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Development of Surface

Engineering Drawing

Anup Ghosh

Anup Ghosh Engineering Drawing

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

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.

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

Development of Surface

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

Anup Ghosh Engineering Drawing

Development of Surface

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

Anup Ghosh Engineering Drawing

Development of Surface

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

Anup Ghosh Engineering Drawing

Development of Surface

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

Anup Ghosh Engineering Drawing

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

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

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

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

Development of Surface

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

Anup Ghosh Engineering Drawing

Development of Surface

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

Anup Ghosh Engineering Drawing

Development of Surface

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

Anup Ghosh Engineering Drawing

Development of Surface

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

Anup Ghosh Engineering Drawing

Development of Surface

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

Anup Ghosh Engineering Drawing

Development of Surface

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

Anup Ghosh Engineering Drawing

Development of Surface

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

Anup Ghosh Engineering Drawing

Development of Surface

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

Anup Ghosh Engineering Drawing

Development of Surface

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

Anup Ghosh Engineering Drawing

Development of Surface

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

Anup Ghosh Engineering Drawing

Development of Surface

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

Anup Ghosh Engineering Drawing

Development of Surface

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

Anup Ghosh Engineering Drawing

Development of Surface

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

Anup Ghosh Engineering Drawing

Development of Surface

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

Anup Ghosh Engineering Drawing

Development of Surface

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

Anup Ghosh Engineering Drawing

Development of Surface

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

Anup Ghosh Engineering Drawing

Development of Surface

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

Anup Ghosh Engineering Drawing

Development of Surface

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

Anup Ghosh Engineering Drawing

Development of Surface

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

Anup Ghosh Engineering Drawing

Development of Surface

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

Anup Ghosh Engineering Drawing

Development of Surface

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

Anup Ghosh Engineering Drawing

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

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

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

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

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