Beam Deflection and Stress Equations and Calculator Beam supported One End, Pin Opposite End and Partial 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 Partial Distributed Load

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 supported One End, Pin Opposite End and Partial Distributed Load


Reaction and Shear Equation

Reaction and Shear Equation


Bending Moments Equation

Bending Moments Equation

Stress Maximum


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 degree (radian)
σmax = Stress max. psi (N/mm2)
Ra,b = Load lbf (N)
  • Deflections apply only to constant cross sections along entire length.

References:

  • Boeing Design Manual, Rev G. 1994 BDM