Problem 6.6 Projection of Solids

Problem 6.6 Projection of Solids – A hexagonal pyramid of side of base 30 mm and axis length 90 mm rests on one of its slant edge on the H.P. such that the plane containing that slant edge on which it rests on H.P. is inclined at 45° to V.P. and the apex is near to the V.P. Draw the projection of it.

Projection of Solids Problems
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Procedure:

Step-1 Draw a horizontal x-y line of some suitable length.

Step-2 Draw a hexagon of side of length 30 mm, below the x-y line at some suitable distance such that two sides of the hexagon should be parallel with the x-y line, as shown into the figure. From the corners of the hexagon draw straight lines to the center of the hexagon, these lines represents the vertical slant edges of the hexagon converging at the center, in top view. And give the notations. It is the top view of the 1st stage.

Step-3 From the center of the hexagon in the top view i.e., point “ o ”, draw a vertical center line of the length equal to 90 mm.  And from the notations of the hexagon in top view, draw perpendicular vertical projectors up to the x-y line. From these end points draw slant lines connecting to the apex point  “ o’ ”  in the front view, and give the notations as shown into the figure. It is the front view of the 1st stage.

Step-4 Now copy the front view of the 1st stage as the front view of the 2nd stage with the same dimensions, such that the line o’-a’, should be parallel to the x-y line& resting on it, and the remaining drawing should be drawn accordingly as shown into the figure. It is the front view of the 2nd stage.

Step-5 From the notations of the front view of the 2nd stage draw vertical projectors into down ward direction and from the top view of the 1st stage draw projectors into horizontal direction as shown into the figure, which will intersect with each other at respective points.

Step-6 From these respective points of intersections, draw straight lines between all the points in sequence as shown into the figure. And give the notations. It is the top view of the 2nd stage.

Step-7 Copy the top view of the 2nd stage as the top view of the 3rd stage at an angle 45° with the x-y line such that the apex of the hexagonal pyramid should be near to the x-y line,  as show into the figure with the same dimensions. And give all the notations on it. It is the top view of the 3rd stage.

Step-8 From the front view of the 2nd stage, draw horizontal projectors, and from the top view of the 3rd stage draw vertical projectors in upward direction, which will intersect with the previously drawn projectors at respective points.

Step-9 From these respective points of intersections, draw straight lines between all the points in sequence as shown into the figure,  as shown into the figure. But the lines from the points d’ e’ & f’ are dotted lines because of hidden. It is the front view of the 3rd stage.

Step-10 Give the dimensions by any one method of dimensions and give the notations as shown into the figure.