$.$ Analysis of Compression Members.

A built up section is used as a compression member,

W$200$X$72$ section is connected to C$225$X$30$ as shown in

the figure below. The effective lengths of the columns are

$K{L}_x=9m,$ and $K{L}_y=4\mathrm{.}5m.$ Determine the

following: Use $F_y=250$MPa.

$C22530$

Properties of W$20072$

$A_w=9100m{m}^2$;$d=216mm$

$I_{w**}=76\mathrm{.}6{10}^{6}m{m}^4$;$I_w=25\mathrm{.}3{10}^{6}m{m}^4$

Properties of C$22530$ :

$A_c=3790m{m}^2$;$x_n=14\mathrm{.}8mm$;$t_{cw}=11\mathrm{.}4mm$

$I_c=25\mathrm{.}3{10}^{6}m{m}^4$;$I_{cp}=1{10}^{6}m{m}^4$

a$.$ Determine the allowable

$($ASD$)$ axial

compressive strength

b$.$ Determine the design $($LRFD$)$ axial compressive

strength.

Summary of Answers: