Question $1$

Figure $1$ shows a continuous beam fixed at A and has simple supports at C and E $.$ Using the static equilibrium method, determine:

a$)$ The degrees of indeterminacy for the structure.

$[1$ mark$]$

b$)$ The number of possible plastic hinge locations and list their locations.

$[3$ marks$]$

c$)$ The number of independent mechanisms.

$[1$ mark$]$

d$)$ The required value of $M_{}$ to ensure a minimum load factor $=2$ for any span.

$[10$ marks$]$

Given: $AC=CE=Mp$