Upcoming SlideShare
×

# Isometric projections

17,606
-1

Published on

Download the original presentation for animation and clear understanding. This Presentation describes the concepts of Engineering Drawing of VTU Syllabus. However same can also be used for learning drawing concepts. Please write to me for suggestions and criticisms here: hareeshang@gmail.com or visit this website for more details: www.hareeshang.wikifoundry.com.

1 Comment
14 Likes
Statistics
Notes
• Full Name
Comment goes here.

Are you sure you want to Yes No
• Dear Viewers,

Are you sure you want to  Yes  No
Views
Total Views
17,606
On Slideshare
0
From Embeds
0
Number of Embeds
4
Actions
Shares
0
682
1
Likes
14
Embeds 0
No embeds

No notes for slide

### Isometric projections

1. 1. Isometric Projections Hareesha N G Dept of Aeronautical Engg Dayananda Sagar College of Engg Bangalore-78 01/28/14 Hareesha N G, DSCE, Bengaluru 1
2. 2. ISOMETRIC DRAWING IT IS A TYPE OF PICTORIAL PROJECTION IN WHICH ALL THREE DIMENSIONS OF AN OBJECT ARE SHOWN IN ONE VIEW AND IF REQUIRED, THEIR ACTUAL SIZES CAN BE MEASURED DIRECTLY FROM IT. 3-D DRAWINGS CAN BE DRAWN IN NUMEROUS WAYS AS SHOWN BELOW. ALL THESE DRAWINGS MAY BE CALLED 3-DIMENSIONAL DRAWINGS, OR PHOTOGRAPHIC OR PICTORIAL DRAWINGS. HERE NO SPECIFIC RELATION AMONG H, L & D AXES IS MENTAINED. TYPICAL CONDITION. IN THIS 3-D DRAWING OF AN OBJECT, ALL THREE DIMENSIONAL AXES ARE MENTAINED AT EQUAL INCLINATIONS WITH EACH OTHER.( 1200) NOW OBSERVE BELOW GIVEN DRAWINGS. ONE CAN NOTE SPECIFIC INCLINATION AMONG H, L & D AXES. ISO MEANS SAME, SIMILAR OR EQUAL. HERE ONE CAN FIND EDUAL INCLINATION AMONG H, L & D AXES. EACH IS 1200 INCLINED WITH OTHER TWO. HENCE IT IS CALLED ISOMETRIC DRAWING L H 01/28/14 H H Hareesha N G, DSCE, Bengaluru 2 PURPOSE OF ISOMETRIC DRAWING IS TO UNDERSTAND OVERALL SHAPE, SIZE & APPEARANCE OF AN OBJECT PRIOR TO IT’S PRODUCTION.
3. 3. SOME IMPORTANT TERMS: ISOMETRIC AXES, LINES AND PLANES: The three lines AL, AD and AH, meeting at point A and making 1200 angles with each other are termed Isometric Axes. The lines parallel to these axes are called Isometric Lines. A The planes representing the faces of of the cube as well as other planes parallel to these planes are called Isometric Planes. ISOMETRIC SCALE: When one holds the object in such a way that all three dimensions are visible then in the process all dimensions become proportionally inclined to observer’s eye sight and hence appear apparent in lengths. H This reduction is 0.815 or 9 / 11 ( approx.) It forms a reducing scale which Is used to draw isometric drawings and is called Isometric scale. In practice, while drawing isometric projection, it is necessary to convert true lengths into isometric lengths for measuring and marking the sizes. This is conveniently done by constructing an isometric scale as described on next page. 01/28/14 Hareesha N G, DSCE, Bengaluru 3
4. 4. TYPES OF ISOMETRIC DRAWINGS ISOMETRIC VIEW ISOMETRIC PROJECTION Drawn by using True scale ( True dimensions ) Drawn by using Isometric scale ( Reduced dimensions ) D 4 3 H E RU T 1 . 1 ISOM 0 0 G EN L S TH 2 300 C 4 3 2 TH S NG LE 450 A 01/28/14 H B Isometric scale [ Line AC ] requiredHareesha N G, Projection for Isometric DSCE, Bengaluru CONSTRUCTION OF ISOM.SCALE. From point A, with line AB draw 30 0 and 450 inclined lines AC & AD resp on AD. Mark divisions of true length and from each division-point draw vertical lines upto AC line. The divisions thus obtained on AC 4 give lengths on isometric scale.
5. 5. 1 AS THESE ALL ARE 2-D FIGURES WE REQUIRE ONLY TWO ISOMETRIC AXES. D H RECTANGLE A D D L A L C D C A B C B B B IF THE FIGURE IS FRONT VIEW, H & L 1 AXES ARE REQUIRED. H TRIANGLE B IF THE FIGURE IS TOP VIEW, D & L AXES ARE REQUIRED. 2 Shapes containing Inclined lines should be enclosed in a rectangle as shown. Then first draw isom. of that rectangle and then inscribe that 01/28/14 shape as it is. Isometric view if the Shape is F.V. or T.V. SHAPE ISOMETRIC OF PLANE FIGURES 3 1 A 3 A B L 3 L A D 1 2 2 4 H PENTAGON E 1 4 D A E 1 D B D E A D C 2 4 B Hareesha 3 G, DSCE, Bengaluru N C 2 3 L 1 C A 2 B 5 L 3
6. 6. STUDY Z ILLUSTRATIONS 2 DRAW ISOMETRIC VIEW OF A CIRCLE IF IT IS A TV OR FV. B FIRST ENCLOSE IT IN A SQUARE. IT’S ISOMETRIC IS A RHOMBUS WITH D & L AXES FOR TOP VIEW. THEN USE H & L AXES FOR ISOMETRIC WHEN IT IS FRONT VIEW. FOR CONSTRUCTION USE RHOMBUS METHOD SHOWN HERE. STUDY IT. 4 C 2 2 C D 01/28/14 1 Hareesha N G, DSCE, Bengaluru D 1 A 4 3 3 B A 6
7. 7. 3 STUDY Z ILLUSTRATIONS 25 R DRAW ISOMETRIC VIEW OF THE FIGURE SHOWN WITH DIMENTIONS (ON RIGHT SIDE) CONSIDERING IT FIRST AS F.V. AND THEN T.V. 50 MM IF FRONT VIEW 100 MM IF TOP VIEW 01/28/14 Hareesha N G, DSCE, Bengaluru 7
8. 8. ISOMETRIC OF PLANE FIGURES AS THESE ALL ARE 2-D FIGURES WE REQUIRE ONLY TWO ISOMETRIC AXES. SHAPE IF F.V. IF T.V. 4 HEXAGON CIRCLE IF THE FIGURE IS FRONT VIEW, H & L AXES ARE REQUIRED. IF THE FIGURE IS For Isometric of Circle/Semicircle use Rhombus method. Construct Rhombus TOP VIEW, D & L of sides equal to Diameter of circle always. ( Ref. topic ENGG. CURVES.) AXES ARE SEMI CIRCLE REQUIRED. For Isometric of Circle/Semicircle use Rhombus method. Construct it of sides equal to diameter of circle always. 01/28/14 Hareesha N G, DSCE, Bengaluru 8 ( Ref. Previous two pages.)
9. 9. 5 STUDY Z ILLUSTRATIONS ISOMETRIC VIEW OF PENTAGONAL PYRAMID STANDING ON H.P. (Height is added from center of pentagon) ISOMETRIC VIEW OF BASE OF PENTAGONAL PYRAMID STANDING ON H.P. 4 4 D E D L 3 1 C A 2 B D E D L 1 3 C A B 2 01/28/14 Hareesha N G, DSCE, Bengaluru 9
10. 10. 6 STUDY Z ILLUSTRATIONS ISOMETRIC VIEW OF PENTAGONALL PRISM LYING ON H.P. 4 H E 1 D A L C ISOMETRIC VIEW OF HEXAGONAL PRISM STANDING ON H.P. 01/28/14 Hareesha N G, DSCE, Bengaluru 2 B 10 3
11. 11. 7 STUDY Z ILLUSTRATIONS CYLINDER STANDING ON H.P. CYLINDER LYING ON H.P. 01/28/14 Hareesha N G, DSCE, Bengaluru 11
12. 12. 8 STUDY Z ILLUSTRATIONS HALF CYLINDER STANDING ON H.P. ( ON IT’S SEMICIRCULAR BASE) HALF CYLINDER LYING ON H.P. ( with flat face // to H.P.) 01/28/14 Hareesha N G, DSCE, Bengaluru 12
13. 13. STUDY Z ILLUSTRATIONS ISOMETRIC VIEW OF A FRUSTOM OF SQUARE PYRAMID STANDING ON H.P. ON IT’S LARGER BASE. 60 FV X 40 Y 20 TV 01/28/14 Hareesha N G, DSCE, Bengaluru 13 9
14. 14. STUDY ILLUSTRATION 10 PROJECTIONS OF FRUSTOM OF PENTAGONAL PYRAMID ARE GIVEN. DRAW IT’S ISOMETRIC VIEW. SOLUTION STEPS: FIRST DRAW ISOMETRIC OF IT’S BASE. y x 1 4 THEN DRAWSAME SHAPE AS TOP, 60 MM ABOVE THE BASE PENTAGON CENTER. D E THEN REDUCE THE TOP TO 20 MM SIDES AND JOIN WITH THE PROPER BASE CORNERS. A TV 40 20 40 B 2 C 01/28/14 60 20 60 FV ISOMETRIC VIEW OF FRUSTOM OF PENTAGONAL PYRAMID 3 Hareesha N G, DSCE, Bengaluru 14
15. 15. ISOMETRIC VIEW OF 11 A FRUSTOM OF CONE STANDING ON H.P. ON IT’S LARGER BASE. STUDY Z ILLUSTRATIONS 60 FV X 40 Y 20 TV 01/28/14 Hareesha N G, DSCE, Bengaluru 15
16. 16. STUDY Z ILLUSTRATIONS PROBLEM: A SQUARE PYRAMID OF 30 MM BASE SIDES AND 50 MM LONG AXIS, IS CENTRALLY PLACED ON THE TOP OF A CUBE OF 50 MM LONG EDGES.DRAW ISOMETRIC VIEW OF THE PAIR. 30 50 50 01/28/14 Hareesha N G, DSCE, Bengaluru 16 12
17. 17. 13 STUDY Z ILLUSTRATIONS PROBLEM: A TRIANGULAR PYRAMID OF 30 MM BASE SIDES AND 50 MM LONG AXIS, IS CENTRALLY PLACED ON THE TOP OF A CUBE OF 50 MM LONG EDGES. DRAW ISOMETRIC VIEW OF THE PAIR. c a p o b a p o c b SOLUTION HINTS. TO DRAW ISOMETRIC OF A CUBE IS SIMPLE. DRAW IT AS USUAL. BUT FOR PYRAMID AS IT’S BASE IS AN EQUILATERAL TRIANGLE, IT CAN NOT BE DRAWN DIRECTLY.SUPPORT OF IT’S TV IS REQUIRED. 01/28/14 SO DRAW TRIANGLE AS A TV, SEPARATELY AND NAME VARIOUS POINTS AS SHOWN. AFTER THIS PLACE IT ON THE TOP OF CUBE AS SHOWN. THEN ADD HEIGHT FROM IT’S CENTER AND COMPLETE IT’S ISOMETRIC AS SHOWN. Hareesha N G, DSCE, Bengaluru 17
18. 18. STUDY Z ILLUSTRATIONS FV PROBLEM: A SQUARE PLATE IS PIERCED THROUGH CENTRALLY BY A CYLINDER WHICH COMES OUT EQUALLY FROM BOTH FACES OF PLATE. IT’S FV & TV ARE SHOWN. DRAW ISOMETRIC VIEW. 30 10 30 30 D 50 + 50 TV 01/28/14 Hareesha N G, DSCE, Bengaluru 18 14
19. 19. 15 STUDY Z ILLUSTRATIONS FV PROBLEM: A CIRCULAR PLATE IS PIERCED THROUGH CENTRALLY BY A SQUARE PYRAMID WHICH COMES OUT EQUALLY FROM BOTH FACES OF PLATE. IT’S FV & TV ARE SHOWN. DRAW ISOMETRIC VIEW. 30 10 30 40 SQUARE TV 60 D 01/28/14 Hareesha N G, DSCE, Bengaluru 19
20. 20. 16 STUDY Z ILLUSTRATIONS F.V. & T.V. of an object are given. Draw it’s isometric view. 10 20 40 FV 40 X Y TV 50 D 30 D 01/28/14 Hareesha N G, DSCE, Bengaluru 20
21. 21. Z 17 ISOMETRIC PROJECTIONS OF SPHERE & HEMISPHERE r 300 Isom. Scale r r r C R R r P TO DRAW ISOMETRIC PROJECTION OF A HEMISPHERE P C = Center of Sphere. P = Point of contact R = True Radius of Sphere r = Isometric Radius. TO DRAW ISOMETRIC PROJECTION OF A SPHERE 01/28/14 r R P C R r Is oDi re 450 R ct io n STUDY ILLUSTRATIONS 1. FIRST DRAW ISOMETRIC OF SQUARE PLATE. 2. LOCATE IT’S CENTER. NAME IT P. 3. FROM PDRAW VERTICAL LINE UPWARD, LENGTH ‘ r mm’ AND LOCATE CENTER OF SPHERE “C” 4. ‘C’ AS CENTER, WITH RADIUS ‘R’ Bengaluru Hareesha N G, DSCE, DRAW CIRCLE. THIS IS ISOMETRIC PROJECTION OF A SPHERE. Adopt same procedure. Draw lower semicircle only. Then around ‘C’ construct Rhombus of Sides equal to Isometric Diameter. For this use iso-scale. Then construct ellipse in this Rhombus as usual And Complete Isometric-Projection of Hemi-sphere. 21
22. 22. 18 PROBLEM: A HEMI-SPHERE IS CENTRALLY PLACED ON THE TOP OF A FRUSTOM OF CONE. DRAW ISOMETRIC PROJECTIONS OF THE ASSEMBLY. STUDY ILLUSTRATIONS Z r 50 D r R 30 D r 50 P 50 D FIRST CONSTRUCT ISOMETRIC SCALE. USE THIS SCALE FOR ALL DIMENSIONS IN THIS PROBLEM. 450 R r 01/28/14 300 Hareesha N G, DSCE, Bengaluru 22
23. 23. STUDY Z ILLUSTRATIONS 19 A SQUARE PYRAMID OF 40 MM BASE SIDES AND 60 MM AXIS IS CUT BY AN INCLINED SECTION PLANE THROUGH THE MID POINT OF AXIS AS SHOWN.DRAW ISOMETRIC VIEW OF SECTION OF PYRAMID. 3’ 4’ 4 1’2’ 3 X Y a 1 2 4 o b 01/28/14 d 1 Hareesha N G, DSCE, Bengaluru 2 3 c 23
24. 24. 20 STUDY Z ILLUSTRATIONS F.V. & T.V. of an object are given. Draw it’s isometric view. 50 X O Y 20 25 O 01/28/14 25 Hareesha N G, DSCE, Bengaluru 20 24
25. 25. 21 STUDY Z ILLUSTRATIONS F.V. & T.V. of an object are given. Draw it’s isometric view. 35 FV 35 x 10 O 20 10 30 40 70 TV O 01/28/14 Hareesha N G, DSCE, Bengaluru 25 y
26. 26. STUDY Z ILLUSTRATIONS 24 F.V. & T.V. and S.V.of an object are given. Draw it’s isometric view. ALL VIEWS IDENTICAL FV SV y x 10 40 40 60 TV 60 01/28/14 Hareesha N G, DSCE, Bengaluru 26
27. 27. STUDY Z ILLUSTRATIONS F.V. & T.V. and S.V.of an object are given. Draw it’s isometric view. ALL VIEWS IDENTICAL FV SV y x 10 40 40 60 TV 60 01/28/14 25 Hareesha N G, DSCE, Bengaluru 27
28. 28. 26 F.V. & T.V. and S.V.of an object are given. Draw it’s isometric view. STUDY Z ILLUSTRATIONS ORTHOGRAPHIC PROJECTIONS FRONT VIEW L.H.SIDE VIEW 20 20 x 20 O y 50 20 30 20 20 O 20 TOP VIEW 01/28/14 Hareesha N G, DSCE, Bengaluru 28
29. 29. 27 STUDY Z ILLUSTRATIONS F.V. and S.V.of an object are given. Draw it’s isometric view. 30 SQUARE 40 20 50 20 10 O 30 F.V. 60 S.V. O 01/28/14 Hareesha N G, DSCE, Bengaluru 29
30. 30. 28 STUDY Z ILLUSTRATIONS F.V. & T.V. of an object are given. Draw it’s isometric view. FV 40 O 10 45 30 D 10 50 O 80 TV 01/28/14 Hareesha N G, DSCE, Bengaluru 30
31. 31. STUDY Z ILLUSTRATIONS 40 FV O X 29 F.V. & T.V. of an object are given. Draw it’s isometric view. 10 Y 100 10 25 TV 10 30 10 25 O 30 R 20 D 01/28/14 Hareesha N G, DSCE, Bengaluru 31
32. 32. STUDY Z ILLUSTRATIONS 30 F.V. & T.V. of an object are given. Draw it’s isometric view. 30 FV RECT. SLOT 10 50 35 10 X O Y 20 D TV 60 D 30 D 01/28/14 O Hareesha N G, DSCE, Bengaluru 32
33. 33. 31 STUDY Z ILLUSTRATIONS F.V. and S.V.of an object are given. Draw it’s isometric view. 10 25 15 25 40 10 25 25 O O 80 F.V. 01/28/14 Hareesha N G, DSCE, Bengaluru 25 S.V. 33
34. 34. STUDY Z ILLUSTRATIONS 32 F.V. & T.V. of an object are given. Draw it’s isometric view. 450 30 FV 40 X Y O 30 D TV 40 01/28/14 O 40 Hareesha N G, DSCE, Bengaluru 15 34
35. 35. 33 STUDY Z ILLUSTRATIONS F.V. and S.V.of an object are given. Draw it’s isometric view. HEX PART 30 20 20 40 O 50 20 15 O 100 01/28/14 20 Hareesha N G, DSCE, Bengaluru 30 60 35
36. 36. STUDY Z ILLUSTRATIONS 34 F.V. & T.V. of an object are given. Draw it’s isometric view. 40 20 F.V. 30 10 X Y O 10 30 10 30 O 80 T.V. 01/28/14 Hareesha N G, DSCE, Bengaluru 36
37. 37. F.V. and S.V.of an object are given. Draw it’s isometric view. 10 10 35 STUDY Z ILLUSTRATIONS 15 25 25 X Y O 50 FV 10 LSV 36 NOTE THE SMALL CHZNGE IN 2ND FV & SV. DRAW ISOMETRIC ACCORDINGLY. 10 X O Y FV 01/28/14 LSV Hareesha N G, DSCE, Bengaluru 37
38. 38. 37 STUDY Z ILLUSTRATIONS F.V. and S.V.of an object are given. Draw it’s isometric view. 30 10 20 20 15 10 15 O 30 15 X 01/28/14 O 15 Y 50 F.V. Hareesha N G, DSCE, Bengaluru LEFT S.V. 38
39. 39. 38 STUDY Z ILLUSTRATIONS F.V. and S.V.of an object are given. Draw it’s isometric view. 30 10 60 O 30 O 40 F.V. 01/28/14 40 S.V. Hareesha N G, DSCE, Bengaluru 39
1. #### A particular slide catching your eye?

Clipping is a handy way to collect important slides you want to go back to later.