A cone of base diameter 50mm and axis 60mm has one of its generators on HP.If the axis is parallel to VP, draw its projections.
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Answer:
A cone of base diameter 50 mm and axis height 65 mm is resting on HP on one of its generators with axis parallel to VP. It is cut by A.I.P. such that the true shape of the section is a parabola with the axis length equal to 60 mm. Draw the projection of cut solid and also draw the development of lateral surface of the remaining part of the cone
Given,
Data Provided:
50 mm Cone Diameter
65 mm Axis Length
one of its generators, whose axis is parallel to VP, is supported by HP.
The section's actual shape is a parabola with an axis length of 60 mm (The length of section line is 60 mm) Process -
Make an XY line.
- The TV will be circular as the cone rests on HP.
- A 50 mm circle should be drawn. Create the circle's vertical and horizontal axes.
- Split the circle into 12 equal pieces and label them 1, 2, 3,..., 12 and O at the apex.
- Take the entire projection, including the apex, and finish the FV by measuring the axis length from the XY line outward by 50 mm. The FV is designated as 1'2'3'...12' on base and O' as the apex.
- For the purpose of sketching AIP, the end generator O'7' was cut with a radius of 60 mm (the parabola's axis) and a centre of 7'. Add a P7 to that spot.
- Create a section plane parallel to end generators O'1' and passing through point P7'.
- It'll remove the base.
True Sectional Shape
Take the measurement from FV a'b' to P7' and draw the section line on the left side of FV.
Use a compass to mark all the points on the section line, such as P1, P2, P3, P12, and a'b'.
Consider the XY line-below TV projection of the aforementioned points.
Take the P1, P2, P3, P12, and a and b projections from the sectional TV and move them to the left.
Make a note of the intersecting points, then connect them all with a smooth curve.
The True Shape of Section (TSS) is shaped like a parabola.
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