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
A ta T
2A (E a ¢ T) max Ea
46°C (drop) (b) ¢ T AT WHICH WIRE GOES SLACK (a) ¢ Tmax (DROP IN TEMPERATURE)
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
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
16 T 37 lb 10.6 Tmax (10 6)/°F
(c) 6 15 (10 ) psi
(a) max (DUE TO DROP IN TEMPERATURE) E tmax
A tmax 10800 psi 2 ; 2ta
49.9°F ; T AT WHICH WIRE GOES SLACK
increase T until
T (E a ¢ T) T
A 0 T
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.
- Fall '11