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Vidya Vikas Education Trust ®
Viday Vikas Polytechnic College
Department of Mechanical (General)
Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 1
Computer Aided Engineering Drawing (20ME12P)
Unit – 02
Part 03 - PROJECTIONS OF PLANE SURFACE
2.1 Projection of Planes.
(a) Types of planes.
(b) Projection of planes parallel to one of the reference planes.
(c) Projection of plane inclined to one reference plane and perpendicular to another.
Note: Triangle, Square / rectangle, pentagon, hexagon and circle shape should be included in
various plane problems.
PROJECTIONS OF PLANE SURFACE
1. A regular triangular lamina of side 30mm is placed with one its corner on HP such that the
surface is inclined at 40° to HP and perpendicular to VP. Draw its Top and Front views.
2. A regular square lamina of side 40mm is placed with one its side on HP such that the surface
is inclined at 30° to HP and perpendicular to VP. Draw its Top and Front views.
3. A regular pentagonal lamina of side 30mm is placed with one its side on HP such that the
surface is inclined at 45° to HP and perpendicular to VP. Draw its Top and Front views.
4. A regular hexagonal lamina of side 30mm is placed with one its corner on HP such that the
surface is inclined at 45° to HP and perpendicular to VP. Draw its Top and Front views.
5. A circular lamina of 40mm diameter lies on HP such that its surface is inclined at 40° to HP.
Draw its front and top.
6. An equilateral triangular lamina of side 40mm rests with one its sides on HP so that the
surface of the lamina is inclined at 30° to HP. The side on which the lamina rests is inclined at
45° to VP. Draw the projections of the lamina.
7. An equilateral triangular lamina of sides 30mm is resting with one of its corners on HP. The
surface of the lamina is inclined at 45° to HP and the side opposite to the corner on which the
lamina rests is inclined at 45° to VP. Draw the projections of the lamina.
8. A square lamina of 40mm side rests with one of its sides on HP so that the surface of the
lamina is inclined at 30° to HP. The side on which the lamina rests is inclined at 45° to VP. Draw
the top and front views of the square lamina in this position.
9. A square lamina of 40mm sides rests with one of its corner on HP. The diagonal passing
through this corner is inclined at 45° to HP and appears to be inclined at 45° to VP. Draw its
projections.
Vidya Vikas Education Trust ®
Viday Vikas Polytechnic College
Department of Mechanical (General)
Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 2
2.1 Projection of Planes.
A plane is a two dimensional object having length and breadth only. Its thickness is always
neglected; various shapes of plane figures are considered such as square, rectangle, circle,
pentagon, hexagon, etc.
(a) Types of planes.
(b) Positioning of Plane Surfaces
1. Perpendicular planes which have their surface Perpendicular to anyone of the
reference planes and parallel or inclined to the other reference plane.
2. Oblique planes which have their surface inclined to both the reference planes.
(c) Projection of planes parallel to one of the reference planes.
Plane Parallel to HP and Perpendicular to VP Plane Parallel to VP and Perpendicular to VP
Vidya Vikas Education Trust ®
Viday Vikas Polytechnic College
Department of Mechanical (General)
Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 3
(c) Projection of plane inclined to one reference plane and perpendicular to another.
Plane inclined to HP and Perpendicular to VP Plane inclined to VP and Perpendicular to VP
SIMPLE POSITION DRAWING RULE: - When a plane surface is parallel to HP, top view
shows its true shape & size. Therefore, draw the top view first. Project the front view from it.
Note: Triangle, Square / rectangle, pentagon, hexagon and circle shape should be included in
various plane problems.
Vidya Vikas Education Trust ®
Viday Vikas Polytechnic College
Department of Mechanical (General)
Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 4
Rules to Place Initial Position in HP
Triangle Resting with its Side on HP Triangle Resting in corner on HP
Square Resting with its Side on HP Square Resting in corner on HP
Pentagon Resting with its Side on HP Pentagon Resting in corner on HP
Hexagon Resting with its Side on HP Hexagon Resting in corner on HP
Vidya Vikas Education Trust ®
Viday Vikas Polytechnic College
Department of Mechanical (General)
Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 5
1. A regular triangular lamina of side 30mm is placed with one its corner on HP such that
the surface is inclined at 40° to HP and perpendicular to VP. Draw its Top and Front
views.
2. A regular square lamina of side 40mm is placed with one its side on HP such that the
surface is inclined at 30° to HP and perpendicular to VP. Draw its Top and Front views.
Vidya Vikas Education Trust ®
Viday Vikas Polytechnic College
Department of Mechanical (General)
Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 6
3. A regular pentagonal lamina of side 30mm is placed with one its side on HP such that the
surface is inclined at 45° to HP and perpendicular to VP. Draw its Top and Front views.
4. A regular hexagonal lamina of side 30mm is placed with one its corner on HP such that
the surface is inclined at 45° to HP and perpendicular to VP. Draw its Top and Front
views.
Vidya Vikas Education Trust ®
Viday Vikas Polytechnic College
Department of Mechanical (General)
Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 7
5. A circular lamina of 40mm diameter lies on HP such that its surface is inclined at 40° to
HP. Draw its front and top.
6. An equilateral triangular lamina of side 40mm rests with one its sides on HP so that the
surface of the lamina is inclined at 30° to HP. The side on which the lamina rests is inclined
at 45° to VP. Draw the projections of the lamina.
Vidya Vikas Education Trust ®
Viday Vikas Polytechnic College
Department of Mechanical (General)
Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 8
7. An equilateral triangular lamina of sides 30mm is resting with one of its corners on HP.
The surface of the lamina is inclined at 45° to HP and the side opposite to the corner on
which the lamina rests is inclined at 45° to VP. Draw the projections of the lamina.
8. A square lamina of 40mm side rests with one of its sides on HP so that the surface of the
lamina is inclined at 30° to HP. The side on which the lamina rests is inclined at 45° to VP.
Draw the top and front views of the square lamina in this position.
Vidya Vikas Education Trust ®
Viday Vikas Polytechnic College
Department of Mechanical (General)
Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 9
9. A square lamina of 40mm sides rests with one of its corner on HP. The diagonal passing
through this corner is inclined at 45° to HP and appears to be inclined at 45° to VP, Draw
its Projections.

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Computer Aided Engineering Drawing 20ME12P Unit – 02 Part 03 - PROJECTIONS OF PLANE SURFACE

  • 1. Vidya Vikas Education Trust ® Viday Vikas Polytechnic College Department of Mechanical (General) Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 1 Computer Aided Engineering Drawing (20ME12P) Unit – 02 Part 03 - PROJECTIONS OF PLANE SURFACE 2.1 Projection of Planes. (a) Types of planes. (b) Projection of planes parallel to one of the reference planes. (c) Projection of plane inclined to one reference plane and perpendicular to another. Note: Triangle, Square / rectangle, pentagon, hexagon and circle shape should be included in various plane problems. PROJECTIONS OF PLANE SURFACE 1. A regular triangular lamina of side 30mm is placed with one its corner on HP such that the surface is inclined at 40° to HP and perpendicular to VP. Draw its Top and Front views. 2. A regular square lamina of side 40mm is placed with one its side on HP such that the surface is inclined at 30° to HP and perpendicular to VP. Draw its Top and Front views. 3. A regular pentagonal lamina of side 30mm is placed with one its side on HP such that the surface is inclined at 45° to HP and perpendicular to VP. Draw its Top and Front views. 4. A regular hexagonal lamina of side 30mm is placed with one its corner on HP such that the surface is inclined at 45° to HP and perpendicular to VP. Draw its Top and Front views. 5. A circular lamina of 40mm diameter lies on HP such that its surface is inclined at 40° to HP. Draw its front and top. 6. An equilateral triangular lamina of side 40mm rests with one its sides on HP so that the surface of the lamina is inclined at 30° to HP. The side on which the lamina rests is inclined at 45° to VP. Draw the projections of the lamina. 7. An equilateral triangular lamina of sides 30mm is resting with one of its corners on HP. The surface of the lamina is inclined at 45° to HP and the side opposite to the corner on which the lamina rests is inclined at 45° to VP. Draw the projections of the lamina. 8. A square lamina of 40mm side rests with one of its sides on HP so that the surface of the lamina is inclined at 30° to HP. The side on which the lamina rests is inclined at 45° to VP. Draw the top and front views of the square lamina in this position. 9. A square lamina of 40mm sides rests with one of its corner on HP. The diagonal passing through this corner is inclined at 45° to HP and appears to be inclined at 45° to VP. Draw its projections.
  • 2. Vidya Vikas Education Trust ® Viday Vikas Polytechnic College Department of Mechanical (General) Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 2 2.1 Projection of Planes. A plane is a two dimensional object having length and breadth only. Its thickness is always neglected; various shapes of plane figures are considered such as square, rectangle, circle, pentagon, hexagon, etc. (a) Types of planes. (b) Positioning of Plane Surfaces 1. Perpendicular planes which have their surface Perpendicular to anyone of the reference planes and parallel or inclined to the other reference plane. 2. Oblique planes which have their surface inclined to both the reference planes. (c) Projection of planes parallel to one of the reference planes. Plane Parallel to HP and Perpendicular to VP Plane Parallel to VP and Perpendicular to VP
  • 3. Vidya Vikas Education Trust ® Viday Vikas Polytechnic College Department of Mechanical (General) Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 3 (c) Projection of plane inclined to one reference plane and perpendicular to another. Plane inclined to HP and Perpendicular to VP Plane inclined to VP and Perpendicular to VP SIMPLE POSITION DRAWING RULE: - When a plane surface is parallel to HP, top view shows its true shape & size. Therefore, draw the top view first. Project the front view from it. Note: Triangle, Square / rectangle, pentagon, hexagon and circle shape should be included in various plane problems.
  • 4. Vidya Vikas Education Trust ® Viday Vikas Polytechnic College Department of Mechanical (General) Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 4 Rules to Place Initial Position in HP Triangle Resting with its Side on HP Triangle Resting in corner on HP Square Resting with its Side on HP Square Resting in corner on HP Pentagon Resting with its Side on HP Pentagon Resting in corner on HP Hexagon Resting with its Side on HP Hexagon Resting in corner on HP
  • 5. Vidya Vikas Education Trust ® Viday Vikas Polytechnic College Department of Mechanical (General) Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 5 1. A regular triangular lamina of side 30mm is placed with one its corner on HP such that the surface is inclined at 40° to HP and perpendicular to VP. Draw its Top and Front views. 2. A regular square lamina of side 40mm is placed with one its side on HP such that the surface is inclined at 30° to HP and perpendicular to VP. Draw its Top and Front views.
  • 6. Vidya Vikas Education Trust ® Viday Vikas Polytechnic College Department of Mechanical (General) Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 6 3. A regular pentagonal lamina of side 30mm is placed with one its side on HP such that the surface is inclined at 45° to HP and perpendicular to VP. Draw its Top and Front views. 4. A regular hexagonal lamina of side 30mm is placed with one its corner on HP such that the surface is inclined at 45° to HP and perpendicular to VP. Draw its Top and Front views.
  • 7. Vidya Vikas Education Trust ® Viday Vikas Polytechnic College Department of Mechanical (General) Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 7 5. A circular lamina of 40mm diameter lies on HP such that its surface is inclined at 40° to HP. Draw its front and top. 6. An equilateral triangular lamina of side 40mm rests with one its sides on HP so that the surface of the lamina is inclined at 30° to HP. The side on which the lamina rests is inclined at 45° to VP. Draw the projections of the lamina.
  • 8. Vidya Vikas Education Trust ® Viday Vikas Polytechnic College Department of Mechanical (General) Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 8 7. An equilateral triangular lamina of sides 30mm is resting with one of its corners on HP. The surface of the lamina is inclined at 45° to HP and the side opposite to the corner on which the lamina rests is inclined at 45° to VP. Draw the projections of the lamina. 8. A square lamina of 40mm side rests with one of its sides on HP so that the surface of the lamina is inclined at 30° to HP. The side on which the lamina rests is inclined at 45° to VP. Draw the top and front views of the square lamina in this position.
  • 9. Vidya Vikas Education Trust ® Viday Vikas Polytechnic College Department of Mechanical (General) Mr. THANMAY J S Be, M-Tech, H.O.D Mechanical (General), Vidya Vikas Polytechnic College, Mysore Page 9 9. A square lamina of 40mm sides rests with one of its corner on HP. The diagonal passing through this corner is inclined at 45° to HP and appears to be inclined at 45° to VP, Draw its Projections.