Problem #$4-$ Truss Analysis $(2$ parts, $20$ total points$)$

The king post truss shown below is loaded with a $126$ kN force acting downward at point F $,$ and a $57$ kN force acting to the right at point C $.$ Determine the following:

A$.$ Draw the FBD of the truss and calculate the support reactions at point A and point E $.$ Point A is a pin support and point E is a roller support. $(10$ points$)$

B$.$ Determine the internal force of truss members $AF,BC,$ and BF using the method of sections. Indicate whether these members are in tension $($T$)$ or compression $($C$).(10$ points$)$

Answer Key

$\backslash$table$[[$Support$,\backslash$table$[[$Force$],[(kN)$