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  • A metal rod of young modulus Y and coefficient of thermal expansion  is held at its two ends such that

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^{0}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 per we learned

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

And   Thermal stress = Y. (Strain)=Y\alpha \Delta T

here change in temperature is t degree

\therefore  Thermal stress =Y\alpha t

Posted by

Divya Prakash Singh

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