239_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 239_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 233 SECTION 2.11 Nonlinear Behavior (Changes in Lengths of Bars) 233 Solution 2.11-3 Copper bar in tension (b) ALLOWABLE LOAD P Max. elongation Max. stress 0.25 in. max 40 ksi max Based upon elongation: L 32 in. d 0.75 in. max 2 A pd 4 0.4418 in.2 smax (a) STRESS-STRAIN DIAGRAM s 18,000 1 + 300 dmax L 0.25 in. 32 in. 18,000 max 1 + 300 max 0.007813 42.06 ksi BASED UPON STRESS: 0… … 0.03 (s ksi) max 40 ksi Stress governs. P max A (40 ksi)(0.4418 in.2) 17.7 k Problem 2.11-4 A prismatic bar in tension has length L 2.0 m and cross-sectional area A 249 mm2. The material of the bar has the stressstrain curve shown in the figure. Determine the elongation of the bar for each of the following axial loads: P 10 kN, 20 kN, 30 kN, 40 kN, and 45 kN. From these results, plot a diagram of load P versus elongation (load-displacement diagram). ; 200 s (MPa) 100 0 0 0.005 e 0.010 ...
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