Beam Deflection and Stress Formula and Calculators
Area Moment of Inertia Equations & Calculators
Stress Deflection Moment Equations and Calculator Beam Supported Distributed Uniform Loading Applied

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Reaction and Shear Equation

Bending Moments Equation
Deflection and End Slope Equation

Where:
E = |
Modulus of Elasticity |
psi |
(N/mm2) |
I = |
Moment of Inertia |
in4 |
(mm4) |
W = |
Load, Total |
lbf |
(N) |
w = |
Unit Load |
lbs/in |
(N/mm) |
y = |
Deflection |
inches |
(mm) |
a, b, c, d, x, L = |
Some distance as indicated |
inches |
(mm) |
n = |
Distance neutral axis |
inches |
(mm) |
Vmax = |
Shear Load |
lbf |
(N) |
Mmax = |
Moment |
lbs-in |
(N-mm) |
θmax = |
Slope Angle |
degree |
(radian) |
σmax = |
Stress max. |
psi |
(N/mm2) |
- Deflections apply only to constant cross sections along entire length.
References:
- Boeing Design Manual, Rev G. 1994 BDM
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