Question

Problem 4.79 When the temperature is at 30° C, the A-36 steel pipe fits snugly between the two fuel tanks. When fuel flows through the pipe, the temperatures at ends A and B rise to 130° C and 80° C, respectively. The modulus of elasticity for the material is 200 GPa and the coefficient of thermal expansion is 12 x (106/C. 150 mm 0 10 mm Section a-a 6 m 4l Part A If the temperature drop along the pipe is linear, determine the average normal stress developed in the pipe. Assume the walls of each tank act as a spring, each having a stiffness of k-900MN/m. Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension. ANSWER: ơavg-

Answer 1

88 7) Temporatione variation along the pipe ance the temperature varion Sinewly along the Dill, the temperaturre godient com te expreved ou TCM?? Te + TA - TIS (6on) = 80 + 130-60 (6-u) 10%) : (1 + 1) change in temperature ST = T(4) IT -(130 96 x) -36 free expansion of pipe (100-150x) °C fa Assido = 12 X166 ¿(loo - Sou) du E 12X166 [100(60)-90, 1620) = 0.0054 m 61 Summ 8-81-SF 900 . Fx6coo + 2 hela elections Sou-Ei 152 20 (po x105F) = 5.4r (3.080418 xias ft 1•11 ll x16*r] Er 1018364 ni ang normal streu Gaug TIG-150%) 101836 F = 104.56 N/mm² (compresion) Gauge -104.56 Ni mm?