Formulas: approximate second-order elastic analysis

Equation C-A-8-1

where

• $\begin{aligned} K_{2} & =\text { effective length factor in the plane of bending, calculated from a side- } \\ & \text { sway buckling analysis }\end{aligned}$

$\begin{aligned} L & =\text { story height, in. (mm) }\end{aligned}$

$P_{e \text { story }}=$ elastic buckling strength of the story, kips (N)

Formula 2

The approximate and analytical values of $C_{m}$ are plotted versus the end-moment ratio, $M_{1} / M_{2}$, for several values of $P / P_{e}$ ( $P_{e}=P_{e 1}$ with $K=1$ ).

Equation C-A-8-2

Formula 4

$\psi = \frac{\pi^{2}\delta_{o}EI}{M_{o}L^{2}} - 1$ (C-A-8-3)

Formula 5

corresponding to the member end conditions, used in calculating $P_{e l}$, is less than the laterally unbraced length of the member $(K<1.0)$.

Found in

• APPROXIMATE SECOND-ORDER ELASTIC ANALYSIS