Concrete compressive strengths (f'c), rebar grades and moduli, structural steel grades (A36/A572/A992): the key properties, ACI 318-25 and AISC 360-22 material formulas, and selection guidelines in both US Customary and SI units.
Concrete strength in US practice is specified as the 28-day cylinder compressive strength f'c, measured on a 6×12 in (150×300 mm) standard cylinder. All ACI 318 design formulas are based on f'c.
λ reduces the tensile strength contribution of concrete in shear, development length, and torsion formulas when lightweight aggregate is used.
| Concrete Type | Unit Weight wc | λ |
|---|---|---|
| Normalweight | ≥ 135 pcf (2,160 kg/m³) | 1.00 |
| Sand-lightweight (sanded) | ~115 pcf (1,840 kg/m³) | 0.85 |
| All-lightweight (unsanded) | ~90–105 pcf (1,440–1,680 kg/m³) | 0.75 |
Linear interpolation is permitted based on the volumetric fraction of normalweight sand replaced (§19.2.4.2). Alternatively, λ may be determined from split-cylinder test results (§19.2.4.3):
fct = average splitting tensile strength from ASTM C496 tests.
| f'c (psi) | f'c (MPa) | Ec (ksi) | Ec (GPa) | Common Use |
|---|---|---|---|---|
| 3,000 | 20.7 | 3,122 | 21.5 | Slabs, footings |
| 4,000 | 27.6 | 3,605 | 24.9 | Beams, columns |
| 5,000 | 34.5 | 4,031 | 27.8 | Moderate columns |
| 6,000 | 41.4 | 4,415 | 30.4 | High-rise columns |
| 8,000 | 55.2 | 5,098 | 35.2 | Prestressed, special |
| 10,000 | 68.9 | 5,700 | 39.3 | HSC columns |
ASTM A615 (carbon steel) and ASTM A706 (low-alloy, weldable, seismic) are the two primary rebar specifications. The grade number equals the minimum yield strength in ksi (US) or MPa (SI).
| Grade | fy (ksi) | fy (MPa) | fu (ksi) | fu (MPa) | Es (ksi / GPa) | Use |
|---|---|---|---|---|---|---|
| Grade 40 (A615) | 40 | 276 | 60 | 414 | 29,000 / 200 | Light slabs (rare) |
| Grade 60 (A615) | 60 | 414 | 90 | 621 | 29,000 / 200 | Most RC design |
| Grade 60 (A706) | 60 | 414 | 80 | 552 | 29,000 / 200 | Seismic zones (required) |
| Grade 80 (A615) | 80 | 552 | 105 | 724 | 29,000 / 200 | High-rise columns |
| Grade 100 (A615) | 100 | 690 | 125 | 862 | 29,000 / 200 | ACI 318-19+ large columns |
| US Bar # | Diameter (in) | Diameter (mm) | Area (in²) | Area (mm²) |
|---|---|---|---|---|
| #3 | 0.375 | 9.5 | 0.11 | 71 |
| #4 | 0.500 | 12.7 | 0.20 | 129 |
| #5 | 0.625 | 15.9 | 0.31 | 200 |
| #6 | 0.750 | 19.1 | 0.44 | 284 |
| #7 | 0.875 | 22.2 | 0.60 | 387 |
| #8 | 1.000 | 25.4 | 0.79 | 510 |
| #10 | 1.270 | 32.3 | 1.27 | 819 |
| #11 | 1.410 | 35.8 | 1.56 | 1006 |
AISC 360-22 specifies material requirements by reference to ASTM standards. The three most common grades cover general shapes, plates, and wide-flange sections respectively.
A992 adds requirements that A572 does not:
AISC 341-22 §A3.1 requires A992 (or equivalent) for wide-flange shapes in special moment frames (SMF) and intermediate moment frames (IMF).
| ASTM Grade | Fy (ksi / MPa) | Fu (ksi / MPa) | Typical Products |
|---|---|---|---|
| A500 Gr.B | 46 / 317 | 58 / 400 | HSS (round) |
| A500 Gr.C | 50 / 345 | 62 / 427 | HSS (rectangular/square) |
| A1085 | 50 / 345 | 65 / 450 | HSS seismic (tight tolerances) |
| A529 Gr.50 | 50 / 345 | 70–100 / 483–690 | Structural shapes, plates |
| A514 Gr.B | 100 / 690 | 110–130 / 758–895 | HPS plates |
AISC 341-22 §A3.2 — for capacity design in seismic systems, the expected (probable) strength of yielding elements uses amplified values Ry·Fy and Rt·Fu rather than nominal values, to ensure capacity-protected elements (columns, connections) remain elastic.
| ASTM Grade | Ry (yield) | Rt (ultimate) | Application |
|---|---|---|---|
| A992 / A572 Gr.50 | 1.1 | 1.1 | W-shapes (SMF beams, columns) |
| A36 | 1.5 | 1.2 | Plates, angles (avoid in seismic — high Ry) |
| A500 Gr.B/C / A1085 | 1.3 | 1.3 | HSS braces (SCBF, BRBF) |
| A572 Gr.42 | 1.3 | 1.0 | Plates |
Used for: Mpe = Ry·Fy·Zx (expected plastic moment in SMF beams), Ry·Fy·Ag (expected yield force in SCBF/BRBF braces), and Rt·Fu·An (expected rupture force for connection design).
| Property | Concrete (f'c=4 ksi) | Rebar (Gr.60) | Steel (A992) |
|---|---|---|---|
| Design strength (US) | f'c = 4,000 psi | fy = 60,000 psi | Fy = 50,000 psi |
| Design strength (SI) | f'c = 27.6 MPa | fy = 414 MPa | Fy = 345 MPa |
| Elastic modulus (US) | Ec = 3,605 ksi | Es = 29,000 ksi | E = 29,000 ksi |
| Elastic modulus (SI) | Ec = 24.9 GPa | Es = 200 GPa | E = 200 GPa |
| Modular ratio n = Es/Ec | ≈ 8 (f'c=4 ksi) — used in transformed section analysis | ||
| Unit weight (US) | 145 pcf | 490 pcf | 490 pcf |
| Unit weight (SI) | 2,320 kg/m³ | 7,850 kg/m³ | 7,850 kg/m³ |
| Thermal expansion | 5.5 μ/°F (9.9 μ/°C) | 6.5 μ/°F (11.7 μ/°C) | 6.5 μ/°F (11.7 μ/°C) |
ACI 318-25 §19.3.1 requires that concrete be designed for the most severe exposure class anticipated. Exposure classes are assigned separately for each of four exposure categories; the most demanding requirement for any assigned class governs the mix design.
| Category | Protects against… | Classes |
|---|---|---|
| F — Freezing & Thawing | Freeze-thaw cycling damage, deicing chemicals | F0, F1, F2, F3 |
| S — Sulfate | Sulfate attack from soil or water | S0, S1, S2, S3 |
| W — Water Contact | Permeability control for below-grade and water-retaining structures | W0, W1, W2 |
| C — Corrosion | Chloride-induced reinforcement corrosion | C0, C1, C2 |
| Class | Condition | Min f'c (psi) | Min f'c (MPa) | Max w/cm |
|---|---|---|---|---|
| F0 | Not exposed to freezing/thawing or deicing chemicals | 2,500 | 17 | — |
| F1 | Moderate exposure: concrete exposed to freeze-thaw in moist condition or occasional deicing chemicals | 3,500 | 24 | 0.55 |
| F2 | Severe exposure: frequent freeze-thaw cycles while moist or in contact with deicing chemicals | 4,500 | 31 | 0.45 |
| F3 | Very severe: continuously wet and exposed to deicing chemicals (parking decks, bridge decks) | 4,500 | 31 | 0.40 |
Air entrainment required for F1–F3. Total air content 4.5–7.5% depending on maximum aggregate size (ACI 318-25 Table 19.3.3).
| Class | Soil SO₄ (% by wt) | Water SO₄ (ppm) | Min f'c (psi) | Min f'c (MPa) | Max w/cm | Cement |
|---|---|---|---|---|---|---|
| S0 | < 0.10 | < 150 | 2,500 | 17 | — | No restriction |
| S1 | 0.10–0.20 | 150–1,500 | 2,500 | 17 | 0.50 | Type II / MS or pozzolan |
| S2 | 0.20–2.0 | 1,500–10,000 | 4,500 | 31 | 0.45 | Type V / HS |
| S3 | > 2.0 | > 10,000 | 4,500 | 31 | 0.45 | Type V + pozzolan or slag |
| Class | Condition | Min f'c (psi) | Min f'c (MPa) | Max w/cm |
|---|---|---|---|---|
| W0 | Concrete dry in service; no contact with water | 2,500 | 17 | — |
| W1 | Concrete in contact with water; low permeability not required | 2,500 | 17 | — |
| W2 | Concrete in contact with water; low permeability required (below-grade walls, cisterns, tanks) | 4,500 | 31 | 0.45 |
| Class | Condition | Min f'c (psi) | Min f'c (MPa) | Max w/cm |
|---|---|---|---|---|
| C0 | Concrete dry or protected from moisture | 2,500 | 17 | — |
| C1 | Concrete exposed to moisture but no external chloride source | 2,500 | 17 | — |
| C2 | Concrete exposed to moisture plus external chlorides — parking structures, bridge decks, marine elements | 5,000 | 35 | 0.40 |
| Structure / Location | Likely Exposure Classes | Governing Min f'c | Max w/cm | Min Cover (in / mm) |
|---|---|---|---|---|
| Interior slab, dry office | F0, S0, W0, C0 | 2,500 psi / 17 MPa | — | ¾ in / 20 mm |
| Exterior slab, northern climate (deicing) | F3, C1 | 4,500 psi / 31 MPa | 0.40 | 1½ in / 38 mm |
| Parking garage deck | F2–F3, C2 | 5,000 psi / 35 MPa | 0.40 | 1½–2 in / 38–50 mm |
| Below-grade foundation wall (moderate sulfate) | S1, W2 | 4,500 psi / 31 MPa | 0.45 | 3 in / 75 mm (against earth) |
| Marine pile (tidal zone) | F1, S2, C2 | 5,000 psi / 35 MPa | 0.40 | 2–3 in / 50–75 mm |
| Water tank / cistern | W2, C1 | 4,500 psi / 31 MPa | 0.45 | 1½–2 in / 38–50 mm |
Cover values from ACI 318-25 §20.6.1. "Against earth" = cast directly against soil. Always use the most demanding class when multiple exposures apply simultaneously.