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684_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

684_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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678 CHAPTER 8 Applications of Plane Stress Solution 8.5-3 P compressive force T Torque d 2 outer diameter d 1 inner diameter P 62 k T 185 k in. d 2 6.2 in. t 0.75 in. d 1 d 2 2 t d 1 4.7 in. A 12.841 in. 2 I p 97.16 in. 4 S TRESSES AT THE OUTER SURFACE I p p 32 a d 2 4 d 1 4 b A p 4 a d 2 2 d 1 2 b # t xy 5903 psi P RINCIPAL STRESSES s 1 3963 psi s 2 8791 psi M AXIMUM TENSILE STRESS s t s 1 M AXIMUM COMPRESSIVE STRESS s c s 2 M AXIMUM IN - PLANESHEAR STRESS N OTE : Since the principal stresses have opposite signs, the maximum in-plane shear is larger than the maximum out-of-plane shear stress. t max 6377 psi ; t max A a s x s y 2 b + t xy 2 s c 8791 psi ; s t 3963 psi ; s 2 s x + s y 2 A a s x s y 2 b 2 + t xy 2 s 1 s x + s y 2 + A a s x s y 2 b 2 + t xy 2 t xy T a d 2 2 b I
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