| N_f_min | \(\displaystyle 0.2 \cdot V_{f}\) | A23.3 Cl. 11.6.4 | A23.3-24 Cl. 11.6.4 | 2026-10-01 |
| N_f_design | \(\displaystyle \max\left(N_{f}, N_{f,\mathrm{min}}\right)\) | A23.3 Cl. 11.6.4 | A23.3-24 Cl. 11.6.4 | 2026-10-01 |
| b_p_req | \(\displaystyle \frac{V_{f}}{L_{p} \cdot 0.75 \cdot \phi_{c} \cdot {f'}_{c}}\) | A23.3 Cl. 11.4.4.1 b), 11.4.4.2 a) | A23.3-24 Cl. 11.4.4.1 b), 11.4.4.2 a) | 2026-10-01 |
| L_BD | \(\displaystyle h_{1} + h_{2} - a_{1}\) | | statics, STM node geometry; independent hand calc | 2026-10-01 |
| x_p | \(\displaystyle w_{3} + \frac{b_{p}}{2}\) | | statics, STM node geometry; independent hand calc | 2026-10-01 |
| h12 | \(\displaystyle h_{1} + \frac{h_{2} \cdot \left(w_{4} - x_{p}\right)}{w_{4}}\) | | A23.3-24 Cl. 11.6.3; geometry of the profile | 2026-10-01 |
| h_avg | \(\displaystyle \frac{h_{1} + h_{2}}{2}\) | | A23.3-24 Cl. 11.6.3 | 2026-10-01 |
| height_ratio | \(\displaystyle \frac{h_{\mathrm{avg}}}{h_{12}}\) | | A23.3-24 Cl. 11.6.3 | 2026-10-01 |
| d_v | \(\displaystyle \max\left(0.9 \cdot L_{\mathrm{BD}}, 0.72 \cdot \left(h_{1} + h_{2}\right)\right)\) | A23.3 Cl. 3.2, effective shear depth | A23.3-24 Cl. 3.2, d_v | 2026-10-01 |
| V_r | \(\displaystyle 0.25 \cdot \phi_{c} \cdot {f'}_{c} \cdot b \cdot d_{v}\) | A23.3 Cl. 11.3.3, V_r,max with V_p = 0 | A23.3-24 Cl. 11.3.3, Eq. 11.5 | 2026-10-01 |
| L_AB | \(\displaystyle w_{3} + h - a_{2}\) | | statics, STM node geometry; independent hand calc | 2026-10-01 |
| g1 | \(\displaystyle \frac{0.75 \cdot \phi_{c} \cdot {f'}_{c} \cdot b}{2}\) | A23.3 Cl. 11.4.4.1 b) | A23.3-24 Cl. 11.4.4.1 b); moment about D | 2026-10-01 |
| g2 | \(\displaystyle \left(-0.75\right) \cdot \phi_{c} \cdot {f'}_{c} \cdot b \cdot \left(h - a_{2}\right)\) | A23.3 Cl. 11.4.4.1 b) | A23.3-24 Cl. 11.4.4.1 b); moment about D | 2026-10-01 |
| g3 | \(\displaystyle N_{f,\mathrm{design}} \cdot L_{\mathrm{BD}} + V_{f} \cdot L_{\mathrm{AB}}\) | | statics, node equilibrium; independent hand calc | 2026-10-01 |
| discriminant | \(\displaystyle g_{2}^{2} - 4 \cdot g_{1} \cdot g_{3}\) | | statics, node equilibrium; independent hand calc | 2026-10-01 |
| a_node | \(\displaystyle \frac{\left(-g_{2}\right) - \sqrt{\mathrm{discriminant}}}{2 \cdot g_{1}}\) | | statics, node equilibrium; independent hand calc | 2026-10-01 |
| L_CD | \(\displaystyle h - a_{2} - \frac{a_{\mathrm{node}}}{2}\) | | statics, STM node geometry; independent hand calc | 2026-10-01 |
| theta1_rad | \(\displaystyle \arctan\left(\frac{L_{\mathrm{BD}}}{L_{\mathrm{AB}} - L_{\mathrm{CD}}}\right)\) | | statics, STM node geometry; independent hand calc | 2026-10-01 |
| theta1 | \(\displaystyle \operatorname{degrees}\left(\theta_{1,\mathrm{rad}}\right)\) | | statics, STM node geometry; independent hand calc | 2026-10-01 |
| P_AC | \(\displaystyle \frac{V_{f}}{\sin\left(\theta_{1,\mathrm{rad}}\right)}\) | | statics, node equilibrium; independent hand calc | 2026-10-01 |
| P_AB | \(\displaystyle \frac{V_{f}}{\tan\left(\theta_{1,\mathrm{rad}}\right)} + N_{f,\mathrm{design}}\) | | statics, node equilibrium; independent hand calc | 2026-10-01 |
| theta2_rad | \(\displaystyle \arctan\left(\frac{L_{\mathrm{CD}}}{L_{\mathrm{BD}}}\right)\) | | statics, STM node geometry; independent hand calc | 2026-10-01 |
| theta2 | \(\displaystyle \operatorname{degrees}\left(\theta_{2,\mathrm{rad}}\right)\) | | statics, STM node geometry; independent hand calc | 2026-10-01 |
| P_BC | \(\displaystyle \frac{P_{\mathrm{AB}}}{\sin\left(\theta_{2,\mathrm{rad}}\right)}\) | | statics, node equilibrium; independent hand calc | 2026-10-01 |
| P_BD | \(\displaystyle \frac{P_{\mathrm{AB}}}{\tan\left(\theta_{2,\mathrm{rad}}\right)}\) | | statics, node equilibrium; independent hand calc | 2026-10-01 |
| P_CD | \(\displaystyle P_{\mathrm{AB}} - P_{\mathrm{AC}} \cdot \cos\left(\theta_{1,\mathrm{rad}}\right)\) | | statics, node equilibrium; independent hand calc | 2026-10-01 |
| P_CE | \(\displaystyle V_{f} + P_{\mathrm{BC}} \cdot \cos\left(\theta_{2,\mathrm{rad}}\right)\) | | statics, node equilibrium; independent hand calc | 2026-10-01 |
| theta4 | \(\displaystyle 90 - \theta_{2}\) | | statics, STM node geometry; independent hand calc | 2026-10-01 |
| theta4_rad | \(\displaystyle \operatorname{radians}\left(\theta_{4}\right)\) | | statics, STM node geometry; independent hand calc | 2026-10-01 |
| P_DF | \(\displaystyle 1 \cdot P_{\mathrm{BD}}\) | | statics, node equilibrium; independent hand calc | 2026-10-01 |
| A_s1_req | \(\displaystyle \max\left(\frac{P_{\mathrm{AB}}}{0.85 \cdot f_{y}}, \frac{0.04 \cdot {f'}_{c} \cdot b \cdot L_{\mathrm{BD}}}{f_{y}}\right)\) | A23.3 Cl. 11.4.3.1, 11.6.6 | A23.3-24 Cl. 11.4.3.1, 8.4.3 a), 11.6.6 | 2026-10-01 |
| A_s2_req | \(\displaystyle \frac{P_{\mathrm{CD}}}{0.85 \cdot f_{y}}\) | A23.3 Cl. 11.4.3.1 | A23.3-24 Cl. 11.4.3.1, 8.4.3 a) | 2026-10-01 |
| A_s3_req | \(\displaystyle \frac{P_{\mathrm{BD}}}{0.85 \cdot f_{y}}\) | A23.3 Cl. 11.4.3.1 | A23.3-24 Cl. 11.4.3.1, 8.4.3 a) | 2026-10-01 |
| A_s4_req | \(\displaystyle \frac{P_{\mathrm{DF}}}{0.85 \cdot f_{y}}\) | A23.3 Cl. 11.4.3.1 | A23.3-24 Cl. 11.4.3.1, 8.4.3 a) | 2026-10-01 |
| eps_s_A | \(\displaystyle \frac{P_{\mathrm{AB}}}{A_{s1} \cdot E_{s}}\) | | A23.3-24 Cl. 11.4.2.3 (eps_s), 8.5.3.1 | 2026-10-01 |
| cot_theta1 | \(\displaystyle \cot\left(\theta_{1,\mathrm{rad}}\right)\) | | A23.3-24 Cl. 11.4.2.3 (theta_s) | 2026-10-01 |
| eps_1_A | \(\displaystyle \epsilon_{s,A} + \left(\epsilon_{s,A} + 0.002\right) \cdot \mathrm{cot}_{\theta 1}^{2}\) | A23.3 Cl. 11.4.2.3, Eq. 11.23 | A23.3-24 Eq. 11.23 | 2026-10-01 |
| f_cu_A | \(\displaystyle \min\left(\frac{{f'}_{c}}{0.8 + 170 \cdot \epsilon_{1,A}}, 0.85 \cdot {f'}_{c}, 0.75 \cdot {f'}_{c}\right)\) | A23.3 Eq. 11.22, Cl. 11.4.4.1 b) | A23.3-24 Eq. 11.22, Cl. 11.4.4.1 b) | 2026-10-01 |
| w_AC_A | \(\displaystyle \frac{P_{\mathrm{AC}}}{\phi_{c} \cdot f_{\mathrm{cu},A} \cdot b}\) | A23.3 Cl. 11.4.2.1 | A23.3-24 Cl. 11.4.2.1 | 2026-10-01 |
| eps_s_C | \(\displaystyle \frac{P_{\mathrm{CD}}}{A_{s2} \cdot E_{s}}\) | | A23.3-24 Cl. 11.4.2.3 (eps_s), 8.5.3.1 | 2026-10-01 |
| eps_1_C | \(\displaystyle \epsilon_{s,C} + \left(\epsilon_{s,C} + 0.002\right) \cdot \mathrm{cot}_{\theta 1}^{2}\) | A23.3 Cl. 11.4.2.3, Eq. 11.23 | A23.3-24 Eq. 11.23 | 2026-10-01 |
| f_cu_C | \(\displaystyle \min\left(\frac{{f'}_{c}}{0.8 + 170 \cdot \epsilon_{1,C}}, 0.75 \cdot {f'}_{c}\right)\) | A23.3 Eq. 11.22, Cl. 11.4.4.1 b) | A23.3-24 Eq. 11.22, Cl. 11.4.4.1 b) | 2026-10-01 |
| w_AC_C | \(\displaystyle \frac{P_{\mathrm{AC}}}{\phi_{c} \cdot f_{\mathrm{cu},C} \cdot b}\) | A23.3 Cl. 11.4.2.1 | A23.3-24 Cl. 11.4.2.1 | 2026-10-01 |
| theta_min | \(\displaystyle \min\left(\theta_{2}, 90 - \theta_{2}\right)\) | | A23.3-24 Cl. 11.4.2.3 (theta_s) | 2026-10-01 |
| theta_min_rad | \(\displaystyle \operatorname{radians}\left(\theta_{\mathrm{min}}\right)\) | | A23.3-24 Cl. 11.4.2.3 (theta_s) | 2026-10-01 |
| cot_theta_min | \(\displaystyle \cot\left(\theta_{\mathrm{min},\mathrm{rad}}\right)\) | | A23.3-24 Cl. 11.4.2.3 (theta_s) | 2026-10-01 |
| eps_s_B | \(\displaystyle \frac{P_{\mathrm{BD}}}{A_{s3,\mathrm{req}} \cdot E_{s}}\) | | A23.3-24 Cl. 11.4.2.3 (eps_s), 8.5.3.1 | 2026-10-01 |
| eps_1_B | \(\displaystyle \epsilon_{s,B} + \left(\epsilon_{s,B} + 0.002\right) \cdot \mathrm{cot}_{\theta,\mathrm{min}}^{2}\) | A23.3 Cl. 11.4.2.3, Eq. 11.23 | A23.3-24 Eq. 11.23 | 2026-10-01 |
| f_cu_B | \(\displaystyle \min\left(\frac{{f'}_{c}}{0.8 + 170 \cdot \epsilon_{1,B}}, 0.65 \cdot {f'}_{c}\right)\) | A23.3 Eq. 11.22, Cl. 11.4.4.1 c) | A23.3-24 Eq. 11.22, Cl. 11.4.4.1 c) | 2026-10-01 |
| w_BC_B | \(\displaystyle \frac{P_{\mathrm{BC}}}{\phi_{c} \cdot f_{\mathrm{cu},B} \cdot b}\) | A23.3 Cl. 11.4.2.1 | A23.3-24 Cl. 11.4.2.1 | 2026-10-01 |
| eps_s_BC | \(\displaystyle \frac{P_{\mathrm{CD}}}{A_{s2} \cdot E_{s}}\) | | A23.3-24 Cl. 11.4.2.3 (eps_s), 8.5.3.1 | 2026-10-01 |
| cot_theta4 | \(\displaystyle \cot\left(\theta_{4,\mathrm{rad}}\right)\) | | A23.3-24 Cl. 11.4.2.3 (theta_s) | 2026-10-01 |
| eps_1_BC | \(\displaystyle \epsilon_{s,\mathrm{BC}} + \left(\epsilon_{s,\mathrm{BC}} + 0.002\right) \cdot \mathrm{cot}_{\theta 4}^{2}\) | A23.3 Cl. 11.4.2.3, Eq. 11.23 | A23.3-24 Eq. 11.23 | 2026-10-01 |
| f_cu_BC | \(\displaystyle \min\left(\frac{{f'}_{c}}{0.8 + 170 \cdot \epsilon_{1,\mathrm{BC}}}, 0.75 \cdot {f'}_{c}\right)\) | A23.3 Eq. 11.22, Cl. 11.4.4.1 b) | A23.3-24 Eq. 11.22, Cl. 11.4.4.1 b) | 2026-10-01 |
| w_BC_C | \(\displaystyle \frac{P_{\mathrm{BC}}}{\phi_{c} \cdot f_{\mathrm{cu},\mathrm{BC}} \cdot b}\) | A23.3 Cl. 11.4.2.1 | A23.3-24 Cl. 11.4.2.1 | 2026-10-01 |
| f_cu_CE | \(\displaystyle \min\left(\frac{{f'}_{c}}{0.8 + 170 \cdot \epsilon_{s,C}}, 0.75 \cdot {f'}_{c}\right)\) | A23.3 Eq. 11.22, Cl. 11.4.4.1 b) | A23.3-24 Eq. 11.22 and 11.23 at theta_s = 90, Cl. 11.4.4.1 b) | 2026-10-01 |
| w_CE | \(\displaystyle \frac{P_{\mathrm{CE}}}{\phi_{c} \cdot f_{\mathrm{cu},\mathrm{CE}} \cdot b}\) | A23.3 Cl. 11.4.2.1 | A23.3-24 Cl. 11.4.2.1 | 2026-10-01 |
| w_CE_check_ratio | \(\displaystyle \frac{w_{\mathrm{CE}}}{a_{\mathrm{node}}}\) | | A23.3-24 Cl. 11.4.2.1 | 2026-10-01 |
| min_tie_area | \(\displaystyle 0.5 \cdot A_{s1}\) | A23.3 Cl. 11.6.5 | A23.3-24 Cl. 11.6.5 | 2026-10-01 |
| tie_zone_height | \(\displaystyle \frac{2}{3} \cdot L_{\mathrm{BD}}\) | A23.3 Cl. 11.6.5 | A23.3-24 Cl. 11.6.5 | 2026-10-01 |
| h_AB | \(\displaystyle \frac{P_{\mathrm{AB}}}{0.75 \cdot \phi_{c} \cdot {f'}_{c} \cdot b}\) | A23.3 Cl. 11.4.4.1 b), 11.4.4.2 b) | A23.3-24 Cl. 11.4.4.1 b), 11.4.4.2 b) | 2026-10-01 |
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