Beam Deflection and Stress Equations Calculator for Cantilevered Beam with Uniform Load

Beam Deflection and Stress Formula and Calculators

Area Moment of Inertia Equations & Calculators

Structural Beam Deflection, Stress, Bending Equations and calculator for a Cantilevered Beam with Uniform Load.

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Beam Beam and Stress Cantilevered Beam with Uniform Load 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, With Total load "W"

or

Beam Deflection at the unsupported end, With Line Pressure Load "p"

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Where:

E =	Modulus of Elasticity	psi	(N/mm2)
I =	Moment of Inertia	in4	(mm4)
W =	Total Load on Beam (Not Line Load)	lbs	(N)
p =	With Line Pressure Load	psi-in	(N/mm)
s =	Stress at the cross-section being evaluated	Lbs/in2	(N/mm2)
y =	Beam Deflection	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)
=	Length as indicated	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 407 or,
• Machinery's Handbook, 23st Edition, Page 263 or,
• Machinery's Handbook, 27st Edition, Page 264

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