
Formular for calculating the centre of gravity
The sum of all moments about a point is equal to zero.
This means:
Mh = 0
(Gv1 + Gh1) * Xh1 = Gv1 * RS1 (1)
Xh1 = (Gv1 * RS1)/(Gv1 + Gh1) (2)
The new wheelbase RS2 after raising an axle is calculated as follows:
RS2 = (RS12 – a2)1/2 (3)
Xh2 is calculated in the same way as Xh1:
Xh2 = (Gv2 * RS2) / (Gv2 + Gh2) (4)
The centre of gravity height z is calculated from:
Z = tan ß * y (5)
The unknown angle ß can be calculated from:
cos ß = a / RS1 (6) therefore, the value for ß is
ß = cos 1 (a/RS1) (7)
The necessary y is given by the equation:
Y = Xh1 - (u2 + Xh22)1/2 (8)
The values for Xh1 and Xh2 have already been calculated with equations (2) and (4), the necessary u is calculated as follows:
a / RS2 = u / Xh2 (9) and leads to the following equation
u = a * Xh2 / RS2