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# An elevator weighs w and it is supported by a D diameter cable- L long.docx

An elevator weighs w and it is supported by a D diameter cable, L long.Â Â When the elevator carries a W load, the cable elongates ?L more.Â Â What is the modulus of elasticity, E , of the cable?Â Â 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
Solution
E=(F/A)/(dL/L)
=(21.6*10^3/Pi*r^2)/(25/175000)
=4.8*10^11
.

An elevator weighs w and it is supported by a D diameter cable, L long.Â Â When the elevator carries a W load, the cable elongates ?L more.Â Â What is the modulus of elasticity, E , of the cable?Â Â 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
Solution
E=(F/A)/(dL/L)
=(21.6*10^3/Pi*r^2)/(25/175000)
=4.8*10^11
.