JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD B.Tech I Year ENGINEERING GRAPHICS Previous Question Paper (December - 2018 - R16)
Answer all five questions. All questions carry equal marks.
Main
Draw a rectangular hyperbola whose directices are 40 mm apart and locate its foci and vertices.
Answer
- A rectangular hyperbola is a special case where the eccentricity e = √2.
- Given the distance between directrices is 40 mm, the distance from the center to each directrix (d) is 20 mm.
- Locate the center O. Draw the transverse axis and the two directrices perpendicular to it at 20 mm on either side of O.
- Since e = √2, the distance from the center to the focus F is c = a × e, where a is the distance from the center to the vertex. For a rectangular hyperbola, a = c / √2.
- Calculate a = 20 / √2 ≈ 14.14 mm. Mark the vertices V1 and V2 at 14.14 mm from O.
- Mark the foci F1 and F2 at 20 mm from O (since c = a × √2 = 20 mm).
- To draw the curve, mark points P1, P2, ... on the transverse axis beyond the vertex. Draw vertical lines through these points.
- With F1 as center and radius equal to the distance from P to the corresponding directrix, draw arcs to intersect the vertical line. Repeat for the other branch.
Construct a scale of RF 1:40 to read metres and decimeters and long enough to measure up to 6m. Mark on it distances of 4.7m and 3.2m.
Answer
- Representative Fraction (RF) = 1/40.
- Maximum Length (ML) = 6 m.
- Length of Scale (LOS) = RF × ML = (1/40) × 6000 mm = 150 mm.
- Draw a rectangle of 150 mm length and a suitable height (e.g., 20 mm).
- Divide the 150 mm line into 6 equal parts, each representing 1 meter. Label them 0, 1, 2, 3, 4, 5.
- Divide the first division (0 to 1) into 10 equal subdivisions, each representing 1 decimeter (0.1 m).
- To mark 4.7 m: Start from the 4th meter mark to the right and move 7 subdivisions to the left from the 0 mark.
- To mark 3.2 m: Start from the 3rd meter mark to the right and move 2 subdivisions to the left from the 0 mark.
- Use a diagonal or plain scale construction to show these measurements clearly.
Two points are fixed and 100 mm apart. Draw the locus of a point in such a manner that the difference of its distance from the points is 75 mm. Name the curve.
Answer
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The distance between two stations is 100 km and on a road map it is shown by 30 cm. Draw a diagonal scale and indicate distances of 46.8 km and 32.4 km on it.
Answer
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A line PQ, inclined at 30° to the H.P., has the end P at 20 mm above the H.P. and 10 mm in front of the V.P. The front view of the line is 70 mm long and inclined at 60° to the reference line. Draw the projections of the line and determine its true length and inclinations with the principal planes.
Answer
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A regular hexagonal plane of side of 25 mm is resting on HP on one of its corners such that the largest diagonal passing through that corner is making 45° with HP and 30° with VP. Draw the projections.
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Draw the projections of a cube of 40 mm edges, having one of its edges on the H.P. which is inclined at 30° to the V.P. and the base is making an angle of 45° with the H.P.
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Draw the projections of a cube of 40 mm side, having one of its sides on the H.P. Which is inclined at 30° to the V.P and one of the faces conducting the edge making 60° with H.P?
Answer
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A pentagonal pyramid having a base with 30 mm side and 60 mm axis, rests on its base on H.P with one edge of the base perpendicular to V.P. Draw front view, sectional top view and true shape of the section when it is cut by an A.I.P. Which makes 30° with H.P, perpendicular to V.P and passing through mid point of the axis.
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A square pyramid having base with a 40 mm side and 65 mm long axis is resting on its base in the H.P. with a side of base parallel to the V.P. It is cut by an A.I.P. making an angle of 45° with the H.P. and bisecting the axis. Develop the surface of the bottom portion of the truncated pyramid.
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A square pyramid having a side of 50 mm base and 75 mm as axis height stands centrally on circular block of 100 mm diameter and 50 mm thick. The base edges of the pyramid are parallel to VP. Draw the isometric projection of the two objects.
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Draw the elevation, top view and side view of the object shown in figure. All the dimensions are in mm.
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