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. Interpenetration of Solids

3. g j d c k ANUPAM SAXENA TA101 LECTURE XXIII INTERPENETRATION OF SOLIDS a b c d e g i j k l a b, l c, k d, j e, i g a 1 2 3 4 5 6 7 8 9 10 11 12 4 3, 52, 61, 78, 129, 11 10 7 6, 85, 94, 103, 112, 12 1 a b b ll c k j d i e i e g STEP 2: USE GENERATORS TO REPRESENT THE OTHER SOLID TA: SELECTED LINE OR GENERATOR METHOD SALIENT FEATURES STEP 1: DETERMINE THE VIEW WHERE INTERSECTION POINTS ARE OBVIOUS (WILL BE LYING ON ONE OF THE SOLIDS) STEP 3: EXERCISE CARE IN LABELING AND FOLLOWING THEM TA: DO NOT MISS ANY INTERSECTION POINT

4. STEP 1: BETTER WHEN THE INTERSECTION POINTS ARE NOT OBVIOUS ANUPAM SAXENA TA101 LECTURE XXIII INTERPENETRATION OF SOLIDS TA: CUTTING PLANE METHOD 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 a b b c c d d e e a b b c c d d e e STEP 2: SHOULD KNOW WHAT THE INTERSECTION BETWEEN THE CUTTING PLANE AND SOLID YIELDS STEP 3: COMPUTE THE INTERSECTION STEP 4: PROJECT POINTS OF INTERSECTION TO THE RESPECTIVE PLANES NOTE: TWO POINTS ON THE BACK SIDE TA: DO NOT MISS ANY INTERSECTION POINT

5. 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

6. ANUPAM SAXENA TA101 LECTURE XXIV INTERPENETRATION OF SOLIDS p q r s p q r s p q r s a b c d a b c d a b c d EV 1 1 1 2 2 3 3 3 4 4 5 5 6 6 TA: pq, qr, rs, sp, ALL IN EDGE VIEW IN RHS TA: INTERSECTION BETWEEN ab AND pq TA: INTERSECTION BETWEEN TWO PLANES  STRAIGHT LINE TA: INTERSECTION RESTRICTED BY ‘q’ TA: INTERSECTION LINES ‘HIDDEN’ NOTE: CORRELATION WITH THE TOP VIEW

7. ANUPAM SAXENA TA101 LECTURE XXIV INTERPENETRATION OF SOLIDS p q s p q r s p q r s a b c d a b c d a b c d EV r 1 2 1 1 2 3 3 3 4 5 4 5 5 6 6 6 7 8 7 9 9 9 8 10 11 12 13 1 1 3 3 6 6 9 9 10 TA: INTERSECTION AND VISIBILITY? TA: INTERSECTION LOOP OF INTEREST! TA: WHICH PART OF THE LOOP VISIBLE? TA: VISIBILITY OF THE PRISMS?

8. 1 ANUPAM SAXENA TA101 LECTURE XXIV INTERPENETRATION OF SOLIDS STEP 1: ARE THE INTERSECTION POINTS OBVIOUS ? TA: CUTTING PLANE METHOD

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

18. ANUPAM SAXENA TA101 LECTURE XXIV INTERPENETRATION OF SOLIDS