Beam Deflection Deflection and Stress Calculator Equations for Fixed at Both Ends, Load at Center
Beam Deflection and Stress Formula and Calculators
Area Moment of Inertia Equations & Calculators
Structural Beam Deflection, Stress, Bending Equations and calculator for a Beam Fixed at Both Ends, Load at Center.
Beam Moment and Loads at Supports
M = Wl/8
W1=W/2
Open: Moment and Loads at Supports Calculator
Beam Section Modulus Z
Z = I/z
I = Moment of inertia Cross Section : Units in4 (m4)
z = Distance neutral axis to extreme fiber: Units in (m)
General Beam Stress at any Given Point
Beam Stress Between each end and load
Open: Stress Between Each Support and Load Calculator
Beam Stress at Critical Locations/Points
Beam Stress at ends
Beam Stress at Load
Open: Stress at each end and at Load Calculator
Note: These are the maximum Beam stresses and are equal and opposite.
Stress is zero at x = (1⁄/4)l
Beam Deflection at any Point
Maximum Beam deflection, at load
Open: Stress at each End and at Load Calculator
Where:
| E = | Modulus of Elasticity | psi | (N/mm2) |
| I = | Moment of Inertia | in4 | (mm4) |
| W = | Load | lbs | (N) |
| s = | Beam Stress at the cross-section being evaluated | Lbs/in2 | (N/mm2) |
| y = | Beam Deflection | inches | (mm) |
| x = | Some distance as indicated | inches | (mm) |
| u = | Some distance as indicated | inches | (mm) |
| a, b, c & d = | Some distance as indicated | inches | (mm) |
| L = | Some distance as indicated | inches | (mm) |
| l = | 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 "l" (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 405 or,
- Machinery's Handbook, 23st Edition, Page 261 or,
- Machinery's Handbook, 27st Edition, Page 26
Related
- Combined Loading on Circular Shaft in Direct Tension and Torsion Equation and Calculator
- Maximum Shear Stress Theory Fatigue of a Shaft or Axle Formula and Calculator
- Shaft Torsional Deflection and Rigidity Formulas and Calculator
- Static Loading Shaft or Axle Analysis Formula and Calculator - Most shafts are subject to combined bending and torsion, either of which may be steady or variable. Maximum Shear Stress and Von Mises Stress
- Combined Loading on Offset Link, Circular Cross Section, in Direct Tension Equation and Calculator
- Combined Loading Offset Link, Circular Cross Section, in Direct Compression Equation and Calculator
- Combined Loading Offset Link, Rectangular Section, in Direct Tension Stress Equation and Calculator
- Combined Loading Offset Link, Rectangular Section, in Direct Compression Stress Equation and Calculator
- Truss Builder And Calculator Solver
- Truss Bridge Generator with Loading Design and Calculator Tool
- Truss Bridge Loading 2D Design Calculator Tool
- Truss Optimization Simulator 2D Tol and Calculator
- Beam Deflection Equations / Calculator Cantilevered Beam with One Load Applied at End
Link to this Webpage:
© Copyright 2000 -
2024, by Engineers Edge, LLC
www.engineersedge.com
All rights reserved
Disclaimer |
Feedback
Advertising
| Contact
