Engineering Mechanics problem with solution
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4–74. The bronze C86100 pipe has an inner radius of 0.5 in. and a wall thickness of 0.2 in. If the gas flowing through it changes the temperature of the pipe uniformly from
T A = 200F at A to T B = 60!F at B , determine the axial force it exerts on the walls. The pipe was fitted between the walls when T = 60F.
4–75. The 40-ft-long A-36 steel rails on a train track are laid with a small gap between them to allow for thermal expansion. Determine the required gap d so that the rails just touch one another when the temperature is increased from T 1 = -20!F to T 2 = 90!F. Using this gap, what would be the axial force in the rails if the temperature were to rise to
T 3 = 110F? The cross-sectional area of each rail is 5.10 in2
4–76. The device is used to measure a change in temperature. Bars AB and CD are made of A-36 steel and 2014-T6 aluminum alloy, respectively. When the temperature
is at 75°F, ACE is in the horizontal position. Determine the vertical displacement of the pointer at E when the temperature rises to 150°F.
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