Enter the force and the diameter of the indentation into the calculator to determine Vickers Hardness Number.

## Vickers Hardness Number Formula

The following formula is used to calculate Vickers Hardness Number.

VHN = 1.854 * (F/D^2)

• Where VHN is Vickers Hardness Number
• F is the force applied to the sphere (kg-f)
• D is the diameter of the indentation (mm)

To calculate Vickers Hardness Number, divide the force by the diameter of the indentation squared, then multiply by 1.854.

## What is Vickers Hardness Number?

Definition:

Vickers Hardness Number is a measure of a materials relative hardness to that of steel.

## How to calculate Vickers Hardness Number?

Example Problem:

The following example outlines how to calculate a Vickers Hardness Number.

First, determine the force applied during the hardness test. In this case, the force is 40kg-f.

Next, determine the indentation left by the sphere. For this example, the indentation is 5mm.

Finally, calculate Vickers Hardness Number using the formula above:

VHN = 1.854 * (F/D^2)

VHN = 1.854 * (40/5^2)

VHN = 2.9664