The Alaska pipeline runs approximately 800 miles. The oil\'s temperature varies

Question

The Alaska pipeline runs approximately 800 miles. The oil's temperature varies between 145degree F in the summer and and -60degree F in the winter. Coefficient of steel is 12*10^-6. a. what value of steel is implied by the observation that each 40ft length of pipe expands 0.031 inches with each 10degree F rise in temperature? b. By what percentage does the value calculated in part a differ from the coefficient of steel. c. To accommodate the seasonal thermal expansion and contraction, the pipeline is designed in a zigzag configuration with 720ft long straight segments. By how many inches does each segment expand from winter to summer. d. How much does the entire 800 mile long pipeline expand from winter to summer?

Explanation / Answer

a) coefficient of heat expansion of steel is implied by it. = 0.0131/12/40 /10 = 2.729 * 10 ^-6 feet / (feet * degree F ) b) 0.00000645 this is given coefficient of steel. it differs = (0.00000645- 0.00000273) / 0.00000645 * 100 = 57.67 % c) expansion = 2.729 * 10 ^-6 * (145+60) * 720 = 0.403 feet (given observation) expansion = 0.00000645 * (145+60) * 720 = 0.952 feet ( using standard value of steel) d) totals length = 800 * 5280 = 4224000 feet expansion = 2.729 * 10 ^-6 * (145+60) * 4224000 = 2363.1 feet (given observation) expansion = 0.00000645 * (145+60) * 4224000 = 5585.2 feet ( using standard value of steel)

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