02-03ChapGere.0001

02-03ChapGere.0001 - 106 A-PDF Axially Loaded : Purchase...

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106 CHAPTER 2 Axially Loaded Members Problem 2.5-3 A rigid bar of weight W 5 750 lb hangs from three equally spaced wires, two of steel and one of aluminum (see figure). The diameter of the wires is 1 / 8 in. Before they were loaded, all three wires had the same length. What temperature increase D T in all three wires will result in the entire load being carried by the steel wires? (Assume E s 5 30 3 10 6 psi, a s 5 6.5 3 10 2 6 ±°F, and a a 5 12 3 10 2 6 ±°F.) Solution 2.5-3 Bar supported by three wires W = 750 lb SAS S 5 steel A 5 aluminum W 5 750 lb E s 5 30 3 10 6 psi E s A s 5 368,155 lb a s 5 6.5 3 10 2 6 ± 8 F a a 5 12 3 10 2 6 ± 8 F L 5 Initial length of wires d 1 5 increase in length of a steel wire due to temperature increase D T 5 a s ( D T ) L A s 5 p d 2 4 5 0.012272 in. 2 d 5 1 8 in. d 2 5 increase in length of a steel wire due to load W ±2 d 3 5 increase in length of aluminum wire due to temperature increase
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