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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Unformatted text preview: Sec_2.8-2.12.qxd 238 9/25/08 11:44 AM Page 238 CHAPTER 2 Axially Loaded Members Solution 2.12-2 Bar between rigid supports FAC P PP YA1 FCB FAC YA2 FCB YA1 YA2 Y(A1 A2) ; SUBSTITUTE NUMERICAL VALUES: d1 20 mm d2 25 mm 250 MPa Y DETERMINE THE PLASTIC LOAD PP: At the plastic load, all parts of the bar are stressed to the yield stress. PP p (250 MPa) a b (d2 + d2) 1 2 4 p (250 MPa) a b [(20 mm)2 + (25 mm)2] 4 Point C: 201 kN ; 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. R (a) Determine the plastic load PP if the material of the wires is elastoplastic with yield stress Y. (b) How is PP changed if bar AB is flexible instead of rigid? (c) How is PP changed if the radius R is increased? A B P Solution 2.12-3 Rigid bar supported by five wires (b) BAR AB IS FLEXIBLE At the plastic load, each wire is stressed to the yield stress, so the plastic load is not changed. ; (a) PLASTIC LOAD PP At the plastic load, each wire is stressed to the yield stress. PP 5 YA ; F YA (c) RADIUS R IS INCREASED Again, the forces in the wires are not changed, so the plastic load is not changed. ; ...
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This note was uploaded on 12/22/2011 for the course MEEG 310 taught by Professor Staff during the Fall '11 term at University of Delaware.

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