691_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

691_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 8.5 Combined Loadings 685 M AXIMUM TENSILE STRESS s t ± s 1 M AXIMUM COMPRESSIVE STRESS s c ± s 2 M AXIMUM IN - PLANE SHEAR 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. S TRESS AT POINT B t ± 2.264 ² 10 4 psi s ± 2.641 ² 10 4 psi (The shear force V produces no shear stresses at point A ) P RINCIPAL STRESSES AND MIXIMUM SHEAR STRESS s x ± 0 s y ± st xy ±³ t A a s x ³ s y 2 b 2 + t xy 2 s 1 ± s x + s y 2 + s ± M B S t ± 16 T B p d 3 t max ± 21,090 psi ; A a s x ³ s y 2 b 2 + t xy 2 t max ± s c 2226 psi ; s t ± 39,950 psi ; s 1 ± 3.941 ² 10 4 psi s 2 1.3 ² 10 4 M AXIMUM TENSILE STRESS s t ± s 1 M AXIMUM COMPRESSIVE STRESS s c ± s 2 M AXIMUM IN - PLANE SHEAR 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 ± 26,210 psi ; t max ±
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