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


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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:

  • Young, W. C., Budynas, R. G.(2002). Roark's Formulas for Stress and Strain . 7nd Edition, McGraw-Hill.

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