Beam Deflection and Stress Formula and Calculators Area Moment of Inertia Equations & Calculators
Structural Beam Deflection, Stress, Bending Equations and calculator for a Beam Supported on Both Ends Loaded Two equal Loads.
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Stress and Deflection Beam Supported Both Ends Loaded Two Equal Loads
Calculator
Stress between nearest load and support point
Stress between the two loads
Stress at each load application and all points between
Deflection between nearest load and support point
Deflection between loads
Maximum Deflection at Center
Deflection at loads
Where:
E = 
Modulus of Elasticity 
psi 
(N/mm^{2)} 
I = 
Moment of Inertia 
in^{4} 
(mm^{4)} 
W = 
Load on Beam 
lbs 
(N) 
s = 
Stress at the crosssection being evaluated 
Lbs/in^{2} 
(N/mm^{2}) 
y = 
Deflection (Positive Upward Deflection, Negative Downward 
inches 
(mm) 
x = 
Some distance as indicated 
inches 
(mm) 
a = 
Some distance as indicated 
inches 
(mm) 
v = 
Some distance as indicated 
inches 
(mm) 
= 
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 405 or,
 Machinery's Handbook, 23st Edition, Page 261 or,
 Machinery's Handbook, 27st Edition, Page 262
