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Beam Deflection and Stress Formula and Calculators
Engineering Calculators

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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/m2) |
| I = |
Moment of Inertia |
in4 |
(m4) |
| W = |
Load |
lbs |
(N) |
| s = |
Stress at the cross-section being evaluated |
Lbs/in2 |
(N/m2) |
| y = |
Deflection |
inches |
(m) |
| x = |
Some distance as indicated |
inches |
(m) |
| u = |
Some distance as indicated |
inches |
(m) |
| c = |
Some distance as indicated |
inches |
(m) |
| l = |
Some distance as indicated |
inches |
(m) |
| Z = |
section modulus of the cross-section of the beam |
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| Z = |
I ÷ distance from neutral axis to extreme fiber
(edge) |
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