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Moment about Steeraxis due to Driveline Torque Formula

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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. Check FAQs
Msa=Fx⋅((d⋅cos(ν)⋅cos(λl))+(Re⋅sin(λl+ζ)))
Msa - Moment about Steeraxis due to Driveline Torque?Fx - Tractive Force?d - Distance between Steeraxis and Tire center?ν - Caster Angle?λl - Lateral Inclination Angle?Re - Radius of Tire?ζ - Angle made by Front Axle with Horizontal?

Moment about Steeraxis due to Driveline Torque Example

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Here is how the Moment about Steeraxis due to Driveline Torque equation looks like with Values.

Here is how the Moment about Steeraxis due to Driveline Torque equation looks like with Units.

Here is how the Moment about Steeraxis due to Driveline Torque equation looks like.

170.3342Edit=450Edit⋅((0.21Edit⋅cos(4.5Edit)⋅cos(10Edit))+(0.35Edit⋅sin(10Edit+19.5Edit)))
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Moment about Steeraxis due to Driveline Torque Solution

Follow our step by step solution on how to calculate Moment about Steeraxis due to Driveline Torque?

FIRST Step Consider the formula
Msa=Fx⋅((d⋅cos(ν)⋅cos(λl))+(Re⋅sin(λl+ζ)))
Next Step Substitute values of Variables
∴ Msa=450N⋅((0.21m⋅cos(4.5°)⋅cos(10°))+(0.35m⋅sin(10°+19.5°)))
Next Step Convert Units
∴ Msa=450N⋅((0.21m⋅cos(0.0785rad)⋅cos(0.1745rad))+(0.35m⋅sin(0.1745rad+0.3403rad)))
Next Step Prepare to Evaluate
∴ Msa=450⋅((0.21⋅cos(0.0785)⋅cos(0.1745))+(0.35⋅sin(0.1745+0.3403)))
Next Step Evaluate
∴Msa=170.334157096998N*m
LAST Step Rounding Answer
∴Msa=170.3342N*m

Moment about Steeraxis due to Driveline Torque Formula Elements

Variables
Functions
Moment about Steeraxis due to Driveline Torque
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.
Symbol: Msa
Measurement: TorqueUnit: N*m
Note: Value can be positive or negative.
Formulas to find Moment about Steeraxis due to Driveline TorqueOpen Variable
Tractive Force
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.
Symbol: Fx
Measurement: ForceUnit: N
Note: Value can be positive or negative.
Formulas to find Tractive ForceOpen Variable
Distance between Steeraxis and Tire center
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.
Symbol: d
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Distance between Steeraxis and Tire centerOpen Variable
Caster Angle
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.
Symbol: ν
Measurement: AngleUnit: °
Note: Value should be greater than 0.
Formulas to find Caster AngleOpen Variable
Lateral Inclination Angle
Lateral Inclination Angle is the angle between the vertical plane and the axis of the axle, affecting the stability and steering of a vehicle.
Symbol: λl
Measurement: AngleUnit: °
Note: Value can be positive or negative.
Formulas to find Lateral Inclination AngleOpen Variable
Radius of Tire
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.
Symbol: Re
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Radius of TireOpen Variable
Angle made by Front Axle with Horizontal
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.
Symbol: ζ
Measurement: AngleUnit: °
Note: Value should be greater than 0.
Formulas to find Angle made by Front Axle with HorizontalOpen Variable
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.
Syntax: sin(Angle)
cos
Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.
Syntax: cos(Angle)

Other formulas in Forces on Steering System and Axles category

​Go Track Width of Vehicle using Ackermann Condition
atw=(cot(δo)-cot(δi))⋅L
​Go Self Aligning Moment or Torque on Wheels
Mat=(Mzl+Mzr)⋅cos(λl)⋅cos(ν)

How to Evaluate Moment about Steeraxis due to Driveline Torque?

Moment about Steeraxis due to Driveline Torque evaluator 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 evaluate 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 Msa symbol.

How to evaluate Moment about Steeraxis due to Driveline Torque using this online evaluator? To use this online evaluator for Moment about Steeraxis due to Driveline Torque, enter Tractive Force (Fx), Distance between Steeraxis and Tire center (d), Caster Angle (ν), Lateral Inclination Angle (λl), Radius of Tire (Re) & Angle made by Front Axle with Horizontal (ζ) and hit the calculate button.

FAQs on Moment about Steeraxis due to Driveline Torque

What is the formula to find Moment about Steeraxis due to Driveline Torque?
The formula of Moment about Steeraxis due to Driveline Torque is expressed as 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))). Here is an example- 170.3342 = 450*((0.21*cos(0.0785398163397301)*cos(0.1745329251994))+(0.35*sin(0.1745329251994+0.34033920413883))).
How to calculate Moment about Steeraxis due to Driveline Torque?
With Tractive Force (Fx), Distance between Steeraxis and Tire center (d), Caster Angle (ν), Lateral Inclination Angle (λl), Radius of Tire (Re) & Angle made by Front Axle with Horizontal (ζ) we can find Moment about Steeraxis due to Driveline Torque using the formula - 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))). This formula also uses Sine, Cosine function(s).
Can the Moment about Steeraxis due to Driveline Torque be negative?
Yes, the Moment about Steeraxis due to Driveline Torque, measured in Torque can be negative.
Which unit is used to measure Moment about Steeraxis due to Driveline Torque?
Moment about Steeraxis due to Driveline Torque is usually measured using the Newton Meter[N*m] for Torque. Newton Centimeter[N*m], Newton Millimeter[N*m], Kilonewton Meter[N*m] are the few other units in which Moment about Steeraxis due to Driveline Torque can be measured.
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