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

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Presentation on theme: "TA 101 T hink and A nalyze Anupam Saxena Associate Professor Mechanical Engineering Compliant and Robotic Systems Lab Indian Institute of Technology Kanpur."— Presentation transcript:

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

8 ANUPAM SAXENA TA101 LECTURE VII ISOMETRIC VIEW: SCALE 1:  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 3030 30 ANUPAM SAXENA TA101 LECTURE VIII ISOMETRIC PROJECTION: EXAMPLE WITH ELLIPSES

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

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

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


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