Beam Deflection Equations including Stress for a Beam supported One End, Cantilevered at Defined Location and Single Load at End

Beam Deflection and Stress Formula and Calculators

Area Moment of Inertia Equations & Calculators

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

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Beam Reaction and Shear Equation

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Beam Moments Equation

Beam Stress Maximum

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