Beam Deflection and Stress Formula and Calculators Area Moment of Inertia Equations & Calculators
Structural Beam Deflection, Stress, Bending Equations and calculator for a Beam with End Overhanging Supports and a Single Load.
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Deflection, Stress Beam End Overhanging Supports and Single Load
Calculator
Stress between load and nearest support
Stress between the two supports
Stress at support nearest load
Deflection between load nearest (adjacent support)
Deflection between supports
Deflection between nonloaded end and nearest support
Deflection at the load
Deflection at the unloaded ends
Where:
E = 
Modulus of Elasticity 
psi 
(N/mm^{2)} 
I = 
Moment of Inertia 
in^{4} 
(mm^{4)} 
W = 
Load 
lbs 
(N) 
s = 
Stress at the crosssection being evaluated 
Lbs/in^{2} 
(N/mm^{2}) 
y = 
Deflection 
inches 
(mm) 
u = 
Some distance as indicated 
inches 
(mm) 
x = 
Some distance as indicated 
inches 
(mm) 
c = 
Some distance as indicated 
inches 
(mm) 
= 
Some distance as indicated 
inches 
(mm) 
w = 
Some distance as indicated 
inches 
(mm) 
d = 
Some distance as indicated 
inches 
(mm) 
Z = 
section modulus of the crosssection of the beam = I/z 
in^{3} 
(mm^{3)} 
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 407 or,
 Machinery's Handbook, 23st Edition, Page 263 or,
 Machinery's Handbook, 27st Edition, Page 264
