Question

The Brinell hardness is calculated by : (Where P is load in N, D is steel ball diameter and d is indentation diameter in millimetres.)

• A. $$\frac{P}{\pi D(D-\sqrt{D^2-d^2})}$$
• B. $$\frac{P}{\pi D(\sqrt{D^2-d^2})}$$
• C. $$\frac{2P}{\pi D(D-\sqrt{D^2-d^2})}$$
• D. $$\frac{2P}{\pi D^2}$$

Answer 1

Answer:

$$\frac{2P}{\pi D(D-\sqrt{D^2-d^2})}$$

Brinell hardness is a measure of a material's resistance to plastic deformation. In the Brinell hardness test, a hardened steel ball is pressed into the surface of a test piece using a specified force. The resulting indentation diameter is measured using a microscope. The Brinell hardness number is calculated using the equation $BHN= \frac{2P} {\pi D(D-\sqrt{D^2-d^2})}$.