1. TA 101 T hink and A nalyze Anupam Saxena Associate Professor Mechanical Engineering Compliant and Robotic Systems Lab Indian Institute of Technology Kanpur

2. Axonometric Views Isometric views

3. Organization of Lectures and Laboratory Assignments TopicWeek (No. of Lectures)Lab Intro and Basic ConstructionsWeek 1 (2) Orthographic ProjectionsWeek 2 (2)Lab 1 Orthographic ProjectionsWeek 3 (2)Lab 2 Isometric ProjectionsWeek 4 (2)Lab 3 Missing ViewsWeek 5 (2)Lab 4 Sectional and AssemblyWeek 6 (2)Lab 5 Oblique ProjectionsWeek 7 (2)Lab 6 Perspective ProjectionsWeek 8 (2)Lab 7 Lines and PlanesWeek 9 (2)Lab 8 Lines and PlanesWeek 10 (2)Lab 9 Auxiliary ProjectionsWeek 11 (2)Lab 10 Intersection of lines/planes/solids Week 12 (2)Lab 11 Intersection and DevelopmentWeek 13 (2)Lab 12 TOTAL2612

4. ANUPAM SAXENA TA101 LECTURE VIII ISOMETRIC PROJECTION Unit cube x z   O (1, 0, 0) P R (0, 0, 1) Q(0, 1, 0)  Rotation about ‘z’, then about ‘x’ and then projection on the y-z plane  |OR| = |OQ| and |OR| = |OP| gives

5. Unit cube x z   O (1, 0, 0) P R (0, 0, 1) Q(0, 1, 0)  Rotation about ‘z’, then about ‘x’ and then projection on the y-z plane X Y Z O 30 deg  foreshortening happens by ANUPAM SAXENA TA101 LECTURE VIII ISOMETRIC PROJECTION

6. Unit cube x z   O (1, 0, 0) P R (0, 0, 1) Q(0, 1, 0)  Rotation about ‘z’, then about ‘x’ and then projection on the y-z plane X Y Z O 30 deg  foreshortening happens by ANUPAM SAXENA TA101 LECTURE VIII ISOMETRIC PROJECTION

7. ANUPAM SAXENA TA101 LECTURE VII ISOMETRIC VIEW 20 40 30 45 40 10

8. ANUPAM SAXENA TA101 LECTURE VII ISOMETRIC VIEW: SCALE 1:0.67 20 40 30 45 40 10  Not Unique: Choose the orientation  NO HIDDEN LINES: ALL LINES ARE SOLID  BE CAREFUL WITH VISIBLE/INVISIBLE LINES  ISOMETRIC VIEWS ARE “REALISTIC” WE SHOW WHAT WE SEE !

9. TA: What happens to the shape of a circle on the x-y plane ? x y X = a + rcos  Y = b + rsin  Z = 0 Ellipse on the ‘isometric Xn-Zn’ plane ANUPAM SAXENA TA101 LECTURE VIII ISOMETRIC PROJECTION x z O P R Q

10. TA: What happens to the shape of a circle on the y-z plane ? y z X = 0 Y = a + rcos  Z = b + rsin  Ellipse on the ‘isometric Xn-Zn’ plane ANUPAM SAXENA TA101 LECTURE VIII ISOMETRIC PROJECTION x z O P R Q

11. TA: What happens to the shape of a circle on the x-z plane ? x z X = a + rcos  Y = 0 Z = b + rsin  Ellipse on the ‘isometric Xn-Zn’ plane ANUPAM SAXENA TA101 LECTURE VIII ISOMETRIC PROJECTION x z O P R Q

12. 60 40 10 40 3030 30 ANUPAM SAXENA TA101 LECTURE VIII ISOMETRIC PROJECTION: EXAMPLE WITH ELLIPSES

13. ANUPAM SAXENA TA101 LECTURE VIII ISOMETRIC PROJECTION: SCALE 1:1 60 40 10 40 3030 30 10 X Y Z Z Y X

14. ANUPAM SAXENA TA101 LECTURE VIII ISOMETRIC PROJECTION: SCALE 1:1 60 40 10 40 3030 30 10 TA: TRICK ! SAVES A LOT OF TIME X Y Z Z Y X

15. keep T hinking and A nalyzing Until next time...