Determine the vertical displacement of point B and rotation of point C using double integration method. The structure is fixed supported A, the connection at B is a shear guide and there is a roller at C. E = 40000 ksi and I = 200 in^4.

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7 ft 5 ft The assembly shown above includes column AB, which has the following properties: Pinned (top and bottom) for buckling about x-axis Free at top and fixed at bottom for buckling about y-axis Circular cross-section with 8-inch diameter E = 10000 ksi Which of the following is closest to the critical buckling force of column AB? O Per = 269 kip O Per = 1080 kip O Per = 538 kip O Per = 135 kip