AISCAISC 360-22
Formulas

Formulas: Combined Flexure and Axial Force

PDF page 271 · AISC 360-22

Equation A-2-3

The interaction of flexure and compression shall be limited by Equations I5-1a and I5-1b, where the term cpc_{p} is determined using Equation A-2-3 and cmc_{m} is determined using Equation A-2-4:

cp=0.1750.075B/H+λ(0.3Pn/Pno)(fcFy)c_{p}=0.175-\frac{0.075}{B / H}+\lambda\left(\frac{0.3}{P_{n} / P_{n o}}\right)\left(\frac{f_{c}^{\prime}}{F_{y}}\right)

Equation A-2-4

cm=0.6+0.3(PnPno)2+0.6λ(BH)(Fy,maxFy)(fcFy)c_{m}=0.6+0.3\left(\frac{P_{n}}{P_{n o}}\right)^{2}+0.6 \lambda\left(\frac{B}{H}\right)\left(\frac{F_{y, \max }}{F_{y}}\right)\left(\frac{f_{c}^{\prime}}{F_{y}}\right)

where

  • BB \quad = flange width of rectangular cross section, in. (mm)
  • H= web depth of rectangular cross section, in. (mm) \begin{aligned} H & =\text { web depth of rectangular cross section, in. (mm) }\end{aligned}
  • Fy,max=F_{y, \max }= maximum permitted yield stress of steel =100ksi(690MPa)=100 \mathrm{ksi}(690 \mathrm{MPa})
  • Pn= nominal axial strength calculated in accordance with Section 2.1.2 kips (N) \begin{aligned} P_{n} & =\text { nominal axial strength calculated in accordance with Section } 2.1 .2 \\ & \text { kips (N) }\end{aligned}
  • Pno= nominal axial compressive strength without consideration of length ef-  fects calculated in accordance with Section 2.1.2, kips (N) \begin{aligned} P_{n o} & =\text { nominal axial compressive strength without consideration of length ef- } \\ & \text { fects calculated in accordance with Section 2.1.2, kips (N) }\end{aligned}

Found in

On this page