NSCP $2001$

Compression Index:

$Cc=\sqrt[\phantom{2}]{\frac{2{}^{2}E}{Fy}}$

When $\frac{KL}{r}Cc$

Use $Fa=[1-\frac{(K\frac{L}{r}{)}^2}{2C{c}^2}]\frac{Fy}{FS}$ formula $-1$

$FS=\frac{5}{3}+\frac{3}{8}[\frac{K\frac{L}{r}}{Cc}]-\frac{1}{8}[\frac{K\frac{L}{r}}{Cc}{]}^3$

When $\frac{KL}{r}>Cc$

Use $Fa=\frac{12{}^{2}E}{23(K\frac{L}{r}{)}^2}$ formula $-2$ A box column is formed by welding two channel sections at the tip of their flanges. The column has an unsupported length of $4m$ and is hinged at both ends $)=(1\mathrm{.}0.$

$b_z=90mm,t_y=12mm$

$t_z=10mm,I_x=38\mathrm{.}1106m{m}^4$

$d=250mm,I_y=2\mathrm{.}91106m{m}^4$

$x=21mm,A=4560m{m}^2$

What is the moment of inertia about the $x-$axis of the column in $m{m}^4$

A$.76\mathrm{.}2{10}^6$

C$.41\mathrm{.}8{10}^6$

B$.51\mathrm{.}3{10}^6$

D$.49\mathrm{.}2{10}^6$

What is the effective slenderness ratio of the column about the $x-$axis?

A$.43\mathrm{.}8$

C$.51\mathrm{.}8$

B$.53\mathrm{.}2$

D$.54\mathrm{.}4$

What is the allowable compressive load in the column using NSCP in $kN?$ Use $F_y=248$MPa.

A$.1128$

C$.564$

B $1101$

D$.1154$