Shear Stress Calculator

Formula

The formula to calculate the shear stress is:

\[ s = \frac{V \cdot Q}{I \cdot t} \]

Where:

\(s\) is the shear stress (N/m^2)
\(V\) is the total shear force (N*m)
\(Q\) is the first moment of area (m^3)
\(I\) is the moment of inertia (m^4)
\(t\) is the thickness of the material (m)

What is Shear Stress?

Shear stress is stress seen in objects that is co-planar with the material cross-section. That is, stress that is acting in the same direction as the cross-section. This stress is only one component of the total stress on an object under force.

Example Calculation

Let's assume the following values:

Total Shear Force (V) = 500 N*m
First Moment of Area (Q) = 0.02 m^3
Moment of Inertia (I) = 0.005 m^4
Thickness of Material (t) = 0.01 m

Using the formula:

\[ s = \frac{500 \times 0.02}{0.005 \times 0.01} = 200000 \text{ N/m}^2 \]

The Shear Stress is 200,000 N/m².