| phi | \(\displaystyle 0.9\) | | CSA S16-19 Cl. 13.1 a) (phi = 0.90, structural steel) | 2026-09-30 |
| E | \(\displaystyle 200\ \mathrm{GPa}\) | S16 Cl. 3.2, E = 200 000 MPa | CSA S16-19 Cl. 3.2 (E = elastic modulus of steel, 200 000 MPa) | 2026-09-30 |
| d | \(\displaystyle 456\ \mathrm{mm}\) | | CISC SST 12.1, WT460x111.5, D (456 mm) | 2026-10-01 |
| b | \(\displaystyle 304\ \mathrm{mm}\) | | CISC SST 12.1, WT460x111.5, B (304 mm) | 2026-10-01 |
| t | \(\displaystyle 23.9\ \mathrm{mm}\) | | CISC SST 12.1, WT460x111.5, T (23.9 mm) | 2026-10-01 |
| w | \(\displaystyle 15.9\ \mathrm{mm}\) | | CISC SST 12.1, WT460x111.5, W (15.9 mm) | 2026-10-01 |
| A_0 | \(\displaystyle 14300\ \mathrm{mm}^{2}\) | | CISC SST 12.1, WT460x111.5, A (A_A6 = A_Th = 14300 mm^2) | 2026-10-01 |
| y_c | \(\displaystyle 122\ \mathrm{mm}\) | | CISC SST 12.1, WT460x111.5, Y (122 mm, centroid to the flange's outside face) | 2026-10-01 |
| I_x | \(\displaystyle 2.92 \times 10^{8}\ \mathrm{mm}^{4}\) | | CISC SST 12.1, WT460x111.5, Ix (292e6 mm^4) | 2026-10-01 |
| I_y | \(\displaystyle 5.61 \times 10^{7}\ \mathrm{mm}^{4}\) | | CISC SST 12.1, WT460x111.5, Iy (56.1e6 mm^4) | 2026-10-01 |
| J | \(\displaystyle 2.08 \times 10^{6}\ \mathrm{mm}^{4}\) | | CISC SST 12.1, WT460x111.5, J (2.08e6 mm^4) | 2026-10-01 |
| r_x | \(\displaystyle 143\ \mathrm{mm}\) | | CISC SST 12.1, WT460x111.5, Rx (143 mm) | 2026-10-01 |
| r_y | \(\displaystyle 62.7\ \mathrm{mm}\) | | CISC SST 12.1, WT460x111.5, Ry (62.7 mm) | 2026-10-01 |
| S_xc | \(\displaystyle 874000\ \mathrm{mm}^{3}\) | | CISC SST 12.1, WT460x111.5, Sx (874e3 mm^3 = Ix/(D - Y) = 292e6/334, at the stem tip); the S_x of AISC 360-22 Eq. F9-3 for a stem in compression | 2026-10-01 |
| lambda_x | \(\displaystyle \frac{L_{x}}{r_{x}}\) | S16 Cl. 10.4.1, L/r for a member in tension | CSA S16-19 Cl. 10.4.1 (tension: unbraced length L over the corresponding r, no K), r_x | 2026-10-01 |
| lambda_y | \(\displaystyle \frac{L_{y}}{r_{y}}\) | S16 Cl. 10.4.1, L/r for a member in tension | CSA S16-19 Cl. 10.4.1 (tension: unbraced length L over the corresponding r, no K), r_y | 2026-10-01 |
| T_r | \(\displaystyle \phi \cdot A_{0} \cdot F_{y}\) | S16 Cl. 13.2, gross section yield | CSA S16-19 Cl. 13.2 a) i) (T_r = phi A_g F_y) | 2026-09-29 |
| M_rx1 | \(\displaystyle \phi \cdot S_{\mathrm{xc}} \cdot F_{y}\) | AISC 360-22 F9-1, F9-3 and F9-4, M_p = M_y for a tee stem in compression | AISC 360-22 Eq. F9-1, F9-3 and F9-4 (M_n = M_p = M_y = F_y S_x, tee stem in compression), phi per CSA S16-19 Cl. 13.1 a) | 2026-09-30 |
| B | \(\displaystyle \left(-2.3\right) \cdot \frac{d}{L_{y}} \cdot \sqrt{\frac{I_{y}}{J}}\) | AISC 360-22 F9-12, stem in compression | AISC 360-22 Eq. F9-12 (B = -2.3 (d/L_b) sqrt(I_y/J), stem in compression, L_b = L_y) | 2026-09-30 |
| M_cr | \(\displaystyle 1.95 \cdot \frac{E}{L_{y}} \cdot \sqrt{I_{y} \cdot J} \cdot \left(B + \sqrt{1 + B^{2}}\right)\) | AISC 360-22 F9-10 | AISC 360-22 Eq. F9-10 (M_cr = 1.95 E / L_b sqrt(I_y J) (B + sqrt(1 + B^2)), L_b = L_y) | 2026-09-30 |
| M_rx2 | \(\displaystyle \phi \cdot \min\left(M_{\mathrm{cr}}, S_{\mathrm{xc}} \cdot F_{y}\right)\) | AISC 360-22 F9-13, M_n = M_cr <= M_y | AISC 360-22 Eq. F9-13 (M_n = M_cr <= M_y, tee stem), M_y = F_y S_x per F9-3, phi per CSA S16-19 Cl. 13.1 a) | 2026-09-30 |
| lambda_s | \(\displaystyle \frac{d}{w}\) | | AISC 360-22 F9.4(a) and B4.1a(d) (d/t_w, d the full depth of the tee) | 2026-09-30 |
| lambda_p | \(\displaystyle 0.84 \cdot \sqrt{\frac{E}{F_{y}}}\) | AISC 360-22 Table B4.1b case 14, stems of tees | AISC 360-22 Table B4.1b case 14 and F9.4(a)(1) (stems of tees, 0.84 sqrt(E/F_y)) | 2026-09-30 |
| lambda_r | \(\displaystyle 1.52 \cdot \sqrt{\frac{E}{F_{y}}}\) | AISC 360-22 Table B4.1b case 14, stems of tees | AISC 360-22 Table B4.1b case 14 and F9.4(a)(3) (stems of tees, 1.52 sqrt(E/F_y)) | 2026-09-30 |
| F_cr | \(\displaystyle \left(1.43 - 0.515 \cdot \lambda_{s} \cdot \sqrt{\frac{F_{y}}{E}}\right) \cdot F_{y}\) | AISC 360-22 F9-18 | AISC 360-22 Eq. F9-18 (F_cr = (1.43 - 0.515 (d/t_w) sqrt(F_y/E)) F_y) | 2026-09-30 |
| M_rx3 | \(\displaystyle \phi \cdot S_{\mathrm{xc}} \cdot F_{\mathrm{cr}}\) | AISC 360-22 F9-16 | AISC 360-22 Eq. F9-16 (M_n = F_cr S_x), phi per CSA S16-19 Cl. 13.1 a) | 2026-09-30 |
| M_rx | \(\displaystyle \min\left(M_{\mathrm{rx}1}, M_{\mathrm{rx}2}, M_{\mathrm{rx}3}\right)\) | AISC 360-22 F9, the lowest of the limit states | AISC 360-22 F9 (M_n the lowest value of the limit states) | 2026-09-30 |
| I_a | \(\displaystyle \frac{T_{f}}{T_{r}} + \frac{M_{\mathrm{fx}}}{M_{\mathrm{rx}}}\) | S16 Cl. 13.9.1 | CSA S16-19 Cl. 13.9.1 (T_f/T_r + M_fx/M_rx <= 1.0, M_fy = 0) | 2026-09-29 |
| I_b | \(\displaystyle \frac{M_{\mathrm{fx}}}{M_{\mathrm{rx}}} - \frac{T_{f} \cdot S_{\mathrm{xc}}}{M_{\mathrm{rx}} \cdot A_{0}}\) | S16 Cl. 13.9.3 b), S at the stem tip | CSA S16-19 Cl. 13.9.3 b) (M_fx/M_rx + M_fy/M_ry - T_f S_x/(M_r A) <= 1.0, class 3 form), M_fy = 0 | 2026-09-30 |
calcsheet