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Beam Deflection, Stress, Strain Equations and Calculators
Area Moment of Inertia Equations & Calculators
Beam Deflection Equation Calculator with Variable Shape Fixed End Single Concentrated Force Applied
- Cross Section: Rectangle width b constant and depth y variable.
- Elevation 1) Top straight line and bottom patabola. 2) Complete parabola.
- Plan: rectangle
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Equations
Ss = I / c2
c2 = (5 b) / 8
I2 = (19 b3 d) / 480
y2 = (6 P x) / (b Ss )
h = (6 P l / b Ss)1/2
f = ( 8 P / b E ) ( l / h )3
Where:
| E = |
Modulus of Elasticity |
psi |
(N/mm2) |
| I = |
Moment of Inertia |
in4 |
(mm4) |
| P = |
Force |
lbf |
(N) |
| h = |
Deflection |
inches |
(mm) |
| Se= |
Section Modulus |
|
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| a, b, c, d, x, l = |
Some distance as indicated |
inches |
(mm) |
References:
- Civil Engineering Formulas, Tyler G. Hicks, PE International Engineering Associates
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