Problem 7.9 Section of Solids – A hexagonal pyramid of side of base 40 mm and height of axis 110 mm is resting on one of its inclined vertical surface on H.P. such that its axis remains parallel to the V.P. It is cut by a cutting plane which is inclined at an angle 45° with H.P. and bisecting the axis of the pyramid. Draw front view, sectional top view.
Step-1 Draw a horizontal x-y line of some suitable length.
Step-2 Draw a hexagon of length of side 36 mm such that two sides of the hexagon should be perpendicular to x-y line. And find out the center of the hexagon and connect all the corner of the hexagon to the center of the hexagon by straight lines as shown in the figure. And give the notation on it. It is top view of the hexagon in 1st stage.
Step-3 From the center of the hexagon, draw a vertical center line of length equal to 100 mm from the x-y line and from all the corners of the hexagon in the top view, draw straight vertical projectors up to x-y line and then converge all the projectors at the end of the vertical center line i.e., point o’. And give the notations on it. It is front view in the 1st stage.
Step-4 Now mark a point a’ at some suitable distance on the x-y line and with this point as center draw two arcs of length equal to a’-o’ and a’-d’ respectively as shown in the figure. Now connects the point a’-o’-d’ with straight lines. And also transfer all other points on this view from the front view of the 1st stage respectively. And give the notations on it. It is front view of the 2nd stage.
Step-5 Draw down straight projectors from the front view of the 2nd stage and horizontal straight projectors from the top view of the 1st stage such that these all the projectors will intersect with each other at respective points, as shown in the figure. And connect these points of intersections with straight lines and give the notations on it.
Step-6 Now draw a cutting plane line passing at the distance 50 mm from either end of the front view of the 2nd stage on the center axis and inclined at the angle 45° with x-y line, as shown in the figure. And give the cutting points i.e., p’, q’ etc. as shown in the figure in the 2nd stage front view.
Step-7 Form these cutting points i.e., p’, q’ etc. draw vertical downward projectors such that these will intersect in the top view of the 2nd stage at respective lines as shown in the figure. And connects these points of cutting with straight lines and draw hatching lines within it. And give the other notations in this view. It is Section Top View of the 2nd stage.
Step-8 Give the dimensions by any one method of dimensions and give the notations as shown into the figure.