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Beam Deflection and Stress Formula and Calculators
Engineering Calculators
Area Moment of Inertia Equations & Calculators
Beam Bending Equations Calculator Supported on Both Ends Single Load at Center.
Open
Calculator
Stress between load and support points
Stress at center of constant cross section
Deflection between load and support points
Maximum deflection at load
Where:
| E = |
Modulus of Elasticity |
psi |
(N/mm2) |
| I = |
Moment of Inertia |
in4 |
(mm4) |
| W = |
Load |
lbs |
(N) |
| s = |
Stress at the cross-section being evaluated |
Lbs/in2 |
(N/mm2) |
| y = |
Deflection |
inches |
(mm) |
| x = |
Some distance as indicated |
inches |
(mm) |
 = |
Some distance as indicated |
inches |
(mm) |
Z = |
section modulus of the cross-section of the beam = I/z |
in3 |
(mm3) |
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 404 or,
- Machinery's Handbook, 23st Edition, Page 260 or,
- Machinery's Handbook, 27st Edition, Page 261
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