Moment about Steeraxis due to Driveline Torque Calculator

✖Tractive Force is the force that propels a vehicle forward, generated by the interaction between the wheels and the road surface, affecting steering system and axles.ⓘ Tractive Force [F_x]			+10% -10%
✖Distance between Steeraxis and Tire center is the length between the steering axis and the center of the tire, affecting the steering system's performance.ⓘ Distance between Steeraxis and Tire center [d]			+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%
✖Lateral Inclination Angle is the angle between the vertical plane and the axis of the axle, affecting the stability and steering of a vehicle.ⓘ Lateral Inclination Angle [λ_l]			+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%
✖Angle made by Front Axle with Horizontal is the inclination of the front axle relative to the horizontal plane of the vehicle's steering system.ⓘ Angle made by Front Axle with Horizontal [ζ]			+10% -10%

✖Moment about Steeraxis due to Driveline Torque is the rotational force that causes the steer axis to turn due to the driveline torque's twisting action.ⓘ Moment about Steeraxis due to Driveline Torque [M_sa]

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Formula

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Moment about Steeraxis due to Driveline Torque

Formula

M sa = F x \cdot ((d \cdot \cos (ν) \cdot \cos (λ l)) + (R e \cdot \sin (λ l + ζ)))

Example

170.3342 N*m = 450 N \cdot ((0.21 m \cdot \cos (4.5 °) \cdot \cos (10 °)) + (0.35 m \cdot \sin (10 ° + 19.5 °)))

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Moment about Steeraxis due to Driveline Torque Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
M_sa = F_x*((d*cos(ν)*cos(λ_l))+(R_e*sin(λ_l+ζ)))
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 about Steeraxis due to Driveline Torque - (Measured in Newton Meter) - Moment about Steeraxis due to Driveline Torque is the rotational force that causes the steer axis to turn due to the driveline torque's twisting action.
Tractive Force - (Measured in Newton) - Tractive Force is the force that propels a vehicle forward, generated by the interaction between the wheels and the road surface, affecting steering system and axles.
Distance between Steeraxis and Tire center - (Measured in Meter) - Distance between Steeraxis and Tire center is the length between the steering axis and the center of the tire, affecting the steering system's performance.
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.
Lateral Inclination Angle - (Measured in Radian) - Lateral Inclination Angle is the angle between the vertical plane and the axis of the axle, affecting the stability and steering of a vehicle.
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.
Angle made by Front Axle with Horizontal - (Measured in Radian) - Angle made by Front Axle with Horizontal is the inclination of the front axle relative to the horizontal plane of the vehicle's steering system.

STEP 1: Convert Input(s) to Base Unit

Tractive Force: 450 Newton --> 450 Newton No Conversion Required
Distance between Steeraxis and Tire center: 0.21 Meter --> 0.21 Meter No Conversion Required
Caster Angle: 4.5 Degree --> 0.0785398163397301 Radian (Check conversion here)
Lateral Inclination Angle: 10 Degree --> 0.1745329251994 Radian (Check conversion here)
Radius of Tire: 0.35 Meter --> 0.35 Meter No Conversion Required
Angle made by Front Axle with Horizontal: 19.5 Degree --> 0.34033920413883 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_sa = F_x*((d*cos(ν)*cos(λ_l))+(R_e*sin(λ_l+ζ))) --> 450*((0.21*cos(0.0785398163397301)*cos(0.1745329251994))+(0.35*sin(0.1745329251994+0.34033920413883)))

Evaluating ... ...

M_sa = 170.334157096998

STEP 3: Convert Result to Output's Unit

170.334157096998 Newton Meter --> No Conversion Required

FINAL ANSWER

170.334157096998 ≈ 170.3342 Newton Meter <-- Moment about Steeraxis due to Driveline Torque

(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 about Steeraxis due to Driveline Torque

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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

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

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

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

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

Moment about Steeraxis due to Driveline Torque Formula

Why does the moment induce on the steeraxis due to driveline torque?

The moment induced on the steer axis due to driveline torque occurs because the torque transmitted through the drivetrain creates rotational forces that affect the steering components. As the drivetrain generates torque, it can cause twisting forces on the vehicle’s suspension and steering system. These forces can result in a steering moment or torque on the steer axis, influencing the vehicle’s handling and steering response. This effect is often more noticeable during acceleration and can impact the stability and control of the vehicle.

How to Calculate Moment about Steeraxis due to Driveline Torque?

Moment about Steeraxis due to Driveline Torque calculator uses 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))) to calculate the Moment about Steeraxis due to Driveline Torque, Moment about Steeraxis due to Driveline Torque formula is defined as a measure of the turning force around the steer axis caused by the driveline torque, which affects the vehicle's steering and handling performance, and is an important parameter in the design and analysis of vehicle powertrains. Moment about Steeraxis due to Driveline Torque is denoted by M_sa symbol.

How to calculate Moment about Steeraxis due to Driveline Torque using this online calculator? To use this online calculator for Moment about Steeraxis due to Driveline Torque, enter Tractive Force (F_x), Distance between Steeraxis and Tire center (d), Caster Angle (ν), Lateral Inclination Angle (λ_l), Radius of Tire (R_e) & Angle made by Front Axle with Horizontal (ζ) and hit the calculate button. Here is how the Moment about Steeraxis due to Driveline Torque calculation can be explained with given input values -> 170.3342 = 450*((0.21*cos(0.0785398163397301)*cos(0.1745329251994))+(0.35*sin(0.1745329251994+0.34033920413883))).

FAQ

What is Moment about Steeraxis due to Driveline Torque?

Moment about Steeraxis due to Driveline Torque formula is defined as a measure of the turning force around the steer axis caused by the driveline torque, which affects the vehicle's steering and handling performance, and is an important parameter in the design and analysis of vehicle powertrains and is represented as M_sa = F_x*((d*cos(ν)*cos(λ_l))+(R_e*sin(λ_l+ζ))) or 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))). Tractive Force is the force that propels a vehicle forward, generated by the interaction between the wheels and the road surface, affecting steering system and axles, Distance between Steeraxis and Tire center is the length between the steering axis and the center of the tire, affecting the steering system's performance, 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, Lateral Inclination Angle is the angle between the vertical plane and the axis of the axle, affecting the stability and steering of a vehicle, 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 & Angle made by Front Axle with Horizontal is the inclination of the front axle relative to the horizontal plane of the vehicle's steering system.

How to calculate Moment about Steeraxis due to Driveline Torque?

Moment about Steeraxis due to Driveline Torque formula is defined as a measure of the turning force around the steer axis caused by the driveline torque, which affects the vehicle's steering and handling performance, and is an important parameter in the design and analysis of vehicle powertrains is calculated using 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))). To calculate Moment about Steeraxis due to Driveline Torque, you need Tractive Force (F_x), Distance between Steeraxis and Tire center (d), Caster Angle (ν), Lateral Inclination Angle (λ_l), Radius of Tire (R_e) & Angle made by Front Axle with Horizontal (ζ). With our tool, you need to enter the respective value for Tractive Force, Distance between Steeraxis and Tire center, Caster Angle, Lateral Inclination Angle, Radius of Tire & Angle made by Front Axle with Horizontal 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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