The two main cables on a bridge are each 9,800 feet long. Each cable is composed of 45,000 individual high strength steel wires, tightly bound together. The maximum allowable load on the cable is such that the tensile stress in each individual wire can be no greater than 20×103 psi. a. Given that the diameter of each steel wire is 0.25 in, calculate the maximum allowable tensile force each cable can bear. b. When a 12 in. long steel wire was tested in the laboratory under a tensile stress of 20×103 psi, the tensile strain in the wire was measured to be 0.00067. Calculate the elongation of the wire tested.
The two main cables on a bridge are each 9,800 feet long. Each cable is composed of 45,000 individual high strength steel wires, tightly bound together. The maximum allowable load on the cable is such that the tensile stress in each individual wire can be no greater than 20×103 psi. a. Given that the diameter of each steel wire is 0.25 in, calculate the maximum allowable tensile force each cable can bear. b. When a 12 in. long steel wire was tested in the laboratory under a tensile stress of 20×103 psi, the tensile strain in the wire was measured to be 0.00067. Calculate the elongation of the wire tested.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The two main cables on a bridge are each 9,800 feet long. Each
cable is composed of 45,000 individual high strength steel wires, tightly bound together. The
maximum allowable load on the cable is such that the tensile stress in each individual wire can be no
greater than 20×103 psi.
a. Given that the diameter of each steel wire is 0.25 in, calculate the maximum allowable tensile
force each cable can bear.
b. When a 12 in. long steel wire was tested in the laboratory under a tensile stress of 20×103 psi, the
tensile strain in the wire was measured to be 0.00067. Calculate the elongation of the wire tested.
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