Jawaharlal Nehru Technological University Hyderabad
Jawaharlal Nehru Technological University Hyderabad B.Tech I ENGINEERING GRAPHICS Previous Question Paper (July - 2021 - R16)
Answer any three questions. All questions carry equal marks.
Main
A circle of 50 mm diameter rolls on and in another fixed circle of radius 80 mm. Draw the hypocycloid for the point P on the rolling circle, which is at the contact point of the rolling and fixed circles.
Answer
To draw the hypocycloid where a circle of diameter 50 mm (radius r = 25 mm) rolls inside a fixed circle of radius R = 80 mm:
- Calculate the angle subtended by the rolling circle at the center of the fixed circle: θ = (r/R) * 360° = (25/80) * 360° = 112.5°.
- Draw the fixed circle with radius 80 mm and divide the sector of 112.5° into 8 equal parts.
- Draw the locus of the center of the rolling circle, which is an arc of radius (R - r) = 55 mm.
- Divide the rolling circle into 8 equal parts and label them.
- For each position of the center on the 55 mm arc, draw an arc with radius r = 25 mm and mark the corresponding points on the hypocycloid path by transferring the divisions from the rolling circle.
- Connect these points with a smooth curve to complete the hypocycloid.
Construct a plain scale of R.F=1:50,000 to show kilometers and hectometers and long enough to measure up to 7 kilometers. Measure a distance of 54 hectometers on your scale.
Answer
Given R.F. = 1/50,000 and maximum length = 7 km.
- Calculate the Length of Scale (L.O.S.): L.O.S. = R.F. * Maximum Length = (1/50,000) * 7 * 100,000 cm = 14 cm.
- Draw a line 14 cm long and divide it into 7 equal parts, each representing 1 km.
- Subdivide the first division into 10 equal parts, where each part represents 1 hectometer (since 1 km = 10 hm).
- To measure 54 hectometers (5.4 km), mark 5 km on the main scale and 4 hectometers on the subdivided part.
- Label the scale clearly indicating 0, 1, 2, ..., 6 km on the main scale and 0 to 10 hm on the sub-scale.
Draw the projections of a pentagon ABCDE of side 25 mm. The surface is parallel to VP and perpendicular to HP with one side perpendicular to HP.
Answer
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A line PQ has its end P, 10 mm in front of VP and 15 mm above HP. The other end Q is 50 mm in front of VP. The front view has a length of 70 mm. The distance between the end projectors is 60 mm. Draw the projections of the line. Find its true length and true inclinations.
Answer
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A pentagonal pyramid having base edge 30 mm and axis 70 mm long is resting on one of its triangular faces in HP and having axis parallel to VP. Its axis making 30 degrees to XY line. Draw its plan of elevation.
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A cone of 50 mm base diameter and axis 65 mm is suspended from a point on the base. Draw its plan and elevation.
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A triangular pyramid with 40 mm edges at its base and the axis 50 mm long is resting on its base with an edge of the base parallel to and near the VP. It is cut by a section plane perpendicular to the HP and parallel to the VP and 10 mm from the axis. Draw a sectional front view and a top view of the pyramid.
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Draw the orthographic view of the following figure 1. All dimensions are in ‘mm’.
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Draw the isometric view of the following figure 2. All dimensions are in ‘mm’.
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