A truss system is supporting vertical dead

$(G)$ and live load $(Q)$ and a lateral wind load

$($W$)$ as shown in the figure below.

a$)$ Determine the design compressive

load for the column $AB$ for the given

nominal loads and using appropriate load

combinations.

b$)$ From a preliminary design, the

column AB was found to be $12512510EA$

grade $300$ steel. Does this section have

adequate design capacity to resist the

design load found in part $($a$)$ above.

c$)$ Using SAP$2000$ verify your manual

calculations and report on your analysis

results.