mem05037c perform geometric development - learner guide

8/10/2019 MEM05037C Perform Geometric Development - Learner Guide

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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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Page 11 of 110


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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Page 12 of 110


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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Page 13 of 110


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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Page 15 of 110


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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Page 16 of 110


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

mem05037c perform geometric development - learner guide

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