Lesson 5 Projections of Solids - Part II
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The document provides methods for drawing projections of solids with axes inclined to the horizontal plane (HP) and parallel to the vertical plane (VP), focusing on a 'change of position method' comprising two steps. Examples include a pentagonal prism, square pyramid, cylinder, and cone, each demonstrating the process of drawing top views (TV) and front views (FV) while considering visible and hidden edges. Essential tips for effectively marking edges and references for further reading are also included.
Lesson 5 Projections of Solids - Part II
- 1. PROJECTIONS OF SOLIDS Part II Prof.T.JEYAPOOVAN Department of Mechanical Engineering Hindustan Institute of Technology and Science Chennai-603103, India www.jeyapoovan.com
- 2. Projections of a Solid kept with its axis inclined to HPand parallel to VP • Whenever the axis of the solid is kept inclined to HP and parallel to VP, 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.jeyapoovan.com
- 3. Change of position method • Change of position method has 2 steps • Step 1: Assume the axis of the solid is kept perpendicular to HP and parallel to VP, draw the TV and project the FV. Care is taken to draw the polygon in TV. • Step 2: Tilt and reproduce the FV obtained in STEP 1 and project the TV. Show the visible and hidden edges to complete the projections. www.jeyapoovan.com
- 4. Example 1: A pentagonal prism of base side 30 mm axis length 60 mm is resting on HP on one of its base sides with its axis inclined at 50° to HP and parallel to VP. Draw its projections. • Step1: Assume the axis perpendicular to HP and parallel to VP. Draw the TV and project the FV. Note that one of the sides of the pentagon is taken perpendicular to XY. • Step 2: Tilt and reproduce the FV of STEP 1, axis at 50º to XY and project the TV. Show the visible and hidden edges to complete the projections. www.jeyapoovan.com
- 5. Example 2: A square pyramid of base side 30 mm, axis length 60 mm is resting on one of its base corners with its axis inclined at 50º to HP and parallel to VP. Draw its projections when the base sides containing the resting corner are equally inclined to HP. • Step1: Assume the axis perpendicular to HP and parallel to VP. Draw the TV and project the FV. Note that two sides of the square are drawn equally inclined to XY. • Step 2: Tilt and reproduce the FV of STEP 1, axis at 50º to XY and project the TV. Show the visible and hidden edges to complete the projections. www.jeyapoovan.com
- 6. Example 3: A cylinder of base diameter 40 mm and axis length 60 mm is resting on HP on a point on the circumference of the base. Draw its projections when the bases are inclined at 40º to HP and perpendicular to VP. • Step1: Assume the axis of the cylinder perpendicular to HP and parallel to VP. Draw TV and project FV. Divide the circle into 8 equal parts to show 8 generators. • Step 2: Tilt and reproduce the FV of STEP 1, axis at 40º to XY and project the TV. Show the visible and hidden portion of the bottom base. Note that generators are shown in thin lines. www.jeyapoovan.com
- 7. Example 4: A cone of base diameter 50 mm and axis length 60 mm is placed with a generator parallel to and 15 mm above HP. Draw its projections when the axis is parallel to HP. • Step1: Assume the axis of the cone perpendicular to HP and parallel to VP. Draw TV and project FV. Divide the circle into 8 equal parts to show 8 generators. • Step 2: Tilt and reproduce the FV of STEP 1 with a generator parallel to and 15mm above XY and project the TV. Note that generators are shown in thin lines. www.jeyapoovan.com
- 8. Tips to MarkVisible and Hidden Edges • Read the problem carefully and understand the 2 steps. Draw the polygon in first step of TV correctly and project FV, then follow the second step. • Boundary edges of top or front view are always visible. • The portion of the solid in front of the axis (observe from top View) is visible in front view and behind the axis is invisible. • The base corners, edges and longer edges marked on and in front of the axis of the solid in top view are always visible in front view. www.jeyapoovan.com
- 9. www.jeyapoovan.com 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.
- 10. End of Lesson 5 ThankYou www.jeyapoovan.com