26_ch 20 Mechanical Design budynas_SM_ch20

26_ch 20 Mechanical Design budynas_SM_ch20 -...

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26 Solutions Manual • Instructor’s Solution Manual to Accompany Mechanical Engineering Design Make a table and solve for b iteratively b . = 4 . 068 Using MathCad Ans. θ = x 0 + ¯ x x 0 ± (1 + 1 / b ) = 33 . 8 + 49 33 . 8 ± + 1 / 4 . 068) = 49 . 8 kpsi Ans. 20-36 x = S y = W [34 . 7, 39, 2 . 93] kpsi ¯ x = 34 . 7 + (39 34 . 7) ± + 1 / 2 . 93) = 34 . 7 + 4 . 3 ± . 34) = 34 . 7 + 4 . 3(0 . 892 22) = 38 . 5 kpsi ˆ σ x = 34 . 7)[ ± + 2 / 2 . 93) ± 2 + 1 / 2 . 93)] 1 / 2 = 4 . 3[ ± . 68) ± 2 . 34)] 1 / 2 = 4 . 3[0 . 905 00 0 . 892 22 2 ] 1 / 2 = 1 . 42 kpsi Ans. C x = 1 . 42 / 38 . 5 = 0 . 037 Ans. 20-37 x (Mrev) f fx 2 11 1 1 1 22 2 4 48 8 33 81 14 342 45 7 228 912 53 1 155 775 61 91 14 684 71 5 105 735 2 9 6 768 1 9 9 891 10 9 90 900 7 77 847 12 5 60 720 Sum 78 237 1193 7673 µ x = 1193(10 6 ) / 237
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