Dimensions of circles - Prof. Hala J. El‐Khozondar Spring 2017
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Transcript of Dimensions of circles - Prof. Hala J. El‐Khozondar Spring 2017
A. Keydimensionsofcircles
Anengineerisgivingatrainingcoursetoagroupoftechnicalsalesstaffwhoworkforatyremanufacturer.Duringthetalk,shementionsanumberofdimensionsrelatingtocircles.Obviously,theoutsideedgeofatyreformsacircle,asyoucanseeinthissimplediagram.
A. Keydimensionsofcircles
Theoutercircleinthediagramistheoutsideofthetyre,andtheinnercircle‐ thecirclewiththesmallerdiameter‐ representsboththeinsideofthetyre andtheoutsideofthewheel.And,clearly,theinnercircleisrightinthemiddleoftheoutercircle‐it'sexactlyinthecentre.Sobecauseit'scentral,thatmeanstheinsideandoutsideofthetyre formconcentriccircles.Andasthetyre iscircular,simplegeometrytellsusthatmeasurementsoftheradius,takenfromthecentre ofthecircletodifferentpointsonitsedge‐pointsonthecircumference‐ areequal.Alltheradiiarethesame.Inotherwords,thetyre hasaconstantradius.'
A. Keydimensionsofcircles
Butwhenatyre isfittedtoavehicle,it'scompressedagainsttheroadsurface.Thatmeansitsgeometrychanges.Sowhilethewheel‐ theinnercircle‐ obviouslyremainsround,thecircumferenceofthetyre ‐ theoutercircle‐ changesshape.Itdeforms.
A. Keydimensionsofcircles
Before deformation, this part of the tyre forms an arc ofthe circle, between points A and B. So, as you can see inthis diagram, it's not a straight line ‐ it's a curved line. Butafter deformation, it's no longer a curve. The tyrebecomes deformed between points A and B. It becomes achord of the same circle, forming a straight line betweenA and B.
However, the length of a chord and the length of an arc,between the same two points on a circle, are different. Sothe design of the tyre has to allow for this change inshape‐ from a rounded edge to a straight edge.
Technicians are discussing different views shown on drawings (looking at components from above, from the side, etc.), as they search for the information they require.
In non-technical, everyday English, engineering drawings are often called plans.
Section is the short form of cross-section, and is commonly used in technical contexts.
Two-dimensional and three-dimensional are often shortned to 2D and 3D.
B.Typesofviewsusedondrawings
• Specifictermsareusedtodescribethecirculardimensionsofpipes.Thewidthoftheinsideofapipeiscalledtheinsidediameter(ID).Itcanalsobecalledthe bore.Theoutsidewidthiscalledtheoutsidediameter(OD).Whenpipesarelaidhorizontally,thetopoftheoutsideofthepipeiscalledthecrown,andthebottomoftheinsideofthepipeiscalledtheinvert.
B.Pipedimensions
6.1Completethenotes,madebyasalespersonattendingthe engineer'stalk,usingthewordsinthebox.
Beforetyres arefittedtovehicle:
Arc,chord,circular,circumference,constant,curved,deformed,diameter,radius
6.2 Findwordsandexpressionswiththefollowingmeanings.Onequestionhastwopossibleanswers.1. thehighestpointofahorizontalpipe
2. thelowestpointoftheinsideofahorizontalpipe
3. themaximumoverallexternalwidthofapipe
4. themaximuminternalwidthbetweenthepipewalls
6.3Changeonewordineachofthesentencesbelowtocorrectthem
1. Thedistancetravelledbythevehicleeachtimeitswheelsturncompletelyisequaltotheradiusofoneofitstyres.
2. Thediameterofthetyre ismeasuredfromthecentre ofthewheeltotheoutsideedgeofthetyre.
3. Theradiusofthecurveinthemotorwayisconstant,sotheedgesoftheroadfollowchordsofacircle.
4. Thecurveinthemotorwayhasaconstantradius,sotheinsideandoutsideedgesoftheroadarearcsoftwodeformedcirclesthathavethesamecentre.
5. Theinvertisonthecircumferenceoftheexternalfaceofthepipe,andthereforecannotbeincontactwiththeliquidflowinginsidethepipe.
6. Thethicknessofthewallatthebottomofthepipe,plusthedistancebetweentheinvertandthecrownofthepipe,isequaltotheinsidediameterofthepipe.
6.3Changeonewordineachofthesentencesbelowtocorrectthem
Solution6.31. Thedistancetravelledbythevehicleeachtimeitswheelsturncompletelyisequalto
thecircumference ofoneofitstyres.
2. Theradiusofthetyre ismeasuredfromthecentre ofthewheeltotheoutsideedgeofthetyre.
3. Theradiusofthecurveinthemotorwayisconstant,sotheedgesoftheroadfollowarcs ofacircle.
4. Thecurveinthemotorwayhasaconstantradius,sotheinsideandoutsideedgesoftheroadarearcsoftwoconcentric circlesthathavethesamecentre.
5. Thecrown isonthecircumferenceoftheexternalfaceofthepipe,andthereforecannotbeincontactwiththeliquidflowinginsidethepipe.
6. Thethicknessofthewallatthebottomofthepipe,plusthedistancebetweentheinvertandthecrownofthepipe,isequaltotheoutside diameterofthepipe.