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Author: Subject: Thursday's mathematical challenge.
02GF74

posted on 6/8/09 at 11:33 AM Reply With Quote
Thursday's mathematical challenge.

Let's say I want to know the distance the piston has moved from TDC to when crank is 10 degrees BTDC.

Crank throw is 77.6mm, conrod length is 125.0 mm.

Well?






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SeaBass

posted on 6/8/09 at 11:39 AM Reply With Quote
From wikipedia:



Where r is the offset from crank centreline. A is the angle and l is the length of the rod.






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AdrianH

posted on 6/8/09 at 11:41 AM Reply With Quote
Or try this programme

http://www.myvirtualnetwork.com/mklotz/files/crod.zip

Adrian





Why do I have to make the tools to finish the job? More time then money.

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tegwin

posted on 6/8/09 at 11:42 AM Reply With Quote
So to use that formula you would have to calculate r by using the crank displacement and the degrees rotated?

so = 13.48mm

[Edited on 6/8/09 by tegwin]





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SeaBass

posted on 6/8/09 at 11:45 AM Reply With Quote
See the original article here...

http://en.wikipedia.org/wiki/Piston_motion_equations

r is the distance of the centre of rotation of the bottom of the rod from the crank centreline.

[Edited on 6/8/09 by SeaBass]






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SeaBass

posted on 6/8/09 at 11:47 AM Reply With Quote
Can't get that to run properly sounds exactly what you need though.


quote:
Originally posted by AdrianH
Or try this programme

http://www.myvirtualnetwork.com/mklotz/files/crod.zip

Adrian







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tegwin

posted on 6/8/09 at 11:48 AM Reply With Quote
quote:
Originally posted by SeaBass
See the original article here...

http://en.wikipedia.org/wiki/Piston_motion_equations

r is the distance of the centre of rotation of the bottom of the rod from the crank centreline.

[Edited on 6/8/09 by SeaBass]


Yup.. that works out to 13.48mm doesnt it?





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SeaBass

posted on 6/8/09 at 11:50 AM Reply With Quote
Don't know what he means by throw @ 77.6 mm ? If thats the crank radius or diameter?

r would either be 77.6 or 38.8?

Or does he mean the piston throw is 77.6mm??


[Edited on 6/8/09 by SeaBass]






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tegwin

posted on 6/8/09 at 11:54 AM Reply With Quote
Im confused... I give up!

My assumption for r is incorrect!

[Edited on 6/8/09 by tegwin]





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02GF74

posted on 6/8/09 at 11:56 AM Reply With Quote
great, thanks.

i worked it out as 0.8 mm; wiki link formula is 0.77 mm so good enough-ish.






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02GF74

posted on 6/8/09 at 12:01 PM Reply With Quote
quote:
Originally posted by SeaBass
Don't know what he means by throw @ 77.6 mm ?



ok, got that bit wrong - 2 x crank throw = stroke.... whcih would explain the 13 mm answers.






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matt_claydon

posted on 6/8/09 at 12:02 PM Reply With Quote
r (crank radius) is half the stroke, simple.
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Project7

posted on 6/8/09 at 12:03 PM Reply With Quote
quote:
Originally posted by 02GF74
great, thanks.

i worked it out as 0.8 mm; wiki link formula is 0.77 mm so good enough-ish.


You would be correct i worked it out at 0.7712mm - using AutoCAD

[Edited on 6/8/09 by Project7]

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mad4x4

posted on 6/8/09 at 12:14 PM Reply With Quote
Used to do that sort of thing in Higer Teccy

Using Autocad I get 1.89mm
[img]c:\2009-08-06_131408.jpg[/img]

[Edited on 6/808/09 by mad4x4]

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MikeRJ

posted on 6/8/09 at 12:35 PM Reply With Quote
I work it out to be 0.7712mm from using the sin rule.
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Liam

posted on 6/8/09 at 01:15 PM Reply With Quote
0.7712mm here too from excel assuming 77.6 is the stroke (which sounds typical for a car engine). Here's the whole mess (with a few more brackets than are probably needed just to be safe (a bit like this post ))...

((77.6/2)+125)-(((77.6/2)*COS(10*(PI()/180)))+SQRT(125^2-((77.6/2)^2*SIN(10*(PI()/180))^2)))

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Liam

posted on 6/8/09 at 01:17 PM Reply With Quote
Mike - would this equation also apply to the conrod in your avatar?
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MikeRJ

posted on 6/8/09 at 01:36 PM Reply With Quote
quote:
Originally posted by Liam
Mike - would this equation also apply to the conrod in your avatar?


That is an unsolvable equation...unless you have a full wallet

[Edited on 6/8/09 by MikeRJ]

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