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If a steel rod is clamped between two walls such that it just fits into it and then heated , it would exert some force on the rod. But since no change in length takes place , can I say that the strain so produced is zero. If so then what about the hooks law?

If a steel rod is clamped between two walls such that it just fits into it and then heated , it would exert some force on the rod. But since no change in length takes place , can I say that the strain so produced is zero. If so then what about the hooks law? 

Grade:12th Pass

4 Answers

Aziz Alam IIT Roorkee
askIITians Faculty 233 Points
6 years ago
The strain is produced . Strain is produced when there is change in length of rod from the normal length of the rod.
In this case when you heated the rod the normal length of rod is not the original length of the rod but the length after the thermal expansion of the rod. Now the because of the wall this shrinked to its original length , so now the strain is the length to which the rod tried to increase but couldn’t
Mantavya
56 Points
6 years ago
So shall I say that the strain produced is Y€T where
Y: youngs modulus
€: coefficient of linear expansion
T: change in temperature?
Mantavya
56 Points
6 years ago
I mean that the strain should be   €T
€: coefficient of linear expansion
T: change in temperature
Mantavya
56 Points
6 years ago
sir please reply …..........................

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