The pavilion shown in the photo consists of an open roof supported by two trussed frames. Each of these frames consists of members CD and DE that have a cross-sectional area of 8.08(10 ^{- 3}) m² and a moment of inertia of 45.8(10 ^{- 6}) m⁴. All the other members have a cross-sectional area of 5.35(10 ^{- 3}) m² and moment of inertia of 4.46(10 ^{- 6}) m⁴. The joints are fully welded, and the columns rest on base plates that are bolted onto a concrete foundation. The wind load acting on one side of the roof and distributed to each frame is 1.20 kN/m. The centerline geometry of the structure is shown in the figure. Establish a structural model of the frame and justify any assumptions you have made. Perform a computer analysis to determine the force at each joint. Use the results and draw the moment diagram for the horizontal member AB. As a partial check of the results, calculate the tensile force in this member assuming the frame system is pin connected and acts as a truss. Neglect the weight of the members and take E = 200 GPa.

Transcribed Image Text:

с 1.20 kN/m A 1.25 m -4 m 4 m B 2m [] 7 m