A steel wire suspended vertically has a cross-sectional area of 0.1 in.2 and an

Chapter 1, Problem 1.57

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A steel wire suspended vertically has a cross-sectional area of \(0.1 \ \mathrm{in.}^2\) and an initial length of 10 ft. A downward force applied to the end of the wire causes the wire to stretch. The force varies linearly with the length of the wire from zero initially to 2500 lb when the length has increased by 0.01 ft. Determine (a) the normal stress, in \(\mathrm{lb/in.}^2\), at the end of the wire as a function of the length of the wire and (b) the work done in stretching the wire, in \(\mathrm{ft} \cdot \mathrm{lb}\).