Vehicle Forces Equations and Calculator

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See Equations dehind this calculator
Vehicle Driving Forces Equations

This Calculator will determine the forces, momentum and physics of a four wheeled vehical driving over various conditions.

For the equations behind Vehicle Driving Forces Calculator


System: Input data in BOLD, Results in RED
Rear wheel diameter, Drw (mm)
Front wheel diameter, Dfw (mm)
Distance between wheels, Lw (mm)
Distance center of front wheel to center of gravity, Lcg (mm)
Step height, h (mm)
Contact angle, theta (deg, rad)
Machine mass, m (kg)
Machine weight, mg (N)
Rear wheel coefficient of friction, murw
Front wheel coefficient of friction, mufw
Maximum total drive torque applied to both rear wheels, grw (N-mm)
Maximum total drive torque applied to both front wheels, gfw (N-mm)
for FWD gf = 1 and gr = 0, for RWD gf = 0 and gr = 1, and for AWD gf = 1 and gr = 1
Enter 1 for rear wheel drive or AWD, gr
Enter 1 for front wheel drive or AWD, gf
Option 1: Nice and easy slow drive over the step 2 wheels contact 1 wheel contact
Normal force between a rear wheel and the ground, FNr/2 (N)
Minimum required coefficient of friction, mumin2, mumin1
Normal force between a front wheel and the step FNf/2 (N)
Total motor tractive effort, gm (N)
Total motor limited tractive force from from both rear wheels, Frwmax (N)
Total motor limited tractive force from from both front wheels, Ffwmax (N)
Total friction limited tractive effort, gmu (N)
Total friction limited tractive force rear wheels before slip, Frwmumax (N)
Total friction limited tractive force rear wheels before slip, Ffwmumax (N)
Total minimum tractive effort required, gmin (N)
Total tractive effort required by both rear wheels, FTr (N)
Total tractive effort required by both front wheels, FTf (N)
Step Climable?
Can the machine climb over the step?
Option 2:  Ramming speed!
Ideal forward velocity required to get over the step, v (mm/s)
D potential energy on top of step, DPE (N-m)

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