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Solved: The wires AB and AC are made of steel, and wire AD
Chapter 4, Problem 4-83(choose chapter or problem)
The wires AB and AC are made of steel, and wire AD is made of copper. Before the 150-lb force is applied, AB and AC are each 60 in. long and AD is 40 in. long. If the temperature is increased by \(80^{\circ} \mathrm{F},\) determine the force in each wire needed to support the load. Each wire has a cross-sectional area of 0.0123 in2. TAKE \(E_{\mathrm{st}}=29\left(10^{3}\right) \mathrm{ksi}\),\(E_{\mathrm{cu}}=17\left(10^{3}\right) \mathrm{ksi}, \alpha_{\mathrm{st}}=8\left(10^{-6}\right) /{ }^{\circ} \mathrm{F}, \alpha_{\mathrm{cu}}=9.60\left(10^{-6}\right) /{ }^{\circ} \mathrm{F}\)
Questions & Answers
QUESTION:
The wires AB and AC are made of steel, and wire AD is made of copper. Before the 150-lb force is applied, AB and AC are each 60 in. long and AD is 40 in. long. If the temperature is increased by \(80^{\circ} \mathrm{F},\) determine the force in each wire needed to support the load. Each wire has a cross-sectional area of 0.0123 in2. TAKE \(E_{\mathrm{st}}=29\left(10^{3}\right) \mathrm{ksi}\),\(E_{\mathrm{cu}}=17\left(10^{3}\right) \mathrm{ksi}, \alpha_{\mathrm{st}}=8\left(10^{-6}\right) /{ }^{\circ} \mathrm{F}, \alpha_{\mathrm{cu}}=9.60\left(10^{-6}\right) /{ }^{\circ} \mathrm{F}\)
ANSWER:
Step 1 of 6
First we will draw the free body diagram as below.
