Module 2 : Theory of projections

Lecture 24 : Projections of planes

The orthographic projections of the plane, shown in figure 5(c) can be obtained be the following steps.  Draw XY and X1Y1 lines, and mark HP, VP and left PP .Draw the pentagon a”b”c”d”e” in true shape to represent the side view at any convenient distance above the XY line and left of X1Y1 line. The top and front views of the lamina appear as lines perpendicular to XY line.
Obtain the front view b’(c’)a’(d’)e’ as a line by projecting from the right view at any convenient distance from the X1Y1 line. In the front view, the rear corners D and C coincide with A and B respectively, hence d’ and c’ are indicated within brackets. The orthographic projections of the plane, shown in figure 4(c) can be obtained be the following step. Since the pentagon lamina is also perpendicular to HP, the top view also appears as a line. Project the top view from the right and front views.

D) Plane surface perpendicular  to one plane and inclined to the other two

  1. Plane inclined at Φ to VP and perpendicular to HP
  2. Draw the projections of a  triangular lamina (plane surface) placed in the first quadrant with  its surface is inclined at f to VP and perpendicular to the HP.

    Since the lamina is inclined to VP, it is also inclined to left PP at (90 - Φ).
    The triangular lamina ABC is projected onto VP, HP and left PP.
    a’b’c’ – is the front view projected on on VP.
    a”b”c” – is the right view projected on left PP.
    Since lamina is inclined to VP and PP, front and side views are not in true shape.
    Since lamina is perpendicular to HP, its top view is projected as a line acb
    Figure 6 (c) shows the multiview drawing of the lamina.

Figure 6. The projections of the triangular lamina