Mechanics of Materials
9th Edition
ISBN: 9780133254426
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Chapter 4.6, Problem 4.75P
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 δ so that the rails just touch one another when the temperature is increased from T1 = −20°F to T2 = 90°F. Using this gap, what would be the axial force in the rails if the temperature rises to T3 = 110°F? The cross-sectional area of each rail is 5.10 in2.
Prob. 4−75
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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 T1 = -20F to T2 = 90F. Using this gap, what would be the axial force in the rails if the temperature rises to T3 = 110F? The cross-sectional area of each rail is 5.10 in2.
2.
The bar has a cross-sectional area A, length L,
modulus of elasticity E, and coefficient of thermal
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x along the bar T = TA + x(TB – TA)/L. Determine the
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is in the bar and the bar has a temperature of TA.
A
B
TA
TB
2.
The bar has a cross-sectional area A, length L,
modulus of elasticity E, and coefficient of thermal
expansion a. The temperature of the bar changes uniformly
along its length from TA at A to Tg at B so that at any point
x along the bar T = TA + x(TB - TA)/L. Determine the
force the bar exerts on the rigid walls. Initially no axial force
is in the bar and the bar has a temperature of TA.
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Chapter 4 Solutions
Mechanics of Materials
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Initially the A-36 bolt shank fits snugly...Ch. 4.5 - Prob. 4.66PCh. 4.5 - Prob. 4.67PCh. 4.6 - The C83400-red-brass rod AB and 2014-T6- aluminum...Ch. 4.6 - The assembly has the diameters and material...Ch. 4.6 - The rod is made of A992 steel and has a diameter...Ch. 4.6 - Prob. 4.71PCh. 4.6 - Prob. 4.72PCh. 4.6 - The pipe is made of A992 steel and is connected to...Ch. 4.6 - The bronze C86100 pipe has an inner radius of 0.5...Ch. 4.6 - The 40-ft-long A-36 steel rails on a train track...Ch. 4.6 - The device is used to measure a change in...Ch. 4.6 - The bar has a cross-sectional area A, length L,...Ch. 4.6 - When the temperature is at 30C, the A-36 steel...Ch. 4.6 - When the temperature is at 30C, the A-36 steel...Ch. 4.6 - When the temperature is at 30C, the A-36 steel...Ch. 4.6 - The 50-mm-diameter cylinder is made from Am...Ch. 4.6 - The 50-mm-diameter cylinder is made from Am...Ch. 4.6 - The wires AB and AC are made of steel, and wire AD...Ch. 4.6 - The cylinder CD of the assembly is heated from T1...Ch. 4.6 - The cylinder CD of the assembly is heated from T1=...Ch. 4.6 - The metal strap has a thickness t and width w and...Ch. 4.9 - Determine the maximum normal stress developed in...Ch. 4.9 - If the allowable normal stress for the bar is...Ch. 4.9 - The steel bar has the dimensions shown. 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