Tuesday,April 15, 2025
1
Presented by
Dr. N. Nagaprasad
Asst. Professor/ Dept. of Mechanical Engg.,
Engineering Graphics
UNIT-III Projection of Solids
Tuesday,April 15, 2025
UNIT III PROJECTION OF SOLIDS
Projection of simple solids like prisms, pyramids, cylinder
and cone with axis is parallel, perpendicular and inclined to one of
the plane.
TEXT BOOKS:
1. Natarajan K.V.,“AText book of Engineering Graphics”, Dhanalakshmi Publishers, (2006).
2. Bhatt N.D.,“Engineering Drawing”, 46th Edition, Charotar Publishing House, (2003).
REFERENCE BOOKS:
1.Venugopal K., and Prabhu RajaV.,“Engineering Graphics”, NewAge International (P)
Limited, (2008).
2. Gopalakrishnan K.R.,“Engineering Drawing” (Vol .I&II), Subhas Publications. (1998).
3. DhananjayA.Jolhe,“Engineering Drawing with an introduction toAuto CAD”,Tata McGraw
Hill Publishing Company Limited, (2008).
2
Tuesday,April 15, 2025
Contents :
3
 Introduction of Projection of Solids
 Projection of simple solids like prisms.
 Projection of simple solids like pyramids.
 Projection of simple solids like cylinder and
 Projection of simple solids like cone
Construct an a triangular prism :
Triangular Plane
Triangular Plane
Formula
Triangular Plane outer
angle=
==180
Base side: mm
3
0
Construct a Square or cube prism :
Square or cube Plane
Square or cube Plane :
Formula
Square or cube Plane outer
angle=
==90
Base side : mm
40
Construct a Rectangular prism :
Rectangular Plane
Rectangular Plane :
Formula
Rectangular Plane outer
angle=
==90
Base side: mm
40
25
Construct a Pentagonal prism :
Pentagonal Plane
Formula
Pentagonal Plane outer
angle=
==72
Base side : mm
72
3
0
Construct a Hexagonal prism :
Hexagonal Plane
Formula
Triangular Plane outer
angle=
==60
Base side : mm
30
60
Tuesday,April 15, 2025
9
Revolution of Solids
Regular Polyhedra
1.Cylinder
2.Cone
3.Sphere
Pyramids
Prisms
1.Trianqular Prism
2.Square Prism
3.Rectandular Prism
4.Pentagonal Prism
5.Hexagonal Prism
1.Trianqular Pyramid
2.Square Pyramid
3.Rectandular Pyramid
4.Pentagonal Pyramid
5.Hexagonal Pyramid
1.Cube
Solids
Solids-A solid is a three dimensional object having length, breath and height.
Tuesday,April 15, 2025
10
1.Cube
Prisms
Tuesday,April 15, 2025
11
Tuesday,April 15, 2025
12
Tuesday,April 15, 2025
13
Tuesday,April 15, 2025
Problem on Pentagonal prism
14
 A Square prism of base side 30 mm and height 70 mm is
resting on one its base edges on HP . It is axis is inclined at
40° to H.P and parallel toVP. Draw its projections.
 Given:
 Square prism
 Base side= 30 mm
 Height= 70
 Resting one its base edges on HP
 Axis is inclined at (H.P)
400
70
30
Parts of Prism
Base
edges
Vertical
edges
Top
Edges
b
c
d
X Y
(𝒂)𝒂𝟏
c
(𝒅) 𝒅𝟏
(𝒄)𝒄𝟏
(𝒃)𝒃𝟏
𝒂′
(𝒅′
) 𝒃
′
(𝒄
′
)
𝒃𝟏
❑′
(𝒄𝟏
❑′
)
𝒂𝟏
❑′
(𝒅𝟏
❑′
)
𝒂
𝟏
❑
′
(
𝒅
𝟏
❑
′
)
𝒃𝟏
❑′
(𝒄𝟏
❑′
)
𝒂
′
(
𝒅
′
)
𝒃
′
(
𝒄
′
)
b
d
a 𝒂𝟏
𝒃𝟏
𝒄𝟏
𝒅𝟏
𝑨𝒍𝒍𝑫𝒊𝒎𝒆𝒏𝒔𝒊𝒐𝒏𝒔𝒂𝒓𝒆𝒊𝒏 𝒎𝒎
Tuesday,April 15, 2025
Sample problem for class work note
16 This Space is your convenience
This
is
simple
Position
This
is
inclined
Position
FrontView
Top view
Tuesday,April 15, 2025
Problem on Pentagonal prism
17
 A pentagonal prism of base side 30 mm and height 75mm resting
on its base corner on HP such that, the axis is inclined at 60° to
H.P and parallel toVP. Draw its projections.
 Given:
 Pentagonal prism
 Base side= 30 mm
 Height= 75
 Resting one its base Corner on HP
 Axis is inclined at (H.P)
Parts of Prism
Base
edges
Vertica
l edges
Top
Edges
b
c
d
e
X Y
60°
30
75
𝑨𝒍𝒍𝑫𝒊𝒎𝒆𝒏𝒔𝒊𝒐𝒏𝒔𝒂𝒓𝒆𝒊𝒏 𝒎𝒎
Tuesday,April 15, 2025
Hexagonal Polygon resting conditions :
19
Corner resting Edge resting Equally inclined One of the base edges
is inclined at 25
1.One of the Corner
resting on the HP
2.Two of the
Rectangular Faces or
triangular Faces parallel
toVP.
3.One of the or two of
the edges parallel toVP.
1.One of the Edges
resting on the HP
2.Two of the
Rectangular Faces or
triangular Faces
Perpendicular toVP.
3.One of the or two
of the edges
Perpendicular toVP.
1.Two of the
Rectangular Faces or
triangular Faces Equally
inclined toVP.
1.Two of Edges Equally
inclined toVP.
1.One of the base
edges is inclined at 25
Tuesday,April 15, 2025
Pentagonal Polygon resting conditions :
20
Corner resting Edge resting Equally inclined One of the base edges
is inclined at 25
1.One of the Corner
resting on the HP
1.One of the Edges
resting on the HP
1.Two of the
Rectangular Faces or
triangular Faces Equally
inclined toVP.
1.Two of Edges Equally
inclined toVP.
1.One of the base
edges is inclined at 25
Tuesday,April 15, 2025
Pentagonal Polygon resting conditions :
21
One of the edges
parallel toV.P
One of the edges
Perpendicular toVP
Tuesday,April 15, 2025
Square or Cube polygon resting on HP conditions :
22
Corner resting Edge resting Equally inclined One of the base edges
is inclined at 25
1.One of the Corner
resting on the HP
.
1.One of the Edges
resting on the HP
2. One of the orTwo
of the Rectangular
Faces or triangular
Faces Perpendicular
toVP.
3.One of the or two
of the edges
Perpendicular toVP.
1.Two of the
Rectangular Faces or
triangular Faces Equally
inclined toVP.
1.Two of Edges Equally
inclined toVP.
1.One of the base
edges is inclined at 25
Tuesday,April 15, 2025
Triangular polygon resting on HP conditions :
23
Corner resting Edge resting Equally inclined One of the base edges
is inclined at 25
1.One of the Corner
resting on the HP
.
1.One of the Edges
resting on the HP
2. One of the orTwo
of the Rectangular
Faces or triangular
Faces Perpendicular
toVP.
3.One of the or two
of the edges
Perpendicular toVP.
1.Two of the
Rectangular Faces or
triangular Faces Equally
inclined toVP.
1.Two of Edges Equally
inclined toVP.
1.One of the base
edges is inclined at 25
Tuesday,April 15, 2025
Triangular polygon resting conditions :
24
One of the edges
parallel toV.P
One of the edges
Perpendicular toVP
Tuesday,April 15, 2025
Rectangular polygon resting on HP conditions :
25
Corner resting Edge resting Equally inclined One of the base edges
is inclined at 25
1.One of the Corner
resting on the HP
.
1.One of the Edges
resting on the HP
2.One of the or two
of shortest edges
resting on the HP
1.One of the or two
of Longest edges
resting on the HP
1.Two of the
Rectangular Faces or
triangular Faces Equally
inclined toVP.
1.Two of Edges Equally
inclined toVP.
1.One of the base
edges is inclined at 25
Tuesday,April 15, 2025
26
THANKYOU
ANY QUESTIONS=?

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Unit-III Projection of Solids with animation

  • 1. Tuesday,April 15, 2025 1 Presented by Dr. N. Nagaprasad Asst. Professor/ Dept. of Mechanical Engg., Engineering Graphics UNIT-III Projection of Solids
  • 2. Tuesday,April 15, 2025 UNIT III PROJECTION OF SOLIDS Projection of simple solids like prisms, pyramids, cylinder and cone with axis is parallel, perpendicular and inclined to one of the plane. TEXT BOOKS: 1. Natarajan K.V.,“AText book of Engineering Graphics”, Dhanalakshmi Publishers, (2006). 2. Bhatt N.D.,“Engineering Drawing”, 46th Edition, Charotar Publishing House, (2003). REFERENCE BOOKS: 1.Venugopal K., and Prabhu RajaV.,“Engineering Graphics”, NewAge International (P) Limited, (2008). 2. Gopalakrishnan K.R.,“Engineering Drawing” (Vol .I&II), Subhas Publications. (1998). 3. DhananjayA.Jolhe,“Engineering Drawing with an introduction toAuto CAD”,Tata McGraw Hill Publishing Company Limited, (2008). 2
  • 3. Tuesday,April 15, 2025 Contents : 3  Introduction of Projection of Solids  Projection of simple solids like prisms.  Projection of simple solids like pyramids.  Projection of simple solids like cylinder and  Projection of simple solids like cone
  • 4. Construct an a triangular prism : Triangular Plane Triangular Plane Formula Triangular Plane outer angle= ==180 Base side: mm 3 0
  • 5. Construct a Square or cube prism : Square or cube Plane Square or cube Plane : Formula Square or cube Plane outer angle= ==90 Base side : mm 40
  • 6. Construct a Rectangular prism : Rectangular Plane Rectangular Plane : Formula Rectangular Plane outer angle= ==90 Base side: mm 40 25
  • 7. Construct a Pentagonal prism : Pentagonal Plane Formula Pentagonal Plane outer angle= ==72 Base side : mm 72 3 0
  • 8. Construct a Hexagonal prism : Hexagonal Plane Formula Triangular Plane outer angle= ==60 Base side : mm 30 60
  • 9. Tuesday,April 15, 2025 9 Revolution of Solids Regular Polyhedra 1.Cylinder 2.Cone 3.Sphere Pyramids Prisms 1.Trianqular Prism 2.Square Prism 3.Rectandular Prism 4.Pentagonal Prism 5.Hexagonal Prism 1.Trianqular Pyramid 2.Square Pyramid 3.Rectandular Pyramid 4.Pentagonal Pyramid 5.Hexagonal Pyramid 1.Cube Solids Solids-A solid is a three dimensional object having length, breath and height.
  • 14. Tuesday,April 15, 2025 Problem on Pentagonal prism 14  A Square prism of base side 30 mm and height 70 mm is resting on one its base edges on HP . It is axis is inclined at 40° to H.P and parallel toVP. Draw its projections.  Given:  Square prism  Base side= 30 mm  Height= 70  Resting one its base edges on HP  Axis is inclined at (H.P)
  • 15. 400 70 30 Parts of Prism Base edges Vertical edges Top Edges b c d X Y (𝒂)𝒂𝟏 c (𝒅) 𝒅𝟏 (𝒄)𝒄𝟏 (𝒃)𝒃𝟏 𝒂′ (𝒅′ ) 𝒃 ′ (𝒄 ′ ) 𝒃𝟏 ❑′ (𝒄𝟏 ❑′ ) 𝒂𝟏 ❑′ (𝒅𝟏 ❑′ ) 𝒂 𝟏 ❑ ′ ( 𝒅 𝟏 ❑ ′ ) 𝒃𝟏 ❑′ (𝒄𝟏 ❑′ ) 𝒂 ′ ( 𝒅 ′ ) 𝒃 ′ ( 𝒄 ′ ) b d a 𝒂𝟏 𝒃𝟏 𝒄𝟏 𝒅𝟏 𝑨𝒍𝒍𝑫𝒊𝒎𝒆𝒏𝒔𝒊𝒐𝒏𝒔𝒂𝒓𝒆𝒊𝒏 𝒎𝒎
  • 16. Tuesday,April 15, 2025 Sample problem for class work note 16 This Space is your convenience This is simple Position This is inclined Position FrontView Top view
  • 17. Tuesday,April 15, 2025 Problem on Pentagonal prism 17  A pentagonal prism of base side 30 mm and height 75mm resting on its base corner on HP such that, the axis is inclined at 60° to H.P and parallel toVP. Draw its projections.  Given:  Pentagonal prism  Base side= 30 mm  Height= 75  Resting one its base Corner on HP  Axis is inclined at (H.P) Parts of Prism Base edges Vertica l edges Top Edges b c d e
  • 19. Tuesday,April 15, 2025 Hexagonal Polygon resting conditions : 19 Corner resting Edge resting Equally inclined One of the base edges is inclined at 25 1.One of the Corner resting on the HP 2.Two of the Rectangular Faces or triangular Faces parallel toVP. 3.One of the or two of the edges parallel toVP. 1.One of the Edges resting on the HP 2.Two of the Rectangular Faces or triangular Faces Perpendicular toVP. 3.One of the or two of the edges Perpendicular toVP. 1.Two of the Rectangular Faces or triangular Faces Equally inclined toVP. 1.Two of Edges Equally inclined toVP. 1.One of the base edges is inclined at 25
  • 20. Tuesday,April 15, 2025 Pentagonal Polygon resting conditions : 20 Corner resting Edge resting Equally inclined One of the base edges is inclined at 25 1.One of the Corner resting on the HP 1.One of the Edges resting on the HP 1.Two of the Rectangular Faces or triangular Faces Equally inclined toVP. 1.Two of Edges Equally inclined toVP. 1.One of the base edges is inclined at 25
  • 21. Tuesday,April 15, 2025 Pentagonal Polygon resting conditions : 21 One of the edges parallel toV.P One of the edges Perpendicular toVP
  • 22. Tuesday,April 15, 2025 Square or Cube polygon resting on HP conditions : 22 Corner resting Edge resting Equally inclined One of the base edges is inclined at 25 1.One of the Corner resting on the HP . 1.One of the Edges resting on the HP 2. One of the orTwo of the Rectangular Faces or triangular Faces Perpendicular toVP. 3.One of the or two of the edges Perpendicular toVP. 1.Two of the Rectangular Faces or triangular Faces Equally inclined toVP. 1.Two of Edges Equally inclined toVP. 1.One of the base edges is inclined at 25
  • 23. Tuesday,April 15, 2025 Triangular polygon resting on HP conditions : 23 Corner resting Edge resting Equally inclined One of the base edges is inclined at 25 1.One of the Corner resting on the HP . 1.One of the Edges resting on the HP 2. One of the orTwo of the Rectangular Faces or triangular Faces Perpendicular toVP. 3.One of the or two of the edges Perpendicular toVP. 1.Two of the Rectangular Faces or triangular Faces Equally inclined toVP. 1.Two of Edges Equally inclined toVP. 1.One of the base edges is inclined at 25
  • 24. Tuesday,April 15, 2025 Triangular polygon resting conditions : 24 One of the edges parallel toV.P One of the edges Perpendicular toVP
  • 25. Tuesday,April 15, 2025 Rectangular polygon resting on HP conditions : 25 Corner resting Edge resting Equally inclined One of the base edges is inclined at 25 1.One of the Corner resting on the HP . 1.One of the Edges resting on the HP 2.One of the or two of shortest edges resting on the HP 1.One of the or two of Longest edges resting on the HP 1.Two of the Rectangular Faces or triangular Faces Equally inclined toVP. 1.Two of Edges Equally inclined toVP. 1.One of the base edges is inclined at 25