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

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

Area Moment of Inertia Equations & Calculators

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

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

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Beam Reaction and Shear Equation

Reaction and Shear Equation

Beam Bending Moments Equation

Bending Moments Equation

Beam Stress Maximum

Beam 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 =	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)
V_max =	Beam Shear Load	lbf	(N)
M_max =	Beam Moment	lbs-in	(N-mm)
θ_max =	Slope Angle	degree	(radian)
σ_max =	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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Beam Deflection Equations / Calculator Cantilevered Beam with One Load Applied at End