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MEM05 Metal and EngineeringTraining Package
Learner guideVersion 2
Training and Education SupportIndustry Skills Unit
Meadowbank
Product code: 5404
MEM05037CPerform geometric development
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Developed by Training & Education Support Industry Skills Unit, Meadowbank TAFE NSW 2011
MEM05037C Perform geometric development
AcknowledgementThe TAFE NSW Training and Education Support Industry Skills Unit, Meadowbank would like toacknowledge the support and assistance of the following people in the production of this learnerresource guide:
Kockhams IndustriesW.E. Smith Engineering Pty LtdRedimix concrete
Writers:Paul Leete (North Coast Institute)TAFE NSW
Reviewers:Neil Smith (Illwarra Institute)Jim Miles (Contractor)John Sharples (Illawarra Institute)Murray McGregor (New England Institute)
Project Manager:Stephen DaviesEducation Programs ManagerTAFE NSW
EnquiriesEnquiries about this and other publications can be made to:
Training and Education Support Industry Skills Unit, MeadowbankMeadowbank TAFELevel 3, Building J,See Street,MEADOWBANK NSW 2114
Tel: 02-9942 3200 Fax: 02-9942 3257
The State of New South Wales, Department of Education and Training, TAFE NSW,Training and Education Support Industry Skills Unit, Meadowbank, 2011
Copyright of this material is reserved to TAFE NSW Training and Education Support Industry Skills Unit,Meadowbank. Reproduction or transmittal in whole or in part, other than for the purposes of privatestudy or research, and subject to the provisions of the Copyright Act, is prohibited without the writtenauthority of, TAFE NSW Training and Education Support Industry Skills Unit, Meadowbank.
ISBN 978 1 74236 228 1
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MEM05037C Perform geometric development
Topic 1 - Geometric methods and terminology
A tradesperson can develop true detailed patterns of geometric shapes using the principles ofmathematics and geometry in particular. Three of the most common geometric development methodsare:
parallel line radial line triangulation
Method 1: Parallel line development
It uses a series of parallel lines to develop a square, rectangular and cylindrical shapes. The patterns ofthese shapes are shown when they are unfolded or rolled out at. They are often referred to as "stretchouts"
Stretch out
R e ct a n g u l a r p r i s m s C y l i n d e r s
Stretch out
Method 2: Radial line development
It uses radial lines to develop patterns of pyramids and conical shapes. Generator lines radiate from theapex of the pyramid or cone.
These lines are used to develop the pattern or stretch-out.
P y r a m i d s
C o n e s
Apex
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MEM05037C Perform geometric development
Method 3: Triangulation development
Uses a series of adjoining triangles to develop patterns of irregular shaped transition pieces.
S q u a r e t o r o u n d H a l f t r a n s i t i o n t r a n s i t i o n p i e c e
S q u a r e t o r o u n d t r a n s i t i o n H a l f t r a n s i t i o n p i e ce w i t h r o u n d c o r n e r s
T e r m i n o l o g y u s e d f o r s h a p e s
Top
Curved surface
Axis
Base
ParallelGeneratorLine
Base
Axis
Curvedsurface
RadialGeneratorLine
C y l in d e r Co n e s
Apex
Slant edge
Axis
Triangularsurface
Base
Base edge
Flat triangularsurface
Joint/Seam
Triangularcurved surface
Base edgeGenerator line
P y r a m i d T r a n s i t i o n p i e c e
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MEM05037C Perform geometric development
Review questions
These questions will help you revise what you have learnt in topic 1, geometric methods andterminology.
G eo m e t r i c d e v e l o p m e n t
1. List three (3) common methods of geometric development:
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
2. Name a shape produced by each of these methods: ________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
3. Give one (1) example for each method of a nished article:
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
4. Name a nished article that needed the use of more than one geometric development method:
__________________________________________________________________________
5. The unfolded or unrolled pattern is called the: (Circle your answer)
a. Prism b. at surface c. stretch out d. cylinder
6. The generator lines on a cone radiate from the:
a. point b. apex c. base d. axis
7. Which statement best describes the term parallel:
a. starting from common pointb. series of adjoining trianglesc. two lines equal distance apartd. generator lines
8. What is the shape of each end of a typical transition piece?
_____________________________________________________________________________
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MEM05037C Perform geometric development
Topic 2: Parallel line development
Parallel line development is usedto develop rectangular and cylindrical
shapes.
D r a w i n g i n t e r p r e t a t i o n a n d c a l cu l a t i o n s
To mark out a pattern for a rectangular prism or cylinder, we need to calculate the perimeter orcircumference of the article.
Remember, a pattern is simply the article unfolded or unrolled. This unfolded length is often called thestretch-out length of the pattern blank. (See examples below)
The square prism stretch-out length is the sum of all 4 sides.
s q u a
r e p r i s m
B e n d
l i n e
B e n d
l i n e
B e n d
l i n e
Seam
Square prism (X = Y)
C i r c u m f e r e n c e o f c y l i n d e r S t r e t c h - o u t
Seam
C y l i n d
e r
Cylinder stretch out length is equal to its circumference
Circumference = diameter x 3.1416 ( )
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S t u d e n t e x e r c i s es - D r a w i n g i n t e r p r e t a t i o n a n d c a l cu l a t i o n s
Exercise 2.1Calculate the stretch-out length of the square prism and ll in the other missing dimensions on thestretch-out.
S q u a r e P r i s m
s q u a r e
p r i s m
B e n d
l i n e
B e n d
l i n e
B e n d
l i n e
Seam
Square prism (X = Y)
Top view
Front view Right side view
200
3 5 0
2 0 0
Stretch-out
Exercise 2.2Calculate the stretch-out length of the rectangular prism and ll in the other missing dimensions on thestretch-out
R e c t a n g u l a r p r i s m
B e n d
l i n e
B e n d
l i n e
B e n d
l i n e
Seam
Top view
Front view Right side view
450 200
3 8 0
Stretch-out