Single angle in compression: validation

Every formula and clause of Single angle in compression was compared by hand with CSA S16-19, AISC 360-22 and CISC SST 12.1, and every row matched, on 2026-10-02. The rows below are read from the calculation itself at its declared values, so they are the formulas the page runs today.

Formulas

NameSymbolicClauseAgainstDate
phi\(\displaystyle 0.9\)CSA S16-19 Cl. 13.1 a) (phi = 0.90, structural steel)2026-09-29
E\(\displaystyle 200\ \mathrm{GPa}\)CSA S16-19 Cl. 3 symbols (E = elastic modulus of steel, 200 000 MPa assumed)2026-10-02
G\(\displaystyle 77\ \mathrm{GPa}\)CSA S16-19 Cl. 3 symbols (G = shear modulus of steel, 77 000 MPa assumed)2026-10-02
b\(\displaystyle 76.2\ \mathrm{mm}\)CISC SST 12.1, L76x76x6.4, D (76.2 mm); S16 Cl. 11.3.1 b) full nominal leg2026-10-02
t\(\displaystyle 6.35\ \mathrm{mm}\)CISC SST 12.1, L76x76x6.4, T (6.35 mm)2026-10-02
A_0\(\displaystyle 927\ \mathrm{mm}^{2}\)CISC SST 12.1, L76x76x6.4, A_Th (927 mm^2)2026-10-02
lambda_l\(\displaystyle \frac{b}{t}\)CSA S16-19 Cl. 11.3.1 b) (b_el of a leg of an angle is the full nominal dimension) and Table 12026-10-02
lambda_3\(\displaystyle \frac{250}{\sqrt{\frac{F_{y}}{1\ \mathrm{MPa}}}}\)S16 Cl. 11, Table 1, legs of anglesCSA S16-19 Table 1, legs of angles (b_el/t <= 250/sqrt(F_y))2026-10-02
A_e\(\displaystyle 1 \cdot A_{0}\)CSA S16-19 Cl. 13.3.4 a) (A_e from reduced widths meeting Table 1; A when Table 1 is met)2026-10-02
r_x\(\displaystyle 23.6\ \mathrm{mm}\)CISC SST 12.1, L76x76x6.4, Rx (23.6 mm); S16 Cl. 13.3.2.2 r_x about geometric axis parallel to connected leg2026-10-02
KL_r\(\displaystyle 72 + \frac{0.75 \cdot L}{r_{x}}\)S16 Cl. 13.3.2.2 a)CSA S16-19 Cl. 13.3.2.2 a) and b) (72 + 0.75 L/r_x for L/r_x <= 80; 32 + 1.25 L/r_x <= 200 above)2026-10-02
lambda_c\(\displaystyle \mathrm{KL}_{r} \cdot \sqrt{\frac{F_{y}}{1.974\ \mathrm{TPa}}}\)CSA S16-19 Cl. 13.3.2.1 (lambda = sqrt(F_y/F_e), F_e = pi^2 E/(KL/r)^2)2026-10-02
f_s\(\displaystyle F_{y} \cdot \left(1 + \lambda_{c}^{2 \cdot 1.34}\right)^{\frac{-1}{1.34}}\)S16 Cl. 13.3.1, n = 1.34CSA S16-19 Cl. 13.3.1.1 and Cl. 13.3.2.1 (C_r = phi A F_y / (1 + lambda^2n)^(1/n), n = 1.34, lambda = sqrt(F_y/F_e), F_e = pi^2 E/(KL/r)^2)2026-09-29
C_r\(\displaystyle \phi \cdot A_{e} \cdot f_{s}\)CSA S16-19 Cl. 13.3.2.1 and Cl. 13.3.4 a) (C_r = phi A_e F_y/(1 + lambda^2n)^(1/n))2026-10-02

Clauses

ClauseStepsAgainstDate
S16 Cl. 11, Table 1, legs of angleslambda_3CSA S16-19 Table 1 (legs of angles, 250/sqrt(F_y))2026-10-02
S16 Cl. 13.3.2.2 a)KL_rCSA S16-19 Cl. 13.3.2.2 a) (0 <= L/r_x <= 80: KL/r = 72 + 0.75 L/r_x)2026-10-02
S16 Cl. 13.3.1, n = 1.34f_sCSA S16-19 Cl. 13.3.1.1 and Cl. 13.3.2.1 (C_r formula, n = 1.34)2026-09-29