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767_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 767_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 9.7 Nonprismatic Beams 761 Solution 9.7-5 Simple beam with a rigid segment B . C . 2 n ( L ) 0 (5) B . C . 3 At , ( n B ) Left ( n B ) Right (Eqs. 1 and 5) Substitute for d B in Eq. (5) and simplify: (6) Also, (7) M AXIMUM DEFLECTION Substitute x 1 in Eq. (6) and simplify: d max max 40 1 5 PL 3 6561 EI 0.01363 PL 3 EI ; max 40 1 5 PL 3 6561 EI v ¿ 0 gives x 1 L 9 (9 2 2 5 ) 0.5031 L a L 3 x L b ¿ P 486 EI ( 61 L 2 + 162 Lx 81 x 2 ) a L 3 x L b P 486 EI (7 L 3 61 L 2 x + 81 L x 2 27 x 3 ) u A d B L /3 8 PL 2 243 EI ; d B 8 PL 3 729 EI ; x L 3 PL 2 54 + 3 EI d B a L 3 x L b EI PLx 2 6 Px 3 18 5 PL 2 x 54 3 EI d B x L C 2 PL 3 54 + 3 EI d B F ROM A TO B (1) (2) F ROM B TO C (3) B . C . 1 At

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767_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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