Lesson 6-solids-iii
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This document discusses the projection of solids with axes inclined to the vertical plane (VP) and parallel to the horizontal plane (HP). It describes the change of position method for drawing such projections in two steps: 1) assume the axis is perpendicular to VP and parallel to HP and draw front and top views; 2) reproduce the top view at the required inclination and project the front view. It provides examples of applying this method to draw the projections of various solids, including prisms, cylinders, pyramids, and cones, oriented with different inclinations. Tips are also given for determining which edges are visible or hidden in the projections.
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This document discusses methods for projecting solids when the axis is inclined to the horizontal plane (HP) and parallel to the vertical plane (VP). It describes the change of position method, which involves first drawing the projections with the axis perpendicular to HP, then tilting the front view to the correct orientation. Several examples demonstrate applying this method to a pentagonal prism, square pyramid, cylinder, and cone. Tips are provided for determining which edges are visible or hidden in the projections. The document is intended to teach engineering graphics concepts related to multi-view projections of 3D objects.
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Engineering Graphics Projection of Solids.pptx
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Lesson 6-solids-iii
- 1. PROJECTIONS OF SOLIDS Part III Prof.T.JEYAPOOVAN Department of Mechanical Engineering Hindustan Institute of Technology and Science Chennai-603103, India www.EGlive.in
- 2. Projections of a Solid kept with its axis inclined to VP and parallel to HP • Whenever the axis of the solid is kept inclined to VP and parallel to HP, the projections of the solid is drawn using the following methods. – Change of position method – Change of reference line method • Change of position method is simple and commonly used to draw the projections. www.EGlive.in
- 3. Change of position method • Change of position method has 2 steps • Step 1: Assume the axis of the solid is kept perpendicular to VP and parallel to HP, draw the FV and project the TV. • Step 2: Reproduce the TV obtained in STEP 1 to the required inclination of the axis with XY and project the FV. Show the visible and hidden edges to complete the projections. www.EGlive.in
- 4. Example 1: A pentagonal prism of base side 30 mm axis length 60 mm is resting on HP on one of its rectangular faces with its axis inclined at 40° to VP. Draw its projections. • Step1: Assume the axis perpendicular to VP and parallel to HP. Draw the FV and project the TV. • Step 2: Reproduce the TV of STEP 1 at 40º to XY and project the FV. Show the visible and hidden edges to complete the projections. www.EGlive.in
- 5. Example 2: Draw the projections of a cylinder 60 mm diameter and 75 mm long, lying on the ground with its axis inclined at 60º to VP. Draw its projections. • Step1: Assume the axis perpendicular to VP and parallel to HP. Draw the FV and project the TV. Divide the circle into 8 equal parts to show 8 generators. • Step 2: Reproduce the TV of STEP 1 at 60º to XY and project the FV. Show the visible and hidden edges to complete the projections. www.EGlive.in
- 6. Example 3: A hexagonal pyramid of base side 30 mm and axis length 60 mm is resting on VP on one of its triangular faces with its axis parallel to HP. Draw its projections. • Step1: Assume the axis perpendicular to VP and parallel to HP. Draw the FV and project the TV. Note that one of the sides of the hexagon is taken perpendicular to XY. • Step 2: Reproduce the TV of STEP 1 and project the FV. Show the visible and hidden edges. Note that one of the triangular faces is on VP. www.EGlive.in
- 7. Example 4: A cone of base diameter 50 mm and axis length 60 mm is resting on VP on one of its generators with its axis parallel to HP. Draw its projections. • Step1: Assume the axis perpendicular to VP and parallel to HP. Draw the FV and project the TV. Divide the circle into 8 equal parts to show 8 generators. • Step 2: Reproduce the TV of STEP 1 such that one of the generators is on XY and project the FV. Note that generators are shown in thin lines. www.EGlive.in
- 8. Tips to Mark Visible and Hidden Edges • Read the problem carefully and understand the 2 steps. Draw the polygon in first step of FV and project TV, then follow the second step. • The base corners, edges and longer edges marked on and above the axis of the solid in front view are always visible in top view, other portion is invisible. • Outer or boundary edges of top or front views are always visible. www.EGlive.in
- 9. REFERENCE BOOKS 1. Jeyapoovan T, “Lesson Plans for Engineering Graphics”, 2010, Vikas Publishing House Pvt Ltd, New Delhi. 2. Jeyapoovan T, “Engineering Drawing and Graphics”, 2011, Vikas Publishing House Pvt Ltd, New Delhi. www.EGlive.in
- 10. End of Lesson 6 Thank You www.EGlive.in