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726_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 726_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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720 CHAPTER 9 Deflections of Beams (4) B . C . (5) B . C . (6) B . C . (7) From (5)–(7) C 1 53 5760 q 0 L 3 C 3 83 5760 q 0 L 3 + C 4 13 5760 q 0 L 4 + 1 2 C 1 L 5 1152 q o L 4 + 1 2 C 3 L L a L 2 b R a L 2 b 1 96 q 0 L 3 + C 1 1 64 q 0 L 3 + C 3 ¿ L a L 2 b ¿ R a L 2 b ( L ) 0 0 q 0 L 4 72 + C 3 L + C 4 + C 3 x + C 4 EI Lq 0 24 a x 3 6 + Lx 2 2 b d C a L 2 b 3 q 0 L 4 1280 EI ; + 83 L 2 x 3 L 3 ) ; ( x ) Lq 0 5760 EI (40 x 3 120 Lx 2 For L 2 x L + 96 x 4 53 L 4 ) ; ( x ) q 0 x 5760 LEI (200 x 2 L 2 240 x 3 L For 0 x L 2 C 4 1 1920 q 0 L 4 Problem 9.3-17 The beam shown in the figure has a guided support at A and a roller support at B . The guided support permits vertical movement but no rotation. Derive the equation of the deflection curve and determine the deflection d A at end A and also d C at point C due to the uniform load of intensity q P/L applied over segment CB and load P at x L /3. ( Note

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