A torque wrench is used to tighten the nut on a bolt. If the dial indicates that a torque of \(60 \mathrm{lb} \cdot \mathrm{ft}\) is applied when the bolt is fully tightened, determine the force \(P\) acting at the handle and the distance \(s\) the needle moves along the scale. Assume only the portion \(A B\) of the wrench distorts. The cross section is square having dimensions of \(0.5 \mathrm{in}\). by 0.5 in. Take \(E=29\left(10^{3}\right) \mathrm{ksi}\).

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12 in. 0.5 in. 18 in. 0.5 in. B P