25_ch 04 Mechanical Design budynas_SM_ch04

# 25_ch 04 Mechanical Design budynas_SM_ch04 - Ans 4-50 AB M...

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94 Solutions Manual • Instructor’s Solution Manual to Accompany Mechanical Engineering Design 4-49 From Prob. 4-41, I 1 = 0 . 2485 in 4 , I 2 = 0 . 7854 in 4 For a dummy load Q at the center 0 x 10 in M = 1200 x Q 2 x 200 2 ± x 4 ² 2 , M Q = x 2 y | x = 10 = U Q ± ± ± Q = 0 = 2 E ² 1 I 1 ³ 4 0 ( 1200 x ) ´ x 2 µ dx + 1 I 2 ³ 10 4 [1200 x 100 ( x 4 ) 2 ] ´ x 2 µ dx ¾ = 2 E 200(4 3 ) I 1 1 . 566(10 5 ) I 2 · =− 2 30(10 6 ) ¸ 1 . 28(10 4 ) 0 . 2485 + 1 . 566(10 5 ) 0 . 7854 ¹ =− 0 . 016 73 in
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Unformatted text preview: Ans. 4-50 AB M = Fx ∂ M ∂ F = x OA N = 3 5 F ∂ N ∂ F = 3 5 T = 4 5 Fa ∂ T ∂ F = 4 5 a M 1 = 4 5 F ¯ x ∂ M 1 ∂ F = 4 5 ¯ x M 2 = 3 5 Fa ∂ M 2 ∂ F = 3 5 a a O B A F 3 5 F 4 5 a B x A F 3 5 F 4 5 O l l A F 3 5 Fa 3 5 Fa 4 5 F 4 5 x...
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