Problem 7.6 Section of Solids – A triangular pyramid of side of base 50 mm and height of axis 100 mm resting on its base on the H.P. such that one of the edges of the base parallel to V.P. and near to V.P. The pyramid is cut by a cutting plane parallel to V.P. and perpendicular to H.P. by passing through the distance 15 mm form the axis of the pyramid. Draw sectional front view and top view of the triangular pyramid.
Step-1 Draw a horizontal x-y line of some suitable length.
Step-2 Draw a triangle of side of base 50 mm below the x-y line at some suitable distance from it, such that the one of the sides of the triangle should be parallel with x-y line and near to it. Then find the center point of the triangle, and connect all the corners of the triangle to the center by straight lines as shown in the figure. Give notations on it.
Step-3 From the center of the triangle, draw a vertical center line of length 100 mm from the x-y line as shown into the figure. And from the notations of the triangle in top view, draw vertical projectors up to x-y line, and then converge all these projectors at the end of the center line i.e. apex of the pyramid (point o’) as shown into the figure. It is a triangular shape. And Give the notations on it.
Step-4 Draw a cutting plane line passing at the distance 15 mm below the horizontal center line of the triangle in top view, such that it should be parallel with the x-y line, as shown in the figure.
Step-5 Give the cutting points name at the intersection of the previously drawn cutting plane line with the edges of the triangle in top view, i.e., 1, 2, as shown into the figure.
Step-6 From these points of intersections, draw vertical upward projectors in the front view such that these projectors will intersect with the respective lines in the front view. Now connects all these points in sequence by giving notations with straight lines, as shown in the figure. And draw hatching lines in the shape obtained. It is Sectional Front View.
Step-7 Give the dimensions by any one method of dimensions and give the notations as shown into the figure.