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02-01ChapGere.0014

# 02-01ChapGere.0014 - 76 A-PDF Axially DEMO Purchase CHAPTER...

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Solution 2.3-2 Copper bar with a tensile load 76 CHAPTER 2 Axially Loaded Members P Steel post Copper bar L s L c L c 2.0 m A c 4800 mm 2 E c 120 GPa L s 0.5 m A s 4500 mm 2 E s 200 GPa (a) D OWNWARD DISPLACEMENT ( P 180 kN) (b) M AXIMUM LOAD P max ( max 1.0 mm) P max (180 kN) ¢ 1.0 mm 0.675 mm 267 kN P max P max P max P ¢ max 0.675 mm c s 0.625 mm 0.050 mm 0.050 mm s ( P 2) L s E s A s (90 kN)(0.5 m) (200 GPa)(4500 mm 2 ) 0.625 mm c PL c E c A c (180 kN)(2.0 m) (120 GPa)(4800 mm 2 ) Problem 2.3-3 A steel bar AD (see figure) has a cross-sectional area of 0.40 in. 2 and is loaded by forces P 1 2700 lb, P 2 1800 lb, and P 3 1300 lb. The lengths of the segments of the bar are a 60 in., b 24 in., and c 36 in. (a) Assuming that the modulus of elasticity E 30 10 6 psi, calculate the change in length of the bar. Does the bar elongate or shorten? (b) By what amount
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