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Single Dissimilar Materials Lap Joint Equations and Calculator

Fastener, Bolt and Screw Design Torque and Force Calculations

Single Lap Joint with Dissimilar Materials Loads Calculator and Equations

If the joint is a single lap joint as shown below and are subjected to temperature changes, the equation for the loads in the materials as as follows:

Preview Single Lap Joint with Dissimilar Materials Loads Calculator

Eq. 1
${\displaystyle P=\frac{{\mathrm{\alpha <!--\; \alpha \; -->}}_1{L}_1(T_1-<!--\; -\; -->T_0)-<!--\; -\; -->{\mathrm{\alpha <!--\; \alpha \; -->}}_2{L}_2(T_2-<!--\; -\; -->T_0)+g_1+g_2}{L_1/A_1{E}_1+L_2/A_2{E}_2}}$

Figure 1, Single Lap Joint

Where

A₁ = Section area of plate 1
A₂ = Section area of plate 2
L = length
g₁ = gap plate 1
g₂ = gap plate 2
E = modulus of elasticity
T₀ = Initial temperature
T₂ = final temperature plate 1
T = final temperature plate 2
α₁ = Coefficient of thermal expansion plate 1
α₂ = Coefficient of thermal expansion plate 2
P = load

• Bell Helicopter Structural Design Manual, 1977

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