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Development of Surfaces: Triangulation Method in Mechanical Engineering

This lecture series explores the development of non-developable and oblique surfaces through the method of triangulation. The focus is on accurately determining true lengths for complex shapes, such as cylinders, cones, and pyramids. The lecturer, Anupam Saxena, provides insights on minimizing the number of triangles while maintaining shape integrity, emphasizing the importance of triangulation for true length determination. Join this in-depth analysis of surface development in mechanical engineering.

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Development of Surfaces: Triangulation Method in Mechanical Engineering

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Presentation Transcript

  1. TA 101Think and Analyze AnupamSaxena Associate Professor Mechanical Engineering Compliant and Robotic Systems Lab Indian Institute of Technology Kanpur

  2. Development of SurfacesNon-Developable/Oblique surfaces

  3. Organization of Lectures and Laboratory Assignments

  4. 2 6 7 3 5 1 4 8 TL 2 6 7 3 TL 5 8 7 6 8 6 7 5 6 7 TL 8 3 4 1 2 3 1 2 4 3 2 1 ANUPAM SAXENA TA101 LECTURE XXVI DEVELOPMENT OF SURFACES

  5. TA: FIRST INSTANCE OF THE METHOD OF TRIANGULATION 4 5 3 TA: POSSIBLE TO DEVELOP THIS SOLID ACCURATELY? 6 2 1 7 8 O O 11 9 7 7 10 6 6 12 5 5 4 4 3 3 O 2 2 1 1 O 1 2 5 3 4 7 6 9 12 11 10 8 4 3 7 2 6 1 5 TRUE LENGTH DIAGRAM TA: APPROXIMATE DEVELOPMENT – TRIANGULATE THE SURFACE! ANUPAM SAXENA TA101 LECTURE XXVI DEVELOPMENT OF SURFACES

  6. PARALLEL LINE DEVELOPMENT: CYLINDERS, PRISMS, ETC: RADIAL LINE DEVELOPMENT: CONES, PYRAMIDS, ETC: TRIANGULATION: OTHER COMPLEX (NON-DEVELOPABLE) SURFACES THEY ALL INVOLVE DETERMINATION OF TRUE LENGTHS ANUPAM SAXENA TA101 LECTURE XXVI DEVELOPMENT OF SURFACES

  7. TA: AS LESS NO: OF TRIANGLES AS POSSIBLE WITHOUT COMPROMISING ON SHAPE TA: ALL GREENs IN TRUE LENGTH 9 TA: NON-DEVELOPABLE, TRIANGULATION NEED TO DETERMINE THE TRUE LENGTHS OF 1-9, 2-10 1-8 8 11 10 7 3 2 4 12 6 1 5 6 5 8 7 4 12 9 3 8 2 11 1 4 3 2 5 1 2 6 8 7 8 1 10 9 ANUPAM SAXENA TA101 LECTURE XXVI DEVELOPMENT OF SURFACES 11 10 9 12 10 TRUE LENGTH DIAGRAM

  8. Thinking and Analyzing continues...

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