Beam Deflection and Stress Equations Calculator for Cantilevered Beam with One Load Applied at End

Beam Deflection and Stress Formula and Calculators

Area Moment of Inertia Equations & Calculators

Structural Beam Deflection, Stress Equations and calculator for a Cantilevered Beam with One Load Applied at End.

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Beam Stress Cantilevered Beam One Load Applied at End Calculator

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Beam Stress at specific point

Beam Stress at the support (must be constant cross section)

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Beam Deflection at specified point

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Beam Deflection at the unsupported end

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Where:

E =	Modulus of Elasticity	psi	(N/mm2)
I =	Moment of Inertia	in4	(mm4)
W =	Load	lbs	(N)
s =	Stress at the cross-section being evaluated	lbs/in2	(N/mm2)
y =	Beam Deflection	inches	(mm)
=	Some distance as indicated	inches	(mm)
x =	Some distance as indicated	inches	(mm)
Z =	section modulus of the cross-section of the beam = I/z	in3	(mm3)
z =	distance from neutral axis to extreme fiber (edge)	inches	(mm)

• Please note letter "" (lower case "L") is different than "I" (Moment of Inertia).
• Deflections apply only to constant cross sections along entire length.

References:

• Any Machinery's Handbook published since 1931 or,
• Machinery's Handbook, 21st Edition, Page 408 or,
• Machinery's Handbook, 23st Edition, Page 264 or,
• Machinery's Handbook, 27st Edition, Page 265

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