Deflection Calculator for Triangular Shape Fixed End Single Concentrated Force Applied Beam Deflection
Beam Deflection, Stress, Strain Equations and Calculators
Area Moment of Inertia Equations & Calculators
Beam Triangular Shape Deflection Equation Calculator with Variable Shape Fixed End Single Concentrated Force Applied
- Cross Section: Rectangle: width y variable, depth h constant
- Elevation: Rectangal
- Plan: Triangle
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Equations
Ss = b d2 / 24
I2 = b d3 / 36
y = 6 P x / ( h2 Ss )
b1 = 6 P l / ( h2 Ss )
Deflection at A:
f = ( 6 P / b1 E ) ( l / h )3
Where:
| E = | Modulus of Elasticity | psi | (N/mm2) |
| I = | Moment of Inertia | in4 | (mm4) |
| P = | Force | lbf | (N) |
| f = | Deflection | inches | (mm) |
| Ss= | Section Modulus | in3 | (mm3) |
| a, b, c, d, x, l = | Some distance as indicated | inches | (mm) |
References:
- Civil Engineering Formulas, Tyler G. Hicks, PE International Engineering Associates
Related
- Beam Bending Equations / Calculation Free and Guided on One End, Rigid one End With Uniform Load
- Beam Bending Equations / Calculation Supported on Both Ends With Overhanging Supports of equal Length and Equal Loads
- Beam Bending Equations / Calculation Supported on Both Ends Loaded Two equal Loads
- Beam Bending Equations / Calculation with Ends Overhanging Supports and a Two Equal Loads applied at Symmetrical Locations
- Beam Bending Equations / Calculation with End Overhanging Supports and a Single Load
- Beam Bending Equations / Calculation Cantilevered Beam with One Load Applied at End
- Beam Bending Equations / Calculation Cantilevered Beam with Uniform Load
- Beam Bending Equations / Calculation Supported on One End, Rigid one End With Uniform Load
- Beam Bending Equations / Calculation Cantilevered Beam with Load at Location Between Support and Load
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