The formula to calculate the Brinell Hardness (HB) is:
\[ HB = \frac{2 \cdot P_{load}}{\pi \cdot D \cdot \left(D - \sqrt{D^2 - d^2}\right)} \]
Where:
Brinell Hardness uses a hard, spherical indenter which is forced into the surface of the metal to be tested.
Indentation Load is the load applied during the hardness test.
Diameter of the Indenter is the diameter of the indenter used in the Brinell hardness test.
Diameter of the Indentation is the diameter of the indentation made during the Brinell hardness test.
Let's assume the following values:
Using the formula:
\[ HB = \frac{2 \cdot 5000}{\pi \cdot 0.01 \cdot \left(0.01 - \sqrt{0.01^2 - 0.003^2}\right)} \]
Evaluating:
\[ HB \approx 691064627.570082 \]
The Brinell Hardness is approximately 691064627.570082 Pascal.
| Indentation Load (Pload) (Newtons) | Diameter of the Indenter (D) (Meters) | Diameter of the Indentation (d) (Meters) | Brinell Hardness (HB) (Pascal) |
|---|---|---|---|
| 300 | 0.01 | 0.003 | 41,463,877.654204942286 |
| 300 | 0.01 | 0.004 | 22,876,714.341067157686 |
| 300 | 0.01 | 0.005 | 14,255,384.013472476974 |
| 300 | 0.015 | 0.003 | 42,012,573.778484195471 |
| 300 | 0.015 | 0.004 | 23,441,002.337732728571 |
| 300 | 0.015 | 0.005 | 14,841,967.797667838633 |
| 300 | 0.02 | 0.003 | 42,201,227.550232946873 |
| 300 | 0.02 | 0.004 | 23,632,072.750397354364 |
| 300 | 0.02 | 0.005 | 15,036,290.597148962319 |
| 500 | 0.01 | 0.003 | 69,106,462.757008239627 |
| 500 | 0.01 | 0.004 | 38,127,857.235111929476 |
| 500 | 0.01 | 0.005 | 23,758,973.355787463486 |
| 500 | 0.015 | 0.003 | 70,020,956.297473654151 |
| 500 | 0.015 | 0.004 | 39,068,337.229554548860 |
| 500 | 0.015 | 0.005 | 24,736,612.996113065630 |
| 500 | 0.02 | 0.003 | 70,335,379.250388249755 |
| 500 | 0.02 | 0.004 | 39,386,787.917328923941 |
| 500 | 0.02 | 0.005 | 25,060,484.328581605107 |
| 1000 | 0.01 | 0.003 | 138,212,925.514016479254 |
| 1000 | 0.01 | 0.004 | 76,255,714.470223858953 |
| 1000 | 0.01 | 0.005 | 47,517,946.711574926972 |
| 1000 | 0.015 | 0.003 | 140,041,912.594947308302 |
| 1000 | 0.015 | 0.004 | 78,136,674.459109097719 |
| 1000 | 0.015 | 0.005 | 49,473,225.992226131260 |
| 1000 | 0.02 | 0.003 | 140,670,758.500776499510 |
| 1000 | 0.02 | 0.004 | 78,773,575.834657847881 |
| 1000 | 0.02 | 0.005 | 50,120,968.657163210213 |