What temperature would the wire reach its elastic limit

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The Golden Gate Bridge in San Francisco has a main span of length 1.28 km, one of the longest in the world. Imagine that a steel wire with this length and a cross-sectional area of 3.40 10-6 m2 is laid in a straight line on the bridge deck with its ends attached to the towers of the bridge. On a summer day the temperature of the wire is 45.0°C. (a) When winter arrives, the towers stay the same distance apart and the bridge deck keeps the same shape as its expansion joints open. When the temperature drops to ?10°C, what is the tension in the wire? (Take Young's modulus for steel to be 2.00 1011 N/m2, and the average linear expansion coefficient for steel to be 1.1 10-5°C?1.) (b) Permanent deformation occurs if the stress in the steel exceeds its elastic limit of 3.00 108 N/m2. At what temperature would the wire reach its elastic limit?

Reference no: EM13549540

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