24_ch 04 Mechanical Design budynas_SM_ch04

24_ch 04 Mechanical Design budynas_SM_ch04 -...

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Chapter 4 93 U = 1 2 EI ± l 0 M 2 dx + F 2 AC L AC 2 A AC E δ B = U F = 1 EI ± l 0 M M F dx + F AC ( F AC /∂ F ) L AC A AC E = 1 EI ²± 12 0 F ¯ x ( −¯ x ) d ¯ x + ± 6 0 ( 2 Fx )( 2 x ) dx ³ + 3 F (3)(12) A AC E = 1 EI ² F 3 (12 3 ) + 4 F ´ 6 3 3 µ³ + 108 F A AC E = 864 F EI + 108 F A AC E = 864(80) 10(10 6 )(0 . 1667) + 108(80) 0 . 196 35(10)(10 6 ) = 0 . 045 86 in Ans. 4-48 Torsion T = 0 . 1 F T F = 0 . 1 Bending M =− F ¯ x M F =−¯ x U = 1 2 EI ± M 2 dx + T 2 L 2 JG δ B = U F = 1 EI ± M M F dx + T ( T /∂ F ) L JG = 1 EI ± 0 . 1 0 F ¯ x ( −¯ x ) d ¯ x + 0 . 1 F (0 . 1)(1 . 5) JG = F 3 EI (0 . 1 3 ) + 0 . 015 F JG Where I = π 64 (0 . 012) 4 = 1 . 0179(10 9 )m 4 J = 2 I = 2 . 0358(10
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