Question

Relation between delta l thermal and delta l elastic in thermal stress

Answer 1

Answer:

Thermal stress is stress created by any change in temperature to a material. ... Temperature gradients, thermal expansion or contraction and thermal shocks are things that can lead to thermal stress. This type of stress is highly dependent on the thermal expansion coefficient which varies from material to material.

Answer 2

Explanation:

Metal rod either expands or contract on heating or cooling. A stress is produced in rod if it is restricted from expanding or contracting. This stress is directly proportional to the thermal strain.

Thermal strain = Change in length / original length

Thermal strain = Δ L / L

Thermal strain = α L ΔT / L —— Linear thermal expansion (Δ L = α L ΔT).

Thermal strain = α ΔT

Young’s modulus of material = Stress / Strain

Y = Stress / α ΔT

So Stress = Y α ΔT

Therefore, Force = Y A α ΔT

Y = Young’s modulus of elasticity

α = coefficient of linear expansion.

∆T = increase in temperature

A = Area