Problem 7.2 Section of Solids – A cylinder diameter of base 50 mm and height 70 mm is resting on H.P. on its base. It is cut by A.I.P. in such a way that it makes an angle of 450 with H.P. and passing 10 mm above the centre of its height. Draw elevation, sectional top view, Sectional side view and true shape of the section.
Step-1 Draw a horizontal x-y line of some suitable length.
Step-2 Draw a circle of diameter 50 mm below the x-y line at some suitable distance from it. And divide this circle into 8 equal divisions as shown into the figure. Give notations on it.
Step-3 From the center of the circle, draw a vertical center line of length 70 mm from the x-y line as shown into the figure. And from these notations of the circle draw vertical projectors of the length equal to its height i.e., 70 mm. It is a rectangular shape & front view. And Give the notations on it.
Step-4 Draw a cutting plane line passing at the distance 40 mm from the base & on the center line of the cylinder in front view, such that its inclination with the x-y line should be equal to 45°, as shown into the figure.
Step-5 Give the cutting points name at the intersection of the previously drawn cutting plane line with the vertical projectors of the circle in front view, i.e., p’, q’, r’ etc. as shown into the figure.
Step-6 Now as it is clear from the figure that the projectors in downward direction from the cutting points on the cutting plane line are exactly coinciding with the vertical projectors, and so that it covers the full circle in the top view as a sectional top view. That’s why draw hatching lines in the full circle in the top view. It is the Sectional Top View.
Step-7 Now draw a line x’’-y’’, parallel with the cutting plane line in the front view, which should be outside of the boundary of the front view as shown into the figure. From the cutting points, (i.e., p’, q’, r’ etc., in the front view) draw projectors which should be perpendicular to the cutting plane line and should be of some suitable length as shown into the figure.
Step-8 Now measure the distance of the cutting points from the x-y line, into the Sectional Top View and transfer the same at the respective projectors drawn from the cutting points in the front view, on the previously drawn x’’-y’’ line, which is parallel to the cutting plane line in the front view.
Step-9 From these transferred points draw a medium dark smooth free hand curve and draw hatching lines in it. It is the True Shape of the section.
Step-10 Now draw an x’-y’ line perpendicular to the x-y line and on the right of the front view. Then draw horizontal projectors from the all notations and cutting points on the cutting plane line in right side of the x’-y’ line of some sufficient length as shown into the figure. And transfer the all notations form the sectional top view in the right side of the line x’-y’, such that these all the points will intersect with each other at respective points.
Step-11 Now from theses points of intersection of cutting points draw a smooth medium dark free hand curve, as shown into the figure. And form the notations points of intersection draw vertical lines as shown into the figure. It is the Sectional Left Hand Side View.
Step-12 Give the dimensions by any one method of dimensions and give the notations as shown into the figure.