June 2004 Question Paper with Model Solution

B.E. (First / Second Semester) Examination, JUNE 2004
BE-105 Engineering Graphics (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 m2. The length and breadth of the field on the map is 10 cm and 8 cm respectively. Construct a diagonal scale which can read upto single metre. Mark the length of 235 m on the scale. What is the R.F. of the scale?

Representative Fraction, 1/2500
Assuming maximum length of scale as 400m,

b. A point P moves towards another point O, 60 mm from it and reaches it while moving around it once, its movement towards O being uniform with its movement around it. Draw the curve traced out by the point P.

Ans: Similar to problem 6.6 Page 6.6, ED - Basant Agrawal, TMH.

c. A circle of 46 mm diameter rolls on a horizontal line for a half revolution and then on a vertical line downwards for another half revolution. Draw the curve traced out by a point P on the circumference of the circle. Assume that the horizontal and the vertical line constitute a corner.

Ans: Similar to problem 6.8 Page 6.9, ED - Basant Agrawal, TMH.

2. Attempt any two parts of the following:
a. A line AB measures 100 mm. The projectors through its VT and the end A are 40 mm apart. The end A is 30 mm above HP and 20 mm in front of VP. The VT is 10 mm below the HP. Draw the projections of the line and determine HT and inclination of line with HP and VP.

Ans: HT is 5 mm in front of VP; inclination with HP, θ = 42º and with VP, Ø = 19º.

b. The distance between the end projectors of a line AB is 70 mm and the projectors through the traces are 110 mm apart. The end of a line is 10 mm above HP. If the top view and the front view of the line makes 30º and 60º with XY line respectively. Draw the projections of the line and determine (i) the traces, (ii) the angles with the HP and the VP, and (iii) the true length of the line.

Ans: (i) HT = 190.5 mm in front of VP, VT = 63.5 mm above HP;
(ii) Inclination with HP = θ = 16º, inclination with VP = Ø = 56º;
(iii) True length of line = 145.7 mm

c. An equilateral triangle of 40 mm long side has an edge on the ground and inclined at 60º to the VP. Its plane makes an angle of 45º with the HP. Draw its projections.

3. A right pentagonal prism 90 mm high with each side of the base 30 mm is resting on one of the edges on the horizontal plane and inclined at 30º to VP and the face containing that edge is inclined at 45º to HP. Draw the projections of the pentagonal prism.

Ans: Similar to problem 11.26 Page 11.29, ED - Basant Agrawal, TMH. Keep the pentagon on the HP in the first stage, then incline the solid 45º to HP in the second stage. Now incline the resting edge of the prism at 30º to VP in the final stage.

OR

A rectangular plate ABCD measuring 45 mm × 35 mm, has its diagonal AC inclined at 30º to the HP, whereas the diagonal BD makes an angle of 45º to VP. Draw its projections.

Ans:

4. A hexagonal pyramid, base 30 mm side and axis 65 mm long, is resting on its base on the HP with two edges parallel to the VP. It is cut by a section plane perpendicular to the VP, inclined at 45º to the HP and intersecting the axis at a point 25 mm above the base. Draw the front view, sectional top view, sectional side view and true shape of the section.

Ans:

OR

The solid composed of a truncated half cylinder and a half prism as shown in fig 1. Draw the development of its lateral surface.

Ans: Similar to problem 13.25 Page 13.23, ED - Basant Agrawal, TMH.

5. A vertical cone, base 80 mm diameter and axis 110 mm long is penetrated by a horizontal cylinder 45 mm diameter. The axis of the cylinder s 25 mm above the base of the cone and is parallel to the VP, 10 mm away from the axis of the cone. Draw the projections of the solids showing curve of intersection.

Ans: Similar to problem 14.15 Page 14.18, ED - Basant Agrawal, TMH.

OR

Three views of an assembling block are shown in fig 2. Draw the isometric projections of the object.

Note: (1) Problem has been modified to first angle projections. (2) Limited number of dotted lines is drawn in the isometric view to give clear idea of the object.