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Restrained Beam Different Face Temperatures Calculator and Equations

Heat Transfer Engineering

Restrained Rectangular Beam, Different Face Temperatures Calculator and Equations

Stress and moment forces on beam with different face temperatures.

Eq. 1

${\displaystyle M=EI\mathrm{\alpha <!--\; \alpha \; -->}(T_i-<!--\; -\; -->T_o)/t}$

 

Eq. 2

${\displaystyle {\mathrm{\sigma <!--\; \sigma \; -->}}_{bmax}=\pm <!--\; \pm \; -->E\mathrm{\alpha <!--\; \alpha \; -->}(T_1-<!--\; -\; -->T_o)/2}$

Figure 1 Restrained, Different Temperatures

 

Where

 

E = modulus of elasticity
α = coefficient of thermal expansion
T₀ = temperature side o
T_i = temperature side i
σ_bmax = stress

 

• Bell Helicopter Structural Design Manual, 1977

 

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