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Projection of lines
This document provides instructions for an assignment in engineering graphics. It outlines 5 problems to complete for the assignment involving different types of projections of lines, including: 1. Finding the angle of inclination for problems involving a pentagon, square, and rectangle. 2. Problems from the university questions involving finding the angle of inclination for a circle and hexagon. 3. An overview of the different types of projections involving lines in various orientations to the horizontal and vertical planes. There are 7 different types described involving finding lengths, angles of inclination, loci of points, and distances of lines.
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Projection of lines
- 1. ASSIGNMENT (to be submittedon 22nd Oct 2010, Friday) 1. Page 2 – Problem 4 (pentagon) – TYPE 1a 2. Page 2 – Problem 5 (square) – TYPE 1a 3. Page 3 – Problem 7 (rectangle) – TYPE 2a (find angle of inclination with V.P.) 4. University questions – No. 7 (circle) – TYPE 1b2 (find angle of inclination with H.P.) 5. University questions – No. 9 (hexagon) – TYPE 2a
- 2. PROJECTION OF LINES EngineeringGraphics I Year - CSE
- 3. Line parallel toHP and VP True length VP HP Distance above HP Distance in front of VP a’ b1’ b1 a True length
- 4. Locus of a’ Locusof a True length Top view length VP HP Distance above HP Distance in front of VP True inclination with HP a’ b1’ b1 a Line inclined to HP and parallel to VP
- 5. Locus of a’ Locusof a Truelength VP HP Distance above HP Distance in front of VP True inclination with HP a’ b1’ a Line perpendicular to HP , b1
- 6. Locus of a’ Locusof a VP HP Distance above HP Distance in front of VP a’ True length True inclination with VP b1 a Front view length b1’ Line inclined to VP and parallel to HP
- 7. TYPE - I Locusof one end point True length True inclinations with VP and HP Line inclined to both VP and HP
- 8. Apparent inclination with HP Locus ofa’ Locus of b’ Locus of a Locus of b True length True length Front view length VP HP Distance above HP Apparent inclination with VP True inclination with VP True inclination with HP a’ b1’ b1 aDistance in front of VP Top view length Frontview length b2’ Topviewlength b2 Distance between end projectors
- 9. TYPE - II Locusof two end points True length Line inclined to both VP and HP
- 10. Apparent inclination with HP Locus ofa’ Locus of b’ Locus of a Locus of b True length True length Front view length VP HP Apparent inclination with VP True inclination with VP a’ b1’ b1 a Top view length Frontview length b2’ Topviewlength b2 Distance between end projectors Distances above HP Distances in front of VP True inclination with HP
- 11. Apparent inclination with HP Locus ofb’ Locus of a’ Locus of a Locus of b True length True length Front view length VP HP Apparent inclination with VP True inclination with VP a’ b1’ b1 a Top view length Frontview lengthTopviewlength b2 Distance between end projectors Distances above HP Distances in front of VP True inclination with HP b2’
- 12. TYPE - III Truelength Top and front view of ONE end point Top/front view of OTHER end point Length of Top/front view Line inclined to both VP and HP
- 13. Apparent inclination with HP Locus ofa’ Locus of b’ Locus of b Locus of a True length True length Front view length VP HP Apparent inclination with VP True inclination with VP a’ b1’ b1 a Top view length Frontview length b2’ Topviewlength b2 Distance between end projectors Distance above HP Distances in front of VP True inclination with HP
- 14. TYPE - IV Truelength Top and front view of ONE end point Length of top AND front views Line inclined to both VP and HP
- 15. Apparent inclination with HP Locus ofa’ Locus of b’ Locus of a Locus of b True length Front view length VP HP Distance above HP Apparent inclination with VP True inclination with VP True inclination with HP a’ b1’ b1 aDistance in front of VP Top view length Frontview length b2’ Topviewlength b2 Distance between end projectors True length
- 16. TYPE - V Distancebetween end projectors Line inclined to both VP and HP
- 17. Apparent inclination with HP Locus ofa’ Locus of b’ Locus of a Locus of b True length Front view length VP HP Distances above HP Apparent inclination with VP True inclination with VP True inclination with HP a’ b1’ b1 aDistance in front of VP Top view length Frontview length b2’ Topviewlength b2 Distance between end projectors True length
- 18. TYPE - VI Oneend point in H.P. and the other in V.P. Line inclined to both VP and HP
- 19. Apparent inclination with HP Locus ofb’ Locus of a True length True length Front view length VP HP Apparent inclination with VP True inclination with VP a1 Top view length Frontview length b2’ Topviewlength True inclination with HP a2 b1’ Locus of a’ Locus of b
- 20. Locus of a’ Locusof b’ Locus of b Locus of a VP HPa1’ Frontview length b2’ Topviewlength a2 b Distance between end projectors
- 21. TYPE - VII Mid-pointproblem Line inclined to both VP and HP
- 22. Apparent inclination with HP Locus ofa’ Locus of b’ Locus of a Locus of b TL/2 Front view length VP HP Distance above HP Apparent inclination with VP True inclination with VP True inclination with HP a1’ b1’ b1 a1 Distance in front of VP Top view length Frontview length b2’ Topviewlength b2 Locus of m’ Locus of m TL/2 TL/2 TL/2 a2 m m’ a2’ Distance between end projectors
- 23.