Average Direct Shear Stress
Estimate nominal shear stress across a single shear plane.
Try this formula
Calculate average direct shear stress magnitude or choose another supported quantity.
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Try this formula
Calculate average direct shear stress magnitude or choose another supported quantity.
Use decimals or scientific notation, such as 1.2e3. Calculations update as you type.
Average direct shear stress magnitude
Enter the known values to see the result.
Use the force carried by the particular shear plane. This is an average direct-shear model; it does not describe the nonuniform transverse shear distribution in a beam. For two equally loaded shear planes, each plane carries half the total force.
Difficulty
Beginner
Read time
4 min
Prerequisites
Basic algebra, mechanics, and consistent SI units
Source
Donney Fan — MECH 360 — Mechanics of MaterialsReference equation: Stress & Strain — Average shear stress. FormuLab wrote new explanations, assumptions, applications, and numerical examples.
Definition
Dividing the shear force by the resisting area gives a nominal connection stress. Splitting a load between two identical shear planes halves the force per plane.
Variables & Units
| Symbol | Meaning | Units |
|---|---|---|
| Average direct shear stress magnitude | ||
| Shear force carried by one plane | ||
| Area of that shear plane |
Real-World Applications
Pin connections
Estimate average pin stress in single shear.
Lap joints
Compare nominal shear demand among connection sizes.
Worked Example
Problem
A connection transfers 6,000 N across a single shear area of 0.0002 m². Find the average shear stress.
Given
Solution
Final Answer
Contents
Info
Tools
Source & review
Reference equation: Stress & Strain — Average shear stress. FormuLab wrote new explanations, assumptions, applications, and numerical examples.
Assumptions
- • Use the force carried by the particular shear plane.
- • This is an average direct-shear model; it does not describe the nonuniform transverse shear distribution in a beam.
- • For two equally loaded shear planes, each plane carries half the total force.
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