Shear Stress Calculator

Engineering Calculators › Shear Stress Calculator
Engineering · Mechanical

Shear Stress Calculator

Find the shear stress in a pin, bolt, punched hole or beam — then check it against the material with a safety factor so you know whether the part actually passes.

Shear stress

Three Kinds of Shear

Shear stress is force acting parallel to a surface, divided by the area resisting it. It shows up three common ways. Direct shear is a pin, bolt or rivet cut across its shank — stress is simply force over the cross-section, halved if the pin is in double shear. Punching shear is a punch driving through a plate, where the resisting area is the hole perimeter times the thickness. Beam shear is the transverse shear inside a loaded beam, which peaks at the neutral axis rather than spreading evenly.

Direct: τ = F / A  ·  Punching: τ = F / (πdt)  ·  Beam: τmax = kV / A

Does It Pass? Strength and Safety Factor

A stress number on its own does not tell you much. What matters is how it compares to what the material can take. The shear strength of a ductile metal is roughly 58% of its tensile yield (the von Mises result) or about 60% of tensile ultimate. Divide that by a safety factor to get the allowable working stress; if the applied shear stays under it, the part passes. This calculator reports the actual safety factor so you can see how much margin is left.

Single vs Double Shear

A pin in double shear is cut across two planes instead of one, so each plane carries half the load and the stress halves. That is why clevis joints are so common — the same pin and the same material suddenly has twice the capacity. Adding a shear plane is often the cheapest way to make a failing joint pass.

Frequently Asked Questions

How do you calculate shear stress?

Divide the force acting parallel to the surface by the area resisting it. For a pin, that is force over cross-sectional area; in double shear, divide by two areas.

What is the difference between single and double shear?

Single shear has one cut plane; double shear has two, so each carries half the force and the shear stress is halved for the same load.

What is the shear strength of steel?

For mild steel it is roughly 0.58 of the tensile yield (about 145 MPa for A36) or near 0.6 of tensile ultimate; always confirm with the material datasheet.

Why is beam shear highest at the centre?

The transverse shear distribution in a beam is parabolic, zero at the top and bottom fibres and maximum at the neutral axis – 1.5 times the average for a rectangle.

For education and estimating. Real joints involve bearing, tear-out, bending, fatigue, stress concentration and friction; shear strength values are approximate. Confirm critical connections against the governing code and material data.
Scroll to Top

The calculators and tools on Formula Factory are provided for general guidance and informational purposes only. Results are estimates based on standard formulas and the values you enter — they do not constitute professional engineering, electrical, or architectural advice. Always verify calculations with a qualified professional before making decisions for any safety-critical, code-compliance, or commercial application. Formula Factory makes no representations or warranties as to the accuracy or completeness of any result, and accepts no liability for errors, omissions, or any outcomes arising from reliance on this information.