The column has a mass of 600 lbft and a force of 50 kips app

The column has a mass of 600 lb/ft and a force of 50 kips applied at the top. The diagonal brace has a 10 kip axial force that can be either tension or compression (note that in seismic and wind loading on buildings, braces experience both tension and compression). Assume all elements are pin-connected at their ends. Find the maximum and minimum compression force in the column at point A.

Solution

In this we required to do force balance in order to get maximum and minimum compression force in the column at point A.

compression force inbrace Fy=FA+ 10(sin(45))-50 + 0.6kips/ft(4ft) = 0

Therefore --->FA= 40.5kips

Tension force inbrace Fy=FA-10(sin(45))-50 + 0.6kips/ft(4ft) = 0

Therefore --->FA= 54.67kips