Projection of Planes
Procedure
1. A Square plane with a 70mm side has its surface parallel to and 30mm above the HP. Draw its projections, when:
(a) A side is parallel to VP
(b) A side is inclined at 30⁰ to VP and
(c) All sides are equally inclined to VP.
- Draw XY line using 3H pencil.
- Draw a square of side 70mm below XY line.
- Extend the sides ab and cd to get 30mm above XY line.
- Draw the front view a’, b’, c’, d’.
- Draw a square of side 70mm, 30 degrees inclined to VP.
- Draw the vertical projections of the inclined square abcd and also extend the projections 30mm above XY line.
- Join the front view of the inclined square a’, b’, c’, d’.
- Make another square of side 70mm, 45 degrees inclined to the VP.
- Draw the vertical projections of this square and also extend the vertical projections 30mm above XY line.
- Mark the front view as a’, b’, c’, d’.
2. A pentagonal plane with a 70mm side has an edge on the HP, the surface of the plane is inclined at 45⁰ to the HP. Draw it’s projections.
- Draw XY line using 3H pencil.
- Draw a pentagon of side 70mm below XY line.
- Draw the vertical projections of the pentagon.
- Draw the front view a’, c’, d’, e’.
- Draw the front view inclined to HP by 45 degrees.
- Mark the points a’, c’, d’, e’ using compass.
- Draw the vertical and horizontal projections and mark their intersecting points.
- Join the intersection points and name them a, b, c, d, e.
3. An equilateral triangular plane whose side is 90mm is kept in such a way that its surface is perpendicular to both HP and VP and base is parallel to the VP. Draw its projections.
- Draw the XY and X1Y1 axis perpendicular to each other.
- Draw an equilateral triangle (a’’b’’c’’) of side 90mm in the first quadrant such that it’s base is parallel to X1Y1 axis.
- Draw the vertical projections and rotate in clockwise direction to draw the top view.
- Join the projections to complete the top view (a,b,c,d).
- Draw the vertical and horizontal projections to make the front view.
- Join the intersecting to complete the front view (a’,b’,c’,d’).
4. An equilateral triangular lamina of side 90 mm is held such that its surface is perpendicular to both HP and VP. Its base edge is parallel to VP.Draw its projections.
- We must draw the top view of the lamina by assuming one of its diagonal parallel to HP.
- Draw projection to get front view.
- Tilt the projected view by 45 deg to HP and draw projectors.
- Obtain the top view .
- Again tilt the diagonal line observed in top view by 30 degree and draw the projectors to obtain the final front view.