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A metal bar of length L and area of cross-section. A is clamped between two rigid support. for the material of the rod, the youngs modulus is y and coefficient of linear expansion is \alpha. The temperature is increased by \Delta T the force exerted by the rod on the support is 

Option: 1

YAL\Delta T

 

 

 


Option: 2

YA\alpha \Delta T


Option: 3

\frac{YL\alpha \Delta T}{A}


Option: 4

Y\alpha AL\Delta T


Answers (1)

best_answer

As we learned

 

Force on the Supports -

F=YA\;\alpha\; \Delta\; \theta

-

Thermal stress is Y\alpha \Delta t
Force is stress x area 
F=Y\alpha A\Delta T

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