For the 5-ton elevator described in Problem 7.12, explore the effect of cable length on the maximum elongation and maximum tensile stress developed in the cable by computing and plotting the cable...

For the 5-ton elevator described in Problem 7.12, explore the effect of cable length on the maximum elongation and maximum tensile stress developed in the cable by computing and plotting the cable elongation and tensile stress for a cable length above the elevator of 1 to 500 feet.

Problem 7.12

A 5-ton elevator is supported by a standard steel cable of 2.5-in.²
cross section and an effective modulus of elasticity of 12 x 10⁶
psi. As the elevator is descending at a constant 400 ft/min, an accident causes the top of the cable, 70 ft above the elevator, to stop suddenly. Estimate the maximum elongation and maximum tensile stress developed in the cable (see Figure P7.12).