Hardness testing is the fastest and most economical mechanical test in metallurgy. Because hardness and tensile strength both reflect resistance to plastic deformation, a well-established empirical relationship allows tensile strength to be estimated from hardness — avoiding destructive tensile testing for initial assessment, quality control checks, and fitness-for-service evaluations. This calculator provides UTS estimates from Vickers (HV), Brinell (HBW), and Rockwell C (HRC) using ASTM, ISO, and BS correlations.
Tensile Strength from Hardness Calculator
ASTM correlation: σ_UTS (MPa) ≈ 3.45 × HBW (valid: HBW 100–400, carbon/alloy steels)
ISO 18265 correlation: σ_UTS (MPa) ≈ 3.3 × HBW
BS 843:1939 correlation: σ_UTS (MPa) ≈ 3.54 × HBW − 99 (historical British standard)
Note: These are empirical estimates ± 10–15%. Always perform tensile testing for design-critical applications.
UTS vs Hardness Correlation Chart — Carbon and Low-Alloy Steels
| HBW | HV | HRC | UTS (MPa) — ASTM | UTS (ksi) | Typical Grade |
|---|---|---|---|---|---|
| 120 | 126 | — | 414 | 60 | S235 / A36 normalised |
| 150 | 158 | — | 518 | 75 | S355 normalised |
| 180 | 189 | — | 621 | 90 | S355J2 heavy plate |
| 220 | 231 | ~20 | 759 | 110 | S460 Q&T, 4140 tempered |
| 260 | 273 | ~26 | 897 | 130 | S690 Q&T, 4340 tempered 600°C |
| 300 | 315 | ~31 | 1,035 | 150 | 4340 tempered 500°C |
| 360 | 378 | ~38 | 1,242 | 180 | 4340 tempered 400°C; 300M |
| 400 | 420 | ~43 | 1,380 | 200 | Upper limit ASTM correlation |
When Not to Use Hardness-UTS Correlations
- Design-critical applications: Always specify actual tensile testing per ASTM A370 or ISO 6892-1 for structural components, pressure vessels, and safety-critical parts.
- Cold-worked or work-hardened materials: Work hardening increases hardness more than proportionally relative to UTS; correlations overestimate strength.
- Cast irons: Graphite morphology (flake vs nodular vs compacted) affects the hardness-strength relationship fundamentally — separate correlations are required for each type.
- Non-ferrous alloys: Aluminium, copper, titanium, and nickel alloys have different hardness-strength relationships — use alloy-specific data sheets.
References
- ASTM E140-12b Standard Hardness Conversion Tables for Metals.
- ISO 18265:2013 Metallic materials — Conversion of hardness values.
- Tabor, D., The Hardness of Metals. Oxford University Press, 1951 (reprinted 2000).
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