A cylindrical metal rod of length L Young's modulus of elasticity Y and thermal coefficient of linear expansion Alpha is fixed between two concrete was the cross section area of the rod is a if the temperature of the rod is increased by Delta theta the compressive force development can be written as
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Answer:
YA(alpha)delta theta
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is the expression for force due to change in temperature in the given terms.
Explanation:
Given:
- length of rod,
- young's modulus of the rod material,
- coefficient of linear thermal expansion,
- cross-section area of the rod,
- increase in temperature,
Now the tendency of change in length due to temperature change will induce strain:
.................................(1)
Now, we also have the stress considering this strain:
Therefore the force due to this stress:
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