Problem $(2)$:

$(12$ Points$)$

For the sway frame shown below:

a$)$ Check to see if column $AB$ is classified as short or slender according to ACI criterion?

b$)$ If column is found to be slender, use ACI Moment Magnification Method to magnify the first order moments to include the slenderness effects.

In your solution assume that:

All columns are $0\mathrm{.}6m$ by $0\mathrm{.}3m$ with $f{c}^{\text{'}}=28$MPa,

All supports are fixed,

Columns self$-$weight can be neglected,

First order moment due to gravity loads $($no sway load$)$ and due to lateral loads $($sway loads$)$ are as indicated in Figure

Under sway loads, end B has zero rotation $($Shear Building Assumption$).$ Which mean $K=1$ for all columns.