Shear Stress Calculator
Find shear stress from force and area.
Results update as you type.
How it works
Shear stress measures the intensity of a force acting parallel to a surface, and this calculator computes it. You enter the shear force and the cross-sectional area, and it returns the shear stress in pascals and megapascals. The formula is simply force divided by area, but the concept is central to engineering: shear stress arises whenever a load tends to make one part of a material slide past an adjacent part, such as a bolt being cut by the plates it joins, a beam resisting transverse loads, or a shaft transmitting torque. Comparing the shear stress to the material's shear strength tells engineers whether a part will hold or fail, which is why this calculation underlies the design of fasteners, welds, pins, adhesive joints, and structural members. Because stress depends on area, a larger cross-section reduces stress for the same force, which is how designers keep parts safely below their strength limits. The result in pascals (newtons per square meter) is the SI unit, and megapascals are convenient since engineering stresses are often large. Keep units consistent: force in newtons and area in square meters give pascals directly. This is the average shear stress over the area; the actual distribution can vary, and specific cases like beams use refined formulas. Enter the shear force and area to find the shear stress.
τ = F / A
Shear stress is the force applied parallel to a surface divided by the cross-sectional area resisting it. Dividing the shear force in newtons by the area in square meters gives the stress in pascals. It measures how much a material is being sheared, or forced to slide, along the area.
Source:Mechanics of materials
We review all our tools from time to time to ensure accuracy.
Worked example
How to use this calculator
- 1
Enter your values
Enter shear force and cross-sectional area.
- 2
Adjust the options
Fine-tune any options to match your situation.
- 3
Read your result
Shear stress updates instantly as you type — no button to press.
Frequently asked questions
What is shear stress?
Shear stress is the force acting parallel to a surface divided by the area resisting it, measuring how intensely a material is being forced to slide along that area. It differs from normal stress, which acts perpendicular to the surface. Shear stress is fundamental in analyzing bolts, welds, beams, and shafts under load.
How is shear stress calculated?
Divide the shear force by the cross-sectional area over which it acts. With force in newtons and area in square meters, the result is in pascals. For example, 1000 newtons over 0.01 square meters gives 100,000 pascals, or 0.1 megapascals. The calculator returns both units from your inputs.
How does shear stress differ from normal stress?
Normal stress acts perpendicular to a surface, either pulling it apart (tension) or pushing it together (compression), while shear stress acts parallel to the surface, tending to make layers slide past each other. Both are force divided by area, but their direction relative to the surface and their effect on the material differ.
Where does shear stress matter in engineering?
Shear stress governs the design of bolts and rivets that could be sheared by the parts they connect, welds and adhesive joints, pins and keys, beams carrying transverse loads, and shafts transmitting torque. Engineers compare the shear stress to the material's shear strength, with a safety factor, to ensure parts do not fail.
Is this the average or maximum shear stress?
This calculator gives the average shear stress, force divided by area, which is the standard measure for direct shear in fasteners and simple connections. In some cases, such as bending in beams or torsion, the shear stress varies across the section and peaks higher than the average, requiring specific formulas for those situations.