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Beam Deflection, Stress, Strain Equations and Calculators
Area Moment of Inertia Equations & Calculators
Beam Deflection, Stress, Bending Equations and calculator for a Beam Fixed at Both Ends with Partial Tapering Loading..
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Reaction and Shear Equation
Bending Moments Equation
Deflection and End Slope Equation
Where:
| E = |
Modulus of Elasticity |
psi |
(N/mm2) |
| I = |
Moment of Inertia |
in4 |
(mm4) |
| W = |
Load, Total |
lbf |
(N) |
| w = |
Unit Load |
lbs/in |
(N/mm) |
| y = |
Deflection |
inches |
(mm) |
| a, b, c, d, x, L = |
Some distance as indicated |
inches |
(mm) |
| n = |
Distance neutral axis |
inches |
(mm) |
| Vmax = |
Shear Load |
lbf |
(N) |
| Mmax = |
Moment |
lbs-in |
(N-mm) |
| θmax = |
Slope Angle |
degree |
(radian) |
| σmax = |
Stress max. |
psi |
(N/mm2) |
- Deflections apply only to constant cross sections along entire length.
References:
- Young, W. C., Budynas, R. G.(2002). Roark's Formulas for Stress and Strain . 7nd Edition, McGraw-Hill.
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