171_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

171_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 3:00 PM Page 165 SECTION 2.5 Thermal Effects (b) DISPLACEMENTS AT B & C use superposition of displacements in the two released structures a ¢ T1 L12 dB RA a L1 b E A1 a ¢ T 1 L12 [ s + a ¢ T1 L1 + L22] dB L1 L2 1 + + E A1 E A2 k3 ; a¢ T1 L1 + L22 dC RAa dC L1 L2 + b E A1 E A2 ; a ¢ T1 L1 + L22 [ a 165 s + a ¢ T1 L1 + L22] L1 L2 1 + + E A1 E A2 k3 L1 b E A1 a L1 L2 + b E A1 E A2 Problem 2.5–17 Wires B and C are attached to a support at the left-hand end and to a pin-supported rigid bar at the right-hand end (see figure). Each wire has cross-sectional area A 0.03 in.2 and modulus of elasticity E 30 106 psi. When the bar is in a vertical position, the length of each wire is L 80 in. However, before being attached to the bar, the length of wire B was 79.98 in. and of wire C was 79.95 in. Find the tensile forces TB and TC in the wires under the action of a force P 700 lb acting at the upper end of the bar. 700 lb B b C b b 80 in. Solution 2.5–17 Wires B and C attached to a bar EQUILIBRIUM EQUATION Mpin TC(b) 2TB P 700 lb A 0.03 in.2 E 30 106 psi LB 79.98 in. LC 79.95 in. 0 TB(2b) TC 3P ; P(3b) (Eq. 1) ...
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