Standard hook development length: validation

Every formula and clause of Standard hook development length was compared by hand with CSA A23.3-24, and every row matched, on 2026-10-01. The rows below are read from the calculation itself at its declared values, so they are the formulas the page runs today.

Formulas

NameSymbolicClauseAgainstDate
d_b\(\displaystyle 16\ \mathrm{mm}\)CSA metric bar sizes, nominal diameter2026-10-01
A_b\(\displaystyle 200\ \mathrm{mm}^{2}\)CSA metric bar sizes, nominal area2026-10-01
d_hook\(\displaystyle 90\ \mathrm{mm}\)CSA A23.1 Table 16, 400W or 500W, reprinted in CSA A23.3-24 Annex A2026-10-01
theta_hook\(\displaystyle 90\)CSA A23.1 Cl. 6.6.2.2 a) and b), reprinted in CSA A23.3-24 Annex A2026-10-01
k_l\(\displaystyle 1\)CSA A23.3-24 Table 12.5, bar location2026-10-01
k_c\(\displaystyle 1\)CSA A23.3-24 Table 12.5, coating2026-10-01
k_d\(\displaystyle 1\)CSA A23.3-24 Table 12.5, concrete density2026-10-01
A_hs\(\displaystyle n_{h} \cdot A_{b}\)Cl. 3.2, A_hsCSA A23.3-24 Cl. 3.2, definition of A_hs2026-10-01
k_r\(\displaystyle 0.6\)CSA A23.3-24 Table 12.5, bar arrangement, and Cl. 12.5.62026-10-01
l_hb\(\displaystyle \frac{k_{l} \cdot k_{c} \cdot k_{d} \cdot k_{r} \cdot f_{y} \cdot \left(\frac{d_{b}}{1\ \mathrm{mm}}\right)^{1.5} \cdot 1\ \mathrm{mm}}{30 \cdot \left(\frac{\min\left(f_{c}, 64\ \mathrm{MPa}\right)}{1\ \mathrm{MPa}}\right)^{0.25} \cdot 1\ \mathrm{MPa}}\)Cl. 12.5.2, with the 8 MPa cap of Cl. 12.1.2CSA A23.3-24 Cl. 12.5.2, f'c capped at 64 MPa per Cl. 12.1.22026-10-01
l_dh\(\displaystyle \max\left(l_{\mathrm{hb}} \cdot A_{s,\mathrm{ratio}}, 8 \cdot d_{b}, 150\ \mathrm{mm}\right)\)Cl. 12.5.1 and 12.5.5CSA A23.3-24 Cl. 12.5.1 and Cl. 12.5.52026-10-01

Clauses

ClauseStepsAgainstDate
Cl. 3.2, A_hsA_hsCSA A23.3-24 Clause 3, as cited2026-10-01
Cl. 12.5.2, with the 8 MPa cap of Cl. 12.1.2l_hbCSA A23.3-24 Clause 12, as cited2026-10-01
Cl. 12.5.1 and 12.5.5l_dhCSA A23.3-24 Clause 12, as cited2026-10-01