Question

A wire of length L and area of cross-section A is held straight between two rigid supports. It has zero stress at 0°C. Show that the stress in the wire at 100°C is 100 aY, where a is coefficient of linear expansion and Y is young's modulus of elasticity of the wire.

Answer 1

162.





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Answer 2

Thermal expansion or extension or strain due to the increase in temperature

= Delta L = L × a × (100° - 0°) = strain

= 100 a L

Thus strain and the stress produced in the material due to its ends being tightly held are related by Young's modulus Y.

Stress = Y × strain = 100 a L Y

That's the answer..