695_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 695_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 8.5 Combined Loadings 689 S TRESS ELEMENT AT THE TOP OF THE BAR AT B s x 0 s y s B t xy t B P RINCIPAL STRESSES : 16 qR 2 p d 3 (2 ; 2 4 + p 2 ) 32 qR 2 p d 3 ; A a 32 qR 2 p d 3 b 2 + a 16 qR 2 d 3 b 2 s B 2 ; A a s B 2 b 2 + t B 2 s 1, 2 s x + s y 2 ; A a s x s y 2 b 2 + t xy 2 M AXIMUM TENSILE STRESS M AXIMUM COMPRESSIVE STRESS M AXIMUM IN - PLANE SHEAR STRESS ( EQ . 7-26) t max 1 2 ( s 1 s 2 ) 16 qR 2 p d 3 2 4 + p 2 ; 8.78 qR 2 d 3 ; s c s 2 16 qR 2 p d 3 (2 2 4 + p 2 ) 29.15 qR 2 d 3 ; s t s 1 16 qR 2 p d 3 (2 + 2 4 + p 2 ) Problem 8.5-13 An arm ABC lying in a horizontal plane and supported at A (see figure) is made of two identical solid steel bars AB and BC welded together at a right angle. Each bar is 20 in. long. Knowing that the maximum tensile stress (principal stress)

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