Structural Beam Deflection Calculator, Stress, Bending Equations and calculator for a Beam with bending moment applied

Beam Deflection, Stress, Strain Equations and Calculators

Area Moment of Inertia Equations & Calculators

Structural Beam Deflection, Stress, Bending Equations and calculator for a Beam with bending moment applied

Structural Beam Deflection, Shear and Stress Equations and calculator for a Beam supported One End Cantilevered with Reversed Tapered Load.

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Preview Beam Deflection and Stress Calculator

Reaction and Shear Equation

Reaction and Shear Equation

Bending Moments Equation

Bending Moments Equation

Deflection and End Slope 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 (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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