Rectangular Cantilever Beam in Direct Tension and Bending Equations and Calculator

Beam Deflection, Stress Formula and Calculators

Beam Stress and Deflection Calculations for Non-Engineers

Rectangular Cantilever Beam in Direct Tension and Bending:

Circular Cantilever Beam in Direct Compression and Bending

Rule 1: For every calculated normal stress there is a corresponding induced shear stress; the value of the shear stress is equal to half that of the normal stress.

Rule 2: For every calculated shear stress there is a corresponding induced normal stress; the value of the normal stress is equal to that of the shear stress. The tables of combined stress formulas, below, include equations for calculating both maximum nominal tensile or compressive stresses, and maximum nominal shear stresses.


Maximum Nominal Tensile or Compressive Stress

Maximum Nominal Tensile or Compressive Stress


Maximum Nominal
Shear Stress



Where:

L = Length of Beam inches (mm)
h = Height of Beam inches (mm)
b = Width of Beam inches (mm)
Fy =
Applied Load lbs (N)
Fx = Applied Load lbs (N)
σ' a =
Stress, Tensile or Compressive Lbs/in2 (N/mm2)
σ' b = Stress, Tensile or Compressive Lbs/in2 (N/mm2)
τ'a = Stress , Max. Nominal Shear Lbs/in2 (N/mm2)
τ'b = Stress , Max. Nominal Shear Lbs/in2 (N/mm2)

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
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