Question

A bridge with a steel framework is 500.000 m long on a winter day when the temperature of the steel is 5.0 'C. The coefficient of linear thermal expansion of steel is 11.0x107C. The bridge is built in with the two ends anchored in rock and it has a hinge at its center in case it expands past its original 500.000 m length. y = ? 250.000 m (a) How long is one half of the bridge at a temperature of 55.0 °C? (b) Find the distance y that the hinge is above its original position when the bridge is at a temperature of 55.0 °C?

Answer 1

Answer - Criven :- Total length of Bridge - Soom temp. #1: 5°C. Thermal coeff. Q: 114107c a) Change in length of Half of bodge if & Temperatuur increases to 55°C. using formula AL = 2LO AT & 250 lo- original full length - 500 m : AL = 11X106 500 x ( 55-5) [AL = 0.1375 m), Half length b) Distance y - verticle Distance of Hinge when temp is 56°c. - Change in Half length of Bridge = 0.1375m whole Change in full length = 0.295 m. By calculation de By PP00. - 250 тн Change in length due to temp. Change. . AL 2 250.1375 m, = 250,140 y = 12 - 290, 14) 2 y? = 250.142-2502 = 68.78 mx 70m Y = 170 [9=8366m 7