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Thursday's mathematical challenge.
02GF74 - 6/8/09 at 11:33 AM

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?


SeaBass - 6/8/09 at 11:39 AM

From wikipedia:



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


AdrianH - 6/8/09 at 11:41 AM

Or try this programme

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

Adrian


tegwin - 6/8/09 at 11:42 AM

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]


SeaBass - 6/8/09 at 11:45 AM

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]


SeaBass - 6/8/09 at 11:47 AM

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


tegwin - 6/8/09 at 11:48 AM

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?


SeaBass - 6/8/09 at 11:50 AM

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]


tegwin - 6/8/09 at 11:54 AM

Im confused... I give up!

My assumption for r is incorrect!

[Edited on 6/8/09 by tegwin]


02GF74 - 6/8/09 at 11:56 AM

great, thanks.

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


02GF74 - 6/8/09 at 12:01 PM

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.


matt_claydon - 6/8/09 at 12:02 PM

r (crank radius) is half the stroke, simple.


Project7 - 6/8/09 at 12:03 PM

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]


mad4x4 - 6/8/09 at 12:14 PM

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]


MikeRJ - 6/8/09 at 12:35 PM

I work it out to be 0.7712mm from using the sin rule.


Liam - 6/8/09 at 01:15 PM

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)))


Liam - 6/8/09 at 01:17 PM

Mike - would this equation also apply to the conrod in your avatar?


MikeRJ - 6/8/09 at 01:36 PM

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]