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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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Axonometric Views Isometric views

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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

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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

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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

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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

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

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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 !

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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

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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

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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

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60 40 10 40 3030 30 ANUPAM SAXENA TA101 LECTURE VIII ISOMETRIC PROJECTION: EXAMPLE WITH ELLIPSES

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ANUPAM SAXENA TA101 LECTURE VIII ISOMETRIC PROJECTION: SCALE 1:1 60 40 10 40 3030 30 10 X Y Z Z Y X

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ANUPAM SAXENA TA101 LECTURE VIII ISOMETRIC PROJECTION: SCALE 1:1 60 40 10 40 3030 30 10 TA: TRICK ! SAVES A LOT OF TIME X Y Z Z Y X

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

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