Beam Deflection and Stress Equations Calculator for Cantilevered Beam with One Load Applied at End

Beam Deflection and Stress Formula and Calculators

Area Moment of Inertia Equations & Calculators

Structural Beam Deflection, Stress Equations and calculator for a Cantilevered Beam with One Load Applied at End.

Beam Stress Cantilevered Beam One Load Applied at End Calculator

Beam Stress at specific point

Beam Stress at the support (must be constant cross section)

Beam Deflection at specified point

Beam Deflection at the unsupported end


E =  Modulus of Elasticity psi


I = Moment of Inertia in4 (mm4)
W =  Load lbs (N)
s =  Stress at the cross-section being evaluated lbs/in2 (N/mm2)
y = Beam Deflection inches (mm)
Some distance as indicated 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.


  • Any Machinery's Handbook published since 1931 or,
  • Machinery's Handbook, 21st Edition, Page 408 or,
  • Machinery's Handbook, 23st Edition, Page 264 or,
  • Machinery's Handbook, 27st Edition, Page 265