Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing...

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Development of Surface Engineering Drawing Anup Ghosh Anup Ghosh Engineering Drawing

Transcript of Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing...

Page 1: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Engineering Drawing

Anup Ghosh

Anup Ghosh Engineering Drawing

Page 2: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

Definition

When the surfaces of a solid are laid out on a plne, thefigure obtained is called its development.

Examples

Packaging Industry

Aircraft, Automobile, Shipbuilding Industry

Boilers, Bins, Hoppers ...

Funnels, AC ducts etc.

.

Every line on the development must be the true length of thecorresponding edge on the surface.

Anup Ghosh Engineering Drawing

Page 3: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Definition

When the surfaces of a solid are laid out on a plne, thefigure obtained is called its development.

Examples

Packaging Industry

Aircraft, Automobile, Shipbuilding Industry

Boilers, Bins, Hoppers ...

Funnels, AC ducts etc.

.

Every line on the development must be the true length of thecorresponding edge on the surface.2

013-08-16

Engineering DrawingDevelopment of Surface

Show the process of tetrahedral packing.

Page 4: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

Method of development

# Parallel-line development

# Radial-line development

# Triangulation development

# Approximate method

Development of Surfaces include all the surfaces including thetop and bottom whereas these are not considered in Developmentof Lateral Surfaces.

Anup Ghosh Engineering Drawing

Page 5: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

Anup Ghosh Engineering Drawing

Page 6: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

Anup Ghosh Engineering Drawing

Page 7: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

Anup Ghosh Engineering Drawing

Page 8: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

Anup Ghosh Engineering Drawing

Page 9: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

In the problem the plan and elevation are given to start with. Thecutting cylinder is perpendicular to VP.

Follow the true lengths to draw.

Anup Ghosh Engineering Drawing

Page 10: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

To find the truelengths rotate o1 too11 and drop aprojector to 1‘1.

Complete the lateralsurface of wholepyramid.

Find thecorresponding truelengths, like,OA = OD = o ‘a“

Anup Ghosh Engineering Drawing

Page 11: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

To find the truelengths rotate o1 too11 and drop aprojector to 1‘1.

Complete the lateralsurface of wholepyramid.

Find thecorresponding truelengths, like,OA = OD = o ‘a“

Anup Ghosh Engineering Drawing

Page 12: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

To find the truelengths rotate o1 too11 and drop aprojector to 1‘1.

Complete the lateralsurface of wholepyramid.

Find thecorresponding truelengths, like,OA = OD = o ‘a“

Anup Ghosh Engineering Drawing

Page 13: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

Anup Ghosh Engineering Drawing

Page 14: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

Anup Ghosh Engineering Drawing

Page 15: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

Anup Ghosh Engineering Drawing

Page 16: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

Anup Ghosh Engineering Drawing

Page 17: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

Anup Ghosh Engineering Drawing

Page 18: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

Anup Ghosh Engineering Drawing

Page 19: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

Anup Ghosh Engineering Drawing

Page 20: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

Anup Ghosh Engineering Drawing

Page 21: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

Anup Ghosh Engineering Drawing

Page 22: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

Anup Ghosh Engineering Drawing

Page 23: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

Anup Ghosh Engineering Drawing

Page 24: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

Anup Ghosh Engineering Drawing

Page 25: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

Anup Ghosh Engineering Drawing

Page 26: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

Anup Ghosh Engineering Drawing

Page 27: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

Anup Ghosh Engineering Drawing

Page 28: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

Anup Ghosh Engineering Drawing

Page 29: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

Anup Ghosh Engineering Drawing

Page 30: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

Anup Ghosh Engineering Drawing

Page 31: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

Anup Ghosh Engineering Drawing

Page 32: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

Anup Ghosh Engineering Drawing

Page 33: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

Anup Ghosh Engineering Drawing

Page 34: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

A sphere may bedivided in 12 lunes,one of which is shownhere.

Divide the semicirclein to 8 equal parts.

Draw arcs ab, cd, dfwith radii q‘1‘,q‘2‘,q‘3‘.

Draw QR= 8* q1.Project theapproximate straightlengths.

Anup Ghosh Engineering Drawing

Page 35: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

A sphere may bedivided in 12 lunes,one of which is shownhere.

Divide the semicirclein to 8 equal parts.

Draw arcs ab, cd, dfwith radii q‘1‘,q‘2‘,q‘3‘.

Draw QR= 8* q1.Project theapproximate straightlengths.

Anup Ghosh Engineering Drawing

Page 36: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

A sphere may bedivided in 12 lunes,one of which is shownhere.

Divide the semicirclein to 8 equal parts.

Draw arcs ab, cd, dfwith radii q‘1‘,q‘2‘,q‘3‘.

Draw QR= 8* q1.Project theapproximate straightlengths.

Anup Ghosh Engineering Drawing

Page 37: Engineering Drawing - ae.iitkgp.ac.inanup/enggDrawingSurfaceDevelopment.pdf · Engineering Drawing Development of Surface Show the process of tetrahedral packing. Development of Surface

Development of Surface

Parallel-line DevelopmentRadial-line DevelopmentTriangulation DevelopmentApproximate Method for Doubly Curved Surfaces

A sphere may bedivided in 12 lunes,one of which is shownhere.

Divide the semicirclein to 8 equal parts.

Draw arcs ab, cd, dfwith radii q‘1‘,q‘2‘,q‘3‘.

Draw QR= 8* q1.Project theapproximate straightlengths.

Anup Ghosh Engineering Drawing