241_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

241_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 235 235 SECTION 2.11 Nonlinear Behavior (Changes in Lengths of Bars) Solution 2.11-5 Aluminum bar in tension LOAD-DISPLACEMENT DIAGRAM P (k) L 150 in. A 8 16 24 32 40 2.0 in.2 STRESS-STRAIN DIAGRAM E1 10 106 psi E2 2.4 106 psi 1 12,000 psi 1 s1 E1 12,000 psi 10 * 106 psi 0.0012 1: For 0 s s E2 10 * 106psi 1: For s 1 s1 + E2 s 2.4 * 106 (s 0.0012 + 0.0038 (s Eq. (1) psi) s 12,000 2.4 * 106 psi) Eq. (2) P/A (psi) 4,000 8,000 12,000 16,000 20,000 (from Eq. 1 or Eq. 2) (in.) L 0.00040 0.00080 0.00120 0.00287 0.00453 0.060 0.120 0.180 0.430 0.680 ...
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