BE OU FirstYear EnggGraph May June 12

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QP.1Engineering Graphics

WARNING : Xerox/Photocopying of this book is a CRIMINAL act. Anyone found guilty is LIABLE to face LEGAL proceedings.

Code No. : 5008/M

FACULTY OF ENGINEERING AND INFORMATICS

B.E. I Year Examination

May/June - 2012

ENGINEERING GRAPHICS

( Common to All Branches )

Time: 3 Hours] [Max. Marks: 100

Answer allquestions from Part-A

Answer any fivequestions from Part-B

- - -

PART-A ( Marks : 35 )

1. Fill in the blanks with the appropriate word:

(i) Continuous thin line with zig zag is used for ___________.

(ii) Dotted line is used for ______________. [2]

2. Differentiate between Vernier scale and plain scale. [2]

3. Draw the projections of a straight line AB of 60 mm length for the following positions: [5]

(i) Parallel to and 30 mm above H.P and on V.P

(ii) Inclined to horizontal plane at 35 and pt A in front of V.P at 10 mm and 20 mm above H.P [5]

4. Draw the projections of a circle of dia. 50 mm, resting on one of its ends of the diameter on H.P [4]

5. Define polyhedra, prism and pyramid. [3]

6. Differentiate between section, sectional top view and sectional front view. [3]

7. A cone of height 60 mm and base radius 40 mm, has the development of its lateral surface as a sector of circle.

What is the radius of the sector and its angle? [4]

8. What are the two methods adopted for drawing isometric views? Explain any one method. [4]

9. Give the various applications of intersection of surfaces. [4]

10. Construct an isometric scale to measure 15 cms. [4]

PART-B ( Marks : 65 )

11. (a) On a building plan 10 cm long represents a distance of 5 m. Construct a diagonal scale for the plan to read upto

6 m, showing meters, decimeter, centimeter. Indicate on your scale the length 4.76 m, 5.57 m, 3.24 m. [6]

(b) Two points A and B are 100 mm apart. A point C is 75 mm from A and 60 mm from B. Draw an ellipse

passing through A, B and C. [7]

12. An equilateral triangular pyramid of base side 40 mm and axis height 65 mm rests in H.P on one of its base sides.

Draw its projections if the axis makes angles of 25 and 40 with H.P and V.P respectively. [13]


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May/June-2012 (With Solutions)QP.2


13. (a) One end A of a straight line AB is 20 mm above H.P and 50 mm before V.P. The other end B is 70 mm above

H.P and 25 mm before V.P. The distance between the end projectors of the line is 60 mm. Draw the projections

of the line and find the true length, true inclinations with H.P and V.P and the traces of the line. [6]

(b) A regular hexagonal lamina of 20 mm side, rests on one of its sides on H.P. It is parallel to and 10 mm away

from V.P and it is in first quadrant. Draw the projections. [7]

14. A cylinder of base diameter 40 mm and axis height 70 mm is resting in H.P on one of its generators with the axis

parallel to both H.P and V.P. It is cut by a section plane that is perpendicular to H.P and inclined at 45 to V.P.

Draw the sectional view and true shape of the section if the section plane bisects the axis. [13]

15. A sphere of radius 20 mm is kept centrally on the top face of a square prism of base 40 mm side and height 30

mm. The combination is placed on the top of a cylinder of 70 mm dia. and height 40 mm. All the three solids

have the common vertical axis. Draw the isometric projection of the combined solid. [13]

16. A pentagonal pyramid of base 30 mm side and height 50 mm, stands with its base on H.P such that an edge of

the base is parallel to V.P. It is cut by a plane perpendicular to V.P inclined at 45 to H.P and passing through a

point on the axis, 30 mm above the base. Draw the sectional top view and development of the lateral surface of

the truncated solid. [13]

17. A vertical cylinder of 60 mm dia. is penetrated by a horizontal cylinder of 40 mm dia. The axis of the penetrating

cylinder is parallel to V.P and 6 mm in front of the axis of the vertical cylinder. Draw the projections and show

the curves of intersection. [13]


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SOLUTIONS TO MAY/JUNE-2012, QP

PART-A ( Marks : 35 )

Q1. Fill in the blanks with the appropriate word:

(i) Continuous thin line with zig zag is used for ___________.

(ii) Dotted line is used for ______________.

Answer :Answer :Answer :Answer :Answer :

(i) Long break lines.

(ii) Invisible edges.

Q2. Differentiate between Vernier scale and plain scale.


For answer refer Unit-I, Q13.

Q3. Draw the projections of a straight line AB of 60 mm length for the following positions:

(i) Parallel to and 30 mm above H.P and on V.P.

(ii) Inclined to horizontal plane at 35 and pt A in front of V.P at 10 mm and 20 mm above H.P.


(i) Parallel to and 30 mm above H.P and on V.P

Xa b

Y

b'a'

60

30

Xa b

Y

b'a'

60

30

(ii) Inclined to horizontal plane at 35 and pt A in front of V.P at 10 mm and 20 mm above H.P

X

a b

Y

10

20

a'

b'

60

35

X

a b

Y

10

20

a'

b'

60

35


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Q4. Draw the projections of a circle of dia. 50 mm, resting on one of its ends of the diameter on H.P.


50

a b

b'a'X Y

50

a b

b'a'X Y

Q5. Define polyhedra, prism and pyramid.


For answer refer Unit-III, Q2.

Q6. Differentiate between section, sectional top view and sectional front view.


For answer refer Unit-IV, Q1.

Q7. A cone of height 60 mm and base radius 40 mm, has the development of its lateral surface as asector of circle. What is the radius of the sector and its angle?



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Q8. What are the two methods adopted for drawing isometric views? Explain any one method.


Methods of Isometric Views

The two different methods adopted for drawing isometric views are as follows,

1. Box method

2. Coordinate or Offset method.

Box Method

(i) In this method, the object is assumed to be enclosed in a transparent rectangular box.

(ii) This rectangular box is drawn with its two sides inclined at an angle of 30 on both the sides.

(iii) Position all the ends and key points on the edges of the solid and on the outlines of the rectangular box.

(iv) Transfer all the points lying on the curves, to the box.

Q9. Give the various applications of intersection of surfaces.


Applications of Intersection of Surfaces

Some of the applications of intersection of surfaces are as follows,

1. Fittings of steam dome of cylindrical boilers.

2. Construction of air crafts (wings of aeroplanes).

3. Fabrications of funnels, chimneys, hoppers, vessels etc.

4. Cutting of openings in roof surfaces for flues and stacks.

5. In drafting of automobile body frames.

6. Manufacturing of pipe fittings, towers, storage tanks, air-conditioning ducts, etc.

Q10. Construct an isometric scale to measure 15 cms.



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PART-B ( Marks : 65 )

Q11. (a) On a building plan 10 cm long represents a distance of 5 m. Construct a diagonal scale for theplan to read upto 6 m, showing meters, decimeter, centimeter. Indicate on your scale the

length 4.76 m, 5.57 m, 3.24 m.


(b) Two points A and B are 100 mm apart. A point C is 75 mm from A and 60 mm from B. Draw anellipse passing through A, B and C.


Figure


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Construction

1. Locate the pointAandBwhich are 100 mm apart and also locate the point C.

2. JoinAandB, and locate its midpoint as O.

3. Join COand extend it toDsuch that CO= OD.

4. Draw the parallelogram PQRSpassing through pointsA,B, CandD.

5. Construct the ellipse following the steps of oblong method.

6. In the oblong method, firstly we will divide the lineAPandAOinto the same number of equal parts and mark them as

shown in the figure.

7. Join Cwith the points 1', 2' and 3'.

8. JoinDwith the points 1, 2, 3 and extend them till they meet the line 1', 2', 3' atA1,A

2andA

3respectively.

9. Repeats the above three steps and obtain the remaining points in the other quadrants.

10. Draw a smooth curve passing through all these points. Which gives the required ellipse.

Q12. An equilateral triangular pyramid of base side 40 mm and axis height 65 mm rests in H.P on one ofits base sides. Draw its projections if the axis makes angles of 25 and 40 with H.P and V.P respectively.


Q13. (a) One end A of a straight line AB is 20 mm above H.P and 50 mm before V.P. The other end B is70 mm above H.P and 25 mm before V.P. The distance between the end projectors of the line is60 mm. Draw the projections of the line and find the true length, true inclinations with H.P andV.P and the traces of the line.


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(b) A regular hexagonal lamina of 20 mm side, rests on one of its sides on H.P. It is parallel to and10 mm away from V.P and it is in first quadrant. Draw the projections.


Q14. A cylinder of base diameter 40 mm and axis height 70 mm is resting in H.P on one of its generatorswith the axis parallel to both H.P and V.P. It is cut by a section plane that is perpendicular to H.P andinclined at 45 to V.P. Draw the sectional view and true shape of the section if the section planebisects the axis.


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Q15. A sphere of radius 20 mm is kept centrally on the top face of a square prism of base 40 mm side andheight 30 mm. The combination is placed on the top of a cylinder of 70 mm dia. and height 40 mm.All the three solids have the common vertical axis. Draw the isometric projection of the combinedsolid.



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16. A pentagonal pyramid of base 30 mm side and height 50 mm, stands with its base on H.P such thatan edge of the base is parallel to V.P. It is cut by a plane perpendicular to V.P inclined at 45 to H.Pand passing through a point on the axis, 30 mm above the base. Draw the sectional top view anddevelopment of the lateral surface of the truncated solid.



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Q17. A vertical cylinder of 60 mm dia. is penetrated by a horizontal cylinder of 40 mm dia. The axis of thepenetrating cylinder is parallel to V.P and 6 mm in front of the axis of the vertical cylinder. Draw theprojections and show the curves of intersection.


Figure

Construction Details

1. Draw the projection of both cylinders for the given position and name the generators of the penetrating cylinder in all

the three views.

2. Makep1,p

2,p

6,p

10,p

12where the generators 1-1, 2-2, 6-6, 10-10, 12-12, intersect the circle in the top view. Since the

generators 3" )5(''5and)4(''4),3(''

1''

1"1 do not intersect the vertical cylinder. There is no intersection point on any of

these generators.

3. After obtaining the intersection pointsp1.........p

12and q

1..........q

12project these intersection points to the front view.

4. Mark the four critical pointsk', l ', m' and n'.

5. Also mark two more critical points r" and s" where the circle cuts the extreme generator b'', 1b in the side view and

project these points to the front view.


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6. Intersection curvep1p

2rq

2q

1is nearer to the observer in the top view. Hence, draw

'1

'2

'2

'1 ' qqrpp as thick line in the

front view.

7. Similarly draw'7

'6

'6

'7 ' qqspp as thick line in the front view.

8. Draw the hidden portion of the curve by dotted lines k','10p , m' and l ',

'10q , n'.

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BE OU FirstYear EnggGraph May June 12

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