(Solved): The elastic portion of the stress-strain diagram for a steel alloy is shown in the figure. The spe ...

The elastic portion of the stress-strain diagram for a steel alloy is shown in the figure. The specimen from which it was obtained had an original diameter of \( 13 \mathrm{~mm} \) and a gauge length of \( 50 \mathrm{~mm} \). If a load of \( P=40 \mathrm{kN} \) is applied to the specimen, determine its diameter and gauge length. Take \( \nu=0.4 \).