Vehicle Forces For Driving Up Slope Equations and Calculator

Car vehicle driving up a slope equation and calculator

Car up Slope

Equations behind the Vehicle Forces For Driving Up Slope Calculator

System: input data in BOLD, Result in RED Values
Rear wheels' diameter, Drw (mm)  
Front wheels' diameter, Dfw (mm)  
Distance between wheels, Lw (mm)  
Distance center of front wheel to center of gravity, Lcg (mm)  
Height of center of mass about plane, hmg (mm)  
Slope angle, theta (deg, rad)
Machine mass, m (kg)  
Machine weight, mg (N)  
Maximum drive torque applied to both rear wheels, grw (N-mm)  
Maximum drive torque applied to both front wheels, gfw (N-mm)  
Coefficient of friction, mu  
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  
Nice and easy slow drive up the ramp (no acceleration)    
Normal force between both rear wheels and ground, FNr (N)  
Normal force between both front wheels and step FNf (N)  
Maximum rear wheel tractive force from drive torque, Frwmax (N)  
Maximum rear wheel force from drive torque, Ffwmax (N)  
Maximum rear wheel tractive force before slip, Frwmumax (N)  
Maximum front wheel tractive force before slip, Ffwmumax (N)  
Total tractive force generated by both rear wheels, FTr (N)  
Total tractive effort required by both front wheels, FTf (N)  
Total tractive effort of the machine, FTm (N)  
Force from gravity acting along the incline, Fg (N)  
Can the machine climb up the ramp?  
Tip-over angle (deg, rad)
Required minimum friction coefficients:    
Front wheel drive only required coefficient of friction  
Rear wheel drive only required coefficient of friction  
All wheel drive required coefficient of friction  
CT ST

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