Moment Arising due to Lateral Forces on Wheels during Steering Calculator

✖Lateral Force on Left Wheels is the sideways force exerted on the left wheels of a vehicle, affecting its stability and directional control.ⓘ Lateral Force on Left Wheels [F_yl]			+10% -10%
✖Lateral Force on Right Wheels is the horizontal force exerted on the right wheels of a vehicle, affecting its stability and steering performance.ⓘ Lateral Force on Right Wheels [F_yr]			+10% -10%
✖Radius of Tire is the distance from the center of the wheel to the outer edge of the tire, affecting the forces on steering system and axles.ⓘ Radius of Tire [R_e]			+10% -10%
✖Caster Angle is the angle between the vertical line and the pivot line of the steering axis, affecting the stability and directional control of a vehicle.ⓘ Caster Angle [ν]			+10% -10%

✖Moment on Wheels Arising from Lateral Force is the turning effect around the axis of rotation caused by lateral forces acting on the wheels and axles.ⓘ Moment Arising due to Lateral Forces on Wheels during Steering [M_l]

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Moment Arising due to Lateral Forces on Wheels during Steering Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment on Wheels Arising from Lateral Force = (Lateral Force on Left Wheels+Lateral Force on Right Wheels)*Radius of Tire*tan(Caster Angle)
M_l = (F_yl+F_yr)*R_e*tan(ν)
This formula uses 1 Functions, 5 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Moment on Wheels Arising from Lateral Force - (Measured in Newton Meter) - Moment on Wheels Arising from Lateral Force is the turning effect around the axis of rotation caused by lateral forces acting on the wheels and axles.
Lateral Force on Left Wheels - (Measured in Newton) - Lateral Force on Left Wheels is the sideways force exerted on the left wheels of a vehicle, affecting its stability and directional control.
Lateral Force on Right Wheels - (Measured in Newton) - Lateral Force on Right Wheels is the horizontal force exerted on the right wheels of a vehicle, affecting its stability and steering performance.
Radius of Tire - (Measured in Meter) - Radius of Tire is the distance from the center of the wheel to the outer edge of the tire, affecting the forces on steering system and axles.
Caster Angle - (Measured in Radian) - Caster Angle is the angle between the vertical line and the pivot line of the steering axis, affecting the stability and directional control of a vehicle.

STEP 1: Convert Input(s) to Base Unit

Lateral Force on Left Wheels: 510 Newton --> 510 Newton No Conversion Required
Lateral Force on Right Wheels: 520 Newton --> 520 Newton No Conversion Required
Radius of Tire: 0.35 Meter --> 0.35 Meter No Conversion Required
Caster Angle: 4.5 Degree --> 0.0785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_l = (F_yl+F_yr)*R_e*tan(ν) --> (510+520)*0.35*tan(0.0785398163397301)

Evaluating ... ...

M_l = 28.3719653102696

STEP 3: Convert Result to Output's Unit

28.3719653102696 Newton Meter --> No Conversion Required

FINAL ANSWER

28.3719653102696 ≈ 28.37197 Newton Meter <-- Moment on Wheels Arising from Lateral Force

(Calculation completed in 00.004 seconds)

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Home » Physics » Automobile » Front Axle and Steering » Mechanical » Forces on Steering System and Axles » Moment Arising due to Lateral Forces on Wheels during Steering

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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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< Forces on Steering System and Axles Calculators

Self Aligning Moment or Torque on Wheels

LaTeX Go Self Aligning Moment = (Aligning Moment Acting on Left Tires+Aligning Moment on Right Tires)*cos(Lateral Inclination Angle)*cos(Caster Angle)

Front Slip Angle at High Cornering Speed

LaTeX Go Slip Angle of Front Wheel = Vehicle Body Slip Angle+(((Distance of c.g from Front Axle*Yaw Velocity)/Total Velocity)-Steer Angle)

Track Width of Vehicle using Ackermann Condition

LaTeX Go Track Width of Vehicle = (cot(Steering Angle Outer Wheel)-cot(Steering Angle Inner Wheel))*Wheelbase of Vehicle

Rear Slip Angle due to High Speed Cornering

LaTeX Go Slip Angle of Rear Wheel = Vehicle Body Slip Angle-((Distance of c.g from Rear Axle*Yaw Velocity)/Total Velocity)

Moment Arising due to Lateral Forces on Wheels during Steering Formula

LaTeX Go

Moment on Wheels Arising from Lateral Force = (Lateral Force on Left Wheels+Lateral Force on Right Wheels)*Radius of Tire*tan(Caster Angle)
M_l = (F_yl+F_yr)*R_e*tan(ν)

Why is the moment induced due to lateral forces while steering?

Lateral forces arise when tires encounter resistance while steering. This resistance creates a turning moment around the vehicle's vertical axis. This moment is essential for changing the vehicle's direction. Without this induced moment, the vehicle would not turn in response to steering input.

How to Calculate Moment Arising due to Lateral Forces on Wheels during Steering?

Moment Arising due to Lateral Forces on Wheels during Steering calculator uses Moment on Wheels Arising from Lateral Force = (Lateral Force on Left Wheels+Lateral Force on Right Wheels)*Radius of Tire*tan(Caster Angle) to calculate the Moment on Wheels Arising from Lateral Force, Moment Arising due to Lateral Forces on Wheels during Steering formula is defined as a measure of the rotational force that occurs when a vehicle's wheels are subjected to lateral forces during steering, which affects the vehicle's stability and handling. Moment on Wheels Arising from Lateral Force is denoted by M_l symbol.

How to calculate Moment Arising due to Lateral Forces on Wheels during Steering using this online calculator? To use this online calculator for Moment Arising due to Lateral Forces on Wheels during Steering, enter Lateral Force on Left Wheels (F_yl), Lateral Force on Right Wheels (F_yr), Radius of Tire (R_e) & Caster Angle (ν) and hit the calculate button. Here is how the Moment Arising due to Lateral Forces on Wheels during Steering calculation can be explained with given input values -> 28.37197 = (510+520)*0.35*tan(0.0785398163397301).

FAQ

What is Moment Arising due to Lateral Forces on Wheels during Steering?

Moment Arising due to Lateral Forces on Wheels during Steering formula is defined as a measure of the rotational force that occurs when a vehicle's wheels are subjected to lateral forces during steering, which affects the vehicle's stability and handling and is represented as M_l = (F_yl+F_yr)*R_e*tan(ν) or Moment on Wheels Arising from Lateral Force = (Lateral Force on Left Wheels+Lateral Force on Right Wheels)*Radius of Tire*tan(Caster Angle). Lateral Force on Left Wheels is the sideways force exerted on the left wheels of a vehicle, affecting its stability and directional control, Lateral Force on Right Wheels is the horizontal force exerted on the right wheels of a vehicle, affecting its stability and steering performance, Radius of Tire is the distance from the center of the wheel to the outer edge of the tire, affecting the forces on steering system and axles & Caster Angle is the angle between the vertical line and the pivot line of the steering axis, affecting the stability and directional control of a vehicle.

How to calculate Moment Arising due to Lateral Forces on Wheels during Steering?

Moment Arising due to Lateral Forces on Wheels during Steering formula is defined as a measure of the rotational force that occurs when a vehicle's wheels are subjected to lateral forces during steering, which affects the vehicle's stability and handling is calculated using Moment on Wheels Arising from Lateral Force = (Lateral Force on Left Wheels+Lateral Force on Right Wheels)*Radius of Tire*tan(Caster Angle). To calculate Moment Arising due to Lateral Forces on Wheels during Steering, you need Lateral Force on Left Wheels (F_yl), Lateral Force on Right Wheels (F_yr), Radius of Tire (R_e) & Caster Angle (ν). With our tool, you need to enter the respective value for Lateral Force on Left Wheels, Lateral Force on Right Wheels, Radius of Tire & Caster Angle 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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