AISCAISC 360-22
TablesK Additional requirements for HSS and box-section connections

Table K3.1

PDF page 231 · AISC 360-22

Available Strengths of Round HSS-to-HSS Truss Connections

Connection TypeConnection Available Axial Strength
General check for T-, Y-, cross-, and K-connections with gap, when Db (tens/comp) < (D - 2t)Limit state: shear yielding (punching) Pn = 0.6FytDb (1+sinθ)/(2sin2θ) (K3-1) φ = 0.95 (LRFD) Ω = 1.58 (ASD)
T- and Y-connectionsLimit state: chord plastification Pnsinθ = Fyt2 (3.1 + 15.6β20.2Qf (K3-2) φ = 0.90 (LRFD) Ω = 1.67 (ASD)
Cross-connectionsLimit state: chord plastification Pnsinθ = Fyt2 (5.7 / (1-0.81β)) Qf (K3-3) φ = 0.90 (LRFD) Ω = 1.67 (ASD)
K-connections with gap or overlapLimit state: chord plastification (Pnsinθ)compression branch = Fyt2 [2.0 + 11.33 (Db comp / D)] QgQf (K3-4) (Pnsinθ)tension branch = (Pnsinθ)compression branch (K3-5) φ = 0.90 (LRFD) Ω = 1.67 (ASD)
Functions
Qg = γ0.2 [1 + (0.024γ1.2) / (exp((0.5g/t) - 1.33) + 1)] (K3-6)
Note that exp(x) is equal to ex, where e = 2.71828 is the base of the natural logarithm.