Vickers Hardness Calculator

Quick answer

The Vickers hardness calculator finds the HV hardness from the test force and the mean diagonal of the pyramid indentation, plus hardness in MPa and an approximate tensile strength for steels.

Mean diagonal
0.305 mm
Vickers hardness
199.3443 HV
Hardness in MPa
1,954.8994 MPa
Approximate tensile strength (steels)
658 MPa

The Vickers test presses a square diamond pyramid into the material and measures the diagonals of the dent. It works on every metal from soft aluminium to hardened steel and on thin coatings, using the same scale throughout.

How to use the Vickers Hardness Calculator

  1. Test force F
  2. Diagonal d₁
  3. Diagonal d₂

Results update as you type, every field has its own unit menu, and everything is calculated in your browser.

How it works

Enter the test force and the two measured diagonals.

Inputs explained

Field What to enter
Test force F Units: kgf, N, gf
Diagonal d₁ Units: mm, cm, m, in, µm
Diagonal d₂ Units: mm, cm, m, in, µm

What each result means

  • Mean diagonal = ([Diagonal d₁] + [Diagonal d₂])÷2×1000
  • Vickers hardness = 1.8544×[Test force F]÷[Mean diagonal]^2
  • Hardness in MPa = [Vickers hardness]×9.80665
  • Approximate tensile strength (steels) = 3.3×[Vickers hardness]

Example values

How the main result changes when Test force F changes and everything else stays at the example values above:

Test force F (kgf) Vickers hardness (HV)
5 99.6721
7.5 149.5082
10 199.3443
12.5 249.1803
15 299.0164
20 398.6885

Formula

HV = 1.8544·F / d² (F in kgf, d in mm), d = (d₁ + d₂)/2

Worked example

Inputs — Test force F: 10 kgf; Diagonal d₁: 0.3 mm; Diagonal d₂: 0.31 mm.
Results — Mean diagonal = 0.305 mm; Vickers hardness = 199.3443 HV; Hardness in MPa = 1,954.8994 MPa; Approximate tensile strength (steels) = 658 MPa.

Key terms

Microhardness
Vickers tests at forces below 1 kgf.

Frequently asked questions

What does 1.8544 come from?

2·sin(136°/2), from the pyramid's 136° face angle.

What test forces are used?

From 10 gf (micro-hardness) to 100 kgf.

How do I report it?

e.g. 200 HV10 – 200 hardness at 10 kgf.

Is the tensile strength estimate exact?

No – it is a rough rule for steels.

Sources

  1. MIT OpenCourseWare – Mechanics of Materials
  2. The Engineering ToolBox
  3. ASTM E384 – Microindentation hardness

Cite this calculator

Speedy Calculator. (2026). Vickers Hardness Calculator. Speedy Calculator. https://speedycalculator.com/calculators/physics/vickers-hardness-number/