02-07ChapGere.0009

02-07ChapGere.0009 - 168 A-PDF Axially Loaded : Purchase...

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168 CHAPTER 2 Axially Loaded Members Problem 2.11-4 A prismatic bar in tension has length L 5 2.0 m and cross-sectional area A 5 249 mm 2 . The material of the bar has the stress-strain curve shown in the figure. Determine the elongation d of the bar for each of the following axial loads: P 5 10 kN, 20 kN, 30 kN, 40 kN, and 45 kN. From these results, plot a diagram of load P versus elongation d (load-displacement diagram). Solution 2.11-4 Bar in tension (MPa) 0 0 200 100 0.005 0.010 s e L 5 2.0m A 5 249mm 2 S TRESS - STRAIN DIAGRAM (See the problem statement for the diagram) L OAD - DISPLACEMENT DIAGRAM N OTE : The load-displacement curve has the same shape as the stress-strain curve. P P L P s 5 P/A e d 5 e L (kN) (MPa) (from diagram) (mm) 10 40 0.0009 1.8 20 80 0.0018 3.6 30 120 0.0031 6.2 40 161 0.0060 12.0
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