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247_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 247_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 2.12 Elastoplastic Analysis 241 Problem 2.12-7 A circular steel rod AB of diameter d 0.60 in. is stretched tightly between two supports so that initially the tensile stress in the rod is 10 ksi (see figure). An axial force P is then applied to the rod at an intermediate location C . (a) Determine the plastic load P P if the material is elastoplastic with yield stress Y 36 ksi. (b) How is P P changed if the initial tensile stress is doubled to 20 ksi? P b b b b 2 b B A d B P A C Solution 2.12-6 Truss consisting of five bars d 10 mm Y 250 MPa A p d 2 4 78.54 mm 2 At the plastic load, all five bars are stressed to the yield stress F Y A Sum forces in the vertical direc- tion and solve for the load: Substitute numerical values:

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247_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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