The designer selects a structural member for the collar$-$tie that has the capacity as shown

above. During winter typically a roof structure in this part of the country will receive an

additional $8$ lbs$./$ft$.$ of snow loading which is treated as a horizontal$-$projected load.

Given the above data, what will be the potential internal tension within the collar$-$tie

during winter? $($show all work to justify your answer including a complete $$free$-$body$-$diagram$).$

Note $$ The dead load shown above is a sloped load that should be converted to a

horizontal projected load.