41_ch 03 Mechanical Design budynas_SM_ch03

41_ch 03 Mechanical Design budynas_SM_ch03 -...

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Unformatted text preview: budynas_SM_ch03.qxd 54 11/28/2006 21:22 FIRST PAGES Page 54 Solutions Manual • Instructor’s Solution Manual to Accompany Mechanical Engineering Design σ [1 + 1 − (1 + 3)cos 180] = 3σ Ans. 2 σ τr θ = − (1 − 1)(1 + 3)sin 180 = 0 Ans. 2 For side, θ = 0◦ , σ σr = [1 − 1 + (1 − 1)(1 − 3)cos 0] = 0 Ans. 2 σθ = σ [1 + 1 − (1 + 3)cos 0] = −σ Ans. 2 σ = − (1 − 1)(1 + 3)sin 0 = 0 Ans. 2 σθ = τr θ (b) σθ /σ = 100 25 1 1 3 104 3 104 1+ 2 − 1+ 2+ 2 + cos 180 = 2 4r 16 r 4 2 r 16 r 4 r σθ /σ 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3.000 2.071 1.646 1.424 1.297 1.219 1.167 1.132 1.107 1.088 1.074 1.063 1.054 1.048 1.042 1.037 3.0 2.5 2.0 1.5 1.0 0.5 0 0 5 10 r (mm) 15 20 ...
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