Question $1[12$ Marks$]$

A rigid jointed frame is shown in Figure $1.$ The frame is fixed to its foundations$/$supports and carries ultimate$/$collapse loads as shown. The relative plastic moment capacities for beam and columns are also shown in the figure.

Figure $1$

a$)$ Draw the collapse diagram, indicating hinge locations with corresponding moment capacities, for the:

i$.$ Beam mechanisms;

$2$

ii$.$ Sway mechanism;

$[2]$

iii. Combination mechanisms.

$[3]$