### Beam Deflection and Stress Equations for a Beam supported One End, One End, Cantilevered at Defined Location and Distributed Load Between Supports

Beam Deflection and Stress Formula and Calculators

Shear, Deflection and Stress Equations and Calculator for a Beam supported One End, Cantilevered at Defined Location and Distributed Load Between Supports

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Beam Reaction and Shear Equation

Beam Bending Moments Equation

Beam 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 = Beam Unit Load lbs/in (N/mm) y = Beam Deflection inches (mm) a, b, c, d, x, L = Some distance as indicated inches (mm) n = Beam Distance neutral axis inches (mm) Vmax = Beam Shear Load lbf (N) Mmax = Beam Moment lbs-in (N-mm) θmax = Slope Angle degree (radian) σmax = 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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