DEC 2004 Question Paper with Model Solution

B.E. (First / Second Semester) Examination, DEC 2004
BE-105 Engineering Graphics

(Only for Ex-students, Common for all branches)
Time : 3 Hrs Maximum Marks : 100 Minimum Pass Marks : 35

Note: Attempt all questions on drawing sheet only. All questions carry equal marks. Make suitable assumptions wherever necessary.

1. Attempt any two parts of the following:

a. The area of a field is 50000 Sq. m. The length and breadth of the field on the map is 15 cm and 8 cm respectively. Construct a diagonal scale which can read upto single metre. Mark the length of 346 m on the scale.
Representative Fraction, 1/2041.24
Assuming maximum length of scale as 400m, Length of scale on drawing is 19.6 cm

b. The major axis and the minor axis of the ellipse are 110 mm and 60 mm. Construct the ellipse by concentric circles method.

Ans: Similar to problem 5.5 Page 5.8, ED - Basant Agrawal, TMH.

c. A circle of 50 mm diameter rolls on another circle of 175 mm diameter on the outside. Draw the curve traced out by a point on the rolling circle. Also draw a set of tangent and normal on a suitable point on the curve.

Ans: Similar to problem 6.3 Page 6.3, ED - Basant Agrawal, TMH.

2. The end A of a line AB is in HP and 25 mm behind VP. The end B is in the VP and 50 mm above HP. The distance between end projectors is 75 mm. Draw the projections of AB and determine its true length.

True length = 3.5 mm

OR

A line CD 80 mm long is inclined at 45º to HP and 30º to the VP, its end C is in HP and 40 mm in front of VP. Draw the projections.

3. Draw the projections of a circle of 50 mm diameter resting in HP on a point A on its circumference, its plane inclined at 45º to HP and top view of the diameter AB making 30º angle with the VP.

Ans: Similar to problem 10.20(b) Page 10.22, ED - Basant Agrawal, TMH.

OR

A hexagonal pyramid, base 25 mm side and axis 55 mm long, has one of its slant edges on the ground. A plane containing that edge and the axis is perpendicular to HP and inclined at 45º to VP. Draw its projections, when the apex is nearer to VP then the base.

Ans: Similar to problem 11.38 Page 11.39, ED - Basant Agrawal, TMH.

4. A cube of 65 mm long edges has its vertical faces equally inclined to VP. It is cut by a section plane perpendicular to the VP so that the true shape of section is a regular hexagon. Determine the inclination of the cutting plane with the HP and draw the sectional top view and true shape of the section.

Ans: Similar to problem 12.46 Page 12.39, ED - Basant Agrawal, TMH.

OR

Draw the projections of a cone resting on the ground on its base and show on them the shortest path by which a point P, starting moving from a point on the circumference of the base and moving around the cone will return to the same point. Base of cone is 65 mm diameter and axis is 75 mm long.

Ans: Similar to problem 13.48 Page 13.42, ED - Basant Agrawal, TMH.

OR

A vertical square prism, base 50 mm side is intersected by another square prism, base 35 mm side, the axis of which is parallel to the VP and inclined at 30º to HP. The axis of the inclined prism intersects the vertical prism axis. Draw the projections showing the line of intersection.

Ans: Similar to problem 14.18 Page 14.21, ED - Basant Agrawal, TMH.

5. What is the difference between isometric projections and isometric drawing? Draw the isometric projections of a sphere of radius 25 mm, resting centrally on the top of a square prism of base edge 60 mm and height 30 mm.

Ans: Similar to problem 15.21 Page 15.16, ED - Basant Agrawal, TMH.

OR

Draw the front view, top view and right side view of the object shown below.

Ans: Right hand side figure is the solution to the problem.