Question

The New River Gorge bridge in West Virginia is a 3,030 ft long steel-arch bridge. A natural temperature range at the site is -5°F in winter and 100°F in summer. The bridge surface can heat up to 120°F a. Convert the two extreme temperatures to Celsius. G= 3 (F-32) (= $(-5-32) --28.72 b. Convert the bridge length to meters. c. Find the bridge total length change from winter to summer (in meters).

Answer 1

CE (A) ( (F-32) -5F ca (+5–32) = (-37) = -20-56 -5°F = -20.56°C (1 1000F limf = 37.78°C] (6) bridge length = 3030 ft = (30 30 x 0.3098) m = 92 3.544 m, [ 14 = 0.3098 m] "lca

6 (0 coefficient of thermal expansion , Q = 7.2x16 ° °C # 1L = Lood AT AT- -Ti une = 37.78°C -(-20.56°C) = 58.34°c 10 = 30 30 off = 923.544 m. :: At = 2030 ft) = 923.594 m. AL= 923.544 X 7.2X166 x 58.34 m. = 0.388m, 1 change in length Ě 0.39 m