814_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

814_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 10Ch10.qxd 9/27/08 808 7:29 AM Page 808 CHAPTER 10 Statically Indeterminate Beams EIv RB RB x3 x2 x2 + M0 + RBL + C1 x + C2 6 2 2 L3 L2 L2 + M0 + RBL 48 8 8 3 RB 3 L LL + M0 48 22 9 M0 8L RB RB L 3 EIv 2 M0 L 2 x2 2 RB x3 + C3 x + C4 6 EIv L2 8 RB L RB L x2 2 RB x3 L + M0 x 6 2 +a ; RA From eq. (1) RB L DEFLECTION CURVE FOR (L/2 … x … L) From eq. (2) M A v 9 M0 8L ; M0 + 9 M0 L 8L 1 M0 8L RB L3 3 1 9M 0 3 a x EI 48L M0 L2 b 2 9M 0 2 M0 L x+ x 16 2 a ; M 0 L2 b 8 L … x … Lb 2 DEFLECTION CURVE SHEAR FORCE AND BENDING MOMENT DIAGRAMS 2L /3 0 9M0/8L V L /3 L /9 7M0 /16 M –M0 /8 –9M0 /16 DEFLECTION CURVE FOR (0 … x … L/2) EIv v RB x3 x2 x2 + M0 + RBL + C1x + C2 6 2 2 1 9M 0 3 a x EI 48L M0 2 L x b a0 … x … b 16 2 ; δmax = M0L2/72EI ; ...
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