172_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

172_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: Sec_2.5.qxd 9/25/08 166 3:00 PM Page 166 CHAPTER 2 Axially Loaded Members DISPLACEMENT DIAGRAM Combine Eqs. (3) and (5): SB 80 in. LB SC 80 in. LC TCL EA 0.02 in. 0.05 in. SC + d Eliminate TB 2TC (Eq. 7) between Eqs. (6) and (7): EASB L 2EASC L (Eq. 8) Solve simultaneously Eqs. (1) and (8): TB EASB 6P + 5 5L TC 3P 5 Elongation of wires: B SB C 2 (Eq. 2) SC (Eq. 3) 2EASC 5L 2EASB 4EASC + 5L 5L ; ; SUBSTITUTE NUMERICAL VALUES: EA 5L 2250 lb/in. FORCE-DISPLACEMENT RELATIONS dB TB L EA dC TC L EA TB (Eqs. 4, 5) SOLUTION OF EQUATIONS SB + 2d 45 lb 225 lb TC 420 lb 90 lb 450 lb ; ; 660 lb 780 lb (Both forces are positive, which means tension, as required for wires.) Combine Eqs. (2) and (4): TBL EA 840 lb (Eq. 6) P Problem 2.5-18 A rigid steel plate is supported by three posts of high-strength concrete each having an effective cross-sectional area A 40,000 mm2 and length L 2 m (see figure). Before the load P is applied, the middle post is shorter than the others by an amount s 1.0 mm. Determine the maximum allowable load Pallow if the allowable compressive stress in the concrete is allow 20 MPa. (Use E 30 GPa for concrete.) S s C C C L ...
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This note was uploaded on 12/22/2011 for the course MEEG 310 taught by Professor Staff during the Fall '11 term at University of Delaware.

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