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Working out the braking forces on a wishbone? Help!
garage19 - 24/10/06 at 12:23 PM

Can someone who knows theyre physics double check my workings?

I'm trying to work out the forces on a wishbone under braking.


acceleration (m/s2)= change in velocity (m/s)
------------------------
time taken (s)

therefore if i slow my car from 100mph to 0 in 6 secs, 1 mile = 1609.3m, change in velocity =2682.167m/s

acceleration = 2682.167
--------
6

447.0278 m/s2 = 2682.167
--------
6

Then if:

Force = mass x acceleration (or deceleration in this case)

force = 800 (kg) x 2682.167


357622 N (357.622 kN) = 800 (kg) x 2682.167

So if i divide 357 kN by 2 i have the force on each wheel??

178.5 kN per wheel???

Please help me if i am wrong as i has been many years since i did physics at high school. Thanks.

[Edited on 24/10/06 by garage19]


kikiturbo - 24/10/06 at 12:32 PM

100 mph is 44.704 m/s

so acceleration is 7.45 m/s2
force - cca 6000 N divided by 2, 3000 N.... but

I guess you want to calculate max forces on the wishbone... but you should better use some safety factors... for a road car you want to use max loads of 5g vertically, 4g longitudinally, 2g laterally. So, get your corner weights, myltyply them by the 5,4,2 g and you will get your max loads...


oily85 - 24/10/06 at 12:34 PM

I think that acceleration = change in velocity/time,
so
change in velocity = acceleration x time


garage19 - 24/10/06 at 01:08 PM

quote:
Originally posted by kikiturbo
100 mph is 44.704 m/s

so acceleration is 7.45 m/s2
force - cca 6000 N divided by 2, 3000 N.... but

I guess you want to calculate max forces on the wishbone... but you should better use some safety factors... for a road car you want to use max loads of 5g vertically, 4g longitudinally, 2g laterally. So, get your corner weights, myltyply them by the 5,4,2 g and you will get your max loads...


Good point on the m/s. I minor slip in my calcs. doh

Quite high safety factors there then.


kikiturbo - 24/10/06 at 01:19 PM

yes, but that is for a road going vehicle... you could read around a bit to get the safety factors for the track... production cars use even higher safety factors...


chriscook - 24/10/06 at 06:05 PM

Also don't forget that the wishbones transmit the brake torque at the same time. Unless the brakes are inboard of course.


omega 24 v6 - 24/10/06 at 08:24 PM

Also
Will the top bones be carrying some of the load as well??
The will the top bones be trying to resist being forced forward (or backwards) due to the torque from the brakes (depends if the calipers are front or rear mounted)??
Just my thoughts/ input perhaps someone may be so kind as to tell me if my reasoning is flawed


chriscook - 24/10/06 at 10:20 PM

Both top and bottom wishbones will take the load.


matt_claydon - 24/10/06 at 10:54 PM

Top and bottom 'bones will share longitundinal load of the car decellerating as described above proportionally (depending on the position of the axle between top and bottom 'bones - moments). They will also share the torque from the brake caliper (independent of whether it is front or rear mounted) such that the top 'bone is forced forward and the rear 'bone is forced back. Again this is dependent on distances from the axle and this will subtract from (top) and add to (bottom) the linear forces.

[Edited on 25/10/06 by matt_claydon]


MikeRJ - 24/10/06 at 11:43 PM

quote:
Originally posted by matt_claydonAgain dependent on distances from the axle and this will subtract/add from the linear forces.


It will always add to the bottom wishbone and subtract from the top, hence why people get away with having top wishbones made with curves in them (i.e. pre-failed according to Chapman!).


matt_claydon - 25/10/06 at 07:35 AM

quote:
Originally posted by MikeRJ
quote:
Originally posted by matt_claydonAgain dependent on distances from the axle and this will subtract/add from the linear forces.


It will always add to the bottom wishbone and subtract from the top, hence why people get away with having top wishbones made with curves in them (i.e. pre-failed according to Chapman!).


Sorry, that's what I meant - just came across a little confusingly


chriscook - 25/10/06 at 06:52 PM

I thought this link might be useful to some on here. It is a pdf of a presentation giving an overview of a CAE approach for structural analysis. The bit that might be useful is on page 5 where there is a table of standard loadcases.
http://www.ulsab.org/ulsas/General/CAEStructuralApproach2.pdf

The figures it gives are essentially industry standard for basic analyses - there's nothing clever in there. Just used it as its public domain, we use similar figures where I work.

As a rough rule-of-thumb you'd want to keep the stresses below 1/2 UTS or 2/3 yield if its a 'normal' steel with a decent surface finish and no stess concentrations. The fatigue properties for high strength steels are different so you'd need a lower stress limit in relation to its UTS or yield.