Beam Deflection and Stress Formula and Calculators
Structural Beam Deflection, Stress, Bending Equations and calculator for a Cantilevered Beam with Uniform Load.
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Beam Bending and Stress
Cantilevered Beam with Uniform Load Calculator
Stress at specific point
Stress at the support (must be constant cross section)
Deflection at specified point
Deflection at the unsupported end, With Total load "W"
or
Deflection at the unsupported end, With Line Pressure Load "p"
Where:
E = 
Modulus of Elasticity 
psi 
(N/m^{2)} 
I = 
Moment of Inertia 
in^{4} 
(m^{4)} 
W = 
Total Load on Beam (Not Line Load) 
lbs 
(N) 
p = 
With Line Pressure Load 
psiin 
(Nm) 
s = 
Stress at the crosssection being evaluated 
Lbs/in^{2} 
(N/m^{2)} 
y = 
Deflection 
inches 
(m) 
x = 
Some distance as indicated 
inches 
(m) 
Z = 
section modulus of the crosssection of the beam 


Z = 
I ÷ distance from neutral axis to extreme fiber (edge) 


= 
Length as indicated 
inches 
(m) 
 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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