Project

Lateral load transfer and Roll stiffness challenge

Sprung Mass [Ws]		Lbs	4500	Kg	2043	Newtons	20041.83
Rolling moment by Ws (lateral component)		ft-lb	7241.25	Nmm/g	1002038	Nmm	9829997
Total front roll stiffness [Kφf]	ft-lb/deg	1300	Nm/deg	1738.697	Nmm/deg	1736959
Total rear roll stiffness [Kφr]	ft-lb/deg	1100	Nm/deg	1471.205	Nmm/deg	1471205
Total roll stiffness [Kφ]	ft-lb/deg	2400	Nm/deg	3209.903	Nmm/deg	3208164
Tire Stiffness		Lbs/in	1500	N/m	263015.6	N/mm	263.0161
Front ride rate		lbs/in	200	N/m	35068.75	N/mm	35.06882
Rear ride rate		Lbs/in	250	N/m	43835.94	N/mm	43.83602

Sprung C.G. Height		in	20			mm	508
Msprung roll moment arm [harm]	in	19.31	ft	1.609167	mm	490.474
Track width [t]		in	58.6	ft	4.883333	mm	1488.44

Anti-roll bar properties:

Motion Ratio		in/in	0.5
Virtual torque arm \'A\'	in	9.2			mm	233.68
Centre length \'B\'		in	35			mm	889
Physical torque arm \'C\'	in	11			mm	279.4

Outer diameter		in	1.181102362			mm	30
Inner diameter		in	0.393700787			mm	10

Anti-roll bar calculations:

1]
Anti-Roll-bar stiffness (lb-ft/deg) [Kφauxilary]front	744.3148903		Nm/degree	995.49099

	961003.844	1.2479901
	1611.31168
% of front roll stiffness (auxilary)	57.25499156

Anti-Roll-bar stiffness (lb/in) [Kauxilary]front (Jounce)	149.1027242
Anti-Roll-bar stiffness (lb/in) [Kauxilary]front (roll)	298.2054484	744.31489

Rolling moment calculations:

2]	Nmm/g	Nm/g	lbs-ft	lbs-ft/g
Rolling moment lateral component/g [Mφ]lateral/Ay	1002038.382	1002.0384	7241.25	738.14985	9.81
Rolling moment Gravity component/g [Mφ]g/Ay	55670.56389	55.670564	402.304421	41.009625

Total rolling moment/g [Mφ]/Ay	1041529.739	1042.0942	7643.55442	779.15947

Roll gradient and load transfer:

3]	degree	deg/g
Roll gradient	3.1848143	0.32464978	9.81

	Newtons	N/g	lbs/g
4] Total lateral SPRUNG load transfer [dWsprung]	6604.2276	673.213823	151.15697
L.T. Due to unsprung mass	?
L.T. Due to direct loading [dWsprung direct]	235.98742
L.T. Due to elastic component or roll [dWroll]	6864.507	699.745867	159.55484

Roll stiffness at wheel centre with tyre isolation:

5]
	Lbs/in	lbs/ft	lbs-ft/degree
Tire stiffness	1500	18000	3743.97028
Front ride rate	200
Front Wheel rate	230.7692308	2769.2308	575.995427

Total Front roll stiffness (given)(at the tyres)	520.8374681	6250.0496	1300
By isolating tire stiffness,
New front roll stiffness (at the tyres):	797.8820437	9574.5845	1991.49777
Hence,
The Front roll stiffness at wheel centre	567.1128129	6805.3538	1415.50234

Drive link to the excel sheet:

Ship work like this
in your own course.