Shear Flow Calculator

Formula

The formula to calculate the Shear Flow is:

\[ q = \frac{V \times Q}{I} \]

Where:

\(q\) is the shear flow in N/mm
\(V\) is the shear force in N
\(Q\) is the first moment of area in mm⁴
\(I\) is the section modulus in mm³

What is Shear Flow?

Shear flow is a measure of how a shear force is distributed over a cross-section of a beam. It is a critical parameter in the design and analysis of beams and other structural components, as it helps to determine the shear stress distribution within the material. Understanding shear flow is essential for ensuring that structures can withstand the forces they are subjected to without failing.

Example Calculation 1

Let's assume the following values:

Shear Force (V) = 500 N
First Moment of Area (Q) = 2000 mm⁴
Section Modulus (I) = 1000 mm³

Using the formula:

\[ q = \frac{500 \times 2000}{1000} = 1000 \text{ N/mm} \]

The Shear Flow is 1000 N/mm.

Example Calculation 2

Let's assume the following values:

Shear Force (V) = 300 N
First Moment of Area (Q) = 1500 mm⁴
Section Modulus (I) = 750 mm³

Using the formula:

\[ q = \frac{300 \times 1500}{750} = 600 \text{ N/mm} \]

The Shear Flow is 600 N/mm.