AISCAISC 360-22
Formulas

Formulas: unsymmetric and other members subjected to flexure and axial force

PDF page 478 · AISC 360-22

Formula 1

fraFca+frbwFcbw+frbzFcbz1.0\left|\frac{f r a}{F_{c a}}+\frac{f r b w}{F_{c b w}}+\frac{f r b z}{F_{c b z}}\right| \leq 1.0

Formula 2

(W410×38.8,Fy=345MPa,Lb=3.1m,Cb=1)(W 410 \times 38.8, F_{y}=345 MPa, L_{b}=3.1 m, C_{b}=1)

Formula 3

fraFca+frbyFcby+frbxFcbx)1.0\left.\frac{f r a}{F_{c a}}+\frac{f r b y}{F_{c b y}}+\frac{f r b x}{F_{c b x}}\right) \leq 1.0 at tee flange

fraFca+frbyFcby+frbxFcbx)1.0\left.\frac{f r a}{F_{c a}}+\frac{f r b y}{F_{c b y}}+\frac{f r b x}{F_{c b x}}\right) \leq 1.0

Formula 4

fraFca+frbxFcbx}1.0\left.\frac{f r a}{F_{c a}}+\frac{f_{r b x}}{F_{c b x}}\right\} \leq 1.0 at tee stem

fraFca+frbxFcbx}1.0\left.\frac{f r a}{F_{c a}}+\frac{f_{r b x}}{F_{c b x}}\right\} \leq 1.0

Equation C-H2-1

fraFca+frbxFcbx1.0\left|\frac{f_{r a}}{F_{c a}}+\frac{f_{r b x}}{F_{c b x}}\right| \leq 1.0

where

FcbxF_{c b x} is the flange tension stress based on reaching ϕFy\phi F_{y} in the stem. There could be justification for using FcbxF_{c b x} equal to ϕFy\phi F_{y} in this expression.

Equation C-H2-2

This interaction relationship would hold until the interaction between the flexural compressive stress at the stem with FcbxF_{c b x} based on the local or lateral-torsional buckling limit, as increased by the axial tension, would control, resulting in the following interaction:

fraFcafrbxFcbx1.0\left|\frac{f_{r a}}{F_{c a}}-\frac{f_{r b x}}{F_{c b x}}\right| \leq 1.0

Found in

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