Question Three

$[20$ marks$]$

The pin$-$jointed truss shown in Figure $3$ has a hinge support at B and a roller support at $H.$ Three $10kN,12kN$ and $16kN$ forces are suspended at joints $A,F$ and $K$ respectively.

$($a$)$ Calculate the support reaction components at B and $H$

$($b$)$ Calculate the magnitude and sense of the member forces $AB,KI$ and $KJ$ using joint resolution

$($c$)$ Calculate the magnitude and sense of the member forces EG$,$ EH and FH using the method of sections Calculate the magnitude and sense of member force $CD$

$($d$)$ Calculate the magnitude and sense of member force CD