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

Beam Deflection and Stress Formula and Calculators

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

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Reaction and Shear Equation

Bending Moments Equation

Stress Maximum

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:

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