Bending, Deflection and Stress Equations Calculator for Simply Supported on Both Ends Under Superimposed Loading

Beam Deflection and Stress Formula and Calculators

Area Moment of Inertia Equations & Calculators

Structural Beam Deflection, Stress, Bending Equations and calculator for a Simply Supported Beam on Both Ends Under Superimposed Loading Equations.

Beams of Uniform Cross Section, Loaded Transversely

Beams of Uniform Cross Section, Loaded Transversely

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Beam Bending and Stress Beams of Uniform Cross Section Calculator


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Structural Beam Deflection, Stress Formula

Structural Beam Deflection, Stress Formula


Where:

E = 
Modulus of Elasticity psi

(N/mm2)

I =
Moment of Inertia in4 (mm4)
L = Length of Beam inches (mm)
F =
 Loading Point lbs (N)
Mn = Moment Calculated psi-in (N-mm)
WL
Distributed Load Amplitude Lbs/in2 (N/mm)
Wa
Distributed Load Amplitude Lbs/in2 (N/mm)
y =
Deflection inches (mm)
an =
Some distance as indicated inches (mm)
  • Deflections apply only to constant cross sections along entire length.

References:

  1. Roark's Stress & Strain