Question $2$: $($use SD procedures for all parts of this question$)$

A$.$ Draw the $($approximate$)$ interaction diagram for this column cross$-$section.

Manually calculate and plot the four key points on the interaction diagram as is

shown below $($es was covered in Lecture $8)$

a$.$ Also calculate and plot the point on the interaction diagram corresponding to

pure bending, ignoring the contribution of the compression steel to the

bending capacity of the section.

B$.$ Based on your hand$-$drawn interection diagram, find:

a$.$ The maximum velues for nominal moment$/$oxial loads which are allowable on

this cross$-$section.

b$.$ What is the maximum value of the nominal axial load which can be applied to

this cross$-$section, given a factored moment demand $=90ft-$kips?

c$.$ If the column cross$-$section is put into axial tension, how much moment

capacity is provided by the cross$-$section, given a factored axial tension load

of $100$ kips?

d$.$ What is the maximum value for the foctored exial compression lood which

may be applied, given zero moment?