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Linear-Elastic Work

A circular steel rod ten feet in length, of cross-section area, 2in², is loaded to its yield point stress. The modulus of elasticity of the steel is 30x106 lbf/in2 and its yield point stress is 36,000 lbf/in2. The event is that the rod is loaded smoothly to its yield point stress.
Calculate the force, elongation and work.

The force required to stretch the rod to its yield point stress is:

From Hooke's Law we obtain the strain at yield point stress and the elongation.

The work of the system (the rod) is: