Steering Angle at High Cornering Speed Solution

STEP 0: Pre-Calculation Summary
Formula Used
Ackermann Steering Angle at High Cornering Speed = 57.3*(Wheelbase of Vehicle/Radius of Turn)+(Slip Angle of Front Wheel-Slip Angle of Rear Wheel)
δH = 57.3*(b/R)+(αf-αr)
This formula uses 5 Variables
Variables Used
Ackermann Steering Angle at High Cornering Speed - (Measured in Radian) - Ackermann Steering Angle at High Cornering Speed is defined as the angle made by the tires with vertical when they are turned at higher speeds.
Wheelbase of Vehicle - (Measured in Meter) - Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle.
Radius of Turn - (Measured in Meter) - Radius of Turn is defined as the distance of the c.g of vehicle from the instantaneous center while taking a turn.
Slip Angle of Front Wheel - (Measured in Radian) - Slip angle of front wheel is defined as the angle between the direction of heading of the front tire and its direction of travel.
Slip Angle of Rear Wheel - (Measured in Radian) - Slip Angle of Rear Wheel is defined as the angle between the direction of heading of the tire and its direction of travel.
STEP 1: Convert Input(s) to Base Unit
Wheelbase of Vehicle: 2700 Millimeter --> 2.7 Meter (Check conversion here)
Radius of Turn: 10500 Millimeter --> 10.5 Meter (Check conversion here)
Slip Angle of Front Wheel: 0.24 Radian --> 0.24 Radian No Conversion Required
Slip Angle of Rear Wheel: 0.17 Radian --> 0.17 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
δH = 57.3*(b/R)+(αfr) --> 57.3*(2.7/10.5)+(0.24-0.17)
Evaluating ... ...
δH = 14.8042857142857
STEP 3: Convert Result to Output's Unit
14.8042857142857 Radian --> No Conversion Required
FINAL ANSWER
14.8042857142857 14.80429 Radian <-- Ackermann Steering Angle at High Cornering Speed
(Calculation completed in 00.019 seconds)

Credits

Created by Syed Adnan
Ramaiah University of Applied Sciences (RUAS), bangalore
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National Institute Of Technology (NIT), Hamirpur
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6 Angles Related to Steering System Calculators

Caster Angle
Go Caster Angle = sin(Camber 1)-sin(Camber 2)-(cos(Camber 2)*cos(Toe Angle 2)-cos(Camber 1)*cos(Toe Angle 1))*tan(Steering Axis Inclination)/(cos(Camber 2)*sin(Toe Angle 2)-cos(Camber 1)*sin(Toe Angle 1))
Steering Angle at High Cornering Speed
Go Ackermann Steering Angle at High Cornering Speed = 57.3*(Wheelbase of Vehicle/Radius of Turn)+(Slip Angle of Front Wheel-Slip Angle of Rear Wheel)
Steer Angle given Understeer Gradient
Go Steer Angle = (57.3*(Wheelbase of Vehicle/Radius of Turn))+(Understeer Gradient*Horizontal Lateral Acceleration)
Ackermann Steering Angle at Low Speed Cornering
Go Ackermann Steering Angle in Slow Speed cornering = Wheelbase of Vehicle/Radius of Turn
Slip Angle at High Cornering Speed
Go Slip Angle at High Cornering Speed = Cornering Force/Cornering Stiffness
Vehicle Body Slip Angle at High Cornering Speed
Go Vehicle Body Slip Angle = Lateral Velocity Component/Total Velocity

Steering Angle at High Cornering Speed Formula

Ackermann Steering Angle at High Cornering Speed = 57.3*(Wheelbase of Vehicle/Radius of Turn)+(Slip Angle of Front Wheel-Slip Angle of Rear Wheel)
δH = 57.3*(b/R)+(αf-αr)

What is steering angle at high cornering speed?

Steering angle means the angle between the projection of a longitudinal axis of the vehicle and the line of intersection of the wheel plane (being the central plane of the wheel, normal to the axis around which it rotates) and the road surface. At higher speeds, the lateral acceleration during cornering increases and it cannot be neglected. This gives rise to slip angles at the wheels and the tires produce lateral forces in order to counteract the lateral acceleration.

How to Calculate Steering Angle at High Cornering Speed?

Steering Angle at High Cornering Speed calculator uses Ackermann Steering Angle at High Cornering Speed = 57.3*(Wheelbase of Vehicle/Radius of Turn)+(Slip Angle of Front Wheel-Slip Angle of Rear Wheel) to calculate the Ackermann Steering Angle at High Cornering Speed, The Steering angle at high cornering speed formula is defined as the angle between the front of the vehicle and the steered wheel direction. Ackermann Steering Angle at High Cornering Speed is denoted by δH symbol.

How to calculate Steering Angle at High Cornering Speed using this online calculator? To use this online calculator for Steering Angle at High Cornering Speed, enter Wheelbase of Vehicle (b), Radius of Turn (R), Slip Angle of Front Wheel f) & Slip Angle of Rear Wheel r) and hit the calculate button. Here is how the Steering Angle at High Cornering Speed calculation can be explained with given input values -> 14.80429 = 57.3*(2.7/10.5)+(0.24-0.17).

FAQ

What is Steering Angle at High Cornering Speed?
The Steering angle at high cornering speed formula is defined as the angle between the front of the vehicle and the steered wheel direction and is represented as δH = 57.3*(b/R)+(αfr) or Ackermann Steering Angle at High Cornering Speed = 57.3*(Wheelbase of Vehicle/Radius of Turn)+(Slip Angle of Front Wheel-Slip Angle of Rear Wheel). Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle, Radius of Turn is defined as the distance of the c.g of vehicle from the instantaneous center while taking a turn, Slip angle of front wheel is defined as the angle between the direction of heading of the front tire and its direction of travel & Slip Angle of Rear Wheel is defined as the angle between the direction of heading of the tire and its direction of travel.
How to calculate Steering Angle at High Cornering Speed?
The Steering angle at high cornering speed formula is defined as the angle between the front of the vehicle and the steered wheel direction is calculated using Ackermann Steering Angle at High Cornering Speed = 57.3*(Wheelbase of Vehicle/Radius of Turn)+(Slip Angle of Front Wheel-Slip Angle of Rear Wheel). To calculate Steering Angle at High Cornering Speed, you need Wheelbase of Vehicle (b), Radius of Turn (R), Slip Angle of Front Wheel f) & Slip Angle of Rear Wheel r). With our tool, you need to enter the respective value for Wheelbase of Vehicle, Radius of Turn, Slip Angle of Front Wheel & Slip Angle of Rear Wheel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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