Q$1$ For the two$-$bay plane frame shown in Figure $1,$ with varying Plastic moment capacities, Determine:

$($a$)$ The Degree of Indeterminacy

$($b$)$ The number of independent mechanism required to determine the maximum collapse load, $P$

$($c$)$ The collapse loads for each mechanism

$($d$)$ The collapse load

Figure $1$ Two$-$bay Frame