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244_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 244_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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238 CHAPTER 2 Axially Loaded Members Solution 2.12-2 Bar between rigid supports d 1 20 mm d 2 25 mm Y 250 MPa D ETERMINE THE PLASTIC LOAD P P : At the plastic load, all parts of the bar are stressed to the yield stress. Point C : F AC Y A 1 F CB Y A 2 P F AC F CB P P Y A 1 Y A 2 Y ( A 1 A 2 ) S UBSTITUTE NUMERICAL VALUES : ; 201 kN (250 MPa) a p 4 b [(20 mm) 2 + (25 mm) 2 ] P P (250 MPa) a p 4 b ( d 1 2 + d 2 2 ) ; Problem 2.12-3 A horizontal rigid bar AB supporting a load P is hung from five symmetrically placed wires, each of cross-sectional area A (see figure). The wires are fastened to a curved surface of radius R . (a) Determine the plastic load P P if the material of the wires is elastoplastic with yield stress Y . (b) How is P

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