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




HV (Vickers)
HBW (Brinell)
Estimated UTS — ASTM (σ_UTS ≈ 3.45 × HBW)
Estimated UTS — ISO 18265 (σ_UTS ≈ 3.3 × HBW)
Estimated UTS — mid-range recommendation
UTS in ksi
Estimated yield strength (approx. 0.6–0.8 × UTS)
Confidence

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.

Engineering Stress-Strain Curve — Key Points Labelled Engineering Strain (ε) Stress (σ) σ_y (Yield Strength) UTS (Ultimate Tensile Strength) Fracture σ_y UTS E = σ/ε Elastic Plastic (work hardening) Necking 0.2% offset © metallurgyzone.com/ — Tensile Testing Guide
Figure: Engineering stress-strain curve with all key points labelled: elastic modulus E (slope), yield strength σ_y (0.2% offset), UTS (peak), necking, and fracture. © metallurgyzone.com/

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

References

📚 RELATED ARTICLES & TOOLS

→ Hardness Conversion Calculator→ Vickers to Rockwell Converter→ Tensile Testing Guide→ Stress-Strain Calculator

🛒 RECOMMENDED BOOKS & TOOLS

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