245_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

245_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: Sec_2.8-2.12.qxd 9/25/08 11:44 AM Page 239 SECTION 2.12 Elastoplastic Analysis 239 Problem 2.12-4 A load P acts on a horizontal beam that is supported by four rods arranged in the symmetrical pattern shown in the figure. Each rod has cross-sectional area A and the material is elastoplastic with yield stress Y. Determine the plastic load PP. a a P Solution 2.12-4 Beam supported by four rods F YA Sum forces in the vertical direction and solve for the load: At the plastic load, all four rods are stressed to the yield stress. PP 2F 2F sin PP 2 (1 sin ) 21 in. Problem 2.12-5 The symmetric truss ABCDE shown in the figure is constructed of four bars and supports a load P at joint E. Each of the two outer bars has a cross-sectional area of 0.307 in.2, and each of the two inner bars has an area of 0.601 in.2 The material is elastoplastic with yield stress Y 36 ksi. Determine the plastic load PP. YA A ; 54 in. 21 in. C B D 36 in. E P ...
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