Bending, Deflection and Stress Equations Calculator for
Beam Supported on Both Ends Uniform Loading

Beam Deflection, Stress Formula and Calculators

Area Moment of Inertia Equations & Calculators

Structural Beam Deflection, Stress, Bending Equations and calculator for a Beam Supported on Both Ends with Uniform Loading Stress and Deflection equations and calculator.

Beams of Uniform Cross Section, Loaded Transversely


Total Load ("W")

or


Line Pressure Load (p)

Open
Beam Deflection, Stress Uniform Loading Calculator


Stress at any point


Stress at center of constant cross section


Deflection at Any Given Point


Maximum deflection at Center

With Total load "W"

or

Maximum deflection at Center

With Line Pressure Load "p"


Where:

E =
Modulus of Elasticity psi

(N/mm2)

I =
Moment of Inertia in4 (mm4)
= Length of Beam inches (mm)
W =
Total Load on Beam lbs (N)
p = With Line Pressure Load psi-in (N/mm)
s =
Stress at the cross-section being evaluated Lbs/in2 (N/mm2)
y =
Deflection inches (mm)
x =
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 "" (lower case "L") is different than "I" (Moment of Inertia).
  • Deflections apply only to constant cross sections along entire length.

References:

  1. Any Machinery's Handbook published since 1931 or,
  2. Machinery's Handbook, 21st Edition, Page 404 or,
  3. Machinery's Handbook, 23st Edition, Page 260 or,
  4. Machinery's Handbook, 27st Edition, Page 261 or,
  5. Marks Standard Handbook for Mechanical Engineers, Tenth Edition 1996, Page 297 (Table 5.2.2)
  6. Mechanical Engineers Handbook, Edited by Myer Kutz, John Wiley & Sons, Inc., 1986, Page 414
  7. Eshback, Handbook of Engineering Fundamentals, Third Edition, Wiley Engineering Handbook Series, 1974, Page 518
  8. Mechanics of Materials, Ferdinand P. Beer & E. Russel Johnston, Jr. ISBN0-07-004291-8
    Contribute Article Spider Optimizer

    © Copyright 2000 - 2017, by Engineers Edge, LLC www.engineersedge.com
    All rights reserved
    Disclaimer | Feedback | Advertising | Contact

Spider Optimizer

Home
Engineering Book Store
Engineering Forum
Excel App. Downloads
Online Books & Manuals
Engineering News
Engineering Videos
Engineering Calculators
Engineering Toolbox
Engineering Jobs
GD&T Training Geometric Dimensioning Tolerancing
DFM DFA Training
Training Online Engineering
Advertising Center



Copyright Notice

Publishing Program