186_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

186_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: Sec_2.6.qxd 9/25/08 180 11:40 AM Page 180 CHAPTER 2 Axially Loaded Members Solution 2.6-4 Brass wire in tension d T T a NUMERICAL DATA ¢ Tmax d 60 MPa T A T A ta T 2A (E a ¢ T) max Ea 46°C (drop) (b) ¢ T AT WHICH WIRE GOES SLACK (a) ¢ Tmax (DROP IN TEMPERATURE) s p2 d 4 2 ta ¢ Tmax 2.42 mm T 98 N 19.5 (10 6)/°C E 110 GPa A increase ¢ T until s s 2 ¢T E a ¢T 2 ¢T Problem 2.6-5 A brass wire of diameter d 1/16 in. is stretched between rigid supports with an initial tension T of 37 lb (see figure). Assume that the coefficient of thermal expansion is 10.6 10 6/°F and the modulus of elasticity is 15 106 psi.) 0 T E aA 9.93°C (increase) d T T (a) If the temperature is lowered by 60°F, what is the maximum shear stress max in the wire? (b) If the allowable shear stress is 10,000 psi, what is the maximum permissible temperature drop? (c) At what temperature change T does the wire go slack? Solution 2.6-5 d T (b) ¢ Tmax FOR ALLOW. SHEAR STRESS T ¢ Tmax NUMERICAL DATA d 1 in 16 T 37 lb 10.6 Tmax (10 6)/°F (c) 6 15 (10 ) psi T 60°F p2 A d 4 (a) max (DUE TO DROP IN TEMPERATURE) E tmax max sx 2 T A tmax 10800 psi 2 ; 2ta Ea 49.9°F ; T AT WHICH WIRE GOES SLACK increase T until ¢T T (E a ¢ T) T A 0 T E aA 75.9°F (increase) ; a 10000 psi ...
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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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