Beam Deflection Equations and Calculator for a Beam supported One End, Pin Opposite End and One Tapered Distributed Load
Beam Deflection and Stress Formula and Calculators
Area Moment of Inertia Equations & Calculators
Beam Deflection, Shear and Stress Equations and Calculator for a Beam supported One End, Pin Opposite End and One Tapered Distributed Load.
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Beam Reaction and Shear Equation
Beam Bending Moments Equation
Stress Maximum
Beam Deflection and End Slope Equation
Where:
E = | Modulus of Elasticity | psi | (N/mm2) |
I = | Moment of Inertia | in4 | (mm4) |
W = | Beam Load, Total | lbf | (N) |
w = | Unit Load | lbs/in | (N/mm) |
y = | Beam Deflection | inches | (mm) |
a, b, c, d, x, L = | Some distance as indicated | inches | (mm) |
e = | Centroid | inches | (mm) |
n = | Distance neutral axis | inches | (mm) |
Vmax = | Shear Load | lbf | (N) |
Mmax = | Moment | lbs-in | (N-mm) |
θmax = | Beam Slope Angle | degree | (radian) |
σmax = | Beam Stress max. | psi | (N/mm2) |
- Beam Deflections apply only to constant cross sections along entire length.
References:
- Boeing Design Manual, Rev G. 1994 BDM
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