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From the chapter “Motion Ratios and Stiffness”

Suspension Measuring Palooza

Suspension Measuring Palooza
Suspension Measuring Palooza, photo 2
Suspension Measuring Palooza, photo 3

I spent two weeks of free time measuring the suspension motion ratios and anti-roll bar stiffness both front and rear. This will enable me to calculate Lateral Load Transfer Distribution (LLTD). Therefore, I can get useful information on how new suspension components or settings will affect the steady state handling of the car without having to change anything physically. This will enable me to focus on small fine-tuning adjustments at the track instead of going through the trial and error of major changes.

Measurements were done multiple times to verify the accuracy

The measurements were done with tape measures, a digital caliper, and a hanging scale. These tools have their limits, but all results were measured at least twice to confirm accuracy to the best of my ability.

I did not measure the Rear Soft Anti Roll Bar motion ratio early on due to a fitment issue. I was able to resolve the problem of measuring the soft setting stiffness but did not revisit the motion ratio. As you can see, the medium and hard rear anti-sway bar motion ratios are very similar. A linear extrapolation for the soft setting is close enough for my intended purposes.

These measurements were taken on a 2011 Subaru WRX STi with a 24 mm front Whiteline anti-roll bar and a 22 mm rear Whiteline anti-roll bar

Front anti-roll bar stiffness (Whiteline 24 mm)
03006009001,2001,5001,800051015202530Bar movement (mm)Force (N)
  • Front position 55.5 N/mm avg
  • Aft position 54.7 N/mm avg
Front bar: front position
Position (mm)Movement (mm)Force (kg)Force (N)Stiffness (N/mm)
1400.000.0–
21725.90254.136.3
251155.65545.949.6
291590.00882.958.9
3319125.801,234.165.0
36.522.5146.001,432.363.7
4127164.801,616.759.9
Average stiffness55.5
Front bar: aft position
Position (mm)Movement (mm)Force (kg)Force (N)Stiffness (N/mm)
1400.000.0–
21733.00323.746.2
251158.50573.952.2
291588.30866.257.7
33.519.5121.001,187.060.9
38.524.5141.001,383.256.5
Average stiffness54.7

The most notable finding during the suspension measurements is that the two holes on my 24mm front sway bar are effectively the same stiffness. The front may be marginally stiffer at large deflections.

Rear anti-roll bar stiffness (Whiteline 22 mm)
03006009001,2001,5001,800051015202530Bar movement (mm)Force (N)
  • Soft 53.1 N/mm avg
  • Medium 61.1 N/mm avg
  • Hard 82.8 N/mm avg
Rear bar: soft
Position (mm)Movement (mm)Force (kg)Force (N)Stiffness (N/mm)
5900.000.0–
66730.50299.242.7
711264.50632.752.7
741583.00814.254.3
7718102.401,004.555.8
7920122.501,201.760.1
Average stiffness53.1
Rear bar: medium
Position (mm)Movement (mm)Force (kg)Force (N)Stiffness (N/mm)
5600.000.0–
61524.55240.848.2
64844.40435.654.4
661067.80665.166.5
701493.50917.265.5
7317123.101,207.671.0
Average stiffness61.1
Rear bar: hard
Position (mm)Movement (mm)Force (kg)Force (N)Stiffness (N/mm)
46100.000.0–
464327.00264.988.3
467647.50466.077.7
470972.85714.779.4
471.510.589.80880.983.9
47413112.501,103.684.9
Average stiffness82.8

The rear anti-roll bar stiffness setting demonstrated expected levels of increased rigidity between settings.

Front and rear anti-roll bars compared
03006009001,2001,5001,800051015202530Bar movement (mm)Force (N)
  • Front bar, front position 55.5 N/mm avg
  • Front bar, aft position 54.7 N/mm avg
  • Rear bar, soft 53.1 N/mm avg
  • Rear bar, medium 61.1 N/mm avg
  • Rear bar, hard 82.8 N/mm avg

The most interesting finding was graphing the front and rear ARBs together. The front 24mm bar is similar in stiffness to the rear 22mm soft setting. This is most likely because of the extra bends that have to be made in the front ARB to fit the front sub frame. This is likely true on most vehicles because it is easier to package a rear sway bar that fits the ideal u shape for rigidity. The more the bars have to be bent to fit around steering components in the front, the more their stiffness is reduced.

Front motion ratios

Strut (wheel to strut)
Hub (mm)Strut (mm)Hub movementStrut movementMotion ratio (hub/strut)
470595–––
45161519200.950
43063621211.000
40666024241.000
388679.51819.50.923
3736961516.50.909
Average motion ratio0.956
Anti-roll bar, front position
Hub (mm)ARB (mm)Hub movementARB movementMotion ratio (hub/arb)
470157–––
45114719101.900
43013621111.909
40612324131.846
38811218111.636
3731061562.500
Average motion ratio1.958
Anti-roll bar, aft position
Hub (mm)ARB (mm)Hub movementARB movementMotion ratio (hub/arb)
470156–––
44114329132.231
41612725161.562
4001191682.000
3861111481.750
37110115101.500
Average motion ratio1.823

Rear motion ratios

Strut (wheel to strut)
Hub (mm)Strut (mm)Hub movementStrut movementMotion ratio (hub/strut)
512264–––
48824524191.263
46722721181.167
44621021171.235
42619220181.111
40717619161.188
38715920171.193
3761501191.222
Average motion ratio1.197
Anti-roll bar, medium
Hub (mm)ARB (mm)Hub movementARB movementMotion ratio (hub/arb)
512212–––
49220220102.000
47219020121.667
45317919111.727
43316720121.667
4171581691.778
Average motion ratio1.768
Anti-roll bar, hard
Hub (mm)ARB (mm)Hub movementARB movementMotion ratio (hub/arb)
512212–––
48819924131.846
46818820111.818
44817620121.667
4351671391.444
426162951.800
Average motion ratio1.783

Above is the motion ratio for the front and rear. The average is a simplification. Keep in mind that in reality, as can be seen in the data, the motion ratio changes somewhat as the wheel moves through its arc of travel. However, for my intentions of calculating basic LLTD, the average will work just fine. Also, you will find the same motion ratios for the front and rear anti-roll bars. Keep in mind the ARB motion ratios are only valid for a front 24mm Whiteline bar and a 22mm rear Whiteline bar for a GR STi. They are probably close enough for similar products by other manufacturers for the GR STi.

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