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  • A metal rod of young modulus Y and coefficient of thermal expansion  is held at its two ends such that its length remains invariant. If its tem

A metal rod of young modulus Y and coefficient of thermal expansion \alpha is held at its two ends such that its length remains invariant. If its temperature is raised by t^{\circ}C  the linear stress developed in it is 

Option: 1

\frac{Y}{\alpha t}

 

 

 


Option: 2

Y\alpha t


Option: 3

\frac{1}{Y\alpha t}


Option: 4

\frac{\alpha t}{Y}


Answers (1)

best_answer

As we learned

 

Thermal Stress -

When a rod whose ends are rigidly fixed such as to prevent expansion or contraction.

- wherein

 

 

strain = \frac{\Delta l}{l}=\alpha \Delta T

Thermal stress = Y(strain)= Y\alpha \Delta T

 

Posted by

Irshad Anwar

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