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 Ends Overhanging Supports and a Two Equal Loads applied at Symmetrical Locations.
Open
Beam Stress, Deflection Two Equal Loads Applied Symmetrical Locations
Calculator
Stress between loads and nearest support
Stress between the two supports
Stress at supports and all point along length between
supports
Deflection between load nearest (adjacent) support
Deflection between supports
Deflection at the loads
Deflection at the center of the beam
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) 
x = 
Some distance as indicated 
inches 
(mm) 
u = 
Some distance as indicated 
inches 
(mm) 
c = 
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 407 or,
 Machinery's Handbook, 23st Edition, Page 263 or,
 Machinery's Handbook, 27st Edition, Page 264
