An elevator weighs w and it is supported by a D diameter cable, L long. When the

Question

An elevator weighs w and it is supported by a D diameter cable, L long.  When the elevator carries a W load, the cable elongates ?L more.  What is the modulus of elasticity, E, of the cable?  Given: w = 15 kN, D = 20 mm, L = 175 m, W = 6.6 kN, and ?L = 25 mm

An elevator weighs w and it is supported by a D diameter cable, L long. When the elevator carries a W load, the cable elongates ?L more. What is the modulus of elasticity, E, of the cable? Given: w = 15 kN, D = 20 mm, L = 175 m, W = 6.6 kN, and ?L = 25 mm

Explanation / Answer

E=(F/A)/(dL/L)

=(21.6*10^3/Pi*r^2)/(25/175000)

=4.8*10^11

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