RESISTANCE DES MATERIAUX

PROPRIETE

SOMMAIRE

1. SCHEMATISATION DES LIAISONS……………………………………………………………………………………………………………………………4

2. EFFORTS INTERIEURS…………………………………………………………………………………………………………………………………………………6

3. DIAGRAMMES…………………………………………………………………………………………………………………………………………………………………6

3.1 ESSAI DE FLEXION…………………………………………………………………………………………………………………………………………………………7

3.2 CORRESPONDANCE ENTRE LES DIAGRAMMES……………………………………………………………………………………………………………….8

3.3 POUTRE ENCASTREE……………………………………………………………………………………………………………………………………………………..9

4. CHARGES REPARTIES………………………………………………………………………………………………………………………………………………..10

4.1 CHARGE REPARTIE UNIFORME…………………………………………………………………………………………………………………………………….10

4.2 CHARGE REPARTIE LINEAIREMENT VARIABLE……………………………………………………………………………………………………………..11

5. CONTRAINTES DE FLEXION…………………………………………………………………………………………………………………………………….12

5.1 CONTRAINTES NORMALES EN FLEXION………………………………………………………………………………………………………………………..12

5.2 CALCUL DES CONSTRUCTIONS…………………………………………………………………………………………………………………………………….13

5.3 CONCENTRATION DE CONTRAINTES EN FLEXION…………………………………………………………………………………………………………15

5.4 CONTRAINTES DE CISAILLEMENT EN FLEXION……………………………………………………………………………………………………………..17

5.4.1 Mise en évidence………………………………………………………………………………………………………………………………………………..17

5.4.2 Cas des poutres rectangulaires…………………………………………………………………………………………………………………………..17

5.4.3 Cas des poutres circulaires………………………………………………………………………………………………………………………………..18

5.4.4 Exemple………………………………………………………………………………………………………………………………………………………………18

6. DEFORMATIONS EN FLEXION…………………………………………………………………………………………………………………………………19

6.1 NOTION DE DEFORMEE………………………………………………………………………………………………………………………………………………..19

6.2 METHODE PAR INTEGRATION………………………………………………………………………………………………………………………………………20

6.2.1 Principe………………………………………………………………………………………………………………………………………………………………20

6.2.2 Exemple………………………………………………………………………………………………………………………………………………………………20