Structures

The simple frame shown in Figure $1$ represents a simple one$-$storey building. The frame supports a uniform lateral load W$.$ The beam has a second area of moment, I, value twice that of the column. The frame is pin supported at A and D$.$ The beams and columns have a constant E value.

a$)$ Analysis: Using a structural analysis method $($flexibility$/$force$,$ slope deflection, moment distribution, or matrix stiffness$),$ determine the internal moments at each joint.

b$)$ Draw the Bending Moment Diagram for the frame.

c$)$ Discussion: If the building were to have an additional lateral load applied at B$,($see Figure $2),$ discuss how your analysis would change to compensate for the sway in the structure?

Figure $2$ Frame with lateral load