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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TA 101 T hink and A nalyze Anupam Saxena Associate Professor Mechanical Engineering Compliant and Robotic Systems Lab Indian Institute of Technology Kanpur

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

Basic Construction and Conics

ANUPAM SAXENA TA101 LECTURE II POLYGONS: HEXAGONS d Vertex-to-vertex distance Distance between flats d 60 Circumscribing circle Inscribing circle

ANUPAM SAXENA TA101 LECTURE II POLYGONS: PENTAGON d A B C D E F r R

ANUPAM SAXENA TA101 LECTURE II POLYGONS: OCTAGON

ANUPAM SAXENA TA101 LECTUREII POLYGONS: SEPTAGON OR ANY REGULAR POLYGON Given a side A B

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF ELLIPSE: CONCENTRIC CIRCLES

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF ELLIPSE: CONCENTRIC CIRCLES (x, y) P (bcos, bsin ) P Q Q (acos, asin ) x = acos y = bsin Exact Ellipse

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF ELLIPSE: CONCENTRIC CIRCLES

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF ELLIPSE: CONCENTRIC CIRCLES P Tangent-Normal at P M F G |FM| + |MG| = 2a

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF ELLIPSE: CONCENTRIC CIRCLES P Tangent-Normal at P M F G n TA: Why is n the normal?

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF ELLIPSE: INTERSECTING ARCS 2a2a 2b2b |FT| + |TG| = 2a F G M Q P Q P T

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF ELLIPSE: INTERSECTING ARCS 2a2a 2b2b F G M Q P Q P T TA: What is the maximum radius of the arc possible from F? ?

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF ELLIPSE: INTERSECTING ARCS 2l2l 2b2b |FT| + |TG| = 2l F G M Q P T d1d1 d2d2 (x, y) (a, 0) Ellipse if C 2a

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF ELLIPSE: STRING APPROACH Source: wiki

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF ELLIPSE: Trammel of Archimedes 2a2a 2b2b Q P m n

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF ELLIPSE: Trammel of Archimedes 2a2a 2b2b Q P m n

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF ELLIPSE: Trammel of Archimedes 2a2a 2b2b Q P m n

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF ELLIPSE: Trammel of Archimedes 2a2a 2b2b Q P m n

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF ELLIPSE: Trammel of Archimedes 2a2a 2b2b Q P m n

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF ELLIPSE: Trammel of Archimedes 2a2a 2b2b Q P m n

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF ELLIPSE: Trammel of Archimedes 2a2a 2b2b Q P m n

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF ELLIPSE: Trammel of Archimedes 2a2a 2b2b Q P m n

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF ELLIPSE: Trammel of Archimedes 2a2a 2b2b Q P m n

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF ELLIPSE: Trammel of Archimedes Q P m n y x fl 1 R Precise Ellipse!

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF ELLIPSE: Parallelogram Method

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF ELLIPSE: Parallelogram Method

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF ELLIPSE: Parallelogram Method

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF ELLIPSE: Parallelogram Method

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF ELLIPSE: Parallelogram Method

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF ELLIPSE: Parallelogram Method

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF ELLIPSE: Parallelogram Method TA: An exact or approximate Ellipse? TA: Can you identify the Conjugate Diameters?

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF ELLIPSE: Conjugate Diameter Method A B C D Q AB, CD: Conjugate Diameters O: Center of Ellipse O OQ: Perpendicular to AB TA: Exact Ellipse?

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF ELLIPSE: FOUR CENTER METHOD

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF ELLIPSE: FOUR CENTER METHOD C1 C2 C3 C4 TA: An exact or approximate Ellipse? Clue: The longest diagonal first TA: Only with Rhombus?

ANUPAM SAXENA TA101 LECTURE II CONSTRUCTION OF A PARABOLA

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

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