Moment due to Vertical Force on Wheels during Steering Calculator

⤿

Front Axle and Steering

Driveline

Race Car Vehicle Dynamics

Suspension Geometry

Vehicle Collision

⤿

Moments, Loads, Angles acting on Steering system and Axles

Movement Ratio

Pivot Centre, Wheel Base and Track

Steering System

Turning Radius

⤿

Moments Acting on Steering System and Axles

Angles Acting on Steering System and Axles

✖Vertical Load on Left Wheels is the load acting in z-direction on the left wheels vertically.ⓘ Vertical Load on Left Wheels [F_zl]			+10% -10%
✖Vertical Load on Right Wheels is the load acting on the right wheels vertically during steering.ⓘ Vertical Load on Right Wheels [F_zr]			+10% -10%
✖Lateral Offset at Ground is the offset of the wheels from their usual position after steering.ⓘ Lateral Offset at Ground [d_L]			+10% -10%
✖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.ⓘ Caster Angle [ν]			+10% -10%
✖Steer Angle is the angle made by the wheel with respect to the vertical when steering is rotated.ⓘ Steer Angle [δ]			+10% -10%
✖Lateral Inclination Angle is the inclination of the kingpin with respect to the vertical axis laterally.ⓘ Lateral Inclination Angle [λ_l]			+10% -10%

✖Moment arising from vertical forces on wheels is the moment arising on the front wheels due to the application of vertical forces on them during steering.ⓘ Moment due to Vertical Force on Wheels during Steering [M_v]

⎘ Copy

👎

Formula

✖

Moment due to Vertical Force on Wheels during Steering

Formula

`"M"_{"v"} = (("F"_{"zl"}-"F"_{"zr"})*"d"_{"L"}*sin("ν")*cos("δ"))-(("F"_{"zl"}+"F"_{"zr"})*"d"_{"L"}*sin("λ"_{"l"})*sin("δ"))`

Example

`"0.108424N*m"=(("650N"-"600N")*"0.04m"*sin("4.5°")*cos("0.32°"))-(("650N"+"600N")*"0.04m"*sin("10°")*sin("0.32°"))`

Calculator

LaTeX

Reset

👍

Download Moments, Loads, Angles acting on Steering system and Axles Formulas PDF PDF Image

Moment due to Vertical Force on Wheels during Steering Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment arising from Vertical Forces on Wheels = ((Vertical Load on Left Wheels-Vertical Load on Right Wheels)*Lateral Offset at Ground*sin(Caster Angle)*cos(Steer Angle))-((Vertical Load on Left Wheels+Vertical Load on Right Wheels)*Lateral Offset at Ground*sin(Lateral Inclination Angle)*sin(Steer Angle))
M_v = ((F_zl-F_zr)*d_L*sin(ν)*cos(δ))-((F_zl+F_zr)*d_L*sin(λ_l)*sin(δ))
This formula uses 2 Functions, 7 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Moment arising from Vertical Forces on Wheels - (Measured in Newton Meter) - Moment arising from vertical forces on wheels is the moment arising on the front wheels due to the application of vertical forces on them during steering.
Vertical Load on Left Wheels - (Measured in Newton) - Vertical Load on Left Wheels is the load acting in z-direction on the left wheels vertically.
Vertical Load on Right Wheels - (Measured in Newton) - Vertical Load on Right Wheels is the load acting on the right wheels vertically during steering.
Lateral Offset at Ground - (Measured in Meter) - Lateral Offset at Ground is the offset of the wheels from their usual position after steering.
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.
Steer Angle - (Measured in Radian) - Steer Angle is the angle made by the wheel with respect to the vertical when steering is rotated.
Lateral Inclination Angle - (Measured in Radian) - Lateral Inclination Angle is the inclination of the kingpin with respect to the vertical axis laterally.

STEP 1: Convert Input(s) to Base Unit

Vertical Load on Left Wheels: 650 Newton --> 650 Newton No Conversion Required
Vertical Load on Right Wheels: 600 Newton --> 600 Newton No Conversion Required
Lateral Offset at Ground: 0.04 Meter --> 0.04 Meter No Conversion Required
Caster Angle: 4.5 Degree --> 0.0785398163397301 Radian (Check conversion here)
Steer Angle: 0.32 Degree --> 0.0055850536063808 Radian (Check conversion here)
Lateral Inclination Angle: 10 Degree --> 0.1745329251994 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_v = ((F_zl-F_zr)*d_L*sin(ν)*cos(δ))-((F_zl+F_zr)*d_L*sin(λ_l)*sin(δ)) --> ((650-600)*0.04*sin(0.0785398163397301)*cos(0.0055850536063808))-((650+600)*0.04*sin(0.1745329251994)*sin(0.0055850536063808))

Evaluating ... ...

M_v = 0.108424277153825

STEP 3: Convert Result to Output's Unit

0.108424277153825 Newton Meter --> No Conversion Required

FINAL ANSWER

0.108424277153825 ≈ 0.108424 Newton Meter <-- Moment arising from Vertical Forces on Wheels

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Automobile » Front Axle and Steering » Moments, Loads, Angles acting on Steering system and Axles » Moments Acting on Steering System and Axles » Moment due to Vertical Force on Wheels during Steering

Credits

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

Kartikay Pandit has verified this Calculator and 400+ more calculators!

< 4 Moments Acting on Steering System and Axles Calculators

Moment due to Vertical Force on Wheels during Steering

Go Moment arising from Vertical Forces on Wheels = ((Vertical Load on Left Wheels-Vertical Load on Right Wheels)*Lateral Offset at Ground*sin(Caster Angle)*cos(Steer Angle))-((Vertical Load on Left Wheels+Vertical Load on Right Wheels)*Lateral Offset at Ground*sin(Lateral Inclination Angle)*sin(Steer Angle))

Moment about Steeraxis due to Driveline Torque

Go Moment about Steeraxis due to Driveline Torque = Tractive Force*((Distance between Steeraxis and Tire center*cos(Caster Angle)*cos(Lateral Inclination Angle))+(Radius of Tire*sin(Lateral Inclination Angle+Angle made by Front Axle with Horizontal)))

Moment Arising due to Lateral Forces on Wheels during Steering

Go Moment on Wheels Arising from Lateral Force = (Lateral Force on Left Wheels+Lateral Force on Right Wheels)*Radius of Tire*tan(Caster Angle)

Moment Arising from Traction Force on Wheels during Steering

Go Moment Arising from Traction Force = (Tractive Force on Left Wheels-Tractive Force on Right Wheels)*Lateral Offset at Ground

Moment due to Vertical Force on Wheels during Steering Formula

Why is the moment induced due to vertical forces during steering?

The reaction in the steering system is described by the moment produced on the steer axis, which must be resisted to control the wheel steer angle. The sum of moments from the left and right wheels acting through the steering linkages with their associated ratios and efficiencies account for the steering-wheel torque feedback to the driver.

How to Calculate Moment due to Vertical Force on Wheels during Steering?

Moment due to Vertical Force on Wheels during Steering calculator uses Moment arising from Vertical Forces on Wheels = ((Vertical Load on Left Wheels-Vertical Load on Right Wheels)*Lateral Offset at Ground*sin(Caster Angle)*cos(Steer Angle))-((Vertical Load on Left Wheels+Vertical Load on Right Wheels)*Lateral Offset at Ground*sin(Lateral Inclination Angle)*sin(Steer Angle)) to calculate the Moment arising from Vertical Forces on Wheels, The Moment due to vertical force on wheels during steering formula is defined as total moment from left and right wheels when steering is rotated and vertical forces are considered. Moment arising from Vertical Forces on Wheels is denoted by M_v symbol.

How to calculate Moment due to Vertical Force on Wheels during Steering using this online calculator? To use this online calculator for Moment due to Vertical Force on Wheels during Steering, enter Vertical Load on Left Wheels (F_zl), Vertical Load on Right Wheels (F_zr), Lateral Offset at Ground (d_L), Caster Angle (ν), Steer Angle (δ) & Lateral Inclination Angle (λ_l) and hit the calculate button. Here is how the Moment due to Vertical Force on Wheels during Steering calculation can be explained with given input values -> 0.108424 = ((650-600)*0.04*sin(0.0785398163397301)*cos(0.0055850536063808))-((650+600)*0.04*sin(0.1745329251994)*sin(0.0055850536063808)).

FAQ

What is Moment due to Vertical Force on Wheels during Steering?

The Moment due to vertical force on wheels during steering formula is defined as total moment from left and right wheels when steering is rotated and vertical forces are considered and is represented as M_v = ((F_zl-F_zr)*d_L*sin(ν)*cos(δ))-((F_zl+F_zr)*d_L*sin(λ_l)*sin(δ)) or Moment arising from Vertical Forces on Wheels = ((Vertical Load on Left Wheels-Vertical Load on Right Wheels)*Lateral Offset at Ground*sin(Caster Angle)*cos(Steer Angle))-((Vertical Load on Left Wheels+Vertical Load on Right Wheels)*Lateral Offset at Ground*sin(Lateral Inclination Angle)*sin(Steer Angle)). Vertical Load on Left Wheels is the load acting in z-direction on the left wheels vertically, Vertical Load on Right Wheels is the load acting on the right wheels vertically during steering, Lateral Offset at Ground is the offset of the wheels from their usual position after steering, 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, Steer Angle is the angle made by the wheel with respect to the vertical when steering is rotated & Lateral Inclination Angle is the inclination of the kingpin with respect to the vertical axis laterally.

How to calculate Moment due to Vertical Force on Wheels during Steering?

The Moment due to vertical force on wheels during steering formula is defined as total moment from left and right wheels when steering is rotated and vertical forces are considered is calculated using Moment arising from Vertical Forces on Wheels = ((Vertical Load on Left Wheels-Vertical Load on Right Wheels)*Lateral Offset at Ground*sin(Caster Angle)*cos(Steer Angle))-((Vertical Load on Left Wheels+Vertical Load on Right Wheels)*Lateral Offset at Ground*sin(Lateral Inclination Angle)*sin(Steer Angle)). To calculate Moment due to Vertical Force on Wheels during Steering, you need Vertical Load on Left Wheels (F_zl), Vertical Load on Right Wheels (F_zr), Lateral Offset at Ground (d_L), Caster Angle (ν), Steer Angle (δ) & Lateral Inclination Angle (λ_l). With our tool, you need to enter the respective value for Vertical Load on Left Wheels, Vertical Load on Right Wheels, Lateral Offset at Ground, Caster Angle, Steer Angle & Lateral Inclination Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search