238_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

238_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: Sec_2.8-2.12.qxd 232 9/25/08 11:44 AM Page 232 CHAPTER 2 Axially Loaded Members Solution 2.11-2 Axially loaded bar (c) BOTH P1 AND P2 ARE ACTING P1 + P2 A AB:s 90 kN 187.5 MPa 480 mm2 0.008477 L P1 1.8 m 480 mm2 A 30 kN P2 dAB a BC:s 60 kN P2 A Ramberg–Osgood Equation: 1 s 10 s + a b (s 45,000 618 170 MPa) dBC (a) P1 ACTS ALONE P1 A 30 kN 480 mm 2 dC 62.5 MPa a 2L b 3 60 kN 480 mm2 125 MPa ; 1.67 mm L ab 3 1.71 mm dAB + dBC 11.88 mm ; (Note that the displacement when both loads act simultaneously is not equal to the sum of the displacements when the loads act separately.) 0.001389 dc 10.17 mm 0.002853 Find displacement at end of bar. AB: s 2L b 3 (b) P2 ACTS ALONE ABC:s dc P2 60 kN A 480 mm2 0.002853 L 5.13 mm 125 MPa ; Problem 2.11-3 A circular bar of length L 32 in. and diameter d 0.75 in. is subjected to tension by forces P (see figure). The wire is made of a copper alloy having the following hyperbolic stress-strain relationship: s 18,000P 0 … P … 0.03 (s 1 + 300P ksi) (a) Draw a stress-strain diagram for the material. (b) If the elongation of the wire is limited to 0.25 in. and the maximum stress is limited to 40 ksi, what is the allowable load P? d P P L ...
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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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