Applied Physics I: Chapter 3: Properties of Matter - Thermal Physics
Thermal Stress
Definition, Description, Equation
Temperature changes cause the body to expand (or) contract. If temperature changes are permitted to occur freely, no load (or) stress will be induced in the structure.
THERMAL
STRESS
Definition
Temperature
changes cause the body to expand (or) contract. If temperature changes are
permitted to occur freely, no load (or) stress will be induced in the
structure. In some cases where temperature change is not permitted, wherein an
internal stress is created. The internal stress created is known as thermal
stress.
Description
Let
us consider a homogeneous rod mounted between unyielding supports as shown in
Fig 3.3, the thermal stress is computed as follows.
Let
σ be the coefficient of thermal expansion,
L
is the length of the rod,
ΔT
= (T1‒T2) is the change in temperature, then
Deformation
produced due to change in temperature is given by
δT = αLΔT
Similarly,
If σ is the thermal stress and E is the modulus of elasticity of the rod, then
Deformation
produced due to equivalent axial stress is given by
δP = σL / E ………..(2)
At
equilibrium state
Deformation
due to change in Temperature = Deformation due to equivalent axial stress
∴ δT = δP ......(3)
By
substituting equations (1) and (2) in equation (3), we get
αLΔT = σL / E
Thermal
stress σ = Ε α ΔΤ
Applied Physics I: Chapter 3: Properties of Matter - Thermal Physics : Tag: Applied Physics : Definition, Description, Equation - Thermal Stress
Applied Physics I: Chapter 3: Properties of Matter - Thermal Physics
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