Normal & Shear Stress

Compute normal stress σ (perpendicular force) and shear stress τ (parallel force) on a cross-section; direct area input supported.

Inputs

Formula

σ = F/A; τ = Fs/As
σ_yσ_yσ_xσ_xτ
Normal & Shear Stress schematic

How to use

  1. Fill in Axial force F, Area A, Shear force Fs, Shear area As in the Inputs section (watch the unit on each field).
  2. Click Calculate; the tool evaluates the formula shown above.
  3. Read Normal stress σ, Shear stress τ in the results area.
Formula notesPlane-stress principal σ1,2 = (σx+σy)/2 ± √[((σx−σy)/2)² + τ²]; max shear τ_max = √[((σx−σy)/2)² + τ²].