1.54*Tauz = 1.54*10.26 = 15.81 < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL): Non analysé

Déplacements (REPERE GLOBAL):

vx = 0.1 cm < vx max = L/150.00 = 0.3 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)
vy = 0.0 cm < vy max = L/150.00 = 0.3 cm Vérifié
Cas de charge décisif: 9 Vent 270 deg sur.(+)
----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------------------
FAMILLE:
PIECE: 33 Traverse1_33 POINT: 3 COORDONNEE: x = 0.50 L = 4.65 m
----------------------------------------------------------------------------------------------------------------------------- -----------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /1/ 1*1.33 + 2*1.33
----------------------------------------------------------------------------------------------------------------------------------------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE LA SECTION: IPE 160

ht=16.0 cm
bf=8.2 cm Ay=12.14 cm2 Az=8.00 cm2 Ax=20.09 cm2
ea=0.5 cm Iy=869.29 cm4 Iz=68.31 cm4 Ix=3.62 cm4
es=0.7 cm Wely=108.66 cm3 Welz=16.66 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = 0.42/20.09 = 2.07 MPa
SigFy = 3.85/108.66 = 35.41 MPa
SigFz = 0.07/16.66 = 4.13 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=1.00 D=1.27 Sig D=93.35 MPa
lD_sup=1.52 m C=1.00 kD=1.07
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
Lz=1.52 m Muz=146.80
Lfz=1.52 m k1z=1.00
Lambda z=82.58 kFz=1.01
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:

Page 21
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

k1*SigN + kD*kFy*SigFy + kFz*SigFz = 1.00*2.07 + 1.07*1.00*35.41 + 1.01*4.13 = 44.28 < 235.00 MPa (3.731)
1.54*Tauy = 1.54*0.07 = 0.11 < 235.00 MPa (1.313)
1.54*Tauz = 1.54*0.72 = 1.12 < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uz = 1.1 cm < uz max = L/200.00 = 4.6 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 34 Panne_34 POINT: 1 COORDONNEE: x = 0.00 L = 0.00 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: IPE 100

ht=10.0 cm
bf=5.5 cm Ay=6.27 cm2 Az=4.10 cm2 Ax=10.32 cm2
ea=0.4 cm Iy=171.01 cm4 Iz=15.92 cm4 Ix=1.21 cm4
es=0.6 cm Wely=34.20 cm3 Welz=5.79 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.11/10.32 = -1.03 MPa
SigFy = 1.45/34.20 = 42.28 MPa
SigFz = 0.02/5.79 = 3.44 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=0.87 D=2.16 Sig D=117.95 MPa
lD_sup=1.76 m C=0.97 kD=1.23
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN + kD*SigFy + SigFz = -1.03 + 1.23*42.28 + 3.44 = 54.37 < 235.00 MPa (3.731)
1.54*Tauy = 1.54*0.12 = 0.18 < 235.00 MPa (1.313)
1.54*Tauz = |1.54*-2.74| = |-4.22| < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------

Page 22
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.1 cm < uy max = L/200.00 = 1.8 cm Vérifié
Cas de charge décisif: 14 DEP /4/ 1*1.00 + 2*1.00 + 5*1.00
uz = 0.1 cm < uz max = L/200.00 = 1.8 cm Vérifié
Cas de charge décisif: 10 Vent 270 deg dép.(-)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 35 Panne_35 POINT: 1 COORDONNEE: x = 0.00 L = 0.00 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: IPE 100

ht=10.0 cm
bf=5.5 cm Ay=6.27 cm2 Az=4.10 cm2 Ax=10.32 cm2
ea=0.4 cm Iy=171.01 cm4 Iz=15.92 cm4 Ix=1.21 cm4
es=0.6 cm Wely=34.20 cm3 Welz=5.79 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = 0.11/10.32 = 1.01 MPa
SigFy = 0.61/34.20 = 17.96 MPa
SigFz = 0.28/5.79 = 48.16 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=0.89 D=2.42 Sig D=110.61 MPa
lD_sup=2.03 m C=0.97 kD=1.35
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
Ly=4.05 m Muy=207.90 Lz=4.05 m Muz=77.42
Lfy=4.05 m k1y=1.00 Lfz=2.03 m k1z=1.00
Lambda y=99.49 kFy=1.01 Lambda z=163.04 kFz=1.02
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
k1*SigN + kD*kFy*SigFy + kFz*SigFz = 1.00*1.01 + 1.35*1.01*17.96 + 1.02*48.16 = 74.48 < 235.00 MPa (3.731)
1.54*Tauy = 1.54*0.34 = 0.52 < 235.00 MPa (1.313)
1.54*Tauz = |1.54*-2.45| = |-3.77| < 235.00 MPa (1.313)

Page 23
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.2 cm < uy max = L/200.00 = 2.0 cm Vérifié
Cas de charge décisif: 14 DEP /2/ 1*1.00 + 2*1.00 + 3*1.00
uz = 0.1 cm < uz max = L/200.00 = 2.0 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------------------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 36 Panne_36 POINT: 3 COORDONNEE: x = 1.00 L = 3.75 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: IPE 100

ht=10.0 cm
bf=5.5 cm Ay=6.27 cm2 Az=4.10 cm2 Ax=10.32 cm2
ea=0.4 cm Iy=171.01 cm4 Iz=15.92 cm4 Ix=1.21 cm4
es=0.6 cm Wely=34.20 cm3 Welz=5.79 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = 0.11/10.32 = 1.03 MPa
SigFy = 0.60/34.20 = 17.46 MPa
SigFz = 0.29/5.79 = 50.66 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=0.88 D=2.27 Sig D=114.69 MPa
lD_sup=1.88 m C=0.97 kD=1.28
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
Ly=3.75 m Muy=236.92 Lz=3.75 m Muz=88.22
Lfy=3.75 m k1y=1.00 Lfz=1.88 m k1z=1.00
Lambda y=92.12 kFy=1.01 Lambda z=150.96 kFz=1.02
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
k1*SigN + kD*kFy*SigFy + kFz*SigFz = 1.00*1.03 + 1.28*1.01*17.46 + 1.02*50.66 = 74.95 < 235.00 MPa (3.731)
1.54*Tauy = |1.54*-0.36| = |-0.55| < 235.00 MPa (1.313)

Page 24
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

1.54*Tauz = 1.54*2.33 = 3.59 < 235.00 MPa (1.313)

----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.1 cm < uy max = L/200.00 = 1.9 cm Vérifié
Cas de charge décisif: 14 DEP /2/ 1*1.00 + 2*1.00 + 3*1.00
uz = 0.1 cm < uz max = L/200.00 = 1.9 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------------------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 37 Panne_37 POINT: 3 COORDONNEE: x = 1.00 L = 3.68 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: IPE 100

ht=10.0 cm
bf=5.5 cm Ay=6.27 cm2 Az=4.10 cm2 Ax=10.32 cm2
ea=0.4 cm Iy=171.01 cm4 Iz=15.92 cm4 Ix=1.21 cm4
es=0.6 cm Wely=34.20 cm3 Welz=5.79 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.11/10.32 = -1.03 MPa
SigFy = 1.56/34.20 = 45.49 MPa
SigFz = 0.02/5.79 = 3.57 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=0.88 D=2.24 Sig D=115.67 MPa
lD_sup=1.84 m C=0.97 kD=1.26
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN + kD*SigFy + SigFz = -1.03 + 1.26*45.49 + 3.57 = 60.06 < 235.00 MPa (3.731)
1.54*Tauy = |1.54*-0.12| = |-0.19| < 235.00 MPa (1.313)
1.54*Tauz = 1.54*2.93 = 4.51 < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------

Page 25
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.1 cm < uy max = L/200.00 = 1.8 cm Vérifié
Cas de charge décisif: 14 DEP /8/ 1*1.00 + 2*1.00 + 9*1.00
uz = 0.2 cm < uz max = L/200.00 = 1.8 cm Vérifié
Cas de charge décisif: 6 Vent 90 deg dép.(-)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 38 Panne_38 POINT: 3 COORDONNEE: x = 1.00 L = 3.52 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: IPE 100

ht=10.0 cm
bf=5.5 cm Ay=6.27 cm2 Az=4.10 cm2 Ax=10.32 cm2
ea=0.4 cm Iy=171.01 cm4 Iz=15.92 cm4 Ix=1.21 cm4
es=0.6 cm Wely=34.20 cm3 Welz=5.79 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.42/10.32 = -4.02 MPa
SigFy = -0.71/34.20 = -20.63 MPa
SigFz = -0.08/5.79 = -13.70 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=0.87 D=2.16 Sig D=117.95 MPa
lD_sup=1.76 m C=0.97 kD=1.23
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN + kD*SigFy + SigFz = -4.02 + 1.00*-20.63 + -13.70 = | -38.35 | < 235.00 MPa (3.731)
1.54*Tauy = |1.54*-0.17| = |-0.26| < 235.00 MPa (1.313)
1.54*Tauz = 1.54*2.23 = 3.44 < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Page 26
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

Flèches (REPERE LOCAL):

uy = 0.1 cm < uy max = L/200.00 = 1.8 cm Vérifié
Cas de charge décisif: 14 DEP /1/ 1*1.00 + 2*1.00
uz = 0.1 cm < uz max = L/200.00 = 1.8 cm Vérifié
Cas de charge décisif: 9 Vent 270 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 39 Panne_39 POINT: 1 COORDONNEE: x = 0.00 L = 0.00 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: IPE 100

ht=10.0 cm
bf=5.5 cm Ay=6.27 cm2 Az=4.10 cm2 Ax=10.32 cm2
ea=0.4 cm Iy=171.01 cm4 Iz=15.92 cm4 Ix=1.21 cm4
es=0.6 cm Wely=34.20 cm3 Welz=5.79 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.64/10.32 = -6.11 MPa
SigFy = -0.87/34.20 = -25.54 MPa
SigFz = -0.28/5.79 = -47.52 MPa
------------------------------------------------------------------------------------------------------------------------------------ ----

PARAMETRES DE DEVERSEMENT:
z=1.00 B=0.89 D=2.42 Sig D=110.61 MPa
lD_sup=2.03 m C=0.97 kD=1.35
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN + kD*SigFy + SigFz = -6.11 + 1.00*-25.54 + -47.52 = | -79.17 | < 235.00 MPa (3.731)
1.54*Tauy = 1.54*0.34 = 0.52 < 235.00 MPa (1.313)
1.54*Tauz = |1.54*-2.69| = |-4.14| < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

Page 27
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

uy = 0.2 cm < uy max = L/200.00 = 2.0 cm Vérifié

Cas de charge décisif: 14 DEP /2/ 1*1.00 + 2*1.00 + 3*1.00
uz = 0.1 cm < uz max = L/200.00 = 2.0 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 40 Panne_40 POINT: 3 COORDONNEE: x = 1.00 L = 3.75 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE LA SECTION: IPE 100

ht=10.0 cm
bf=5.5 cm Ay=6.27 cm2 Az=4.10 cm2 Ax=10.32 cm2
ea=0.4 cm Iy=171.01 cm4 Iz=15.92 cm4 Ix=1.21 cm4
es=0.6 cm Wely=34.20 cm3 Welz=5.79 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.64/10.32 = -6.07 MPa
SigFy = -0.81/34.20 = -23.76 MPa
SigFz = -0.29/5.79 = -50.77 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=0.88 D=2.27 Sig D=114.69 MPa
lD_sup=1.88 m C=0.97 kD=1.28
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN + kD*SigFy + SigFz = -6.07 + 1.00*-23.76 + -50.77 = | -80.61 | < 235.00 MPa (3.731)
1.54*Tauy = |1.54*-0.36| = |-0.55| < 235.00 MPa (1.313)
1.54*Tauz = 1.54*2.53 = 3.90 < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.1 cm < uy max = L/200.00 = 1.9 cm Vérifié
Cas de charge décisif: 14 DEP /2/ 1*1.00 + 2*1.00 + 3*1.00

Page 28
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

uz = 0.1 cm < uz max = L/200.00 = 1.9 cm Vérifié

Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 41 Panne_41 POINT: 1 COORDONNEE: x = 0.00 L = 0.00 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: IPE 100

ht=10.0 cm
bf=5.5 cm Ay=6.27 cm2 Az=4.10 cm2 Ax=10.32 cm2
ea=0.4 cm Iy=171.01 cm4 Iz=15.92 cm4 Ix=1.21 cm4
es=0.6 cm Wely=34.20 cm3 Welz=5.79 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.42/10.32 = -3.98 MPa
SigFy = -0.72/34.20 = -21.17 MPa
SigFz = -0.08/5.79 = -14.50 MPa
------------------------------------------------------------------------------------------------------------------------------------ ----

PARAMETRES DE DEVERSEMENT:
z=1.00 B=0.88 D=2.24 Sig D=115.67 MPa
lD_sup=1.84 m C=0.97 kD=1.26
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN + kD*SigFy + SigFz = -3.98 + 1.00*-21.17 + -14.50 = | -39.65 | < 235.00 MPa (3.731)
1.54*Tauy = 1.54*0.18 = 0.27 < 235.00 MPa (1.313)
1.54*Tauz = |1.54*-2.32| = |-3.57| < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.1 cm < uy max = L/200.00 = 1.8 cm Vérifié
Cas de charge décisif: 14 DEP /4/ 1*1.00 + 2*1.00 + 5*1.00
uz = 0.1 cm < uz max = L/200.00 = 1.8 cm Vérifié
Cas de charge décisif: 5 Vent 90 deg sur.(+)

Page 29
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 42 Panne_42 POINT: 3 COORDONNEE: x = 1.00 L = 3.52 m
----------------------------------------------------------------------------------------------------------------------------- -----------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: IPE 100

ht=10.0 cm
bf=5.5 cm Ay=6.27 cm2 Az=4.10 cm2 Ax=10.32 cm2
ea=0.4 cm Iy=171.01 cm4 Iz=15.92 cm4 Ix=1.21 cm4
es=0.6 cm Wely=34.20 cm3 Welz=5.79 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.02/10.32 = -0.24 MPa
SigFy = 1.03/34.20 = 30.24 MPa
SigFz = 0.09/5.79 = 16.27 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=0.87 D=2.16 Sig D=117.95 MPa
lD_sup=1.76 m C=0.97 kD=1.23
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN + kD*SigFy + SigFz = -0.24 + 1.23*30.24 + 16.27 = 53.19 < 235.00 MPa (3.731)
1.54*Tauy = |1.54*-0.26| = |-0.39| < 235.00 MPa (1.313)
1.54*Tauz = 1.54*5.09 = 7.83 < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.1 cm < uy max = L/200.00 = 1.8 cm Vérifié
Cas de charge décisif: 14 DEP /9/ 1*1.00 + 2*1.00 + 10*1.00
uz = 0.3 cm < uz max = L/200.00 = 1.8 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

Page 30
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 43 Panne_43 POINT: 2 COORDONNEE: x = 0.50 L = 1.76 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: IPE 100

ht=10.0 cm
bf=5.5 cm Ay=6.27 cm2 Az=4.10 cm2 Ax=10.32 cm2
ea=0.4 cm Iy=171.01 cm4 Iz=15.92 cm4 Ix=1.21 cm4
es=0.6 cm Wely=34.20 cm3 Welz=5.79 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = 0.02/10.32 = 0.14 MPa
SigFy = 1.27/34.20 = 37.01 MPa
SigFz = 0.05/5.79 = 8.06 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=1.15 D=2.16 Sig D=154.92 MPa
lD_inf=1.76 m C=0.97 kD=1.07
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
Ly=3.52 m Muy=1918.85 Lz=3.52 m Muz=714.53
Lfy=3.52 m k1y=1.00 Lfz=1.76 m k1z=1.00
Lambda y=86.47 kFy=1.00 Lambda z=141.70 kFz=1.00
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
k1*SigN + kD*kFy*SigFy + kFz*SigFz = 1.00*0.14 + 1.07*1.00*37.01 + 1.00*8.06 = 47.69 < 235.00 MPa (3.731)
1.54*Tauy = |1.54*-0.01| = |-0.01| < 235.00 MPa (1.313)
1.54*Tauz = 1.54*0.43 = 0.66 < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.1 cm < uy max = L/200.00 = 1.8 cm Vérifié
Cas de charge décisif: 14 DEP /1/ 1*1.00 + 2*1.00
uz = 0.4 cm < uz max = L/200.00 = 1.8 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Page 31
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------------------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 44 Panne_44 POINT: 2 COORDONNEE: x = 0.50 L = 1.76 m
----------------------------------------------------------------------------------------------------------------------------- -----------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: IPE 100

ht=10.0 cm
bf=5.5 cm Ay=6.27 cm2 Az=4.10 cm2 Ax=10.32 cm2
ea=0.4 cm Iy=171.01 cm4 Iz=15.92 cm4 Ix=1.21 cm4
es=0.6 cm Wely=34.20 cm3 Welz=5.79 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.00/10.32 = -0.02 MPa
SigFy = 1.27/34.20 = 37.04 MPa
SigFz = 0.05/5.79 = 8.01 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=1.15 D=2.16 Sig D=154.92 MPa
lD_inf=1.76 m C=0.97 kD=1.07
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN + kD*SigFy + SigFz = -0.02 + 1.07*37.04 + 8.01 = 47.49 < 235.00 MPa (3.731)
1.54*Tauy = |1.54*-0.00| = |-0.00| < 235.00 MPa (1.313)
1.54*Tauz = 1.54*0.42 = 0.65 < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.1 cm < uy max = L/200.00 = 1.8 cm Vérifié
Cas de charge décisif: 14 DEP /9/ 1*1.00 + 2*1.00 + 10*1.00
uz = 0.4 cm < uz max = L/200.00 = 1.8 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

Page 32
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 45 Panne_45 POINT: 3 COORDONNEE: x = 1.00 L = 3.52 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: IPE 100

ht=10.0 cm
bf=5.5 cm Ay=6.27 cm2 Az=4.10 cm2 Ax=10.32 cm2
ea=0.4 cm Iy=171.01 cm4 Iz=15.92 cm4 Ix=1.21 cm4
es=0.6 cm Wely=34.20 cm3 Welz=5.79 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.02/10.32 = -0.20 MPa
SigFy = 0.99/34.20 = 28.86 MPa
SigFz = 0.10/5.79 = 17.29 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=0.87 D=2.16 Sig D=117.95 MPa
lD_sup=1.76 m C=0.97 kD=1.23
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN + kD*SigFy + SigFz = -0.20 + 1.23*28.86 + 17.29 = 52.56 < 235.00 MPa (3.731)
1.54*Tauy = |1.54*-0.26| = |-0.40| < 235.00 MPa (1.313)
1.54*Tauz = 1.54*5.06 = 7.79 < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.1 cm < uy max = L/200.00 = 1.8 cm Vérifié
Cas de charge décisif: 14 DEP /9/ 1*1.00 + 2*1.00 + 10*1.00
uz = 0.3 cm < uz max = L/200.00 = 1.8 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!
Page 33
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 46 Panne_46 POINT: 3 COORDONNEE: x = 1.00 L = 3.52 m
----------------------------------------------------------------------------------------------------------------------------- -----------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: IPE 100

ht=10.0 cm
bf=5.5 cm Ay=6.27 cm2 Az=4.10 cm2 Ax=10.32 cm2
ea=0.4 cm Iy=171.01 cm4 Iz=15.92 cm4 Ix=1.21 cm4
es=0.6 cm Wely=34.20 cm3 Welz=5.79 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = 0.00/10.32 = 0.03 MPa
SigFy = 1.50/34.20 = 43.94 MPa
SigFz = 0.10/5.79 = 16.76 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=0.87 D=2.16 Sig D=117.95 MPa
lD_sup=1.76 m C=0.97 kD=1.23
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
Ly=3.52 m Muy=10430.55 Lz=3.52 m Muz=3884.09
Lfy=3.52 m k1y=1.00 Lfz=1.76 m k1z=1.00
Lambda y=86.47 kFy=1.00 Lambda z=141.70 kFz=1.00
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
k1*SigN + kD*kFy*SigFy + kFz*SigFz = 1.00*0.03 + 1.23*1.00*43.94 + 1.00*16.76 = 70.79 < 235.00 MPa (3.731)
1.54*Tauy = |1.54*-0.26| = |-0.40| < 235.00 MPa (1.313)
1.54*Tauz = 1.54*5.42 = 8.34 < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.1 cm < uy max = L/200.00 = 1.8 cm Vérifié
Cas de charge décisif: 14 DEP /9/ 1*1.00 + 2*1.00 + 10*1.00
uz = 0.2 cm < uz max = L/200.00 = 1.8 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------------------

Page 34
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 47 Panne_47 POINT: 1 COORDONNEE: x = 0.00 L = 0.00 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: IPE 100

ht=10.0 cm
bf=5.5 cm Ay=6.27 cm2 Az=4.10 cm2 Ax=10.32 cm2
ea=0.4 cm Iy=171.01 cm4 Iz=15.92 cm4 Ix=1.21 cm4
es=0.6 cm Wely=34.20 cm3 Welz=5.79 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.04/10.32 = -0.35 MPa
SigFy = 1.03/34.20 = 30.17 MPa
SigFz = 0.34/5.79 = 59.35 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=0.89 D=2.42 Sig D=110.61 MPa
lD_sup=2.03 m C=0.97 kD=1.35
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN + kD*SigFy + SigFz = -0.35 + 1.35*30.17 + 59.35 = 99.84 < 235.00 MPa (3.731)
1.54*Tauy = 1.54*0.47 = 0.72 < 235.00 MPa (1.313)
1.54*Tauz = |1.54*-4.89| = |-7.53| < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.2 cm < uy max = L/200.00 = 2.0 cm Vérifié
Cas de charge décisif: 14 DEP /2/ 1*1.00 + 2*1.00 + 3*1.00
uz = 0.3 cm < uz max = L/200.00 = 2.0 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

Page 35
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 48 Panne_48 POINT: 1 COORDONNEE: x = 0.00 L = 0.00 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: IPE 100

ht=10.0 cm
bf=5.5 cm Ay=6.27 cm2 Az=4.10 cm2 Ax=10.32 cm2
ea=0.4 cm Iy=171.01 cm4 Iz=15.92 cm4 Ix=1.21 cm4
es=0.6 cm Wely=34.20 cm3 Welz=5.79 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = 0.01/10.32 = 0.09 MPa
SigFy = 0.62/34.20 = 18.23 MPa
SigFz = 0.34/5.79 = 58.84 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=0.89 D=2.42 Sig D=110.61 MPa
lD_sup=2.03 m C=0.97 kD=1.35
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
Ly=4.05 m Muy=2213.36 Lz=4.05 m Muz=824.20
Lfy=4.05 m k1y=1.00 Lfz=2.03 m k1z=1.00
Lambda y=99.49 kFy=1.00 Lambda z=163.04 kFz=1.00
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
k1*SigN + kD*kFy*SigFy + kFz*SigFz = 1.00*0.09 + 1.35*1.00*18.23 + 1.00*58.84 = 83.74 < 235.00 MPa (3.731)
1.54*Tauy = 1.54*0.47 = 0.72 < 235.00 MPa (1.313)
1.54*Tauz = |1.54*-4.62| = |-7.12| < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.2 cm < uy max = L/200.00 = 2.0 cm Vérifié
Cas de charge décisif: 14 DEP /2/ 1*1.00 + 2*1.00 + 3*1.00
uz = 0.4 cm < uz max = L/200.00 = 2.0 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------------------
Profil correct !!!
Page 36
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 49 Panne_49 POINT: 1 COORDONNEE: x = 0.00 L = 0.00 m
----------------------------------------------------------------------------------------------------------------------------- -----------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: IPE 100

ht=10.0 cm
bf=5.5 cm Ay=6.27 cm2 Az=4.10 cm2 Ax=10.32 cm2
ea=0.4 cm Iy=171.01 cm4 Iz=15.92 cm4 Ix=1.21 cm4
es=0.6 cm Wely=34.20 cm3 Welz=5.79 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.00/10.32 = -0.03 MPa
SigFy = 0.62/34.20 = 18.17 MPa
SigFz = 0.34/5.79 = 59.01 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=0.89 D=2.42 Sig D=110.61 MPa
lD_sup=2.03 m C=0.97 kD=1.35
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN + kD*SigFy + SigFz = -0.03 + 1.35*18.17 + 59.01 = 83.58 < 235.00 MPa (3.731)
1.54*Tauy = 1.54*0.47 = 0.72 < 235.00 MPa (1.313)
1.54*Tauz = |1.54*-4.74| = |-7.30| < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.2 cm < uy max = L/200.00 = 2.0 cm Vérifié
Cas de charge décisif: 14 DEP /2/ 1*1.00 + 2*1.00 + 3*1.00
uz = 0.4 cm < uz max = L/200.00 = 2.0 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

Page 37
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 50 Panne_50 POINT: 1 COORDONNEE: x = 0.00 L = 0.00 m
----------------------------------------------------------------------------------------------------------------------------- -----------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: IPE 100

ht=10.0 cm
bf=5.5 cm Ay=6.27 cm2 Az=4.10 cm2 Ax=10.32 cm2
ea=0.4 cm Iy=171.01 cm4 Iz=15.92 cm4 Ix=1.21 cm4
es=0.6 cm Wely=34.20 cm3 Welz=5.79 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.09/10.32 = -0.85 MPa
SigFy = 0.99/34.20 = 28.93 MPa
SigFz = 0.34/5.79 = 58.92 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=0.89 D=2.42 Sig D=110.61 MPa
lD_sup=2.03 m C=0.97 kD=1.35
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN + kD*SigFy + SigFz = -0.85 + 1.35*28.93 + 58.92 = 97.24 < 235.00 MPa (3.731)
1.54*Tauy = 1.54*0.47 = 0.72 < 235.00 MPa (1.313)
1.54*Tauz = |1.54*-5.13| = |-7.90| < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.2 cm < uy max = L/200.00 = 2.0 cm Vérifié
Cas de charge décisif: 14 DEP /2/ 1*1.00 + 2*1.00 + 3*1.00
uz = 0.4 cm < uz max = L/200.00 = 2.0 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66

Page 38
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

TYPE D'ANALYSE: Vérification des pièces

----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 51 Panne_51 POINT: 1 COORDONNEE: x = 0.00 L = 0.00 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: IPE 100

ht=10.0 cm
bf=5.5 cm Ay=6.27 cm2 Az=4.10 cm2 Ax=10.32 cm2
ea=0.4 cm Iy=171.01 cm4 Iz=15.92 cm4 Ix=1.21 cm4
es=0.6 cm Wely=34.20 cm3 Welz=5.79 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = 0.01/10.32 = 0.11 MPa
SigFy = 1.50/34.20 = 43.95 MPa
SigFz = 0.34/5.79 = 59.20 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=0.89 D=2.42 Sig D=110.61 MPa
lD_sup=2.03 m C=0.97 kD=1.35
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
Ly=4.05 m Muy=1919.46 Lz=4.05 m Muz=714.76
Lfy=4.05 m k1y=1.00 Lfz=2.03 m k1z=1.00
Lambda y=99.49 kFy=1.00 Lambda z=163.04 kFz=1.00
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
k1*SigN + kD*kFy*SigFy + kFz*SigFz = 1.00*0.11 + 1.35*1.00*43.95 + 1.00*59.20 = 118.96 < 235.00 MPa (3.731)
1.54*Tauy = 1.54*0.47 = 0.72 < 235.00 MPa (1.313)
1.54*Tauz = |1.54*-5.55| = |-8.54| < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.2 cm < uy max = L/200.00 = 2.0 cm Vérifié
Cas de charge décisif: 14 DEP /2/ 1*1.00 + 2*1.00 + 3*1.00
uz = 0.3 cm < uz max = L/200.00 = 2.0 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------------------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------

Page 39
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 52 Panne_52 POINT: 3 COORDONNEE: x = 1.00 L = 3.75 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: IPE 100

ht=10.0 cm
bf=5.5 cm Ay=6.27 cm2 Az=4.10 cm2 Ax=10.32 cm2
ea=0.4 cm Iy=171.01 cm4 Iz=15.92 cm4 Ix=1.21 cm4
es=0.6 cm Wely=34.20 cm3 Welz=5.79 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.04/10.32 = -0.34 MPa
SigFy = 1.01/34.20 = 29.55 MPa
SigFz = 0.36/5.79 = 62.10 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=0.88 D=2.27 Sig D=114.69 MPa
lD_sup=1.88 m C=0.97 kD=1.28
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN + kD*SigFy + SigFz = -0.34 + 1.28*29.55 + 62.10 = 99.60 < 235.00 MPa (3.731)
1.54*Tauy = |1.54*-0.49| = |-0.76| < 235.00 MPa (1.313)
1.54*Tauz = 1.54*4.49 = 6.92 < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.2 cm < uy max = L/200.00 = 1.9 cm Vérifié
Cas de charge décisif: 14 DEP /2/ 1*1.00 + 2*1.00 + 3*1.00
uz = 0.1 cm < uz max = L/200.00 = 1.9 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces

Page 40
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 53 Panne_53 POINT: 3 COORDONNEE: x = 1.00 L = 3.75 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: IPE 100

ht=10.0 cm
bf=5.5 cm Ay=6.27 cm2 Az=4.10 cm2 Ax=10.32 cm2
ea=0.4 cm Iy=171.01 cm4 Iz=15.92 cm4 Ix=1.21 cm4
es=0.6 cm Wely=34.20 cm3 Welz=5.79 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = 0.01/10.32 = 0.10 MPa
SigFy = 0.66/34.20 = 19.26 MPa
SigFz = 0.36/5.79 = 61.57 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=0.88 D=2.27 Sig D=114.69 MPa
lD_sup=1.88 m C=0.97 kD=1.28
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
Ly=3.75 m Muy=2498.09 Lz=3.75 m Muz=930.23
Lfy=3.75 m k1y=1.00 Lfz=1.88 m k1z=1.00
Lambda y=92.12 kFy=1.00 Lambda z=150.96 kFz=1.00
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
k1*SigN + kD*kFy*SigFy + kFz*SigFz = 1.00*0.10 + 1.28*1.00*19.26 + 1.00*61.57 = 86.43 < 235.00 MPa (3.731)
1.54*Tauy = |1.54*-0.49| = |-0.75| < 235.00 MPa (1.313)
1.54*Tauz = 1.54*4.24 = 6.53 < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.2 cm < uy max = L/200.00 = 1.9 cm Vérifié
Cas de charge décisif: 14 DEP /2/ 1*1.00 + 2*1.00 + 3*1.00
uz = 0.2 cm < uz max = L/200.00 = 1.9 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------------------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66

Page 41
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

TYPE D'ANALYSE: Vérification des pièces

----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 54 Panne_54 POINT: 3 COORDONNEE: x = 1.00 L = 3.75 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: IPE 100

ht=10.0 cm
bf=5.5 cm Ay=6.27 cm2 Az=4.10 cm2 Ax=10.32 cm2
ea=0.4 cm Iy=171.01 cm4 Iz=15.92 cm4 Ix=1.21 cm4
es=0.6 cm Wely=34.20 cm3 Welz=5.79 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.00/10.32 = -0.03 MPa
SigFy = 0.68/34.20 = 19.93 MPa
SigFz = 0.36/5.79 = 61.48 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=0.88 D=2.27 Sig D=114.69 MPa
lD_sup=1.88 m C=0.97 kD=1.28
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN + kD*SigFy + SigFz = -0.03 + 1.28*19.93 + 61.48 = 86.97 < 235.00 MPa (3.731)
1.54*Tauy = |1.54*-0.49| = |-0.75| < 235.00 MPa (1.313)
1.54*Tauz = 1.54*4.38 = 6.75 < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.2 cm < uy max = L/200.00 = 1.9 cm Vérifié
Cas de charge décisif: 14 DEP /2/ 1*1.00 + 2*1.00 + 3*1.00
uz = 0.2 cm < uz max = L/200.00 = 1.9 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------

Page 42
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

FAMILLE:
PIECE: 55 Panne_55 POINT: 3 COORDONNEE: x = 1.00 L = 3.75 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: IPE 100

ht=10.0 cm
bf=5.5 cm Ay=6.27 cm2 Az=4.10 cm2 Ax=10.32 cm2
ea=0.4 cm Iy=171.01 cm4 Iz=15.92 cm4 Ix=1.21 cm4
es=0.6 cm Wely=34.20 cm3 Welz=5.79 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.09/10.32 = -0.85 MPa
SigFy = 1.03/34.20 = 30.14 MPa
SigFz = 0.36/5.79 = 61.45 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=0.88 D=2.27 Sig D=114.69 MPa
lD_sup=1.88 m C=0.97 kD=1.28
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN + kD*SigFy + SigFz = -0.85 + 1.28*30.14 + 61.45 = 99.19 < 235.00 MPa (3.731)
1.54*Tauy = |1.54*-0.49| = |-0.75| < 235.00 MPa (1.313)
1.54*Tauz = 1.54*4.79 = 7.38 < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.2 cm < uy max = L/200.00 = 1.9 cm Vérifié
Cas de charge décisif: 14 DEP /2/ 1*1.00 + 2*1.00 + 3*1.00
uz = 0.2 cm < uz max = L/200.00 = 1.9 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 56 Panne_56 POINT: 3 COORDONNEE: x = 1.00 L = 3.75 m

Page 43
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: IPE 100

ht=10.0 cm
bf=5.5 cm Ay=6.27 cm2 Az=4.10 cm2 Ax=10.32 cm2
ea=0.4 cm Iy=171.01 cm4 Iz=15.92 cm4 Ix=1.21 cm4
es=0.6 cm Wely=34.20 cm3 Welz=5.79 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = 0.01/10.32 = 0.10 MPa
SigFy = 1.49/34.20 = 43.58 MPa
SigFz = 0.36/5.79 = 61.82 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=0.88 D=2.27 Sig D=114.69 MPa
lD_sup=1.88 m C=0.97 kD=1.28
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
Ly=3.75 m Muy=2570.48 Lz=3.75 m Muz=957.19
Lfy=3.75 m k1y=1.00 Lfz=1.88 m k1z=1.00
Lambda y=92.12 kFy=1.00 Lambda z=150.96 kFz=1.00
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
k1*SigN + kD*kFy*SigFy + kFz*SigFz = 1.00*0.10 + 1.28*1.00*43.58 + 1.00*61.82 = 117.83 < 235.00 MPa (3.731)
1.54*Tauy = |1.54*-0.49| = |-0.75| < 235.00 MPa (1.313)
1.54*Tauz = 1.54*5.21 = 8.02 < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.2 cm < uy max = L/200.00 = 1.9 cm Vérifié
Cas de charge décisif: 14 DEP /2/ 1*1.00 + 2*1.00 + 3*1.00
uz = 0.2 cm < uz max = L/200.00 = 1.9 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------------------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:

Page 44
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

PIECE: 57 Panne_57 POINT: 1 COORDONNEE: x = 0.00 L = 0.00 m

----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: IPE 100

ht=10.0 cm
bf=5.5 cm Ay=6.27 cm2 Az=4.10 cm2 Ax=10.32 cm2
ea=0.4 cm Iy=171.01 cm4 Iz=15.92 cm4 Ix=1.21 cm4
es=0.6 cm Wely=34.20 cm3 Welz=5.79 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.02/10.32 = -0.23 MPa
SigFy = 1.01/34.20 = 29.65 MPa
SigFz = 0.10/5.79 = 17.69 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=0.88 D=2.24 Sig D=115.67 MPa
lD_sup=1.84 m C=0.97 kD=1.26
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN + kD*SigFy + SigFz = -0.23 + 1.26*29.65 + 17.69 = 54.94 < 235.00 MPa (3.731)
1.54*Tauy = 1.54*0.27 = 0.41 < 235.00 MPa (1.313)
1.54*Tauz = |1.54*-5.24| = |-8.07| < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.1 cm < uy max = L/200.00 = 1.8 cm Vérifié
Cas de charge décisif: 14 DEP /5/ 1*1.00 + 2*1.00 + 6*1.00
uz = 0.4 cm < uz max = L/200.00 = 1.8 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 58 Panne_58 POINT: 2 COORDONNEE: x = 0.50 L = 1.84 m
----------------------------------------------------------------------------------------------------------------------------- -----------

Page 45
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: IPE 100

ht=10.0 cm
bf=5.5 cm Ay=6.27 cm2 Az=4.10 cm2 Ax=10.32 cm2
ea=0.4 cm Iy=171.01 cm4 Iz=15.92 cm4 Ix=1.21 cm4
es=0.6 cm Wely=34.20 cm3 Welz=5.79 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = 0.02/10.32 = 0.15 MPa
SigFy = 1.39/34.20 = 40.78 MPa
SigFz = 0.05/5.79 = 8.83 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=1.14 D=2.24 Sig D=150.50 MPa
lD_inf=1.84 m C=0.97 kD=1.08
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
Ly=3.68 m Muy=1657.01 Lz=3.68 m Muz=617.03
Lfy=3.68 m k1y=1.00 Lfz=1.84 m k1z=1.00
Lambda y=90.40 kFy=1.00 Lambda z=148.14 kFz=1.00
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
k1*SigN + kD*kFy*SigFy + kFz*SigFz = 1.00*0.15 + 1.08*1.00*40.78 + 1.00*8.83 = 53.27 < 235.00 MPa (3.731)
1.54*Tauy = 1.54*0.00 = 0.01 < 235.00 MPa (1.313)
1.54*Tauz = |1.54*-0.43| = |-0.67| < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.1 cm < uy max = L/200.00 = 1.8 cm Vérifié
Cas de charge décisif: 14 DEP /1/ 1*1.00 + 2*1.00
uz = 0.5 cm < uz max = L/200.00 = 1.8 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 59 Panne_59 POINT: 2 COORDONNEE: x = 0.50 L = 1.84 m

Page 46
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: IPE 100

ht=10.0 cm
bf=5.5 cm Ay=6.27 cm2 Az=4.10 cm2 Ax=10.32 cm2
ea=0.4 cm Iy=171.01 cm4 Iz=15.92 cm4 Ix=1.21 cm4
es=0.6 cm Wely=34.20 cm3 Welz=5.79 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.00/10.32 = -0.02 MPa
SigFy = 1.38/34.20 = 40.46 MPa
SigFz = 0.05/5.79 = 8.79 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=1.14 D=2.24 Sig D=150.50 MPa
lD_inf=1.84 m C=0.97 kD=1.08
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN + kD*SigFy + SigFz = -0.02 + 1.08*40.46 + 8.79 = 52.65 < 235.00 MPa (3.731)
1.54*Tauy = 1.54*0.00 = 0.00 < 235.00 MPa (1.313)
1.54*Tauz = |1.54*-0.45| = |-0.69| < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.1 cm < uy max = L/200.00 = 1.8 cm Vérifié
Cas de charge décisif: 14 DEP /5/ 1*1.00 + 2*1.00 + 6*1.00
uz = 0.5 cm < uz max = L/200.00 = 1.8 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 60 Panne_60 POINT: 1 COORDONNEE: x = 0.00 L = 0.00 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:

Page 47
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75

----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE LA SECTION: IPE 100

ht=10.0 cm
bf=5.5 cm Ay=6.27 cm2 Az=4.10 cm2 Ax=10.32 cm2
ea=0.4 cm Iy=171.01 cm4 Iz=15.92 cm4 Ix=1.21 cm4
es=0.6 cm Wely=34.20 cm3 Welz=5.79 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.02/10.32 = -0.18 MPa
SigFy = 1.03/34.20 = 30.07 MPa
SigFz = 0.11/5.79 = 18.78 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=0.88 D=2.24 Sig D=115.67 MPa
lD_sup=1.84 m C=0.97 kD=1.26
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN + kD*SigFy + SigFz = -0.18 + 1.26*30.07 + 18.78 = 56.61 < 235.00 MPa (3.731)
1.54*Tauy = 1.54*0.27 = 0.42 < 235.00 MPa (1.313)
1.54*Tauz = |1.54*-5.26| = |-8.09| < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.1 cm < uy max = L/200.00 = 1.8 cm Vérifié
Cas de charge décisif: 14 DEP /5/ 1*1.00 + 2*1.00 + 6*1.00
uz = 0.4 cm < uz max = L/200.00 = 1.8 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 61 Panne_61 POINT: 1 COORDONNEE: x = 0.00 L = 0.00 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------

Page 48
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: IPE 100

ht=10.0 cm
bf=5.5 cm Ay=6.27 cm2 Az=4.10 cm2 Ax=10.32 cm2
ea=0.4 cm Iy=171.01 cm4 Iz=15.92 cm4 Ix=1.21 cm4
es=0.6 cm Wely=34.20 cm3 Welz=5.79 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = 0.00/10.32 = 0.02 MPa
SigFy = 1.49/34.20 = 43.59 MPa
SigFz = 0.11/5.79 = 18.29 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE DEVERSEMENT:
z=1.00 B=0.88 D=2.24 Sig D=115.67 MPa
lD_sup=1.84 m C=0.97 kD=1.26
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
Ly=3.68 m Muy=11641.54 Lz=3.68 m Muz=4335.03
Lfy=3.68 m k1y=1.00 Lfz=1.84 m k1z=1.00
Lambda y=90.40 kFy=1.00 Lambda z=148.14 kFz=1.00
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
k1*SigN + kD*kFy*SigFy + kFz*SigFz = 1.00*0.02 + 1.26*1.00*43.59 + 1.00*18.29 = 73.43 < 235.00 MPa (3.731)
1.54*Tauy = 1.54*0.27 = 0.42 < 235.00 MPa (1.313)
1.54*Tauz = |1.54*-5.56| = |-8.57| < 235.00 MPa (1.313)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.1 cm < uy max = L/200.00 = 1.8 cm Vérifié
Cas de charge décisif: 14 DEP /5/ 1*1.00 + 2*1.00 + 6*1.00
uz = 0.3 cm < uz max = L/200.00 = 1.8 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------------------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 70 Diagonale_70 POINT: 1 COORDONNEE: x = 0.00 L = 0.00 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75

Page 49
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----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: CAE 40x4

ht=4.0 cm
bf=4.0 cm Ay=1.60 cm2 Az=1.60 cm2 Ax=3.08 cm2
ea=0.4 cm Iy=4.47 cm4 Iz=4.47 cm4 Ix=0.16 cm4
es=0.4 cm Wely=1.55 cm3 Welz=1.55 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.30/3.08 = -9.51 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE DEVERSEMENT:
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN = | -9.51 | < 235.00 MPa (1.311)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.0 cm < uy max = L/200.00 = 2.4 cm Vérifié
Cas de charge décisif: 14 DEP /3/ 1*1.00 + 2*1.00 + 4*1.00
uz = 0.0 cm < uz max = L/200.00 = 2.4 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------------------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 71 Diagonale_71 POINT: 3 COORDONNEE: x = 1.00 L = 4.81 m
----------------------------------------------------------------------------------------------------------------------------- -----------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: CAE 40x4

ht=4.0 cm

Page 50
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Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

bf=4.0 cm Ay=1.60 cm2 Az=1.60 cm2 Ax=3.08 cm2

ea=0.4 cm Iy=4.47 cm4 Iz=4.47 cm4 Ix=0.16 cm4
es=0.4 cm Wely=1.55 cm3 Welz=1.55 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = 0.27/3.08 = 8.75 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE DEVERSEMENT:
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN = 8.75 < 235.00 MPa (1.312)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.0 cm < uy max = L/200.00 = 2.4 cm Vérifié
Cas de charge décisif: 6 Vent 90 deg dép.(-)
uz = 0.0 cm < uz max = L/200.00 = 2.4 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------------------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 72 Diagonale_72 POINT: 1 COORDONNEE: x = 0.00 L = 0.00 m
----------------------------------------------------------------------------------------------------------------------------- -----------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: CAE 40x4

ht=4.0 cm
bf=4.0 cm Ay=1.60 cm2 Az=1.60 cm2 Ax=3.08 cm2
ea=0.4 cm Iy=4.47 cm4 Iz=4.47 cm4 Ix=0.16 cm4
es=0.4 cm Wely=1.55 cm3 Welz=1.55 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.29/3.08 = -9.20 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE DEVERSEMENT:

Page 51
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----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN = | -9.20 | < 235.00 MPa (1.311)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.0 cm < uy max = L/200.00 = 2.4 cm Vérifié
Cas de charge décisif: 14 DEP /2/ 1*1.00 + 2*1.00 + 3*1.00
uz = 0.0 cm < uz max = L/200.00 = 2.4 cm Vérifié
Cas de charge décisif: 14 DEP /4/ 1*1.00 + 2*1.00 + 5*1.00

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------------------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 73 Diagonale_73 POINT: 3 COORDONNEE: x = 1.00 L = 4.81 m
----------------------------------------------------------------------------------------------------------------------------- -----------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: CAE 40x4

ht=4.0 cm
bf=4.0 cm Ay=1.60 cm2 Az=1.60 cm2 Ax=3.08 cm2
ea=0.4 cm Iy=4.47 cm4 Iz=4.47 cm4 Ix=0.16 cm4
es=0.4 cm Wely=1.55 cm3 Welz=1.55 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = 0.29/3.08 = 9.20 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE DEVERSEMENT:
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN = 9.20 < 235.00 MPa (1.312)
----------------------------------------------------------------------------------------------------------------------------- -----------

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Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.0 cm < uy max = L/200.00 = 2.4 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)
uz = 0.0 cm < uz max = L/200.00 = 2.4 cm Vérifié
Cas de charge décisif: 14 DEP /2/ 1*1.00 + 2*1.00 + 3*1.00

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------------------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 74 Diagonale_74 POINT: 1 COORDONNEE: x = 0.00 L = 0.00 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: CAE 40x4

ht=4.0 cm
bf=4.0 cm Ay=1.60 cm2 Az=1.60 cm2 Ax=3.08 cm2
ea=0.4 cm Iy=4.47 cm4 Iz=4.47 cm4 Ix=0.16 cm4
es=0.4 cm Wely=1.55 cm3 Welz=1.55 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.26/3.08 = -8.31 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE DEVERSEMENT:
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN = | -8.31 | < 235.00 MPa (1.311)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.0 cm < uy max = L/200.00 = 2.4 cm Vérifié
Cas de charge décisif: 6 Vent 90 deg dép.(-)
uz = 0.0 cm < uz max = L/200.00 = 2.4 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

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Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------------------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 75 Diagonale_75 POINT: 3 COORDONNEE: x = 1.00 L = 4.81 m
----------------------------------------------------------------------------------------------------------------------------- -----------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE LA SECTION: CAE 40x4

ht=4.0 cm
bf=4.0 cm Ay=1.60 cm2 Az=1.60 cm2 Ax=3.08 cm2
ea=0.4 cm Iy=4.47 cm4 Iz=4.47 cm4 Ix=0.16 cm4
es=0.4 cm Wely=1.55 cm3 Welz=1.55 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = 0.20/3.08 = 6.27 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE DEVERSEMENT:
----------------------------------------------------------------------------------- -----------------------------------------------------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN = 6.27 < 235.00 MPa (1.312)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.0 cm < uy max = L/200.00 = 2.4 cm Vérifié
Cas de charge décisif: 14 DEP /9/ 1*1.00 + 2*1.00 + 10*1.00
uz = 0.0 cm < uz max = L/200.00 = 2.4 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------------------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
Page 54
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Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

TYPE D'ANALYSE: Vérification des pièces

----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 76 Diagonale_76 POINT: 1 COORDONNEE: x = 0.00 L = 0.00 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: CAE 40x4

ht=4.0 cm
bf=4.0 cm Ay=1.60 cm2 Az=1.60 cm2 Ax=3.08 cm2
ea=0.4 cm Iy=4.47 cm4 Iz=4.47 cm4 Ix=0.16 cm4
es=0.4 cm Wely=1.55 cm3 Welz=1.55 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.29/3.08 = -9.25 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE DEVERSEMENT:
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN = | -9.25 | < 235.00 MPa (1.311)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.0 cm < uy max = L/200.00 = 2.3 cm Vérifié
Cas de charge décisif: 14 DEP /6/ 1*1.00 + 2*1.00 + 7*1.00
uz = 0.0 cm < uz max = L/200.00 = 2.3 cm Vérifié
Cas de charge décisif: 9 Vent 270 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 77 Diagonale_77 POINT: 3 COORDONNEE: x = 1.00 L = 4.69 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------

Page 55
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Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: CAE 40x4

ht=4.0 cm
bf=4.0 cm Ay=1.60 cm2 Az=1.60 cm2 Ax=3.08 cm2
ea=0.4 cm Iy=4.47 cm4 Iz=4.47 cm4 Ix=0.16 cm4
es=0.4 cm Wely=1.55 cm3 Welz=1.55 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = 0.27/3.08 = 8.52 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE DEVERSEMENT:
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN = 8.52 < 235.00 MPa (1.312)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.0 cm < uy max = L/200.00 = 2.3 cm Vérifié
Cas de charge décisif: 14 DEP /5/ 1*1.00 + 2*1.00 + 6*1.00
uz = 0.0 cm < uz max = L/200.00 = 2.3 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------------------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 78 Diagonale_78 POINT: 1 COORDONNEE: x = 0.00 L = 0.00 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: CAE 40x4

ht=4.0 cm
bf=4.0 cm Ay=1.60 cm2 Az=1.60 cm2 Ax=3.08 cm2

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Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

ea=0.4 cm Iy=4.47 cm4 Iz=4.47 cm4 Ix=0.16 cm4

es=0.4 cm Wely=1.55 cm3 Welz=1.55 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.28/3.08 = -8.88 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE DEVERSEMENT:
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN = | -8.88 | < 235.00 MPa (1.311)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.0 cm < uy max = L/200.00 = 2.3 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)
uz = 0.0 cm < uz max = L/200.00 = 2.3 cm Vérifié
Cas de charge décisif: 14 DEP /2/ 1*1.00 + 2*1.00 + 3*1.00

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------------------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 79 Diagonale_79 POINT: 3 COORDONNEE: x = 1.00 L = 4.69 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: CAE 40x4

ht=4.0 cm
bf=4.0 cm Ay=1.60 cm2 Az=1.60 cm2 Ax=3.08 cm2
ea=0.4 cm Iy=4.47 cm4 Iz=4.47 cm4 Ix=0.16 cm4
es=0.4 cm Wely=1.55 cm3 Welz=1.55 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = 0.28/3.08 = 8.89 MPa
----------------------------------------------------------------------------------------------------------------------------- -----------

PARAMETRES DE DEVERSEMENT:
------------------------------------------------------------------------------------- ---------------------------------------------------

Page 57
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Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN = 8.89 < 235.00 MPa (1.312)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.0 cm < uy max = L/200.00 = 2.3 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)
uz = 0.0 cm < uz max = L/200.00 = 2.3 cm Vérifié
Cas de charge décisif: 14 DEP /8/ 1*1.00 + 2*1.00 + 9*1.00

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------- -----------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 80 Diagonale_80 POINT: 1 COORDONNEE: x = 0.00 L = 0.00 m
----------------------------------------------------------------------------------------------------------------------------------------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: CAE 40x4

ht=4.0 cm
bf=4.0 cm Ay=1.60 cm2 Az=1.60 cm2 Ax=3.08 cm2
ea=0.4 cm Iy=4.47 cm4 Iz=4.47 cm4 Ix=0.16 cm4
es=0.4 cm Wely=1.55 cm3 Welz=1.55 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = -0.25/3.08 = -7.95 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE DEVERSEMENT:
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN = | -7.95 | < 235.00 MPa (1.311)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Page 58
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Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

Flèches (REPERE LOCAL):

uy = 0.0 cm < uy max = L/200.00 = 2.3 cm Vérifié
Cas de charge décisif: 14 DEP /4/ 1*1.00 + 2*1.00 + 5*1.00
uz = 0.0 cm < uz max = L/200.00 = 2.3 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

----------------------------------------------------------------------------------------------------------------------------------------
Profil correct !!!

CALCUL DES STRUCTURES ACIER

----------------------------------------------------------------------------------------------------------------------------- -----------
NORME: CM66
TYPE D'ANALYSE: Vérification des pièces
----------------------------------------------------------------------------------------------------------------------------- -----------
FAMILLE:
PIECE: 81 Diagonale_81 POINT: 1 COORDONNEE: x = 0.00 L = 0.00 m
----------------------------------------------------------------------------------------------------------------------------- -----------
CHARGEMENTS:
Cas de charge décisif: 11 EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
----------------------------------------------------------------------------------------------------------------------------- -----------
MATERIAU:
ACIER fy = 235.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE LA SECTION: CAE 40x4

ht=4.0 cm
bf=4.0 cm Ay=1.60 cm2 Az=1.60 cm2 Ax=3.08 cm2
ea=0.4 cm Iy=4.47 cm4 Iz=4.47 cm4 Ix=0.16 cm4
es=0.4 cm Wely=1.55 cm3 Welz=1.55 cm3
----------------------------------------------------------------------------------------------------------------------------- -----------
CONTRAINTES: SigN = 0.19/3.08 = 6.00 MPa
----------------------------------------------------------------------------------------------------------------------------------------

PARAMETRES DE DEVERSEMENT:
----------------------------------------------------------------------------------------------------------------------------- -----------
PARAMETRES DE FLAMBEMENT:

en y: en z:
----------------------------------------------------------------------------------------------------------------------------- -----------
FORMULES DE VERIFICATION:
SigN = 6.00 < 235.00 MPa (1.312)
----------------------------------------------------------------------------------------------------------------------------- -----------
DEPLACEMENTS LIMITES

Flèches (REPERE LOCAL):

uy = 0.0 cm < uy max = L/200.00 = 2.3 cm Vérifié
Cas de charge décisif: 14 DEP /2/ 1*1.00 + 2*1.00 + 3*1.00
uz = 0.0 cm < uz max = L/200.00 = 2.3 cm Vérifié
Cas de charge décisif: 3 Vent 0 deg sur.(+)

Déplacements (REPERE GLOBAL): Non analysé

Page 59
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Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

----------------------------------------------------------------------------------------------------------------------------------------
Profil correct !!!

Page 60
 Réf:351/23
Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

III. ASSEMBLAGE
III.1 Assemblage poteau-traverse gauche

Autodesk Robot Structural Analysis Professional 2021

Calcul de l'Encastrement Traverse-Poteau

Ratio
NF P 22-430 0,79

Page 61
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Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

GENERAL
Assemblage N°: 2
Nom de l’assemblage : Angle de portique
Noeud de la structure: 27
Barres de la structure: 21, 23

GEOMETRIE

POTEAU
Profilé: IPE 160
Barre N°: 21
= -90,0 [Deg] Angle d'inclinaison
hc = 160 [mm] Hauteur de la section du poteau
bfc = 82 [mm] Largeur de la section du poteau
twc = 5 [mm] Epaisseur de l'âme de la section du poteau
tfc = 7 [mm] Epaisseur de l'aile de la section du poteau
rc = 9 [mm] Rayon de congé de la section du poteau
2
Ac = 20,09 [cm ] Aire de la section du poteau
4
Ixc = 869,29 [cm ] Moment d'inertie de la section du poteau
Matériau: ACIER
ec = 235,00 [MPa] Résistance

POUTRE
Profilé: IPE 160
Barre N°: 23
= -10,0 [Deg] Angle d'inclinaison
hb = 160 [mm] Hauteur de la section de la poutre
bf = 82 [mm] Largeur de la section de la poutre
twb = 5 [mm] Epaisseur de l'âme de la section de la poutre
tfb = 7 [mm] Epaisseur de l'aile de la section de la poutre
rb = 9 [mm] Rayon de congé de la section de la poutre
rb = 9 [mm] Rayon de congé de la section de la poutre
2
Ab = 20,09 [cm ] Aire de la section de la poutre
4
Ixb = 869,29 [cm ] Moment d'inertie de la poutre
Matériau: ACIER
eb = 235,00 [MPa] Résistance

BOULONS
Le plan de cisaillement passe par la partie NON FILETÉE du boulon
d= 16 [mm] Diamètre du boulon
Classe = 8.8 Classe du boulon
Fb = 7,04 [T] Résistance du boulon à la rupture
nh = 2 Nombre de colonnes des boulons
nv = 5 Nombre de rangéss des boulons
h1 = 40 [mm] Pince premier boulon-extrémité supérieure de la platine d'about
Ecartement ei = 40 [mm]
Entraxe pi = 50;50;80;60 [mm]

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Note de calcul de la couverture en charpente métallique Sidi Hssine 2023

PLATINE
hp = 342 [mm] Hauteur de la platine
bp = 82 [mm] Largeur de la platine
tp = 15 [mm] Epaisseur de la platine
Matériau: ACIER
ep = 235,00 [MPa] Résistance

JARRET INFERIEUR
wd = 82 [mm] Largeur de la platine
tfd = 7 [mm] Epaisseur de l'aile
hd = 160 [mm] Hauteur de la platine
twd = 5 [mm] Epaisseur de l'âme
ld = 929 [mm] Longueur de la platine
= -0,1 [Deg] Angle d'inclinaison
Matériau: ACIER
ebu = 235,00 [MPa] Résistance

RAIDISSEUR POTEAU
Supérieur
hsu = 145 [mm] Hauteur du raidisseur
bsu = 38 [mm] Largeur du raidisseur
thu = 8 [mm] Epaisseur du raidisseur
Matériau: ACIER
esu = 235,00 [MPa] Résistance
Inférieur
hsd = 145 [mm] Hauteur du raidisseur
bsd = 38 [mm] Largeur du raidisseur
thd = 8 [mm] Epaisseur du raidisseur
Matériau: ACIER
esu = 235,00 [MPa] Résistance

SOUDURES D'ANGLE
aw = 4 [mm] Soudure âme
af = 6 [mm] Soudure semelle
as = 4 [mm] Soudure du raidisseur
afd = 5 [mm] Soudure horizontale

EFFORTS
Cas: 11: EFF /19/ 1*1.00 + 2*1.00 + 3*1.75
My = -17,49 [kN*m] Moment fléchissant
Fz = -1,00 [T] Effort tranchant
Fx = 0,30 [T] Effort axial

RESULTATS

DISTANCES DE CALCUL

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Boul
on Type a1 a2 a3 a4 a5 a6 a'1 a'2 a'3 a'4 a'5 a'6 s s1 s2
N°
Intéri
1 12 18 37 45 8 18 39 44
eurs
Centra
2 12 18 8 18 70
ux
Centra
3 12 18 8 18 65
ux
Centra
4 12 18 8 18 50
ux
x= 30 [mm] Zone comprimée x = es*(b/ea)

EFFORTS PAR BOULON - EFFORTS PAR BOULON - METHODE PLASTIQUE

Boulo
di Ft Fa Fs Fp Fb Fi pi [%]
n N°
1 266 12,01 0,00 12,86 7,45 7,04 > 1,79 100,00
2 206 6,78 4,19 6,78 4,66 7,04 > 1,39 100,00
3 126 6,68 3,89 6,29 4,59 7,04 > 0,86 100,00
4 76 6,28 3,00 4,84 4,32 7,04 > 0,53 100,00
di – position du boulon
Ft – effort transféré par la platine de l'élément aboutissant
Fa – effort transféré par l'âme de l'élément aboutissant
Fs – effort transféré par la soudure
Fp – effort transféré par l'aile du porteur
Fb – effort transféré par le boulon
Fi – effort sollicitant réel
Fi ≤ min(Fti , Fai, Fsi, Fpi, Fbi) 1,39 < 4,19 vérifié (0,33)
Traction des boulons
1.25*Fimax/As ≤ red |139,52| < 550,00 vérifié (0,25)
Action simultanée de l'effort de traction et de cisaillement dans le boulon
[Fimax +2.36*Ti ]/A ≤ red
2 2
|87,48| < 550,00 vérifié (0,16)
T1 = 0,10 [T] Effort tranchant dans le boulon
Tb = 7,32 [T] Résistance du boulon au cisaillement
Effort tranchant [9.2.2.1]
T1 ≤ Tb 0,10 < 7,32 vérifié (0,01)

VERIFICATION DE LA POUTRE
Fres = 8,54 [T] Effort de compression Fres = 2*∑Fi - 2*N
Compression réduite de la semelle [9.2.2.2.2]
Nc adm = 18,53 [T] Résistance de la section de la poutre Ncadm = Abc*e + N*Abc/Ab
Fres ≤ Nc adm 8,54 < 18,53 vérifié (0,46)

VERIFICATION DU POTEAU
Compression de l'âme du poteau [9.2.2.2.2]
Fres ≤ Fpot 8,54 < 30,04 vérifié (0,28)
Cisaillement de l'âme du poteau - (recommandation C.T.I.C.M)
VR = 10,88 [T] Effort tranchant dans l'âme VR = 0.47*Av*e
|Fres| ≤ VR |8,54| < 10,88 vérifié (0,79)

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REMARQUES
Pince du boulon à l'âme du profil trop faible. 18 [mm] < 27 [mm]
Pince du boulon trop faible. 21 [mm] < 27 [mm]
Entraxe des boulons trop faible. 50 [mm] < 54 [mm]
Boulon face à la semelle ou trop proche de la semelle. 22 [mm] < 24 [mm]

Assemblage satisfaisant vis à vis de la Norme Ratio 0,79

III.2 Assemblage poteau-traverse droite

Autodesk Robot Structural Analysis Professional 2021

Calcul de l'Encastrement Traverse-Poteau

Ratio
NF P 22-430 0,79

GENERAL
Assemblage N°: 3
Nom de l’assemblage : Angle de portique
Noeud de la structure: 28
Barres de la structure: 22, 23

GEOMETRIE

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POTEAU
Profilé: IPE 160
Barre N°: 22
= -90,0 [Deg] Angle d'inclinaison
hc = 160 [mm] Hauteur de la section du poteau
bfc = 82 [mm] Largeur de la section du poteau
twc = 5 [mm] Epaisseur de l'âme de la section du poteau
tfc = 7 [mm] Epaisseur de l'aile de la section du poteau
rc = 9 [mm] Rayon de congé de la section du poteau
2
Ac = 20,09 [cm ] Aire de la section du poteau
4
Ixc = 869,29 [cm ] Moment d'inertie de la section du poteau
Matériau: ACIER
ec = 235,00 [MPa] Résistance

POUTRE
Profilé: IPE 160
Barre N°: 23
= 10,0 [Deg] Angle d'inclinaison
hb = 160 [mm] Hauteur de la section de la poutre
bf = 82 [mm] Largeur de la section de la poutre
twb = 5 [mm] Epaisseur de l'âme de la section de la poutre
tfb = 7 [mm] Epaisseur de l'aile de la section de la poutre
rb = 9 [mm] Rayon de congé de la section de la poutre
rb = 9 [mm] Rayon de congé de la section de la poutre
2
Ab = 20,09 [cm ] Aire de la section de la poutre
4
Ixb = 869,29 [cm ] Moment d'inertie de la poutre
Matériau: ACIER
eb = 235,00 [MPa] Résistance

BOULONS
Le plan de cisaillement passe par la partie NON FILETÉE du boulon
d= 14 [mm] Diamètre du boulon
Classe = 8.8 Classe du boulon
Fb = 5,16 [T] Résistance du boulon à la rupture
nh = 2 Nombre de colonnes des boulons
nv = 5 Nombre de rangéss des boulons
h1 = 40 [mm] Pince premier boulon-extrémité supérieure de la platine d'about
Ecartement ei = 40 [mm]
Entraxe pi = 50;50;80;60 [mm]

PLATINE
hp = 342 [mm] Hauteur de la platine
bp = 82 [mm] Largeur de la platine
tp = 15 [mm] Epaisseur de la platine
Matériau: ACIER
ep = 235,00 [MPa] Résistance

JARRET INFERIEUR
wd = 82 [mm] Largeur de la platine
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JARRET INFERIEUR
wd = 82 [mm] Largeur de la platine
tfd = 7 [mm] Epaisseur de l'aile
hd = 160 [mm] Hauteur de la platine
twd = 5 [mm] Epaisseur de l'âme
ld = 929 [mm] Longueur de la platine
= 19,3 [Deg] Angle d'inclinaison
Matériau: ACIER
ebu = 235,00 [MPa] Résistance

RAIDISSEUR POTEAU
Supérieur
hsu = 145 [mm] Hauteur du raidisseur
bsu = 38 [mm] Largeur du raidisseur
thu = 8 [mm] Epaisseur du raidisseur
Matériau: ACIER
esu = 235,00 [MPa] Résistance
Inférieur
hsd = 145 [mm] Hauteur du raidisseur
bsd = 38 [mm] Largeur du raidisseur
thd = 8 [mm] Epaisseur du raidisseur
Matériau: ACIER
esu = 235,00 [MPa] Résistance

SOUDURES D'ANGLE
aw = 4 [mm] Soudure âme
af = 6 [mm] Soudure semelle
as = 4 [mm] Soudure du raidisseur
afd = 5 [mm] Soudure horizontale

EFFORTS
Cas: 11: EFF /8/ 1*1.33 + 2*1.33 + 8*1.50
My = 16,91 [kN*m] Moment fléchissant
Fz = 1,04 [T] Effort tranchant
Fx = -0,69 [T] Effort axial

RESULTATS

DISTANCES DE CALCUL
Boul
on Type a1 a2 a3 a4 a5 a6 a'1 a'2 a'3 a'4 a'5 a'6 s s1 s2
N°
Intéri
1 12 18 14 22 8 18 16 22
eurs
Centra
2 12 18 8 18 50
ux
Centra
3 12 18 8 18 65
ux

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Boul
on Type a1 a2 a3 a4 a5 a6 a'1 a'2 a'3 a'4 a'5 a'6 s s1 s2
N°
Centra
4 12 18 8 18 70
ux
Centra
5 12 18 8 18 60
ux
x= 30 [mm] Zone comprimée x = es*(b/ea)

EFFORTS PAR BOULON - EFFORTS PAR BOULON - METHODE PLASTIQUE

Boulo
di Ft Fa Fs Fp Fb Fi pi [%]
n N°
1 289 13,08 0,00 10,19 7,73 5,16 > 1,24 100,00
2 239 6,28 3,00 4,84 4,32 5,16 > 1,01 100,00
3 189 6,68 3,89 6,29 4,59 5,16 > 0,79 100,00
4 109 6,78 4,19 6,78 4,66 5,16 > 0,42 100,00
5 49 6,56 3,59 5,81 4,51 5,16 > 0,15 100,00
di – position du boulon
Ft – effort transféré par la platine de l'élément aboutissant
Fa – effort transféré par l'âme de l'élément aboutissant
Fs – effort transféré par la soudure
Fp – effort transféré par l'aile du porteur
Fb – effort transféré par le boulon
Fi – effort sollicitant réel
Fi ≤ min(Fti , Fai, Fsi, Fpi, Fbi) 1,01 < 3,00 vérifié (0,34)
Traction des boulons
1.25*Fimax/As ≤ red |132,24| < 550,00 vérifié (0,24)
Action simultanée de l'effort de traction et de cisaillement dans le boulon
[Fimax +2.36*Ti ]/A ≤ red
2 2
|79,68| < 550,00 vérifié (0,14)
T1 = 0,10 [T] Effort tranchant dans le boulon
Tb = 5,61 [T] Résistance du boulon au cisaillement
Effort tranchant [9.2.2.1]
T1 ≤ Tb 0,10 < 5,61 vérifié (0,02)

VERIFICATION DE LA POUTRE
Fres = 8,62 [T] Effort de compression Fres = 2*∑Fi - 2*N
Compression réduite de la semelle [9.2.2.2.2]
Nc adm = 17,87 [T] Résistance de la section de la poutre Ncadm = Abc*e + N*Abc/Ab
Fres ≤ Nc adm 8,62 < 17,87 vérifié (0,48)

VERIFICATION DU POTEAU
Compression de l'âme du poteau [9.2.2.2.2]
Fres ≤ Fpot 8,62 < 30,03 vérifié (0,29)
Cisaillement de l'âme du poteau - (recommandation C.T.I.C.M)
VR = 10,88 [T] Effort tranchant dans l'âme VR = 0.47*Av*e
|Fres| ≤ VR |8,62| < 10,88 vérifié (0,79)

REMARQUES
Pince du boulon à l'âme du profil trop faible. 18 [mm] < 23 [mm]

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Pince du boulon à l'âme du profil trop faible. 18 [mm] < 23 [mm]

Pince du boulon trop faible. 21 [mm] < 23 [mm]
Boulon face à la semelle ou trop proche de la semelle. 17 [mm] < 21 [mm]

Assemblage satisfaisant vis à vis de la Norme Ratio 0,79

III.3 Assemblage Panne-traverse

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