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Strength Of Materials Miscellaneous

Strength Of Materials

  1. A circular rod of length L and area of crosssection A has a modulus of elasticity E and coefficient of thermal expansion α. One end of the rod is fixed and other end is free. If the temperature of the rod is increased by ∆T, then
    1. stress developed in the rod is Eα∆T and strain developed in the rod is a ∆T
    2. both stress and strain developed in the rod are zero
    3. stress developed in the rod is zero and strain developed in the rod is α∆T
    4. stress developed in the rod is Eα∆T and strain developed in the rod is zero
Correct Option: C

Since one end of the rod is fixed and other is free to expand. Hence the temperature stresses is zero

ε
δL
α∆TL
= α∆T
LL



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