JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD B.Tech I ENGINEERING DRAWING Previous Question Paper (May - 2018 - R13)
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Main
Construct a diagonal scale when 1 km distance represents on a drawing with a length of 3 cm to read upto 6 km. Mark on it a length of 3.54 km on this scale.
Answer
First, calculate the Representative Fraction (R.F.): R.F. = Length of drawing / Actual length = 3 cm / 1 km = 3 cm / 100,000 cm = 3/100,000. The length of the scale (L.O.S.) = R.F. × Maximum length = (3/100,000) × 6 km = 18 cm. Draw a line 18 cm long and divide it into 6 equal parts, each representing 1 km. Divide the first part into 10 equal divisions to represent hectometers (0.1 km). To represent 0.04 km, use the diagonal scale principle: divide the vertical height into 10 equal parts and draw horizontal lines. Use the diagonal lines to subdivide the hectometer divisions into 10 equal parts (each representing 0.01 km). To mark 3.54 km, place one end of the divider at the 3 km mark and the other at the intersection of the 5th hectometer division and the 4th diagonal division.
A circle of 4 cm diameter rolls outside a generating circle of 14 cms diameter for one complete revolution without slipping. Trace a point’s path on the circumference of circle.
Answer
This path is an epicycloid. Given diameter of rolling circle (d) = 4 cm (radius r = 2 cm) and diameter of generating circle (D) = 14 cm (radius R = 7 cm). The angle subtended by the arc of the generating circle for one revolution is θ = (r/R) × 360° = (2/7) × 360° ≈ 102.86°. Draw the generating circle with radius R = 7 cm and mark the center C. Draw the rolling circle tangent to the generating circle at point P. Divide the rolling circle into 12 equal parts. Calculate the positions of the center of the rolling circle as it rotates around the generating circle along an arc of radius (R+r) = 9 cm. For each division on the rolling circle, draw the corresponding arc of the rolling circle center and mark the path of point P by drawing arcs of radius r = 2 cm. Connect these points with a smooth curve to obtain the epicycloid.
A stone is thrown into the air at an angle of 65° to the ground and covers a horizontal distance of 12 m. Trace the path of the stone.
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Draw involute of square of 2.5 cms side.
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A line AB has end A 10 mm above H.P and 20 mm infront of V.P. The other end is 50 mm above HP and 45 mm infront of V.P. The distance between the projections is 50 mm. Draw the projections and find true lengths and true inclinations.
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A square of 4 cms side has its surface parallel to V.P and perpendicular to H.P such that its diagonal makes an angle of 30° to H.P. Draw the projections.
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A circle of 4 cms diameter is resting on a point on its circumference in H.P, such that its surface makes an angle of 35° to H.P. and its major diameter in the top view makes an angle of 50° with V.P. Draw the projections.
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A cone of 4 cms diameter, height 6cms is resting on its curved surface in V.P. such that its front view of the axis makes an angle of 45° with H.P. Draw the projections.
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A square pyramid of side 4 cms is resting on its base in H.P, such that one of its sides of the base makes an angle of 30° to V.P. It is cut by a section plane perpendicular V.P. inclined at 45° to H.P and bisects the axis. Draw the sectional front view, top view and end view.
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A cone of 4.5 cms diameter 7 cms height is resting on its base in H.P. It is cut by a section plane perpendicular to V.P inclined at 30° to H.P and passes through left corner of the base. Draw the development of lateral surface of the cut cone.
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A square prism of 5 cm side 12 cms height is resting on its base in H.P such that all the edges of base are equally inclined to V.P. It is penetrated by a square prism of 3.5 cms side horizontally such that the axis is parallel to V.P and all the edges are equally inclined to H.P. The axis of the horizontal prism is 5 mm away from the axis of vertical prism and is located in between V.P and the axis of the vertical prism. The length of horizontal prism is 12 cm. Draw the lines of intersection.
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A sphere of 4 cms diameter is placed centrally on the top of a frustum of square pyramid of top face side 4.5 cms and bottom face side 6.5 cms with a height of 5 cms. Draw the isometric projection of the combination of solids.
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Draw front view, top view and side view of the component shown in figure. All dimensions are in mm.
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