Metal Hardness Converter (Vickers ↔ Brinell ↔ Rockwell C ↔ Tensile Strength)
Converting between **metal hardness scales** is a daily task in mechanical engineering, heat treatment, QA inspection and materials science. The three dominant test methods cover different use cases: (a) **Vickers (HV)** — square diamond indenter, works on almost any metal and any hardness range, the lab reference standard; (b) **Brinell (HB)** — large hardened-steel ball indenter, suits coarse-grained castings and annealed steels but the ball deforms above HB ≈ 500; (c) **Rockwell C (HRC)** — diamond cone + 150 kgf major load, fast and ideal for production-line QA on hard steels (only valid for HV ≳ 240). This tool follows **ASTM E140-12b (Reapproved 2019)** for non-austenitic carbon and alloy steels, interpolating linearly between adjacent table rows to convert across all three scales and also reporting the **approximate ultimate tensile strength UTS (MPa)** — essential for steel-grade selection, quench-and-temper acceptance and HAZ assessment in welds. **Caveat**: HV/HB/HRC equivalence is only valid for a specific material family; non-ferrous metals (aluminium, copper, brass) and austenitic stainless steels have their own ASTM E140 tables and the present widget does not cover them.
Hardness value must be a number > 0.
Vickers HV
—
Brinell HB
—
Rockwell C
—
Approx. tensile strength
—
Formula
The tool uses the discrete ASTM E140 Table 1 plus linear interpolation: HV ↔ HB ↔ HRC ↔ UTS (MPa) A few representative rows from the table: HV HB HRC UTS 940 — 68 3110 720 — 61 2410 544 500 52 1790 446 421 45 1470 354 336 36 1160 272 258 26 900 213 203 — 700 150 143 — 490 Method: (1) Map the input to an "equivalent HV" — if the input is HB or HRC, interpolate against that column; (2) Then interpolate against the master HV table to read off HB, HRC and UTS. UTS is approximated per SAE J417 / ASTM E140; for steels UTS_MPa ≈ 3.0 × HV up to HV ≈ 400, and the tabulated curve above that.
- · **Practical division of labour between Vickers, Brinell and Rockwell**: (a) **Vickers (HV)** — 136° diamond pyramid, 1 g–100 kg load, accurate and usable on thin layers / surface-hardened cases (micro-hardness HV0.1, HV0.5). Default for labs, research and arbitration. (b) **Brinell (HB)** — usually a 10 mm hardened ball at 3 000 kgf, leaves a 2.4–6 mm impression; great for coarse-grained castings and annealed steels but cosmetically destructive and unsuited to thin parts. (c) **Rockwell C (HRC)** — diamond cone + 10 kgf preload + 150 kgf major load, fast with simple instruments — the **QA standard on the production floor**. **The nature of the conversion**: each test measures a different physical quantity (HV measures diagonal of the impression, HB its diameter, HRC the depth differential), so the conversion is an *empirical correspondence table*, not a strict physical equivalence.
- · **Edge of the table and accuracy**: (a) **HV ≥ 500 (≈ HRC 50)**: HB is no longer reported — the ball plastically deforms; switch to HV or HRC. (b) **HV ≤ 240 (≈ HRC 22)**: HRC becomes unreliable (the diamond penetrates too little); use HV, HB or HRB (Rockwell B, 1/16" ball). (c) **Accuracy**: any pair of values from the table interpolates within ±1.5 HRC or ±10 HV typically. UTS is a rough guide — ±10 % is normal — and a proper tensile test remains the only authoritative measurement.
- · **Pitfalls with the tensile-strength estimate**: the classic rule UTS_MPa ≈ 3.0 × HV is valid for annealed / normalised low- and medium-carbon steels at HV 100–400. (a) Quench-and-tempered high-strength steels at HV ≥ 400 drop the ratio to 2.7–2.9. (b) Cold-worked parts have a similar HV but ductility falls. (c) Case-hardened parts (carburised, nitrided) show a high surface HV but the bulk UTS is set by the core — do not back-calculate UTS from surface hardness. (d) Cast iron with graphite microstructure follows ASTM A370 with a different correspondence — do not use this tool for cast irons.
- · **Typical inter-method spread on a single material**: AISI 4140 quench-and-tempered at 540 °C gives HV ≈ 330, HB ≈ 314, HRC ≈ 34, UTS ≈ 1 100 MPa. Real components differ by ±5 % owing to microstructural variation, specimen preparation (surface polish) and indenter wear. **ISO 18265:2013** and ASTM E140 agree closely on the steel tables; the old **DIN 50150 (1976)** can drift ±10 HV and has been superseded in modern engineering practice.
- · **References**: (1) ASTM E140-12b (Reapproved 2019), *Standard Hardness Conversion Tables for Metals — Relationship Among Brinell, Vickers, Rockwell, Knoop, Tensile Strength*; (2) ISO 18265:2013, *Metallic materials — Conversion of hardness values*; (3) SAE J417 (2018), *Hardness Tests and Hardness Number Conversions*; (4) DIN 50150 (informative comparison); (5) ASTM E10 (Brinell), E18 (Rockwell), E92 / E384 (Vickers) hardness test methods; (6) ASM Handbook Vol. 8, *Mechanical Testing and Evaluation*, ASM International (2000).
Frequently asked
My spec calls for HRC 40–45 but I can only measure HV — what do I report?
**Direct answer**: HRC 40–45 corresponds to HV 392–446 per ASTM E140. Drop your HV reading into the tool in "HV" mode — the converted HRC tells you whether it sits in the 40–45 band. **Practical pointers around specifications**: (1) **Agree the method up front**: a purchase spec should name the *primary* hardness test (e.g. "HRC 40–45 per ASTM E18") and the *permitted conversion* (e.g. "conversion per ASTM E140 Table 1"). Disputes happen when this is left vague. (2) **Arbitration default**: if a customer or regulator disagrees, Vickers HV is treated as the reference under ASTM E140 because it is the most stable scale across material grades and hardness ranges. (3) **Reporting format**: write "Measured HV 420 → equivalent HRC ≈ 43 per ASTM E140-12b" — always declare the conversion source rather than passing off a converted value as a raw measurement. (4) **Regulated / certified work**: ASME pressure-vessel and many aerospace specs *do not* accept converted values; you must measure with the named method (send the part out if you do not have the equipment).
Why is HB not reported above HV ≈ 500?
**Because the Brinell ball indenter physically fails.** Brinell standards (ASTM E10, ISO 6506) use a 10 mm hardened-steel ball (limit ≈ HB 750) or a tungsten-carbide ball (limit ≈ HB 650). As the test material approaches HB 500 (≈ HV 540, HRC 52): (a) **the ball itself starts to deform plastically**, so the indent diameter is no longer accurate; (b) **elastic recovery dominates**, and the indent edge becomes hard to read; (c) **repeatability falls** — different operators on the same piece can disagree by 5 %+. **ASTM E140 Table 1 simply stops at HB 500** and reports nothing above. For very hard steels (quenched tool steel, bearing steel) you must use (a) HV (diamond indenter, no limit); (b) HRC (diamond cone); or (c) Knoop (elongated diamond, for thin layers). **Also note**: (1) above HB 500 you must use the tungsten-carbide ball (HBW) — the proper notation is "200 HBW 10/3000" (ball / load); (2) older literature using a steel ball is already off by HB ≈ 450; (3) for high-hardness work always start with HV and convert through ASTM E140.
Why does UTS_MPa ≈ 3.0 × HV break down on quench-and-temper high-strength steels?
**Because hardness and UTS measure two different facets of plastic resistance.** HV measures *indentation resistance* of a small region — the local plastic flow stress, set largely by dislocation density. UTS is the *maximum macroscopic stress before fracture* in a tensile test, set by the interplay of plastic flow, strain hardening, void nucleation and crack growth. **In annealed / normalised low-carbon steels** (HV 100–300, ferrite + pearlite microstructure) plastic flow dominates, and the empirical 3 × HV relation is steady within ±5 %. **In quench-and-temper HSS** (HV 400–600, tempered martensite + fine carbides) two physical effects shift the relation: (a) **lower strain-hardening capacity** — dislocation density is already saturated, so further work-hardening is small; (b) **earlier fracture** — toughness is lower, the tensile test fractures before plastic flow exhausts, so UTS / HV slides from 3.0 to about 2.7–2.9. **For untempered ultra-high-strength steels (HV > 600)** the ratio can drop to about 2.5 because fracture toughness is very low. **Practical guidance**: (1) annealed / low-carbon steels: UTS ≈ 3.0 × HV is fine; (2) Q&T HSS: apply 3.0 × HV then a ×0.92 correction; (3) tool steel, bearing steel: do not estimate — run a tensile test plus impact and K_IC.
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