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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 Development of Surfaces Developable/Right angled surfaces

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 (1)Lab 6 Perspective ProjectionsWeek 8 (3)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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5 TA: CERTAIN DEVELOPMENTS ARE EXACT TA: OTHERS ARE APPROXIMATE TRUE LENGTHS

6 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 TL1 TL2 1 2 3 4 5 6 7 8 TL1 1 2 3 4 5 6 7 8 1 TA: FORMING AN OCTAGONAL PYRAMID FROM A SINGLE PIECE OF PAPER TA: INFO GOOD ENOUGH TO TRANSFER ON PAPER ?

7 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 TL1 TL2 1 2 3 4 5 6 7 8 TL1 1 2 3 4 5 6 7 8 1 TA: WHAT IF THE PYRAMID IS TRUNCATED? TA: KNOW WHERE THE INTERSECTION POINTS ARE? TA: INTERSECTION POINTS ON 4, 8?

8 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 TL1 TL2 1 2 3 4 5 6 7 8 TL1 1 2 3 4 5 6 7 8 1 a b c d e a b c e b c d d a b c e b c d d e a c c TA:ALWAYS LABEL THE POINTS TA: IT IS THE TRUE LENGTHS THAT GET MARKED ON THE PAPER TA: FIND THEM

9 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 TL1 TL2 1 2 3 4 5 6 7 8 TL1 1 2 3 4 5 6 7 8 1 a b c d e a b c e b c d d a b c e b c d d e a c c TA: WHAT ABOUT THE REST ?

10 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 TL1 TL2 1 2 3 4 5 6 7 8 TL1 1 2 3 4 5 6 7 8 1 a b c d e a b c e b c d d a b c e b c d d e a c c

11 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 TL1 TL2 1 2 3 4 5 6 7 8 TL1 1 2 3 4 5 6 7 8 1 a b c d e a b c e b c d d a b c e b c d d e a c c

12 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 TL1 TL2 1 2 3 4 5 6 7 8 TL1 1 2 3 4 5 6 7 8 1 a b c d e a b c e b c d d a b c e b c d d e a c c

13 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 TL1 TL2 1 2 3 4 5 6 7 8 TL1 1 2 3 4 5 6 7 8 1 a b c d e a b c e b c d d a b c e b c d d e a c c

14 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 TL1 TL2 1 2 3 4 5 6 7 8 TL1 1 2 3 4 5 6 7 8 1 a b c d e a b c e b c d d a b c e b c d d e a c c

15 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 TL1 TL2 1 2 3 4 5 6 7 8 TL1 1 2 3 4 5 6 7 8 1 a b c d e a b c e b c d d a b c e b c d d e a c c

16 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 TL1 TL2 1 2 3 4 5 6 7 8 TL1 1 2 3 4 5 6 7 8 1 a b c d e a b c e b c d d a b c e b c d d e a c c

17 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 TL1 TL2 1 2 3 4 5 6 7 8 TL1 1 2 3 4 5 6 7 8 1 a b c d e a b c e b c d d a b c e b c d d e a c c

18 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 TL1 TL2 1 2 3 4 5 6 7 8 TL1 1 2 3 4 5 6 7 8 1 a b c d e a b c e b c d d a b c e b c d d e a c c TA: REALIZE THAT TO GET THE TRUE LENGTHS YOU NEED TO PROJECT THE INTERSECTION POINTS ONTO THE EXTREME RIGHT/LEFT EDGE OF THE SOLID

19 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 TL1 TL2 1 2 3 4 5 6 7 8 TL1 1 2 3 4 5 6 7 8 1 a b c d e a b c e b c d d a b c e b c d d e a c c

20 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 TL1 TL2 1 2 3 4 5 6 7 8 TL1 1 2 3 4 5 6 7 8 1 a b c d e a b c e b c d d a b c e b c d d e a c c d d b b d TA: OBSERVE HOW I CHANGE THE REPRESENTATION…

21 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 TL1 TL2 1 2 3 4 5 6 7 8 TL1 1 2 3 4 5 6 7 8 1 a b c d e a b c e b c d d a b c e b c d d e a c c d d b b d TA: WHY ? TA: TO REPRESENTHAT THE PAPER IS BENT AT THESE EDGES

22 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 TL1 TL2 1 2 3 4 5 6 7 8 TL1 1 2 3 4 5 6 7 8 1 a b c d e a b c e b c d d a b c e b c d d e a c c d d b b d e d d c c b b a TA: NEED TO DETERMINE THE TRUE SHAPE OF PLANE ABCDE-DCBA

23 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 TL1 TL2 1 2 3 4 5 6 7 8 TL1 2 3 4 5 6 7 8 1 a b c d e a b c e b c d d a b c e b c d d e a c c d b b d e d d c c b b a 2 e ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES TA: CONVENTIONALLY, START DEVELOPMENT WITH THE SMALLEST LENGTH, AND END WITH THE SAME

24 2 3 4 5 6 7 8 1 e a c c d b b d e ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES 1 2 3 4 5 6 7 8 e d d c c b b a TA: CONSTITUTES THE LATERAL BOUNDING SURFACE TA: CONSTITUTES THE BOUNDING SURFACE AT THE TOP TA: CONSTITUTES THE BOUNDING SURFACE AT THE BOTTOM TA: IS IT IN TRUE SHAPE ALREADY?

25 2 3 4 5 6 7 8 1 e a c c d b b d e ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES 1 2 3 4 5 6 7 8 e d d c c b b a TA: ROTATE AND ALLIGN PLANES

26 2 3 4 5 6 7 8 1 e a c c d b b d e ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES 1 2 3 4 5 6 7 8 e d d c c b

27 2 3 4 5 6 7 8 1 e a c c d b b d e ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES 1 2 3 4 5 6 7 8 e d d c c b

28 2 3 4 5 6 7 8 1 e a c c d b b d e ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES 2 3 4 5 6 7 e d d c c b TA: IF YOU CUT THIS PAPER, FOLD IT AND GLUE APPROPROATELY, YOU WILL GET A BOUNDED TRUNCATED PYRAMID

29 2 3 4 5 6 7 8 1 e a c c d b b d e ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES 2 3 4 1 8 7 e d d c c b TA: WOULD THE LOCATION OF THE TOP AND BOTTOM BOUNDING SURFACE MAKE ANY DIFFERENCE? TA: GOT TO LEAVE SUFFICIENT GAP FOR THE SEAMS

30 T hink and A nalyze Until next time...

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32 1 2 3 4 5 6 1 2 3 45 6 1 2 3 4 5 62 a b c d a b b a c c d a b c d b c

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34 1 2 3 4 5 6 7 8 9 10 11 12 1 2345 67 89 1011 12 12 3 45 6 7 8 9 10 11 12 1 a b c d e f g a b b a c c d d e e f f g a b c d e f g a b c f g 1 4 5 6 7 8 9 11 12

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