Example 4.5 Determine the vertical deflection and slope of point C of the rigid-jointed plane frame shown in the Figure 4.6(a).
Solution: The M/EI and deflected shape of the frame are shown in the Figures 4.6(a) and (b), respectively. As the point A is fixed implying that . Applying first moment area theorem between points A and B ,
(looking from the left side)
(anti-clockwise direction)
Applying second moment area theorem between points B and C
The vertical displacement of point C
(downward direction)
Applying first moment area theorem between point B and C