12_ch 05 Mechanical Design budynas_SM_ch05

12_ch 05 Mechanical Design budynas_SM_ch05 - (a) A , B =...

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126 Solutions Manual • Instructor’s Solution Manual to Accompany Mechanical Engineering Design 5-12 Since ε f < 0 . 05, the material is brittle. Thus, S ut . = S uc and we may use MM which is basically the same as MNS. (a) σ A , σ B = 9, 5 kpsi n = 35 9 = 3 . 89 Ans. (b) σ A , σ B = 12 . 7, 0 . 708 kpsi n = 35 12 . 7 = 2 . 76 Ans. (c) σ A , σ B =− 0 . 910, 12 . 09 kpsi (3rd quadrant) n = 36 12 . 09 = 2 . 98 Ans. (d) σ A , σ B = 11 . 14, 3 . 86 kpsi n = 35 11 . 14 = 3 . 14 Ans. Graphical Solution: (a) n = OB OA = 4 1 = 4 . 0 Ans. (b) n = OD OC = 3 . 45 1 . 28 = 2 . 70 Ans. (c) n = OF OE = 3 . 7 1 . 3 = 2 . 85 Ans. (3rd quadrant) (d) n = OH OG = 3 . 6 1 . 15 = 3 . 13 Ans. 5-13 S ut = 30 kpsi, S uc = 109 kpsi Use MM:
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Unformatted text preview: (a) A , B = 20, 20 kpsi Eq. (5-32 a ): n = 30 20 = 1 . 5 Ans. (b) A , B = (15) 2 = 15, 15 kpsi Eq. (5-32 a ) n = 30 15 = 2 Ans. (c) A , B = 80, 80 kpsi For the 3rd quadrant, there is no solution but use Eq. (5-32 c ). Eq. (5-32 c ): n = 109 80 = 1 . 36 Ans. O G C D A B E F H ( a ) ( c ) ( b ) ( d ) 1 cm 10 kpsi B A...
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