Understeer Increment due to Steering System Compliance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Under Steer Increment due to Steering Compliance = (Weight under Front Axle*(Turning Radius of Car*Caster Angle+Pneumatic Trail of Tire))/Effective Stiffness of Steering System
Kstrg = (Wf*(Rturn*K+p))/Kss
This formula uses 6 Variables
Variables Used
Under Steer Increment due to Steering Compliance - (Measured in Radian) - Under Steer Increment due to Steering Compliance is the change or increase in angle of the under steer condition during steering.
Weight under Front Axle - (Measured in Newton) - Weight under Front Axle is the weight of the vehicle on the front axle.
Turning Radius of Car - (Measured in Meter) - Turning Radius of Car is defined as the radius of the circle described by the outside wheels when turning on full lock.
Caster Angle - (Measured in Radian) - Caster Angle is the angle that identifies the forward or backward slope of a line that is drawn through the upper and lower steering pivot points.
Pneumatic Trail of Tire - (Measured in Meter) - Pneumatic Trail of Tire is a trail-like effect generated by compliant tires rolling on a hard surface and subject to side loads, as in a turn.
Effective Stiffness of Steering System - (Measured in Newton Meter) - Effective Stiffness of Steering System is the steering stiffness between the road wheels and steering wheel.
STEP 1: Convert Input(s) to Base Unit
Weight under Front Axle: 1000 Newton --> 1000 Newton No Conversion Required
Turning Radius of Car: 10000 Millimeter --> 10 Meter (Check conversion here)
Caster Angle: 0.06 Radian --> 0.06 Radian No Conversion Required
Pneumatic Trail of Tire: 30 Millimeter --> 0.03 Meter (Check conversion here)
Effective Stiffness of Steering System: 2500 Newton Meter --> 2500 Newton Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Kstrg = (Wf*(Rturn*K+p))/Kss --> (1000*(10*0.06+0.03))/2500
Evaluating ... ...
Kstrg = 0.252
STEP 3: Convert Result to Output's Unit
0.252 Radian --> No Conversion Required
FINAL ANSWER
0.252 Radian <-- Under Steer Increment due to Steering Compliance
(Calculation completed in 00.004 seconds)

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Created by Syed Adnan
Ramaiah University of Applied Sciences (RUAS), bangalore
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6 Steering System Calculators

Understeer Gradient
Go Understeer Gradient = (Load on Front Axle at High Speed Cornering/(Acceleration due to Gravity*Cornering Stiffness of Front Wheels))-(Load on Rear Axle at High Speed Cornering/(Acceleration due to Gravity*Cornering Stiffness of Rear Wheels))
Understeer Increment due to Steering System Compliance
Go Under Steer Increment due to Steering Compliance = (Weight under Front Axle*(Turning Radius of Car*Caster Angle+Pneumatic Trail of Tire))/Effective Stiffness of Steering System
Pinion Pitch Circle Radius
Go Pinion Pitch Circle Radius = (Number of Pinion Teeth*Linear or Circular Pitch)/(2*pi)
Steering Ratio
Go Steering Ratio = Steering Wheel Radius/Pinion Pitch Circle Radius
Motion Ratio or Installation Ratio in Suspension
Go Motion Ratio in Suspension = Spring/Shock Travel/Wheel Travel
Torque Acting on Steering Arm
Go Torque = Frictional Force*Scrub Radius

Understeer Increment due to Steering System Compliance Formula

Under Steer Increment due to Steering Compliance = (Weight under Front Axle*(Turning Radius of Car*Caster Angle+Pneumatic Trail of Tire))/Effective Stiffness of Steering System
Kstrg = (Wf*(Rturn*K+p))/Kss

What is under steer increment due to steering system compliance?

Compliance steer is a metric to measure the amount of self steer generated by a suspension system when it is subject to a cornering (lateral) load at the contact patch. On all production cars compliance steer gives an under steer tendency from the suspension (toe out on the front axle and toe in on the rear axle). Most mainstream production cars have lateral compliance steers somewhere between ~0.1 – 0.2 Deg/kn.

How to Calculate Understeer Increment due to Steering System Compliance?

Understeer Increment due to Steering System Compliance calculator uses Under Steer Increment due to Steering Compliance = (Weight under Front Axle*(Turning Radius of Car*Caster Angle+Pneumatic Trail of Tire))/Effective Stiffness of Steering System to calculate the Under Steer Increment due to Steering Compliance, Understeer increment due to steering system compliance formula is defined as the change in angle of the steering wheel due to the steering system compliance. Under Steer Increment due to Steering Compliance is denoted by Kstrg symbol.

How to calculate Understeer Increment due to Steering System Compliance using this online calculator? To use this online calculator for Understeer Increment due to Steering System Compliance, enter Weight under Front Axle (Wf), Turning Radius of Car (Rturn), Caster Angle (K), Pneumatic Trail of Tire (p) & Effective Stiffness of Steering System (Kss) and hit the calculate button. Here is how the Understeer Increment due to Steering System Compliance calculation can be explained with given input values -> 0.252 = (1000*(10*0.06+0.03))/2500.

FAQ

What is Understeer Increment due to Steering System Compliance?
Understeer increment due to steering system compliance formula is defined as the change in angle of the steering wheel due to the steering system compliance and is represented as Kstrg = (Wf*(Rturn*K+p))/Kss or Under Steer Increment due to Steering Compliance = (Weight under Front Axle*(Turning Radius of Car*Caster Angle+Pneumatic Trail of Tire))/Effective Stiffness of Steering System. Weight under Front Axle is the weight of the vehicle on the front axle, Turning Radius of Car is defined as the radius of the circle described by the outside wheels when turning on full lock, Caster Angle is the angle that identifies the forward or backward slope of a line that is drawn through the upper and lower steering pivot points, Pneumatic Trail of Tire is a trail-like effect generated by compliant tires rolling on a hard surface and subject to side loads, as in a turn & Effective Stiffness of Steering System is the steering stiffness between the road wheels and steering wheel.
How to calculate Understeer Increment due to Steering System Compliance?
Understeer increment due to steering system compliance formula is defined as the change in angle of the steering wheel due to the steering system compliance is calculated using Under Steer Increment due to Steering Compliance = (Weight under Front Axle*(Turning Radius of Car*Caster Angle+Pneumatic Trail of Tire))/Effective Stiffness of Steering System. To calculate Understeer Increment due to Steering System Compliance, you need Weight under Front Axle (Wf), Turning Radius of Car (Rturn), Caster Angle (K), Pneumatic Trail of Tire (p) & Effective Stiffness of Steering System (Kss). With our tool, you need to enter the respective value for Weight under Front Axle, Turning Radius of Car, Caster Angle, Pneumatic Trail of Tire & Effective Stiffness of Steering System 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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