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Hardness Testing Machine Experiment: Brinell, Vickers, and Rockwell Procedure and Calculations

Aim: To determine the hardness of given metallic specimens using Brinell, Vickers, and Rockwell hardness testing methods, and to compare the results using hardness conversion charts.

Apparatus Required

  • Universal Hardness Tester (combined Brinell/Vickers/Rockwell)
  • Test specimens: mild steel, aluminium alloy, brass, cast iron (flat, polished surface)
  • Brinell microscope (for measuring indentation diameter)
  • Metallurgical microscope (for Vickers diamond indentation measurement)

Theory

Brinell Hardness (BHN/HB): A hardened steel ball (5 mm or 10 mm diameter) is pressed into the specimen surface under a standard load (3000 kgf for steel). BHN = 2P / [πD(D – √(D²–d²))], where P = load (kgf), D = ball diameter (mm), d = indentation diameter (mm). Range: soft metals to medium hardness.

Vickers Hardness (HV): A square-based diamond pyramid indenter (136° included angle) is used. HV = 1.854 × P/d², where P = load (kgf) and d = mean diagonal of indentation (mm). Versatile — same indenter for all hardness ranges. Thin materials and case-hardened surfaces.

Rockwell Hardness (HRC/HRB): Hardness measured directly as depth of indentation under a minor + major load combination. HRC (diamond cone, 150 kgf) for hard steel; HRB (1/16″ ball, 100 kgf) for softer materials. Direct reading — no microscope required.

Procedure (Brinell)

  1. Prepare the specimen surface — grind and polish to remove scale and roughness. The surface must be flat and smooth.
  2. Place specimen on the hardness tester anvil. Select the appropriate ball diameter (10 mm for steel, 5 mm for small specimens) and load (3000 kgf for steel, 500 kgf for soft metals).
  3. Apply the minor load (initial contact). Apply the major load smoothly and hold for 10–15 seconds.
  4. Remove the load. Measure the diameter of the indentation using the Brinell microscope in two perpendicular directions. Average the readings.
  5. Calculate BHN using the formula. Take 3 readings at different positions and average.

Hardness Conversion (Approximate)

MaterialBHNHVHRCUTS (MPa)
Mild Steel (annealed)120–160120–160400–550
Medium Carbon Steel (hardened)250–300260–31026–32850–1000
Tool Steel (fully hardened)600–700600–75058–64
Aluminium alloy80–12085–130270–400
Brass50–10050–100200–350

Frequently Asked Questions

What is the difference between Brinell and Rockwell hardness testing?
Brinell uses a hardened steel or carbide ball and measures the diameter of the indentation using a microscope — suitable for soft to medium-hard materials with coarse grain structure (castings, forgings). Rockwell measures the depth of indentation directly without a microscope — faster and more suitable for production testing and hard materials (HRC scale for hardened steel uses a diamond cone indenter).

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Why is Vickers hardness preferred for thin specimens?
The Vickers indentation is much smaller than Brinell (especially at lower loads), making it suitable for thin specimens, coatings, case-hardened layers, and small components where a large Brinell indentation would damage or penetrate through the material. Vickers can be used at micro-load levels (microhardness testing).

How is hardness related to tensile strength?
For steels, there is an approximate empirical relationship: UTS (MPa) ≈ 3.4 × BHN (for BHN between 100–400). This is valid for steels but not for non-ferrous metals. Hardness and UTS both measure resistance to plastic deformation, explaining their correlation.

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