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[SOLVED] Thermal Stress on Two Rods
A steel rod 0.350 m long and an aluminum rod 0.250 m long, both with the same diameter, are placed end to end between rigid supports with no initial stress in the rods. The temperature of the rods is now raised by 60.0 degrees C. What is the stress in each rod?
Thermal Stress equation:
F/A = Y(([tex]\Delta[/tex]L / L) - ([tex]\alpha[/tex] [tex]\Delta[/tex] T))
Since the two rods are in equilibrium when they are finished expanding, the net force acting where the they touch must be zero; the two contact forces are equal. Using the thermal stress equation, I found the force for both rods and set them equal to each other. Then I solved for the change in length and substituted it back into the equation to find the stress. For some reason I'm not getting a good answer.
Homework Statement
A steel rod 0.350 m long and an aluminum rod 0.250 m long, both with the same diameter, are placed end to end between rigid supports with no initial stress in the rods. The temperature of the rods is now raised by 60.0 degrees C. What is the stress in each rod?
Homework Equations
Thermal Stress equation:
F/A = Y(([tex]\Delta[/tex]L / L) - ([tex]\alpha[/tex] [tex]\Delta[/tex] T))
The Attempt at a Solution
Since the two rods are in equilibrium when they are finished expanding, the net force acting where the they touch must be zero; the two contact forces are equal. Using the thermal stress equation, I found the force for both rods and set them equal to each other. Then I solved for the change in length and substituted it back into the equation to find the stress. For some reason I'm not getting a good answer.
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