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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 T e chnology Kanpur. Development of Surfaces Developable/Right angled surfaces. Organization of Lectures and Laboratory Assignments.
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TA 101Think and Analyze AnupamSaxena Associate Professor Mechanical Engineering Compliant and Robotic Systems Lab Indian Institute of Technology Kanpur
TA: CERTAIN DEVELOPMENTS ARE EXACT TA: OTHERS ARE APPROXIMATE TRUE LENGTHS
TA: FORMING AN OCTAGONAL PYRAMID FROM A SINGLE PIECE OF PAPER 4 5 3 8 7 1 6 6 2 TA: INFO GOOD ENOUGH TO TRANSFER ON PAPER ? 5 TL2 7 1 8 4 TL1 3 TL1 2 1 4 5 8 1 2 6 5 6 1 4 3 2 8 7 3 7 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES
TA: WHAT IF THE PYRAMID IS TRUNCATED? 4 TA: KNOW WHERE THE INTERSECTION POINTS ARE? 5 3 TA: INTERSECTION POINTS ON 4, 8? 8 7 1 6 6 2 5 TL2 7 1 8 4 TL1 3 TL1 2 1 4 5 2 8 1 6 5 6 1 4 3 2 8 7 3 7 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES
TA:ALWAYS LABEL THE POINTS 4 TA: IT IS THE TRUE LENGTHS THAT GET MARKED ON THE PAPER 5 3 8 d c 7 1 b TA: FIND THEM 6 a 6 e 2 d b c 5 c TL2 7 1 a 8 4 c a a b b b c c c TL1 3 TL1 e d d d e 2 e 1 4 5 2 8 1 6 5 6 1 4 3 2 8 7 3 7 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES
TA: WHAT ABOUT THE REST ? 4 5 3 8 d c 7 1 b 6 a 6 e 2 d b c 5 c TL2 7 1 a 8 4 c a a b b b c c c TL1 3 TL1 e d d d e 2 e 1 4 5 2 8 1 6 5 6 1 4 3 2 8 7 3 7 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES
4 5 3 8 d c 7 1 b 6 a 6 e 2 d b c 5 c TL2 7 1 a 8 4 c a a b b b c c c TL1 3 TL1 e d d d e 2 e 1 4 5 2 8 1 6 5 6 1 4 3 2 8 7 3 7 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES
4 5 3 8 d c 7 1 b 6 a 6 e 2 d b c 5 c TL2 7 1 a 8 4 c a a b b b c c c TL1 3 TL1 e d d d e 2 e 1 4 5 2 8 1 6 5 6 1 4 3 2 8 7 3 7 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES
4 5 3 8 d c 7 1 b 6 a 6 e 2 d b c 5 c TL2 7 1 a 8 4 c a a b b b c c c TL1 3 TL1 e d d d e 2 e 1 4 5 2 8 1 6 5 6 1 4 3 2 8 7 3 7 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES
4 5 3 8 d c 7 1 b 6 a 6 e 2 d b c 5 c TL2 7 1 a 8 4 c a a b b b c c c TL1 3 TL1 e d d d e 2 e 1 4 5 2 8 1 6 5 6 1 4 3 2 8 7 3 7 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES
4 5 3 8 d c 7 1 b 6 a 6 e 2 d b c 5 c TL2 7 1 a 8 4 c a a b b b c c c TL1 3 TL1 e d d d e 2 e 1 4 5 2 8 1 6 5 6 1 4 3 2 8 7 3 7 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES
4 5 3 8 d c 7 1 b 6 a 6 e 2 d b c 5 c TL2 7 1 a 8 4 c a a b b b c c c TL1 3 TL1 e d d d e 2 e 1 4 5 2 8 1 6 5 6 1 4 3 2 8 7 3 7 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES
4 5 3 8 d c 7 1 b 6 a 6 e 2 d b c 5 c TL2 7 1 a 8 4 c a a b b b c c c TL1 3 TL1 e d d d e 2 e 1 4 5 2 8 1 6 5 6 1 4 3 2 8 7 3 7 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES
4 5 3 8 d c 7 1 b 6 a 6 e 2 d b c 5 c TL2 7 1 a 8 4 c a a b b b c c c TL1 3 TL1 e d d d e 2 e 1 4 5 2 8 1 6 5 6 1 4 3 2 8 7 3 7 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES
TA: REALIZE THAT TO GET THE TRUE LENGTHS YOU NEED TO PROJECT THE INTERSECTION POINTS ONTO THE EXTREME RIGHT/LEFT EDGE OF THE SOLID 4 5 3 8 d c 7 1 b 6 a 6 e 2 d b c 5 c TL2 7 1 a 8 4 c a a b b b c c c TL1 3 TL1 e d d d e 2 e 1 4 5 2 8 1 6 5 6 1 4 3 2 8 7 3 7 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES
4 5 3 8 d c 7 1 b 6 a 6 e 2 d b c 5 c TL2 7 1 a 8 4 c a a b b b c c c TL1 3 TL1 e d d d e 2 e 1 4 5 2 8 1 6 5 6 1 4 3 2 8 7 3 7 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES
TA: OBSERVE HOW I CHANGE THE REPRESENTATION… 4 5 3 8 d c 7 1 b 6 a 6 e 2 d b d c 5 c TL2 7 1 b a 8 b 4 c a d a b b b c c c TL1 3 TL1 e d d d d e 2 e 1 4 5 2 8 1 6 5 6 1 4 3 2 8 7 3 7 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES
TA: WHY ? 4 TA: TO REPRESENTHAT THE PAPER IS BENT AT THESE EDGES 5 3 8 d c 7 1 b 6 a 6 e 2 d b d c 5 c TL2 7 1 b a 8 b 4 c a d a b b b c c c TL1 3 TL1 e d d d d e 2 e 1 4 5 2 8 1 6 5 6 1 4 3 2 8 7 3 7 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES
TA: NEED TO DETERMINE THE TRUE SHAPE OF PLANE ABCDE-DCBA 4 5 3 b c a 8 d c 7 1 b d b 6 a 6 e 2 c d b d c d 5 e c TL2 7 1 b a 8 b 4 c a d a b b b c c c TL1 3 TL1 e d d d d e 2 e 1 4 5 2 8 1 6 5 6 1 4 3 2 8 7 3 7 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES
TA: CONVENTIONALLY, START DEVELOPMENT WITH THE SMALLEST LENGTH, AND END WITH THE SAME 4 5 3 b c a 8 d c 7 1 b d b 6 a 6 e 2 2 c d b e d c d 5 e c TL2 7 1 b a 8 b 4 c a d a b b b c c c TL1 3 TL1 e d d d e 2 e 4 5 2 8 1 6 5 6 1 4 3 2 8 7 3 7 ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES
4 5 3 8 7 TA: CONSTITUTES THE BOUNDING SURFACE AT THE TOP 1 6 6 2 e d 5 c 7 1 b TA: CONSTITUTES THE LATERAL BOUNDING SURFACE a 8 b 4 c d 3 b c a TA: CONSTITUTES THE BOUNDING SURFACE AT THE BOTTOM e d b 2 c TA: IS IT IN TRUE SHAPE ALREADY? d e ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES
TA: ROTATE AND ALLIGN PLANES 4 5 3 8 7 1 6 6 2 e d 5 c 7 1 b a 8 b 4 c d 3 b c a e d b 2 c d e ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES
4 5 3 8 7 1 6 6 2 e d 5 c 7 1 b a 8 b 4 c d 3 b c e d 2 c d e ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES
4 3 5 8 7 1 6 6 2 e d 5 c 7 1 b a 8 b 4 c d 3 b c e d 2 c d e ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES
TA: IF YOU CUT THIS PAPER, FOLD IT AND GLUE APPROPROATELY, YOU WILL GET A BOUNDED TRUNCATED PYRAMID 4 3 5 8 7 1 6 6 2 e d 5 c 7 b a b 4 c d 3 b c e d 2 c d e ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES
TA: WOULD THE LOCATION OF THE TOP AND BOTTOM BOUNDING SURFACE MAKE ANY DIFFERENCE? 4 3 8 7 1 6 2 e d 5 c 1 7 8 b a b 4 c d 3 b c e d 2 c TA: GOT TO LEAVE SUFFICIENT GAP FOR THE SEAMS d e ANUPAM SAXENA TA101 LECTURE XXV DEVELOPMENT OF SURFACES
Think and Analyze Until next time...