Beam Deflection and Stress Formula and Calculators
Open
Calculator
Stress at specific point
Stress at the support (must be constant cross section)
Deflection at specified point
Deflection at the unsupported end
Where:
E = 
Modulus of Elasticity 
psi 
(N/m^{2)} 
I = 
Moment of Inertia 
in^{4} 
(m^{4)} 
W = 
Load 
lbs 
(N) 
s = 
Stress at the crosssection being evaluated 
lbs/in^{2} 
(N/m^{2)} 
y = 
Deflection 
inches 
(m) 
= 
Some distance as indicated 
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) 


 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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