Free Shear Stress Calculator

Calculate the average shear stress acting on a cross-section from an applied shear force.

kN
mm^2

Average Shear Stress

16.67 MPa

Average Shear Stress vs Shear Force (V)

Average Shear Stress

Shear stress arises from forces acting parallel to a cross-section.

Formula

tau_avg = V / A

where V is the internal shear force and A is the cross-sectional area resisting the shear. For beams, the actual shear stress distribution is parabolic (maximum at the neutral axis), and the peak value for a rectangle is 1.5 times the average.

Example Calculation

A steel plate connection with 3000 mm^2 shear area carries 50 kN.

  1. 01Convert force: 50 kN = 50,000 N
  2. 02tau = 50,000 / 3,000 = 16.67 MPa

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