698_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

698_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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692 CHAPTER 8 Applications of Plane Stress Solution 8.5-15 P 240 lb b 5 ft length of arm h 27 ft height of post r 2 4.5 in. r 1 4.243 in. t r 2 r 1 t 0.257 in. A p ( r 2 2 r 1 2 ) A 7.059 in. 2 I 67.507 in. 4 I p 2 I I p 135.014 in. 4 Q 9.825 in. 3 R EACTIONS AT THE SUPPORT M P cos(30deg) h M 6.734 10 4 lb in T P cos(30deg) b T 1.247 10 4 lb in V x P cos(30deg) V x 207.846 lb V y P sin(30deg) V y 120 lb S TRESSES AT POINT A # # Q 2 3 1 r 2 3 r 1 3 2 I p 4 1 r 2 4 r 1 4 2 (a) M AXIMUM TENSILE STRESS AND MAXIMUM SHEAR STRESS s x 0 s y 4.489 10 3 psi t xy t s 1 4.534 10 3 psi s 2 44.593 psi M AXIMUM TENSILE STRESS s max s 1 M AXIMUM SHEAR STRESS (b) A LLOWABLE LOAD P s allow 16000 psi t allow 6000 psi The stresses at point A are proportional to the load P . Based on tensile stress: P allow 847.01lb
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