Question $3.[15$ points$]$

Given the following truss under the action of the loads as shown in Figure $3.$ All relevant values can be found in the figure. Indicate your sign convention and calculations to answer the following.

Figure $3.$

A$.$ Find the force components of the support reactions at $A,Y.$

B$.$ Identify the zero force members.

C$.$ Determine the internal forces in members $-LI,LK,KI$ using method of joints and state if the members are in tension or compression.

D$.$ Determine the internal forces in members $-BC,BW,W$ using method of section and state if the members are in tension or compression.