Understeer Increment due to Steering System Compliance Calculator

✖Weight under Front Axle is the total weight of the vehicle's front axle, including the wheels, brakes, and suspension, when the vehicle is at rest.ⓘ Weight under Front Axle [W_f]			+10% -10%
✖Radius of Turn is the distance from the center of rotation to the center of the vehicle's rear axle during a turn in a steering system.ⓘ Radius of Turn [R]			+10% -10%
✖Caster Angle is the angle between the vertical line and the steering axis, measured from the vertical line, affecting the steering system's stability and alignment.ⓘ Caster Angle [Ψ_c]			+10% -10%
✖Pneumatic Trail of Tire is the distance between the point where the vertical load is applied and the point where the vertical force is generated.ⓘ Pneumatic Trail of Tire [t_p]			+10% -10%
✖Effective Stiffness of Steering System is the measure of a vehicle's steering system's ability to resist deformation under external forces, affecting handling and stability.ⓘ Effective Stiffness of Steering System [K_ss]			+10% -10%

✖Under Steer Increment due to Steering Compliance is the change in understeer resulting from the flexibility of a vehicle's steering system during cornering.ⓘ Understeer Increment due to Steering System Compliance [K_strg]

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Understeer Increment due to Steering System Compliance

Formula

K strg = \frac{W f \cdot (R \cdot Ψ c + t p)}{K ss}

Example

0.282188 rad = \frac{1000 N \cdot (10000 mm \cdot 0.067547 rad + 30 mm)}{2500 N*m}

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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*(Radius of Turn*Caster Angle+Pneumatic Trail of Tire))/Effective Stiffness of Steering System
K_strg = (W_f*(R*Ψ_c+t_p))/K_ss
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 in understeer resulting from the flexibility of a vehicle's steering system during cornering.
Weight under Front Axle - (Measured in Newton) - Weight under Front Axle is the total weight of the vehicle's front axle, including the wheels, brakes, and suspension, when the vehicle is at rest.
Radius of Turn - (Measured in Meter) - Radius of Turn is the distance from the center of rotation to the center of the vehicle's rear axle during a turn in a steering system.
Caster Angle - (Measured in Radian) - Caster Angle is the angle between the vertical line and the steering axis, measured from the vertical line, affecting the steering system's stability and alignment.
Pneumatic Trail of Tire - (Measured in Meter) - Pneumatic Trail of Tire is the distance between the point where the vertical load is applied and the point where the vertical force is generated.
Effective Stiffness of Steering System - (Measured in Newton Meter) - Effective Stiffness of Steering System is the measure of a vehicle's steering system's ability to resist deformation under external forces, affecting handling and stability.

STEP 1: Convert Input(s) to Base Unit

Weight under Front Axle: 1000 Newton --> 1000 Newton No Conversion Required
Radius of Turn: 10000 Millimeter --> 10 Meter (Check conversion here)
Caster Angle: 0.067547 Radian --> 0.067547 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

K_strg = (W_f*(R*Ψ_c+t_p))/K_ss --> (1000*(10*0.067547+0.03))/2500

Evaluating ... ...

K_strg = 0.282188

STEP 3: Convert Result to Output's Unit

0.282188 Radian --> No Conversion Required

FINAL ANSWER

0.282188 Radian <-- Under Steer Increment due to Steering Compliance

(Calculation completed in 00.004 seconds)

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Home » Physics » Automobile » Front Axle and Steering » Steering System » Mechanical » Steering Parameters » Understeer Increment due to Steering System Compliance

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Created by Syed Adnan

Ramaiah University of Applied Sciences (RUAS), bangalore

Syed Adnan has created this Calculator and 200+ more calculators!

Verified by Kartikay Pandit

National Institute Of Technology (NIT), Hamirpur

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Understeer Increment due to Steering System Compliance Formula

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*(Radius of Turn*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 a measure of the change in understeer behavior of a vehicle due to the flexibility of the steering system, which affects the vehicle's handling and stability during cornering or turning maneuvers. Under Steer Increment due to Steering Compliance is denoted by K_strg 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 (W_f), Radius of Turn (R), Caster Angle (Ψ_c), Pneumatic Trail of Tire (t_p) & Effective Stiffness of Steering System (K_ss) and hit the calculate button. Here is how the Understeer Increment due to Steering System Compliance calculation can be explained with given input values -> 0.282188 = (1000*(10*0.067547+0.03))/2500.

FAQ

What is Understeer Increment due to Steering System Compliance?

Understeer Increment due to Steering System Compliance formula is defined as a measure of the change in understeer behavior of a vehicle due to the flexibility of the steering system, which affects the vehicle's handling and stability during cornering or turning maneuvers and is represented as K_strg = (W_f*(R*Ψ_c+t_p))/K_ss or Under Steer Increment due to Steering Compliance = (Weight under Front Axle*(Radius of Turn*Caster Angle+Pneumatic Trail of Tire))/Effective Stiffness of Steering System. Weight under Front Axle is the total weight of the vehicle's front axle, including the wheels, brakes, and suspension, when the vehicle is at rest, Radius of Turn is the distance from the center of rotation to the center of the vehicle's rear axle during a turn in a steering system, Caster Angle is the angle between the vertical line and the steering axis, measured from the vertical line, affecting the steering system's stability and alignment, Pneumatic Trail of Tire is the distance between the point where the vertical load is applied and the point where the vertical force is generated & Effective Stiffness of Steering System is the measure of a vehicle's steering system's ability to resist deformation under external forces, affecting handling and stability.

How to calculate Understeer Increment due to Steering System Compliance?

Understeer Increment due to Steering System Compliance formula is defined as a measure of the change in understeer behavior of a vehicle due to the flexibility of the steering system, which affects the vehicle's handling and stability during cornering or turning maneuvers is calculated using Under Steer Increment due to Steering Compliance = (Weight under Front Axle*(Radius of Turn*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 (W_f), Radius of Turn (R), Caster Angle (Ψ_c), Pneumatic Trail of Tire (t_p) & Effective Stiffness of Steering System (K_ss). With our tool, you need to enter the respective value for Weight under Front Axle, Radius of Turn, 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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