Nominal Yield Strength fy by Thickness
EN 10025-2 defines yield strength that varies by product thickness. The nominal yield strength fy is the minimum specified value at the smallest thickness bracket.
| Grade | t âÃÂä 16 mm fy | 16 < t âÃÂä 40 mm fy | 40 < t âÃÂä 63 mm fy | 63 < t âÃÂä 80 mm fy | 80 < t âÃÂä 100 mm fy | 100 < t âÃÂä 150 mm fy |
|---|---|---|---|---|---|---|
| S235 | 235 MPa | 225 MPa | 215 MPa | 215 MPa | 215 MPa | 195 MPa |
| S275 | 275 MPa | 265 MPa | 255 MPa | 245 MPa | 235 MPa | 225 MPa |
| S355 | 355 MPa | 345 MPa | 335 MPa | 325 MPa | 315 MPa | 295 MPa |
| S420 | 420 MPa | 400 MPa | 390 MPa | 370 MPa | — | — |
| S460 | 460 MPa | 440 MPa | 430 MPa | 410 MPa | — | — |
Key observation: Yield strength reduces with increasing thickness. The reduction is approximately 15-20% from the thinnest to the thickest bracket depending on grade. For S355, fy drops from 355 MPa at t âÃÂä 16 mm to 295 MPa at 100 < t âÃÂä 150 mm, a 17% reduction.
Ultimate Tensile Strength fu by Thickness
S235 Series
| Grade | t âÃÂä 40 mm fu | 40 < t âÃÂä 63 mm fu | 63 < t âÃÂä 100 mm fu | 100 < t âÃÂä 150 mm fu |
|---|---|---|---|---|
| S235 | 360-510 MPa | 360-510 MPa | 350-500 MPa | 350-500 MPa |
S275 Series
| Grade | t âÃÂä 40 mm fu | 40 < t âÃÂä 63 mm fu | 63 < t âÃÂä 100 mm fu | 100 < t âÃÂä 150 mm fu |
|---|---|---|---|---|
| S275 | 370-530 MPa | 370-530 MPa | 360-520 MPa | 350-510 MPa |
S355 Series
| Grade | t âÃÂä 40 mm fu | 40 < t âÃÂä 63 mm fu | 63 < t âÃÂä 100 mm fu | 100 < t âÃÂä 150 mm fu |
|---|---|---|---|---|
| S355 | 470-630 MPa | 470-630 MPa | 450-610 MPa | 440-600 MPa |
S420 and S460 Series
| Grade | t âÃÂä 40 mm fu | 40 < t âÃÂä 63 mm fu | 63 < t âÃÂä 100 mm fu |
|---|---|---|---|
| S420 | 520-680 MPa | 520-680 MPa | 500-660 MPa |
| S460 | 540-720 MPa | 540-720 MPa | 530-710 MPa |
fy/fu Ratio and Ductility
EN 1993-1-1 Clause 3.2 specifies ductility requirements for structural steels. The fy/fu ratio and elongation must satisfy:
| Parameter | EN 1993-1-1 Requirement | Typical S235 | Typical S275 | Typical S355 | Typical S460 |
|---|---|---|---|---|---|
| fu/fy ratio | âÃÂÃÂ¥ 1.10 (recommended) | 1.35-1.55 | 1.35-1.55 | 1.30-1.45 | 1.15-1.30 |
| Elongation at break | âÃÂÃÂ¥ 15% (recommended) | 24-28% | 22-26% | 20-24% | 17-22% |
| fy/E | — | 0.00112 | 0.00131 | 0.00169 | 0.00219 |
The fu/fy ratio is important for:
- Connections: EN 1993-1-8 requires fu for bolt bearing and weld design. Higher fu gives higher bearing resistance.
- Plastic design: A minimum fy/fu ratio ensures strain-hardening capacity for moment redistribution.
- Seismic design: Ductile frames require sufficient strain-hardening for plastic hinge formation.
Design Values per EN 1993-1-1
For EN 1993 design, use the following partial factors:
- ÃÂó_M0 = 1.00 — Cross-section resistance
- ÃÂó_M1 = 1.00 — Member buckling resistance
- ÃÂó_M2 = 1.25 — Cross-section resistance in tension (net section), connection resistance
The design yield strength is fy_d = fy / ÃÂó_M0 for most limit states. For net section fracture at bolt holes, use fu / ÃÂó_M2.
International Grade Comparisons
| European | AISC (US) | AS/NZS (Australia) | CSA G40.21 (Canada) |
|---|---|---|---|
| S235JR | A36 | Grade 250 | 260W |
| S275JR | A572 Gr 42 | Grade 300 | 300W |
| S355JR | A572 Gr 50 | Grade 350 | 350W |
| S420JR | A572 Gr 60 | Grade 400 | 400W |
| S460JR | A572 Gr 65 | — | — |
Note that A572 Grade 50 has fy = 345 MPa versus S355's 355 MPa — these are closely comparable. However, A36 (fy = 250 MPa) and S235JR (fy = 235 MPa) have a slight difference, so substitution requires a 6% area increase for equivalent axial capacity.
Worked Example — Strength Selection for Bolted Connection Plate
Problem: A tension splice connection uses S355 plate, 28 mm thick. The connection is designed per EN 1993-1-8 with M24 Grade 10.9 bolts in 26 mm clearance holes. Determine fy and fu for cross-section checks (ÃÂó_M0) and net section fracture (ÃÂó_M2).
Step 1 — Determine fy by Thickness per EN 10025-2 Table 7: Plate thickness 28 mm falls in the 16 < t âÃÂä 40 mm bracket. For S355: fy = 345 MPa (minimum guaranteed per standard). Design yield strength: fy_d = fy / ÃÂó_M0 = 345 / 1.00 = 345 MPa per EN 1993-1-1 Clause 6.2.
Step 2 — Determine fu per EN 10025-2: For S355 at t âÃÂä 40 mm: fu = 470-630 MPa. Use the minimum value (fu = 470 MPa) for conservative design. This is the value required by EN 1993-1-8 Clause 3.6 for bolt bearing resistance calculations.
Step 3 — Gross Section Tension Resistance per EN 1993-1-1 Clause 6.2.3: N_pl,Rd = A ÃÂàfy / ÃÂó_M0 For a 200 mm wide ÃÂà28 mm plate: A = 200 ÃÂà28 = 5600 mmÃÂò N_pl,Rd = 5600 ÃÂà345 / 1.00 = 1932 kN.
Step 4 — Net Section Fracture per EN 1993-1-1 Clause 6.2.2.2: For a section with 2 bolt holes (d0 = 26 + 2 = 28 mm allowance per EN 1993-1-8 Clause 3.6): A_net = (200 - 2 ÃÂà28) ÃÂà28 = 144 ÃÂà28 = 4032 mmÃÂò N_u,Rd = 0.9 ÃÂàA_net ÃÂàfu / ÃÂó_M2 = 0.9 ÃÂà4032 ÃÂà470 / 1.25 = 1365 kN.
Step 5 — fu/fy Ratio Check per EN 1993-1-1 Clause 3.2: fu/fy = 470 / 345 = 1.362 > 1.10 (minimum required). Ductility requirement satisfied.
Step 6 — Bearing Resistance per EN 1993-1-8 Table 3.4: End distance e1 = 40 mm, edge distance e2 = 35 mm, bolt pitch p1 = 70 mm. For M24 bolts in 28 mm plate: ÃÂñ_d = min(e1/3d0, p1/3d0 - 1/4, fub/fu, 1.0) = min(40/84, 70/84 - 0.25, 1000/470, 1.0) = min(0.476, 0.583, 2.13, 1.0) = 0.476. k1 = min(2.8ÃÂÃÂe2/d0 - 1.7, 1.4ÃÂÃÂp2/d0 - 1.7, 2.5) = min(2.8ÃÂÃÂ35/28 - 1.7, ..., 2.5) = min(1.80, ..., 2.5) = 1.80. F_b,Rd = k1 ÃÂàÃÂñ_d ÃÂàfu ÃÂàd ÃÂàt / ÃÂó_M2 = 1.80 ÃÂà0.476 ÃÂà470 ÃÂà24 ÃÂà28 / 1.25 = 217 kN per bolt.
Result: Gross section governs (1932 kN). Net section (1365 kN) provides adequate capacity with margin. Bearing per bolt = 217 kN.
Frequently Asked Questions
What is the yield strength of S355 steel at 50 mm thickness?
S355 steel at 50 mm thickness falls in the 40 < t âÃÂä 63 mm bracket. Per EN 10025-2, the minimum yield strength is 335 MPa at this thickness range. The tensile strength remains 470-630 MPa.
What is the difference between S235JR and S235J2 mechanical properties?
S235JR and S235J2 have identical yield strength (235 MPa for t âÃÂä 16 mm) and tensile strength (360-510 MPa for t âÃÂä 40 mm). The difference is in Charpy impact testing only: JR requires 27 J at 20ÃÂðC, J2 requires 27 J at -20ÃÂðC.
What fu value should I use for bolt bearing resistance per EN 1993-1-8?
For bolt bearing resistance per EN 1993-1-8 Clause 3.6, use the ultimate tensile strength fu of the connected plate (not the bolt). For S355 steel, use fu = 470 MPa (minimum for t âÃÂä 40 mm). Include the partial factor ÃÂó_M2 = 1.25 in the resistance calculation.
Related Pages
- European Steel Grades — Full EN 10025-2 grade classification
- European Steel Chemical Composition — EN 10025-2 chemical limits
- European Bolt Pretension — Pretension values for 8.8/10.9 bolts
- All European References
Educational reference only. Mechanical properties per EN 10025-2:2019. Design partial factors per EN 1993-1-1:2005 + A1:2014. Verify fy and fu against mill certificates per EN 10204 Type 3.1. Results are PRELIMINARY — NOT FOR CONSTRUCTION without independent verification.
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