Successfully reported this slideshow.
We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. You can change your ad preferences anytime.

Engineering Graphics - Projection of points and lines

49,194 views

Published on

Engineering Graphics - Projection of Points, Projection of Lines

Published in: Engineering
  • DOWNLOAD THIS BOOKS INTO AVAILABLE FORMAT (2019 Update) ......................................................................................................................... ......................................................................................................................... Download Full PDF EBOOK here { https://soo.gd/irt2 } ......................................................................................................................... Download Full EPUB Ebook here { https://soo.gd/irt2 } ......................................................................................................................... Download Full doc Ebook here { https://soo.gd/irt2 } ......................................................................................................................... Download PDF EBOOK here { https://soo.gd/irt2 } ......................................................................................................................... Download EPUB Ebook here { https://soo.gd/irt2 } ......................................................................................................................... Download doc Ebook here { https://soo.gd/irt2 } ......................................................................................................................... ......................................................................................................................... ................................................................................................................................... eBook is an electronic version of a traditional print book THIS can be read by using a personal computer or by using an eBook reader. (An eBook reader can be a software application for use on a computer such as Microsoft's free Reader application, or a book-sized computer THIS is used solely as a reading device such as Nuvomedia's Rocket eBook.) Users can purchase an eBook on diskette or CD, but the most popular method of getting an eBook is to purchase a downloadable file of the eBook (or other reading material) from a Web site (such as Barnes and Noble) to be read from the user's computer or reading device. Generally, an eBook can be downloaded in five minutes or less ......................................................................................................................... .............. Browse by Genre Available eBooks .............................................................................................................................. Art, Biography, Business, Chick Lit, Children's, Christian, Classics, Comics, Contemporary, Cookbooks, Manga, Memoir, Music, Mystery, Non Fiction, Paranormal, Philosophy, Poetry, Psychology, Religion, Romance, Science, Science Fiction, Self Help, Suspense, Spirituality, Sports, Thriller, Travel, Young Adult, Crime, Ebooks, Fantasy, Fiction, Graphic Novels, Historical Fiction, History, Horror, Humor And Comedy, ......................................................................................................................... ......................................................................................................................... .....BEST SELLER FOR EBOOK RECOMMEND............................................................. ......................................................................................................................... Blowout: Corrupted Democracy, Rogue State Russia, and the Richest, Most Destructive Industry on Earth,-- The Ride of a Lifetime: Lessons Learned from 15 Years as CEO of the Walt Disney Company,-- Call Sign Chaos: Learning to Lead,-- StrengthsFinder 2.0,-- Stillness Is the Key,-- She Said: Breaking the Sexual Harassment Story THIS Helped Ignite a Movement,-- Atomic Habits: An Easy & Proven Way to Build Good Habits & Break Bad Ones,-- Everything Is Figureoutable,-- What It Takes: Lessons in the Pursuit of Excellence,-- Rich Dad Poor Dad: What the Rich Teach Their Kids About Money THIS the Poor and Middle Class Do Not!,-- The Total Money Makeover: Classic Edition: A Proven Plan for Financial Fitness,-- Shut Up and Listen!: Hard Business Truths THIS Will Help You Succeed, ......................................................................................................................... .........................................................................................................................
       Reply 
    Are you sure you want to  Yes  No
    Your message goes here
  • DOWNLOAD THIS BOOKS INTO AVAILABLE FORMAT (2019 Update) ......................................................................................................................... ......................................................................................................................... Download Full PDF EBOOK here { https://soo.gd/irt2 } ......................................................................................................................... Download Full EPUB Ebook here { https://soo.gd/irt2 } ......................................................................................................................... Download Full doc Ebook here { https://soo.gd/irt2 } ......................................................................................................................... Download PDF EBOOK here { https://soo.gd/irt2 } ......................................................................................................................... Download EPUB Ebook here { https://soo.gd/irt2 } ......................................................................................................................... Download doc Ebook here { https://soo.gd/irt2 } ......................................................................................................................... ......................................................................................................................... ................................................................................................................................... eBook is an electronic version of a traditional print book THIS can be read by using a personal computer or by using an eBook reader. (An eBook reader can be a software application for use on a computer such as Microsoft's free Reader application, or a book-sized computer THIS is used solely as a reading device such as Nuvomedia's Rocket eBook.) Users can purchase an eBook on diskette or CD, but the most popular method of getting an eBook is to purchase a downloadable file of the eBook (or other reading material) from a Web site (such as Barnes and Noble) to be read from the user's computer or reading device. Generally, an eBook can be downloaded in five minutes or less ......................................................................................................................... .............. Browse by Genre Available eBooks .............................................................................................................................. Art, Biography, Business, Chick Lit, Children's, Christian, Classics, Comics, Contemporary, Cookbooks, Manga, Memoir, Music, Mystery, Non Fiction, Paranormal, Philosophy, Poetry, Psychology, Religion, Romance, Science, Science Fiction, Self Help, Suspense, Spirituality, Sports, Thriller, Travel, Young Adult, Crime, Ebooks, Fantasy, Fiction, Graphic Novels, Historical Fiction, History, Horror, Humor And Comedy, ......................................................................................................................... ......................................................................................................................... .....BEST SELLER FOR EBOOK RECOMMEND............................................................. ......................................................................................................................... Blowout: Corrupted Democracy, Rogue State Russia, and the Richest, Most Destructive Industry on Earth,-- The Ride of a Lifetime: Lessons Learned from 15 Years as CEO of the Walt Disney Company,-- Call Sign Chaos: Learning to Lead,-- StrengthsFinder 2.0,-- Stillness Is the Key,-- She Said: Breaking the Sexual Harassment Story THIS Helped Ignite a Movement,-- Atomic Habits: An Easy & Proven Way to Build Good Habits & Break Bad Ones,-- Everything Is Figureoutable,-- What It Takes: Lessons in the Pursuit of Excellence,-- Rich Dad Poor Dad: What the Rich Teach Their Kids About Money THIS the Poor and Middle Class Do Not!,-- The Total Money Makeover: Classic Edition: A Proven Plan for Financial Fitness,-- Shut Up and Listen!: Hard Business Truths THIS Will Help You Succeed, ......................................................................................................................... .........................................................................................................................
       Reply 
    Are you sure you want to  Yes  No
    Your message goes here
  • DOWNLOAD THIS BOOKS INTO AVAILABLE FORMAT (2019 Update) ......................................................................................................................... ......................................................................................................................... Download Full PDF EBOOK here { https://soo.gd/irt2 } ......................................................................................................................... Download Full EPUB Ebook here { https://soo.gd/irt2 } ......................................................................................................................... Download Full doc Ebook here { https://soo.gd/irt2 } ......................................................................................................................... Download PDF EBOOK here { https://soo.gd/irt2 } ......................................................................................................................... Download EPUB Ebook here { https://soo.gd/irt2 } ......................................................................................................................... Download doc Ebook here { https://soo.gd/irt2 } ......................................................................................................................... ......................................................................................................................... ................................................................................................................................... eBook is an electronic version of a traditional print book THIS can be read by using a personal computer or by using an eBook reader. (An eBook reader can be a software application for use on a computer such as Microsoft's free Reader application, or a book-sized computer THIS is used solely as a reading device such as Nuvomedia's Rocket eBook.) Users can purchase an eBook on diskette or CD, but the most popular method of getting an eBook is to purchase a downloadable file of the eBook (or other reading material) from a Web site (such as Barnes and Noble) to be read from the user's computer or reading device. Generally, an eBook can be downloaded in five minutes or less ......................................................................................................................... .............. Browse by Genre Available eBooks .............................................................................................................................. Art, Biography, Business, Chick Lit, Children's, Christian, Classics, Comics, Contemporary, Cookbooks, Manga, Memoir, Music, Mystery, Non Fiction, Paranormal, Philosophy, Poetry, Psychology, Religion, Romance, Science, Science Fiction, Self Help, Suspense, Spirituality, Sports, Thriller, Travel, Young Adult, Crime, Ebooks, Fantasy, Fiction, Graphic Novels, Historical Fiction, History, Horror, Humor And Comedy, ......................................................................................................................... ......................................................................................................................... .....BEST SELLER FOR EBOOK RECOMMEND............................................................. ......................................................................................................................... Blowout: Corrupted Democracy, Rogue State Russia, and the Richest, Most Destructive Industry on Earth,-- The Ride of a Lifetime: Lessons Learned from 15 Years as CEO of the Walt Disney Company,-- Call Sign Chaos: Learning to Lead,-- StrengthsFinder 2.0,-- Stillness Is the Key,-- She Said: Breaking the Sexual Harassment Story THIS Helped Ignite a Movement,-- Atomic Habits: An Easy & Proven Way to Build Good Habits & Break Bad Ones,-- Everything Is Figureoutable,-- What It Takes: Lessons in the Pursuit of Excellence,-- Rich Dad Poor Dad: What the Rich Teach Their Kids About Money THIS the Poor and Middle Class Do Not!,-- The Total Money Makeover: Classic Edition: A Proven Plan for Financial Fitness,-- Shut Up and Listen!: Hard Business Truths THIS Will Help You Succeed, ......................................................................................................................... .........................................................................................................................
       Reply 
    Are you sure you want to  Yes  No
    Your message goes here
  • DOWNLOAD THIS BOOKS INTO AVAILABLE FORMAT (2019 Update) ......................................................................................................................... ......................................................................................................................... Download Full PDF EBOOK here { https://soo.gd/irt2 } ......................................................................................................................... Download Full EPUB Ebook here { https://soo.gd/irt2 } ......................................................................................................................... Download Full doc Ebook here { https://soo.gd/irt2 } ......................................................................................................................... Download PDF EBOOK here { https://soo.gd/irt2 } ......................................................................................................................... Download EPUB Ebook here { https://soo.gd/irt2 } ......................................................................................................................... Download doc Ebook here { https://soo.gd/irt2 } ......................................................................................................................... ......................................................................................................................... ................................................................................................................................... eBook is an electronic version of a traditional print book THIS can be read by using a personal computer or by using an eBook reader. (An eBook reader can be a software application for use on a computer such as Microsoft's free Reader application, or a book-sized computer THIS is used solely as a reading device such as Nuvomedia's Rocket eBook.) Users can purchase an eBook on diskette or CD, but the most popular method of getting an eBook is to purchase a downloadable file of the eBook (or other reading material) from a Web site (such as Barnes and Noble) to be read from the user's computer or reading device. Generally, an eBook can be downloaded in five minutes or less ......................................................................................................................... .............. Browse by Genre Available eBooks .............................................................................................................................. Art, Biography, Business, Chick Lit, Children's, Christian, Classics, Comics, Contemporary, Cookbooks, Manga, Memoir, Music, Mystery, Non Fiction, Paranormal, Philosophy, Poetry, Psychology, Religion, Romance, Science, Science Fiction, Self Help, Suspense, Spirituality, Sports, Thriller, Travel, Young Adult, Crime, Ebooks, Fantasy, Fiction, Graphic Novels, Historical Fiction, History, Horror, Humor And Comedy, ......................................................................................................................... ......................................................................................................................... .....BEST SELLER FOR EBOOK RECOMMEND............................................................. ......................................................................................................................... Blowout: Corrupted Democracy, Rogue State Russia, and the Richest, Most Destructive Industry on Earth,-- The Ride of a Lifetime: Lessons Learned from 15 Years as CEO of the Walt Disney Company,-- Call Sign Chaos: Learning to Lead,-- StrengthsFinder 2.0,-- Stillness Is the Key,-- She Said: Breaking the Sexual Harassment Story THIS Helped Ignite a Movement,-- Atomic Habits: An Easy & Proven Way to Build Good Habits & Break Bad Ones,-- Everything Is Figureoutable,-- What It Takes: Lessons in the Pursuit of Excellence,-- Rich Dad Poor Dad: What the Rich Teach Their Kids About Money THIS the Poor and Middle Class Do Not!,-- The Total Money Makeover: Classic Edition: A Proven Plan for Financial Fitness,-- Shut Up and Listen!: Hard Business Truths THIS Will Help You Succeed, ......................................................................................................................... .........................................................................................................................
       Reply 
    Are you sure you want to  Yes  No
    Your message goes here
  • DOWNLOAD FULL BOOKS, INTO AVAILABLE FORMAT ......................................................................................................................... ......................................................................................................................... 1.DOWNLOAD FULL. PDF EBOOK here { https://tinyurl.com/y6a5rkg5 } ......................................................................................................................... 1.DOWNLOAD FULL. EPUB Ebook here { https://tinyurl.com/y6a5rkg5 } ......................................................................................................................... 1.DOWNLOAD FULL. doc Ebook here { https://tinyurl.com/y6a5rkg5 } ......................................................................................................................... 1.DOWNLOAD FULL. PDF EBOOK here { https://tinyurl.com/y6a5rkg5 } ......................................................................................................................... 1.DOWNLOAD FULL. EPUB Ebook here { https://tinyurl.com/y6a5rkg5 } ......................................................................................................................... 1.DOWNLOAD FULL. doc Ebook here { https://tinyurl.com/y6a5rkg5 } ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... .............. Browse by Genre Available eBooks ......................................................................................................................... Art, Biography, Business, Chick Lit, Children's, Christian, Classics, Comics, Contemporary, Cookbooks, Crime, Ebooks, Fantasy, Fiction, Graphic Novels, Historical Fiction, History, Horror, Humor And Comedy, Manga, Memoir, Music, Mystery, Non Fiction, Paranormal, Philosophy, Poetry, Psychology, Religion, Romance, Science, Science Fiction, Self Help, Suspense, Spirituality, Sports, Thriller, Travel, Young Adult,
       Reply 
    Are you sure you want to  Yes  No
    Your message goes here

Engineering Graphics - Projection of points and lines

  1. 1. Projection of Points • There are basically nine type of projections of point is space : 1. In FIRST Quadrant (Above H.P. , In front of V.P.) 2. In SECOND Quadrant (Above H.P. , Behind V.P.) 3. In THIRD Quadrant (Below H.P. , Behind V.P.) 4. In FOURTH Quadrant (Below H.P. , In front of V.P.) 5. In PLANE (On V.P. , Above H.P.) 6. In PLANE (On H.P. , Behind V.P.) 7. In PLANE (On V.P. , Below H.P.) 8. In PLANE (On H.P. In front of V.P.) 9. In PLANE (On both H.P. & V.P.)
  2. 2. V.P. H.P. . . . . X Y . X Y a1’ A1 a1 a1’ a1 X Y A1- Point a1’- F.V. a1 - T.V. (3D) (2D) Position 1 In 3D In 2D Above H.P. Front View Above Reference Line In front of V.P. Top View Below Reference Line
  3. 3. H.P. A2- Point a2’- F.V. Y a2 - T.V. V.P. A2 . . a2’ . . . (3D) X (2D) X Y a2 a2 a2’ In 3D In 2D Above H.P. Front View Above Reference Line Behind V.P. Top View Above Reference Line X Y Position 2
  4. 4. a3 X A3- Point a3’- F.V. a3- T.V. (3D) A3 a3’ X Y .a3 . a3’ Y X Y (2D) . . . Position 3 In 3D In 2D Below H.P. Front View Below Reference Line Behind V.P. Top View Above Reference Line
  5. 5. A4- Point a4’- F.V. a4- T.V. .a4 A4 a4’ a4 . . a4’ X Y (3D) X Y X Y . (2D) . Position 4 In 3D In 2D Below H.P. Front View Below Reference Line In front of V.P. Top View Below Reference Line
  6. 6. A5- Point a5’- F.V. a5 - T.V. H.P. H.P. V.P. . . . . Y X a5’ A5 a5 Aa’ 5 5a X 5 Y X Y (3D) (2D) Position 5 In 3D In 2D Above H.P. Front View Above Reference Line On V.P. Top View On Reference Line
  7. 7. . X Y X Y A6 a6 a6’ X Y .a6’ (2D) a6 . A6 (3D) . A6- Point a6’- F.V. a6- T.V. Position 6 In 3D In 2D Below H.P. Front View Below Reference Line On V.P. Top View On Reference Line
  8. 8. A7 Point a7 - T.V. X Y A7 . . A7 a7 a7’ X Y Y (3D) X (2D) . . a7’- F.V. a7’ a7 Position 7 In 3D In 2D On H.P. Front View On Reference Line In Front of V.P. Top View Below Reference Line
  9. 9. Y A8 . . A8- Point a8’- F.V. a8 - T.V. Y X X A8 a8 a8’ (3D) (2D) a8 . .a8’ X Y Position 8 In 3D In 2D On H.P. Front View On Reference Line Behind V.P. Top View Above Reference Line
  10. 10. V.P. A9- Point a9 Y - T.V. (3D) H.P. (2D) X Y . A9 a9 X Y X a9’ a9’- F.V. .a9’ aA 9 9 Position 9 In 3D In 2D On H.P. Front View On Reference Line On V.P. Top View On Reference Line
  11. 11. Projection Of Lines • A straight line is the shortest distance between two points. • Top views of two end points of a straight line, when joined, give the top view of the straight line. • Front views of the two end points of a straight line, when joined, give the front view of the straight line. • Both the above projections are straight lines.
  12. 12. Notations for : Projection Of Lines • True length of the line: Denoted by Capital letters. e.g. AB=100 mm, means that true length of the line is 100 mm. • Front View Length: Denoted by small letters. e.g. a’b’=70 mm, means that Front View Length is 70 mm. • Top View Length: Denoted by small letters. e.g. ab=80 mm, means that Top View Length is 80 mm. • Inclination of True Length of Line with H.P.: It is denoted by θ. e.g. Inclination of the line with H.P. (or Ground) is given as 30º means that θ = 30º.
  13. 13. Notations for : Projection Of Lines • Inclination of True Length of Line with V.P.: It is denoted by Φ. e.g. Inclination of the line with V.P. is given as 40º means that Φ = 40º. • Inclination of Front View Length with XY : It is denoted by α. e.g. Inclination of the Front View of the line with XY is given as 50º means that α = 50º. • Inclination of Top View Length with XY : It is denoted by β. e.g. Inclination of the Top View of the line with XY is given as 30º means that β = 30º. • End Projector Distance: It is the distance between two projectors passing through end points of F.V. & T.V. measured parallel to XY line.
  14. 14. Projection Of Lines There are cases of projections of line :- 1.Line Parallel to two Planes and Perpendicular to the third plane. 2.Line Inclined to one Plane and Parallel to another 3.Line Inclined to both the Planes.
  15. 15. Position 1: Parallel to two planes & perpendicular to the other In 3D In 2D Parallel to H.P. Front View – Parallel line to reference line Parallel to V.P. Top View – Parallel Line to reference line Perpendicular to P.P. Side View – Point on the side of front view V.P. a’ Fv b’ X Y a b H.P. TV Y a” P.P. . H.P. V.P. Y X B A a’ b’ b a b” z x P.P. a’’ b’’
  16. 16. Position 1: Parallel to one plane and inclined to the other In 3D In 2D Inclined to H.P. Front View – Line inclined by to reference line Parallel to V.P. Top View – Parallel Line to reference line X Y V.P. A B b’ a’ b a q q F.V. T.V. V.P. a’ b’ q X Y H.P. F.V. T.V. a b True Length q
  17. 17. H.P. V.P. X Y a b a’ b’   Y X B A a V.P. X Y b a H.P. b FV TV a’ b’ Position 1: Inclined to both the planes In 3D In 2D Inclined to H.P. Front View – Line inclined by to reference line Parallel to V.P. Top View – Line inclined by to reference line a b
  18. 18. Problem 1 : A line PJ, 50 mm long is perpendicular to H.P. & t is below H.P. Point P is on H.P. & 30 mm behind V.P. Draw projections of line PJ. 50 30 pj j’ p’ 50 50 30 pj 30 p’ j’ X Y
  19. 19. Problem 2 :A line MJ, 35 mm long, is perpendicular to the profile plane. The end M is 20 mm below H.P., 30 mm behind V.P. Draw projections on H.P. & V.P. 35 j m 30 X Y 20 j’ 35 m’ 35 30 20 m’ j’ j m
  20. 20. Problem 3 : A line KP, 70 mm long, is parallel to H.P. & inclined to V.P. by 60O . Point P is 20 mm above H.P. and 30 mm in front of V.P. Point K is behind V.P. Draw to projection of line KP. k k’ p’ X Y p 20 70 60
  21. 21. 25 15 Problem 4 : A Line AB, 90 mm long, is inclined to H.P. by 30° and inclined to V.P. by 45º. The line is in first quadrant with Point A 15 mm above H.P. and 25 mm in front of V.P. Draw the projection of line AB. Φ α β .. a’ a b’ b1’ X Y b b2 θ Locus of b’ Locus of b Data Given :- (1) T.L.=90 mm (2) Θ =30° (3) Φ =45° (4) Point A 15 above H.P. 25 mm in Front of V.P. F.V. T.V. Answers :- (1) F.V.= 64 mm (2) T.V = 78 mm (3)  = 45° (4)  = 55° T.L.= 90 b2’ b1 ..

×