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 With Overhanging Supports of equal Length and Uniform Loading .
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Deflection and Stress Beam For Supported on Both Ends Calculator
Stress between nearest support point and outer end
Stress between the two supports
Stress at load center
Stress at supports
If crosssection is constant,
the greater of these is the
maximum stress.
If l is greater than 2c, the
stress is zero at points on both sides
of the center.
If crosssection is constant
and if l = 2.828c, the stresses
at supports and center are
equal and opposite, and are:
Deflection between support point and outer end
Deflection between supports
Deflection at the ends
Deflection at center
If l is between 2c and 2.449c,
there are maximum upward deflections
at points
on
both sides of the center, which are,
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) 
L = 
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 26
