| α = 0.0054 | ||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| - | fc' = 3000 (psi) = 21 (MPa) | fc' = 4000 (psi) = 28 (MPa) | fc' = 5000 (psi) = 35 (MPa) | fc' = 6000 (psi) = 42 (MPa) | fc' = 9000 (psi) = 63 (MPa) | fc' = 12000 (psi) = 84 (MPa) | ||||||||||||||||||
| b (in) | 6 | 8 | 10 | 12 | 6 | 8 | 10 | 12 | 6 | 8 | 10 | 12 | 6 | 8 | 10 | 12 | 6 | 8 | 10 | 12 | 6 | 8 | 10 | 12 |
| b (mm) | 150 | 200 | 250 | 300 | 150 | 200 | 250 | 300 | 150 | 200 | 250 | 300 | 150 | 200 | 250 | 300 | 150 | 200 | 250 | 300 | 150 | 200 | 250 | 300 |
| - | w = "1 kips/ft = 14.6 kN/m" | |||||||||||||||||||||||
| ρ = 0 | 7.5 | 8.2 | 8.9 | 9.4 | 7.8 | 8.6 | 9.3 | 9.9 | 8.1 | 8.9 | 9.6 | 10.2 | 8.4 | 9.2 | 9.9 | 10.6 | 9.0 | 9.9 | 10.6 | 11.3 | 9.4 | 10.4 | 11.2 | 11.9 |
| ρ = 0.5 ρb | 7.7 | 8.5 | 9.1 | 9.7 | 8.1 | 8.9 | 9.6 | 10.2 | 8.4 | 9.3 | 10.0 | 10.6 | 8.7 | 9.6 | 10.3 | 11.0 | 9.2 | 10.2 | 10.9 | 11.6 | 9.7 | 10.7 | 11.5 | 12.2 |
| ρ = ρmax = 0.634ρb | 7.8 | 8.6 | 9.2 | 9.8 | 8.2 | 9.0 | 9.7 | 10.3 | 8.5 | 9.4 | 10.1 | 10.7 | 8.7 | 9.6 | 10.4 | 11.0 | 9.3 | 10.3 | 11.0 | 11.7 | 9.8 | 10.8 | 11.6 | 12.4 |
| ρ = ρt = 0.724ρb | 7.8 | 8.6 | 9.3 | 9.8 | 8.2 | 9.1 | 9.8 | 10.4 | 8.5 | 9.4 | 10.1 | 10.8 | 8.8 | 9.7 | 10.4 | 11.1 | 9.4 | 10.3 | 11.1 | 11.8 | 9.9 | 10.9 | 11.7 | 12.4 |
| ρ = ρb | 7.9 | 8.7 | 9.4 | 10.0 | 8.4 | 9.2 | 9.9 | 10.5 | 8.7 | 9.5 | 10.3 | 10.9 | 9.0 | 9.9 | 10.6 | 11.3 | 9.4 | 10.4 | 11.2 | 11.9 | 10.0 | 11.0 | 11.8 | 12.5 |
| Avg. = | 7.7 | 8.5 | 9.2 | 9.7 | 8.1 | 9.0 | 9.7 | 10.3 | 8.5 | 9.3 | 10.0 | 10.7 | 8.7 | 9.6 | 10.3 | 11.0 | 9.3 | 10.2 | 11.0 | 11.7 | 9.8 | 10.7 | 11.6 | 12.3 |
| - | w = "2 kips/ft = 29.2 kN/m" | |||||||||||||||||||||||
| ρ = 0 | 5.9 | 6.5 | 7.0 | 7.5 | 6.2 | 6.8 | 7.4 | 7.8 | 6.5 | 7.1 | 7.7 | 8.1 | 6.7 | 7.3 | 7.9 | 8.4 | 7.1 | 7.8 | 8.4 | 9.0 | 7.5 | 8.2 | 8.9 | 9.4 |
| ρ = 0.5 ρb | 6.1 | 6.7 | 7.3 | 7.7 | 6.4 | 7.1 | 7.6 | 8.1 | 6.7 | 7.4 | 7.9 | 8.4 | 6.9 | 7.6 | 8.2 | 8.7 | 7.3 | 8.1 | 8.7 | 9.2 | 7.7 | 8.5 | 9.1 | 9.7 |
| ρ = ρmax = 0.634ρb | 6.2 | 6.8 | 7.3 | 7.8 | 6.5 | 7.2 | 7.7 | 8.2 | 6.8 | 7.4 | 8.0 | 8.5 | 6.9 | 7.6 | 8.2 | 8.7 | 7.4 | 8.1 | 8.8 | 9.3 | 7.8 | 8.6 | 9.2 | 9.8 |
| ρ = ρt = 0.724ρb | 6.2 | 6.8 | 7.3 | 7.8 | 6.5 | 7.2 | 7.7 | 8.2 | 6.8 | 7.5 | 8.0 | 8.5 | 7.0 | 7.7 | 8.3 | 8.8 | 7.4 | 8.2 | 8.8 | 9.4 | 7.8 | 8.6 | 9.3 | 9.9 |
| ρ = ρb | 6.3 | 6.9 | 7.4 | 7.9 | 6.6 | 7.3 | 7.9 | 8.4 | 6.9 | 7.6 | 8.2 | 8.7 | 7.1 | 7.8 | 8.4 | 9.0 | 7.5 | 8.3 | 8.9 | 9.4 | 7.9 | 8.7 | 9.4 | 10.0 |
| Avg. = | 6.1 | 6.8 | 7.3 | 7.7 | 6.5 | 7.1 | 7.7 | 8.1 | 6.7 | 7.4 | 8.0 | 8.5 | 6.9 | 7.6 | 8.2 | 8.7 | 7.4 | 8.1 | 8.7 | 9.3 | 7.7 | 8.5 | 9.2 | 9.8 |
| - | w = "3 kips/ft = 4.08 kN/m" | |||||||||||||||||||||||
| ρ = 0 | 5.2 | 5.7 | 6.1 | 6.5 | 5.4 | 6.0 | 6.4 | 6.8 | 5.6 | 6.2 | 6.7 | 7.1 | 5.8 | 6.4 | 6.9 | 7.3 | 6.2 | 6.8 | 7.4 | 7.8 | 6.5 | 7.2 | 7.7 | 8.2 |
| ρ = 0.5 ρb | 5.3 | 5.9 | 6.3 | 6.7 | 5.6 | 6.2 | 6.7 | 7.1 | 5.9 | 6.4 | 6.9 | 7.4 | 6.0 | 6.6 | 7.2 | 7.6 | 6.4 | 7.0 | 7.6 | 8.1 | 6.7 | 7.4 | 8.0 | 8.5 |
| ρ = ρmax = 0.634ρb | 5.4 | 5.9 | 6.4 | 6.8 | 5.7 | 6.3 | 6.7 | 7.2 | 5.9 | 6.5 | 7.0 | 7.4 | 6.1 | 6.7 | 7.2 | 7.6 | 6.5 | 7.1 | 7.7 | 8.1 | 6.8 | 7.5 | 8.1 | 8.6 |
| ρ = ρt = 0.724ρb | 5.4 | 6.0 | 6.4 | 6.8 | 5.7 | 6.3 | 6.8 | 7.2 | 5.9 | 6.5 | 7.0 | 7.5 | 6.1 | 6.7 | 7.2 | 7.7 | 6.5 | 7.1 | 7.7 | 8.2 | 6.8 | 7.5 | 8.1 | 8.6 |
| ρ = ρb | 5.5 | 6.0 | 6.5 | 6.9 | 5.8 | 6.4 | 6.9 | 7.3 | 6.0 | 6.6 | 7.1 | 7.6 | 6.2 | 6.8 | 7.4 | 7.8 | 6.6 | 7.2 | 7.8 | 8.3 | 6.9 | 7.6 | 8.2 | 8.7 |
| Avg. = | 5.4 | 5.9 | 6.4 | 6.8 | 5.6 | 6.2 | 6.7 | 7.1 | 5.9 | 6.5 | 7.0 | 7.4 | 6.0 | 6.6 | 7.2 | 7.6 | 6.4 | 7.1 | 7.6 | 8.1 | 6.8 | 7.4 | 8.0 | 8.5 |
| - | w = "4 kips/ft = 58.4 kN/m" | |||||||||||||||||||||||
| ρ = 0 | 4.7 | 5.2 | 5.6 | 5.9 | 4.9 | 5.4 | 5.9 | 6.2 | 5.1 | 5.6 | 6.1 | 6.5 | 5.3 | 5.8 | 6.3 | 6.7 | 5.6 | 6.2 | 6.7 | 7.1 | 5.9 | 6.5 | 7.0 | 7.5 |
| ρ = 0.5 ρb | 4.9 | 5.3 | 5.8 | 6.1 | 5.1 | 5.6 | 6.1 | 6.4 | 5.3 | 5.9 | 6.3 | 6.7 | 5.5 | 6.0 | 6.5 | 6.9 | 5.8 | 6.4 | 6.9 | 7.3 | 6.1 | 6.7 | 7.3 | 7.7 |
| ρ = ρmax = 0.634ρb | 4.9 | 5.4 | 5.8 | 6.2 | 5.2 | 5.7 | 6.1 | 6.5 | 5.4 | 5.9 | 6.4 | 6.8 | 5.5 | 6.1 | 6.5 | 6.9 | 5.9 | 6.5 | 7.0 | 7.4 | 6.2 | 6.8 | 7.3 | 7.8 |
| ρ = ρt = 0.724ρb | 4.9 | 5.4 | 5.8 | 6.2 | 5.2 | 5.7 | 6.2 | 6.5 | 5.4 | 5.9 | 6.4 | 6.8 | 5.5 | 6.1 | 6.6 | 7.0 | 5.9 | 6.5 | 7.0 | 7.4 | 6.2 | 6.8 | 7.4 | 7.8 |
| ρ = ρb | 5.0 | 5.5 | 5.9 | 6.3 | 5.3 | 5.8 | 6.2 | 6.6 | 5.5 | 6.0 | 6.5 | 6.9 | 5.6 | 6.2 | 6.7 | 7.1 | 6.0 | 6.6 | 7.1 | 7.5 | 6.3 | 6.9 | 7.4 | 7.9 |
| Avg. = | 4.9 | 5.4 | 5.8 | 6.1 | 5.1 | 5.6 | 6.1 | 6.5 | 5.3 | 5.9 | 6.3 | 6.7 | 5.5 | 6.0 | 6.5 | 6.9 | 5.8 | 6.4 | 6.9 | 7.4 | 6.1 | 6.8 | 7.3 | 7.7 |