02-01ChapGere.0014

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

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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 5 2.0 m A c 5 4800 mm 2 E c 5 120 GPa L s 5 0.5 m A s 5 4500 mm 2 E s 5 200 GPa (a) D OWNWARD DISPLACEMENT d ( P 5 180 kN) (b) M AXIMUM LOAD P max ( d max 5 1.0 mm) P max 5 (180 kN) ¢ 1.0 mm 0.675 mm 5 267 kN P max P 5 d max d Ê P max 5 P ¢ d max d 5 0.675 mm d 5 d c 1 d s 5 0.625 mm 1 0.050 mm 5 0.050 mm d s 5 ( P / 2) L s E s A s 5 (90 kN)(0.5 m) (200 GPa)(4500 mm 2 ) 5 0.625 mm d c 5 PL c E c A c 5 (180 kN)(2.0 (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 5 2700 lb, P 2 5 1800 lb, and P 3 5 1300 lb. The lengths of the segments of the bar are a 5 60 in., b 5 24 in., and c 5 36 in. (a) Assuming that the modulus of elasticity E 5 30 3 10 6 psi, calculate the change in length d of the bar. Does the bar elongate or shorten? (b) By what amount P should the load
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This note was uploaded on 09/20/2009 for the course COE 3001 taught by Professor Armanios during the Spring '08 term at Georgia Tech.

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