Question $3.$ A symmetrical frame structure with two fixed ends is shown in the following figure. Two lateral concentrated loads P and $2$P acting at point B and C$,$ respectively. The value of P is provided in Table $1.($Total: $30$ marks$)$

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$1)$ Determine reaction forces at supporter $$A$$ and $$H$.$

$(8$ marks$)$

$2)$ Draw bending moment diagram for column $$ABC$.($NOT for the whole structure$).$

$(10$ marks$)$

$3)$ Calculate axial forces in members $$BE$,$CE$$ and $$DE$.$

$(12$ marks$)$