106CHAPTER 2Axially Loaded MembersProblem 2.5-3A rigid bar of weight W 5 750 lb hangs from threeequally spaced wires, two of steel and one of aluminum (see figure). The diameter of the wires is 1/8in. Before they were loaded, all three wires had the same length.What temperature increase DTin all three wires will result in theentire load being carried by the steel wires? (Assume Es 5 30 3 106psi,as 5 6.5 3 1026±°F, and aa 5 12 3 1026±°F.)Solution 2.5-3Bar supported by three wiresW= 750 lbSASS5steelA5aluminumW5750 lbEs5303106psiEsAs5368,155 lbas56.531026±8Faa51231026±8FL5Initial length of wiresd15increase in length of a steel wire due totemperature increase DT5as(DT)LAs5pd2450.012272in.2d518in.d25increase in length of a steel wire due to loadW±2d35increase in length of aluminum wire due totemperature increase
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