TA 101 Think and Analyze Anupam Saxena Associate

TA 101 Think and Analyze Anupam Saxena Associate Professor Mechanical Engineering Compliant and Robotic Systems Lab Indian Institute of Technology Kanpur

Axonometric Views Isometric views

Organization of Lectures and Laboratory Assignments Topic Week (No. of Lectures) Lab Intro and Basic Constructions Week 1 (2) Orthographic Projections Week 2 (2) Lab 1 Orthographic Projections Week 3 (2) Lab 2 Isometric Projections Week 4 (2) Lab 3 Missing Views Week 5 (2) Lab 4 Sectional and Assembly Week 6 (2) Lab 5 Oblique Projections Week 7 (2) Lab 6 Perspective Projections Week 8 (2) Lab 7 Lines and Planes Week 9 (2) Lab 8 Lines and Planes Week 10 (2) Lab 9 Auxiliary Projections Week 11 (2) Lab 10 Intersection of lines/planes/solids Week 12 (2) Lab 11 Intersection and Development Week 13 (2) Lab 12 TOTAL 26 12

Unit cube Rotation about ‘z’, then about ‘x’ and then projection on the y-z plane z R (0, 0, 1) P O Q(0, 1, 0) (1, 0, 0) x |OR| = |OQ| and |OR| = |OP| gives ANUPAM SAXENA TA 101 LECTURE VIII ISOMETRIC PROJECTION

Unit cube Rotation about ‘z’, then about ‘x’ and then projection on the y-z plane z Z R (0, 0, 1) P O Q(0, 1, 0) X Y x (1, 0, 0) 30 deg O foreshortening happens by ANUPAM SAXENA TA 101 LECTURE VIII ISOMETRIC PROJECTION

Unit cube Rotation about ‘z’, then about ‘x’ and then projection on the y-z plane z Z R (0, 0, 1) P O Q(0, 1, 0) X Y x (1, 0, 0) 30 deg O foreshortening happens by ANUPAM SAXENA TA 101 LECTURE VIII ISOMETRIC PROJECTION

10 40 30 45 20 40 ANUPAM SAXENA TA 101 LECTURE VII ISOMETRIC VIEW

10 40 30 Not Unique: Choose the orientation NO HIDDEN LINES: ALL LINES ARE SOLID BE CAREFUL WITH VISIBLE/INVISIBLE LINES 45 20 40 ISOMETRIC VIEWS ARE “REALISTIC” WE SHOW WHAT WE SEE ! ANUPAM SAXENA TA 101 LECTURE VII ISOMETRIC VIEW: SCALE 1: 0. 67

TA: What happens to the shape of a circle on the x-y plane ? X = a + rcos Y = b + rsin Z=0 y x z R Ellipse on the ‘isometric Xn-Zn’ plane Q O P x ANUPAM SAXENA TA 101 LECTURE VIII ISOMETRIC PROJECTION

TA: What happens to the shape of a circle on the y-z plane ? X=0 Y = a + rcos Z = b + rsin z y z R Q O P x Ellipse on the ‘isometric Xn-Zn’ plane ANUPAM SAXENA TA 101 LECTURE VIII ISOMETRIC PROJECTION

TA: What happens to the shape of a circle on the x-z plane ? X = a + rcos Y=0 Z = b + rsin z x z R Q O P x Ellipse on the ‘isometric Xn-Zn’ plane ANUPAM SAXENA TA 101 LECTURE VIII ISOMETRIC PROJECTION

10 60 60 30 40 40 ANUPAM SAXENA TA 101 LECTURE VIII ISOMETRIC PROJECTION: EXAMPLE WITH ELLIPSES

60 10 Z Y 60 30 40 10 30 Z 40 40 X X Y ANUPAM SAXENA TA 101 LECTURE VIII ISOMETRIC PROJECTION: SCALE 1: 1

60 10 Z Y 60 30 40 10 30 Z 40 40 X X TA: TRICK ! SAVES A LOT OF TIME Y ANUPAM SAXENA TA 101 LECTURE VIII ISOMETRIC PROJECTION: SCALE 1: 1

keep Thinking and Analyzing Until next time. . .