S197 suspension motion ratios

Alatalo

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Hello everybody, new member from Sweden here, on the hunt for information...

Has anybody measured or calculated the motion ratio (a.k.a. leverage ratio) between each tire's contact patch and the corresponding suspension element...?

Just looking without taking any measurements, the motion ratio for the front strut can't be far off 1:1...? However, it does appear to sit slightly inside the center of the tire contact patch and also on an angle, so...Also looking without taking any measurement, the motion ratio for the rear spring has to be very close to 1:1...? At least for all kinds of heave and pitch motions, but not necessarily for roll motions, as it appears to sit straight up from the axle but also quite far into the car...? And the dampers are clearly on a different motion ratio than the springs.

If anybody has information or more precise numbers they want to share, I am all ears. I used the search function, but came up short. Also on Trackmustangsonline, where motion ratios are actually discussed, but without mentioning any firm numbers. I will use the information to tinker and make some basic calculations, just to know what I have got before purchasing any aftermarket parts.
 

WJBertrand

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Seems like you should be able to get underneath and measure this yourself. Curious what your interest in this is? It’s not something that can be easily adjusted (cutting, welding, etc.).
 

Alatalo

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I will, but I will have no possibility to measure things for another month or so. So just checking if somebody has already got measurements or calculations they want to share.

I am not intending to change any of the motion ratios. I just want to know what they are, in order to calculate what effect a suspension adjustment has at the tire contact patch.
 

kerrynzl

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The motion ratio of a MacPherson Strut is 1.11:1 due to "king-pin inclination" [angle of the strut]
This can also be calculated as 0.9:1 depending on you base calculation method

1" at the strut = 0.9" at the spindle
or
1" at the spindle = 1.11" at the strut

The motion ratio also changes [due to trigonometry] as the suspension increase .
The only way to reduce this change is to have the LCA perpendicular to the strut [but this lowers the roll center to infinate below the tire contact]
I will, but I will have no possibility to measure things for another month or so. So just checking if somebody has already got measurements or calculations they want to share.

I am not intending to change any of the motion ratios. I just want to know what they are, in order to calculate what effect a suspension adjustment has at the tire contact patch.

The motion ratio is needed to calculate suspension stiffness [wheel rate] but spring swaps or ARB tuning is a lot easier than motion ratio changes.
You need to know you CGH and RCH to calculate "overturning moment" [or bodyroll] for a maximum lateral acceleration. then you factor in the desired roll stiffness.

I had a race car with push rod A-arm suspension. We had a selection of "bell cranks" to dial in the wheel rate [as well as coil over springs] this was purpose built and easy to adjust.

For your S-197 I will suggest buying a tire pyrometer and learn to read temperatures across the tires [then make camber/toe adjustments to correct the footprint]
I've seen showroom stock racers clean up at the track with stock suspension because they knew how to set up the alignment.

S-197's are easy to get handling on the track but there is no "free lunch". A good handling track car is a nightmare to drive on the street.
 

Alatalo

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Thank you for the proposals, but in this case the purpose is not to build a race car or even take it to track days. Just to understand where the OEM car is and what direction some of the popular aftermarket options will take it. If anything, this particular car will end up as a mild dragrace car rather than a corner handling car.

So far, I have only taken some basic measurements that pretty much confirm the 0.95:1 (front at ride height) and 1:1 (rear at ride height) mentioned on another forum.
 

kerrynzl

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Thank you for the proposals, but in this case the purpose is not to build a race car or even take it to track days. Just to understand where the OEM car is and what direction some of the popular aftermarket options will take it. If anything, this particular car will end up as a mild dragrace car rather than a corner handling car.

So far, I have only taken some basic measurements that pretty much confirm the 0.95:1 (front at ride height) and 1:1 (rear at ride height) mentioned on another forum.

This was posted in the corner carver section so your intended usage was misleading.

My advice then is don't **** with it , just buy decent tyres and be done with it.
As soon as you lower an S-197 you start upsetting things and you need to start correcting induced geometry problems.

99% of the time these cars are driven as daily drivers.
If you want to occasionally drag race it, then install a nitrous set up [but leave it standard for daily use]
 

Alatalo

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This was posted in the corner carver section so your intended usage was misleading.

My advice then is don't **** with it , just buy decent tyres and be done with it.

Dude, calm down. I am not intending to mess with any of the motion ratios. I am just intending to perform some basic calculations to know my starting point.

I posted my question under the corner carver section because I assumed that would be the place where somebody would know the answer. If that was the wrong choice or a choice that is offending somebody, can a moderator please delete the entire thread…?
 

kerrynzl

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Dude, calm down. I am not intending to mess with any of the motion ratios. I am just intending to perform some basic calculations to know my starting point.

I posted my question under the corner carver section because I assumed that would be the place where somebody would know the answer. If that was the wrong choice or a choice that is offending somebody, can a moderator please delete the entire thread…?

It was not a matter of "calming down". I was trying to answer your question appropriately based on relevant information supplied.
I wasn't offended in anyway at all

If we forget about motion ratios and actually refer to "Wheel Rate" [spring stiffness divided by motion ratio squared] it is the answer you are really seeking.
With Road Racing [Circuit Racing] weight transfer is multi-dimensional [forward /aft and left/right] so we play with roll centers vs CGH and Squat / Dive vs CGH.
With drag racing it is one-directional with Squat / Anti-squat vs CGH
The wheelbase and motion ratios are generally fixed so it limits you to ride height[CGH] and spring stiffness.
And shocks / tyres are a big factor to how the car reacts.

With "wheel rate" you need to understand suspension stiffness AND suspension load [this creates a suspension frequency which is relatively slow ]
A good example is a car with a 100 lb/in wheel rate supporting 450 lbs on that corner . The car actually settles 4-1/2" to meet a point of equilibrium [spring load]
So this explains why a lot of softer springs are longer when static AND why spring compressors are needed for installs.

So for drag racing you want soft / tall front springs on the front [these are slow frequency] and 90/10 shocks.
The frequency is slow, needed for a fast lift/extension [slow compared to the rate it absorbs bumps at speed]

On the rear you want the wheel rate relatively stiff ,so "overtuning moment" [weight transfer] is planted into the tyre footprint instead of absorbed in the springs.
It helps if the rear LCA's are set up for Anti-squat [so if the car is lowered, these need to be corrected]

Now here is the "elephant in the room" regarding live axles.
There are 2 motion ratios . one for suspension stiffness and one for roll stiffness.

For straight line suspension stiffness over bumps the motion ratio is 1:1 [a 150 lb/in spring = 150 lb/in wheel rate]
But for roll stiffness the roll center is where the panhard bar intersects the centerline of the car.
And the spring is inboard mounted on the rear axle.
The outer edge of the rear tires are 74" apart [the outer edge is measured for cornering loads] that = 37" from the centerline
The rear springs mounted directly on the axle are 38.6" apart = 19.3" from the centerline

The motion ratio of a standard mustang is 1.91:1 so if you wanted a 150 lb/in wheel rate roll stiffness on the rear it would require a 547 lb/in spring [which is crazy too stiff for suspension stiffness]
So the remedy here is to add a rear anti-roll bar which doesn't affect suspension stiffness.

On my FR500C Ford moved the springs outboard by using coilover shocks .
These are mounted 54.4" apart or 27.2" from the centerline
The motion ratio of a FR500C mustang is 1.36:1 so if you wanted a 150 lb/in wheel rate roll stiffness on the rear it would require a 277 lb/in spring
The FR500C does not have rear anti roll bars

So Ford [Multimatic] played with motion ratios on race cars.

While dancing on the subject of lowering the rear suspension. When you do this the LCA's are lower at the front. This creates "squat" [the forward thrust drives the wheels upwards/ frame downwards]
On a street car or drag car these LCA's need to be horizontal or slightly higher at the front [pointing upwards]
This is one of the main causes of Mustangs attacking crowds on youtube videos.

So correct this with relocation brackets ,so the car "hooks better" [unless you like doing skids ]

My FR500C has the LCA's pointing down for a different reason [my car will "bake" the tires from a standing start]
Having the LCA's pointing down causes the rear axle to arc forward on compression creating "roll-steer"
But this is Rear Roll Understeer, which increases "side bite" mid corner and allows the car to corner exit a lot earlier.

My car "tramlines" really bad on bumpy straights but it is actually quite stable [I can take my hands off the wheel at 170mph while it is dancing all over the bumps]
Rear Roll Understeer is quite stable and self corrects, whereas Rear Roll Oversteer is unstable and require driver input to correct.

When I said "don't f*** with it" it wasn't meant to be an insult but good advice...... meaning "LESS IS MORE" have a good look at stock eliminators.
These guys can get a 4.6 3v into the 11's with stock heads / intake /TB etc [they play with mechanical leverage off the line. eg: hi-stall converters and low gearing]

Any help wanted just keep posting or pm me
 
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Alatalo

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I am attempting to calculate the wheel spring rates as well as the wheel damping rates, as that is kind of the standard procedure and standard starting point in the motorcycle roadrace world where I come from. First through a more simple corner model, just to get started. Maybe later by a full car model. During heave, pitch as well as roll (the terminology we normally use for different degrees of freedom, even if roll is not really a factor in motorcycle racing until one considers tyre profiles and tyre spring rates).

I won’t be able to get exact measurements from my Mustang until after Christmas, hence my hunt for online information. The problem I encounter with the online information is that it is…there…but widespread…

OEM springs, for instance…Somewhere in some information from Ford all of the free lengths have been listed, but it’s god darn difficult to find twenty years after the car was designed. And probably 100.000 owners removed the OEM springs, but nobody measured them…

Also, manufacturers of lowering springs and performance springs are happily telling you how much they will drop your car (compared to an unknown reference). But when you ask them for spring rates or even the free lengths of their springs, they go all tight. Either, they don’t know or they feel you ask for proprietary information. A point of view I don’t really understand, which in my normal environment means you are definitely not shopping from them and a thing that already now has me seriously considering the use of known coilover springs. Maybe not the general opinion in the car world, but I do like to know what I have and what I get rather than relying on sales mumbo jumbo.

Anyway, I will make a serious effort to get proper measurements some time after Christmas. If nothing else, I will report them here. Meanwhile, thank you for the numbers mentioned above.
 

GriffX

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Just a reminder, the 2011+ has become some different geometry front and rear, so if you find some values online compare the build years.
 

kerrynzl

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The OP's car is an '06 and my car [which I measured is an '05]

The geometry pertaining to the OP's original question is basically unchanged on the '11+ models.
The main difference is the upper strut /tower mounts and electric power steer. [and bushings]

Unless the car is converted to rear coilover shocks the motion ratios remain unchanged

@Alatalo if you need any measurements just ask.
My car is parked on an open center car hauler trailer so I can easily take measurements underneath
 

GriffX

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AFAIK the 11+ has changed front LCA geometry (beside bigger ball joint) and longer rear UCA (don't know if the angle is the same)
 

kerrynzl

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AFAIK the 11+ has changed front LCA geometry (beside bigger ball joint) and longer rear UCA (don't know if the angle is the same)
The mounting points on the unibody is the same!
The rear spring still mounts directly over the axle tube so the motion ratio is still 1:1

The 11+ front A-Arm [LCA] has the same geometry and can swap over with a minor modification [boring out the knuckle for the larger ball-joint shank /or swap for 11+ knuckle]

But this ^^^ is all a moot point as it is not applicable to this thread








The only way to change the motion ratio of a Mac-Strut is to lengthen the lower A-Arms and Change the "King Pin Inclination" with different struts [to correct camber]
This alters the angle [from vertical] of the strut


There is a lot of bullshit about motion ratios out there [especially Mac-Struts]
They always assume it is 1:1 but never consider the angle of the strut affecting this [this was what "laid down shocks" on motorcross bikes did]

Here is a typical "conclusion" on the net
The reality is you measure the lower A-Arm [from pivot centerlines]
Then take another measurement perpendicular to the strut centerline

Motion ratios are used for suspension stiffness calculations [called "wheel rate"]
1763756831240.png
 

Alatalo

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@Alatalo if you need any measurements just ask.

That would be if you or anybody else is willing to measure the free length of an OEM front spring…? If anybody has one handily available not mounted in the car, that is.

To my knowledge, there are six different ones for the 05-09 S197. I am interested in the FF (yellow) front spring that appears to sit in all manual GT coupes and the GG (orange) front spring that appears to sit in all automatic GT coupes.
 

kerrynzl

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Unfortunately I can't help with coil spring heights measurements because my car was fitted with coil-overs all round.

For a street racer , I would look at what Ford did with their FR500CJ drag package.
They used stock Mustang GT front springs and V6 rear springs

The idea of using softer V6 springs was to encourage weight transfer for drag launches.
The reason they stuck to GT front springs was to cater for the heavier Iron block 5.4 4v engine.

With the 4.6 3v alloy block you could achieve the same results with V6 springs all round.
You will have more dive , squat , and body-roll BUT you could control the body-roll on the street with heavier front and rear ARB's

I personally would look at importing a set of used V6 struts and rear springs and installing 90/10 front shock inserts into the struts.
It would be easy to swap the front struts every time you go racing


Install 4.11 to 4.30 gears and a 3000-3500 stall converter [5r55s] 28" drag radials , and a mild tune with bolt ons would get you into high 12's
Go racing on Sunday and swap everything back, and drive it to work on Monday

If your car weighed 3600 lbs with driver, it would need 360 hp to do 12.5 sec quarters
With 28" drag radials and 4.30 gears it will hit 5600 rpm through the traps at 108 mph
or
With 26" drag radials and 4.30 gears it will hit 6000 rpm through the traps at 108 mph

with stock wheels it would cruise at 120 km/h [70 mph] at 2900 rpm in 5th overdrive and it will be a real bandit in urban situations.
You will get more gains from mechanical leverage than major engine mods. [less is more]
And the real "head shaker" is when people look around your car and it appears to be relatively stock


Edit: in my country ,we have 2 sanctioning bodies AHRA [USA based] and NZHRA [NZ based]
They both have a 11.00 sec cut off rule.
So if you go 10.99 or faster you need a competition license, Roll cage, Bell housing protection, Driveshaft loop Harness, HANS etc etc.
If you set your sights realistically , you can show up with a civil drivers license and go racing in a street car.

If you want to blow a small fortune on a sub 11 sec car , you only end up racing others that have done the same.
The idea is to have some fun !!!! [as cheap as possible]
 
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Alatalo

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For a street racer , I would look at what Ford did with their FR500CJ drag package.
They used stock Mustang GT front springs and V6 rear springs

Comparing calculations of my OEM car versus all generations of the S197 Cobra Jet is very much in my plan. Just to try to understand what Ford was looking for with the Cobra Jets.

The challenge will still be to find accurate spring rate and spring free length measurements as well as damping data from the dampers used. I can (and will, but not until beginning of next year) measure everything in my car and I have access to spring rate testers as well as shock absorber dynamometers. But purchasing a number of springs and dampers just to have them measured might get expensive.
 

kerrynzl

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Ford's main priority is to use propriety parts from their own parts bin.
And even though there is a lot of specialty knowledge out there, the level of skilled engineers at the factories is very high.[and big budgets]

With cornering ,weight transfer / body roll is not desirable, But with straight line acceleration it actually is.
So softer suspension will help promote weight transfer





What
 

Alatalo

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Ford's main priority is to use propriety parts from their own parts bin.
And even though there is a lot of specialty knowledge out there, the level of skilled engineers at the factories is very high.

Even though the people behind the Cobra Jet cars are skilled engineers, for sure the first S197 Cobra Jet was a case of emptying the spare parts stock. The spring choice indicates they simply picked the most suitable OEM springs based on their target. Maybe based on cost, maybe based on delivery times, maybe they were just good enough for the task…?

Later generations of S197 Cobra Jets did actually get special made springs, which I believe were sold under part numbers M-5300-R and RA. Again, difficult to find quality information regarding rates and free lengths.

Apparently, the R’s dropped the car a lot and were super stiff in the rear where the RA’s are said to be a lot softer but just marketed as ”new and improved rear springs compared to R’s”.

I find it hard to believe Ford’s engineers shifted strategy completely, so there is for sure something in this that ties in with the geometry of each car. In any case, interesting to analyze, but difficult to find quality information.
 

Pentalab

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Even though the people behind the Cobra Jet cars are skilled engineers, for sure the first S197 Cobra Jet was a case of emptying the spare parts stock. The spring choice indicates they simply picked the most suitable OEM springs based on their target. Maybe based on cost, maybe based on delivery times, maybe they were just good enough for the task…?

Later generations of S197 Cobra Jets did actually get special made springs, which I believe were sold under part numbers M-5300-R and RA. Again, difficult to find quality information regarding rates and free lengths.

Apparently, the R’s dropped the car a lot and were super stiff in the rear where the RA’s are said to be a lot softer but just marketed as ”new and improved rear springs compared to R’s”.

I find it hard to believe Ford’s engineers shifted strategy completely, so there is for sure something in this that ties in with the geometry of each car. In any case, interesting to analyze, but difficult to find quality information.
What did the time slips say ?
 

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