Shear Stress Calculator
Calculate shear stress step by step: Average τ = V ÷ A; rectangular beam max τ = 1.5V ÷ A; solid shaft τ = 16T ÷ (πd³).
In short
Formula: Average τ = V ÷ A; rectangular beam max τ = 1.5V ÷ A; solid shaft τ = 16T ÷ (πd³).
Average shear stress
50 MPa
- Formula
- τ = V ÷ A
What this calculator does
Calculate shear stress step by step: Average τ = V ÷ A; rectangular beam max τ = 1.5V ÷ A; solid shaft τ = 16T ÷ (πd³). Worked example, questions and limitations included.
Use it to turn Case, Shear force V (or torque T in N·m), Area (for V cases), Shaft diameter (torsion) into a checked result you can compare, copy, or rerun with different assumptions.
The page shows the formula, a numeric worked example, and the assumptions that affect this mechanical calculation.
Inputs and what they mean
- Case
- — choice value.
- Shear force V (or torque T in N·m)
- — number value.
- Area (for V cases)
- — number value.
- Shaft diameter (torsion)
- — number value.
How to use it
- Enter each value in the unit shown next to the box (use the unit converter first if your numbers are in other units).
- Check the breakdown to see every intermediate step.
- Read the limitations before relying on the result.
Formula
N ÷ mm² = MPa.
Torsion case expects torque in N·m and diameter in mm.
Area and diameter must be above zero.
Average τ = V ÷ A; rectangular beam max τ = 1.5V ÷ A; solid shaft τ = 16T ÷ (πd³).
Inputs used: Case, Shear force V (or torque T in N·m), Area (for V cases), Shaft diameter (torsion).
Worked example
10 kN on a 200 mm² pin
- τ = 10,000 ÷ 200 = 50 MPa.
Reading the result
The headline figure is the main answer. Any breakdown underneath shows the parts that make it up, so you can check the working and see what changes when you adjust an input.
Limitations and assumptions
- Elastic behaviour.
- Three standard cases.
- No stress concentration factors.
- Results are estimates for planning and learning. Real designs, installations and bids must be checked by a qualified, licensed professional against the codes that apply where you work.
- The result depends on the values you enter for this shear stress calculator; it does not supply missing rates, rules, prices, dates, or assumptions for you.
Common questions
What is double shear?
A pin loaded through two planes carries half the force on each. Enter twice the area to model it.
Why 1.5 for a rectangular beam?
Shear stress in a rectangular section peaks at the neutral axis at 1.5 times the average. Check the formula, example, and limitations on this page before using the result for a real mechanical decision.
Is the shaft formula for hollow shafts?
No, it is for solid round shafts only. Check the formula, example, and limitations on this page before using the result for a real mechanical decision.
How do I use the Shear Stress Calculator?
Enter the required values for Case, Shear force V (or torque T in N·m), Area (for V cases), Shaft diameter (torsion). The calculator applies the formula on this page and shows the main result with any supporting breakdown so you can check the arithmetic.
What formula does the Shear Stress Calculator use?
Average τ = V ÷ A; rectangular beam max τ = 1.5V ÷ A; solid shaft τ = 16T ÷ (πd³). The visible formula section above lists the calculation path and the edge cases the page handles, so the result can be checked without relying on the form alone.
Can the Shear Stress Calculator be used for exact decisions?
Use it as a calculation aid, not as a substitute for checking the underlying rule, contract, policy, or professional advice that applies to your situation. When a result depends on local rules, personal details, prices, or dates, enter those values yourself and confirm them before acting.
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