Beam Deflection and Stress for Variable Shape Fixed End Single Concentrated Force Applied
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 | ||
a, b, c, d, x, l = | Some distance as indicated | inches | (mm) |
References:
- Civil Engineering Formulas, Tyler G. Hicks, PE International Engineering Associates