10_ch 20 Mechanical Design budynas_SM_ch20

# 10_ch 20 Mechanical Design budynas_SM_ch20 - 7 14 750 =-14...

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(b) Eq. (20-35) s ˆ m = 0 . 556 2 . 0333 = 0 . 3899 lbf/in k = (9 . 7656, 0 . 3899) lbf/in Ans. 20-12 The expression ± = δ / l is of the form x / y . Now δ = ( 0 . 0015 , 0 . 000 092 ) in, unspeciﬁed distribution; l = (2.000, 0.0081) in, unspeciﬁed distribution; C x = 0 . 000 092 / 0 . 0015 = 0 . 0613 C y = 0 . 0081 / 2 . 000 = 0 . 000 75 From Table 20-6, ¯ ± = 0 . 0015 / 2 . 000 = 0 . 000 75 ˆ σ ± = 0 . 000 75 ± 0 . 0613 2 + 0 . 004 05 2 1 + 0 . 004 05 2 ² 1 / 2 = 4 . 607 ( 10 5 ) = 0 . 000 046 We can predict ¯ ± and ˆ σ ± but not the distribution of ± . 20-13 σ = ± E ± = (0 . 0005, 0 . 000 034) distribution unspeciﬁed; E = (29 . 5, 0 . 885) Mpsi, distribution unspeciﬁed; C x = 0 . 000 034 / 0 . 0005 = 0 . 068 , C y = 0 . 0885 / 29 . 5 = 0 . 030 σ is of the form x , y Table 20-6 ¯ σ ± ¯ E = 0 . 0005 ( 29 . 5 ) 10 6 = 14 750 psi ˆ σ σ = 14 750(0 . 068 2 + 0 . 030 2 + 0 . 068 2 + 0 . 030 2 ) 1 / 2 = 1096 . 7 psi C σ = 1096
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Unformatted text preview: . 7 / 14 750 = . 074 35 20-14 δ = Fl AE F = (14.7, 1.3) kip, A = (0.226, 0.003) in 2 , l = (1.5, 0.004) in, E = (29.5, 0.885) Mpsi dis-tributions unspeciﬁed. C F = 1 . 3 / 14 . 7 = . 0884; C A = . 003 / . 226 = . 0133; C l = . 004 / 1 . 5 = . 00267; C E = . 885 / 29 . 5 = . 03 Mean of δ : δ = Fl AE = Fl ³ 1 A ´³ 1 E ´ 10 Solutions Manual • Instructor’s Solution Manual to Accompany Mechanical Engineering Design...
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