Question

The Golden Gate Bridge has a main span length (between the two towers) of 1.28 km. Imagine that a steel wire with cross-sectional area 4.00 X 10-6 m2 extends linearly across the bridge deck between the towers. On the summer day that the wire is laid out the temperature reaches 35 oC. (a) In the winter, when the temperature is -10.0 oC, what is the tensile force, F, exerted on the wire? Assume the Young’s modulus, Y, for steel is 20.0 X 1010 N/m2. Note: The equation relating Young’s modulus to the force is

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(b) Permanent deformation occurs if the stress, S, on the steel exceeds its elastic limit of Smax = 3.00 X 108 N/m2. (Note, the stress is defined as S≡Fdef/A). At what temperature would the wire reach its elastic limit and break

Answer 1