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Self Aligning Moment or Torque on Wheels Formula

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Self Aligning Moment is the torque that tries to align the wheels with the direction of travel, reducing the effort required to steer the vehicle. Check FAQs

M at = (M zl + M zr) \cdot \cos (λ l) \cdot \cos (ν)

M_at - Self Aligning Moment?M_zl - Aligning Moment Acting on Left Tires?M_zr - Aligning Moment on Right Tires?λ_l - Lateral Inclination Angle?ν - Caster Angle?

Self Aligning Moment or Torque on Wheels Example

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Here is how the Self Aligning Moment or Torque on Wheels equation looks like with Values.

Here is how the Self Aligning Moment or Torque on Wheels equation looks like with Units.

Here is how the Self Aligning Moment or Torque on Wheels equation looks like.

100.1407 = (27 + 75) \cdot \cos (10) \cdot \cos (4.5)

100.1407N*m = (27N*m + 75N*m) \cdot \cos (10°) \cdot \cos (4.5°)

100.1407 = (27 + 75) \cdot \cos (10) \cdot \cos (4.5)

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Self Aligning Moment or Torque on Wheels Solution

Follow our step by step solution on how to calculate Self Aligning Moment or Torque on Wheels?

FIRST Step Consider the formula

M at = (M zl + M zr) \cdot \cos (λ l) \cdot \cos (ν)

Next Step Substitute values of Variables

∴

M at = (27N*m + 75N*m) \cdot \cos (10°) \cdot \cos (4.5°)

Next Step Convert Units

∴

M at = (27N*m + 75N*m) \cdot \cos (0.1745rad) \cdot \cos (0.0785rad)

Next Step Prepare to Evaluate

∴

M at = (27 + 75) \cdot \cos (0.1745) \cdot \cos (0.0785)

Next Step Evaluate

∴

M at = 100.14073577601N*m

LAST Step Rounding Answer

∴

M at = 100.1407N*m

Self Aligning Moment or Torque on Wheels Formula Elements

Variables

Functions

Self Aligning Moment

Self Aligning Moment is the torque that tries to align the wheels with the direction of travel, reducing the effort required to steer the vehicle.

Symbol: M_at

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Self Aligning Moment

Aligning Moment Acting on Left Tires

Aligning Moment Acting on Left Tires is the force that tends to steer the left tires of a vehicle in a particular direction.

Symbol: M_zl

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Aligning Moment Acting on Left Tires

Aligning Moment on Right Tires

Aligning Moment on Right Tires is the force that tends to steer the right tires and axles in a specific direction, affecting the vehicle's stability and handling.

Symbol: M_zr

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Aligning Moment on Right Tires

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: λ_l

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Lateral Inclination Angle

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 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

a tw = (\cot (δ o) - \cot (δ i)) \cdot L

Go Rear Slip Angle due to High Speed Cornering

α r = β - (\frac{b \cdot r}{v t})

Go Front Slip Angle at High Cornering Speed

α f = β + ((\frac{a \cdot r}{v t}) - δ)

Go Load on Front Axle at High Speed Cornering

W fl = \frac{W \cdot b}{L}

How to Evaluate Self Aligning Moment or Torque on Wheels?

Self Aligning Moment or Torque on Wheels evaluator uses Self Aligning Moment = (Aligning Moment Acting on Left Tires+Aligning Moment on Right Tires)*cos(Lateral Inclination Angle)*cos(Caster Angle) to evaluate the Self Aligning Moment, Self Aligning Moment or Torque on Wheels formula is defined as a measure of the torque generated by the wheels of a vehicle, which affects the vehicle's directional stability and steering behavior, and is influenced by factors such as wheel alignment, load, and road conditions. Self Aligning Moment is denoted by M_at symbol.

How to evaluate Self Aligning Moment or Torque on Wheels using this online evaluator? To use this online evaluator for Self Aligning Moment or Torque on Wheels, enter Aligning Moment Acting on Left Tires (M_zl), Aligning Moment on Right Tires (M_zr), Lateral Inclination Angle (λ_l) & Caster Angle (ν) and hit the calculate button.

FAQs on Self Aligning Moment or Torque on Wheels

What is the formula to find Self Aligning Moment or Torque on Wheels?

The formula of Self Aligning Moment or Torque on Wheels is expressed as Self Aligning Moment = (Aligning Moment Acting on Left Tires+Aligning Moment on Right Tires)*cos(Lateral Inclination Angle)*cos(Caster Angle). Here is an example- 100.1407 = (27+75)*cos(0.1745329251994)*cos(0.0785398163397301).

How to calculate Self Aligning Moment or Torque on Wheels?

With Aligning Moment Acting on Left Tires (M_zl), Aligning Moment on Right Tires (M_zr), Lateral Inclination Angle (λ_l) & Caster Angle (ν) we can find Self Aligning Moment or Torque on Wheels using the formula - Self Aligning Moment = (Aligning Moment Acting on Left Tires+Aligning Moment on Right Tires)*cos(Lateral Inclination Angle)*cos(Caster Angle). This formula also uses Cosine (cos) function(s).

Can the Self Aligning Moment or Torque on Wheels be negative?

Yes, the Self Aligning Moment or Torque on Wheels, measured in Torque can be negative.

Which unit is used to measure Self Aligning Moment or Torque on Wheels?

Self Aligning Moment or Torque on Wheels 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 Self Aligning Moment or Torque on Wheels can be measured.

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Self Aligning Moment or Torque on Wheels Formula

Self Aligning Moment or Torque on Wheels Example

Self Aligning Moment or Torque on Wheels Solution

Self Aligning Moment or Torque on Wheels Formula Elements

Other formulas in Forces on Steering System and Axles category

How to Evaluate Self Aligning Moment or Torque on Wheels?

FAQs on Self Aligning Moment or Torque on Wheels

Variable Name