Concrete shear friction: validation

Every formula and clause of Concrete shear friction 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
lamb\(\displaystyle 1\)CSA A23.3-24 Cl. 8.6.5 a)-c)2026-10-01
c\(\displaystyle 1\ \mathrm{MPa}\)CSA A23.3-24 Cl. 11.5.2 a)-d)2026-10-01
mu\(\displaystyle 1.4\)CSA A23.3-24 Cl. 11.5.2 a)-d)2026-10-01
phi_s\(\displaystyle 0.85\)CSA A23.3-24 Cl. 8.4.3 a)2026-10-01
v_f\(\displaystyle \frac{V_{f}}{A_{\mathrm{cv}}}\)CSA A23.3-24 Cl. 11.5.1, demand stress on the plane v_r is compared with2026-10-01
rho_v\(\displaystyle \frac{A_{\mathrm{vf}}}{A_{\mathrm{cv}}}\)A23.3 Cl. 11.5.4, Eq. 11.28CSA A23.3-24 Cl. 11.5.4, Eq. 11.282026-10-01
sigma\(\displaystyle \rho_{v} \cdot f_{y} \cdot \sin\left(\frac{\alpha \cdot \pi}{180}\right) + \frac{N}{A_{\mathrm{cv}}}\)A23.3 Cl. 11.5.4, Eq. 11.27CSA A23.3-24 Cl. 11.5.4, Eq. 11.27, N over A_cv for A_g2026-10-01
upsilon_c\(\displaystyle \lambda \cdot \phi_{c} \cdot \left(c + \mu \cdot \sigma\right)\)A23.3 Cl. 11.5.1, Eq. 11.25, cohesion and frictionCSA A23.3-24 Cl. 11.5.1, Eq. 11.25, first term2026-10-01
upsilon_allow\(\displaystyle 0.25 \cdot \phi_{c} \cdot f_{c}\)A23.3 Cl. 11.5.1, cap on the cohesion and friction termCSA A23.3-24 Cl. 11.5.1, limit below Eq. 11.252026-10-01
upsilon_s\(\displaystyle \phi_{s} \cdot \rho_{v} \cdot f_{y} \cdot \cos\left(\frac{\alpha \cdot \pi}{180}\right)\)A23.3 Cl. 11.5.1, Eq. 11.25, dowel termCSA A23.3-24 Cl. 11.5.1, Eq. 11.25, second term2026-10-01
upsilon_r\(\displaystyle \min\left(\upsilon_{c}, \upsilon_{\mathrm{allow}}\right) + \upsilon_{s}\)A23.3 Cl. 11.5.1, Eq. 11.25CSA A23.3-24 Cl. 11.5.1, Eq. 11.25 with its cap2026-10-01
shear_utilization\(\displaystyle \frac{v_{f}}{\upsilon_{r}}\)Ratio of v_f to upsilon_r, no clause2026-10-01
As_req\(\displaystyle \frac{v_{f} - \lambda \cdot \phi_{c} \cdot \left(c + \frac{\mu \cdot N}{A_{\mathrm{cv}}}\right)}{f_{y} \cdot \left(\lambda \cdot \phi_{c} \cdot \mu \cdot \sin\left(\frac{\alpha \cdot \pi}{180}\right) + \phi_{s} \cdot \cos\left(\frac{\alpha \cdot \pi}{180}\right)\right)} \cdot A_{\mathrm{cv}}\)CSA A23.3-24 Eqs. 11.25, 11.27, 11.28 solved for rho_v, uncapped2026-10-01
rebar_utilization\(\displaystyle \frac{\mathrm{As}_{\mathrm{req}}}{A_{\mathrm{vf}}}\)Ratio of As_req to A_vf, no clause2026-10-01

Clauses

ClauseStepsAgainstDate
A23.3 Cl. 11.5.4, Eq. 11.28rho_vCSA A23.3-24 Cl. 11.5.1 and 11.5.42026-10-01
A23.3 Cl. 11.5.4, Eq. 11.27sigmaCSA A23.3-24 Cl. 11.5.1 and 11.5.42026-10-01
A23.3 Cl. 11.5.1, Eq. 11.25, cohesion and frictionupsilon_cCSA A23.3-24 Cl. 11.5.1 and 11.5.42026-10-01
A23.3 Cl. 11.5.1, cap on the cohesion and friction termupsilon_allowCSA A23.3-24 Cl. 11.5.1 and 11.5.42026-10-01
A23.3 Cl. 11.5.1, Eq. 11.25, dowel termupsilon_sCSA A23.3-24 Cl. 11.5.1 and 11.5.42026-10-01
A23.3 Cl. 11.5.1, Eq. 11.25upsilon_rCSA A23.3-24 Cl. 11.5.1 and 11.5.42026-10-01