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")


Line Pressure Load (p)

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"


Maximum deflection at Center

With Line Pressure Load "p"


E =
Modulus of Elasticity psi


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.


  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
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