FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Required Anti-Roll Bar Rate Formula

Fx Copy

LaTeX Copy

Required Anti Roll Bar Rate is the required amount of spring rate of the roll bar for the system. Check FAQs

K a = K Φ \cdot \frac{K t \cdot \frac{a^{2}}{2}}{K t \cdot \frac{a^{2}}{2} - K Φ} - K w \cdot \frac{a^{2}}{2}

K_a - Required Anti Roll Bar Rate?K_Φ - Assumed Initial Roll Rate?K_t - Tyre Vertical Rate?a - Track Width of Vehicle?K_w - Wheel Centre Rate?

Required Anti-Roll Bar Rate Example

With values

With units

Only example

Here is how the Required Anti-Roll Bar Rate equation looks like with Values.

Here is how the Required Anti-Roll Bar Rate equation looks like with Units.

Here is how the Required Anti-Roll Bar Rate equation looks like.

89350.4125 = 76693 \cdot \frac{321330 \cdot \frac{{1.2}^{2}}{2}}{321330 \cdot \frac{{1.2}^{2}}{2} - 76693} - 35239 \cdot \frac{{1.2}^{2}}{2}

89350.4125Nm/rad = 76693Nm/rad \cdot \frac{321330N/m \cdot \frac{{1.2m}^{2}}{2}}{321330N/m \cdot \frac{{1.2m}^{2}}{2} - 76693Nm/rad} - 35239N/m \cdot \frac{{1.2m}^{2}}{2}

89350.4125 = 76693 \cdot \frac{321330 \cdot \frac{{1.2}^{2}}{2}}{321330 \cdot \frac{{1.2}^{2}}{2} - 76693} - 35239 \cdot \frac{{1.2}^{2}}{2}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Automobile » fx Required Anti-Roll Bar Rate

Required Anti-Roll Bar Rate Solution

Follow our step by step solution on how to calculate Required Anti-Roll Bar Rate?

FIRST Step Consider the formula

K a = K Φ \cdot \frac{K t \cdot \frac{a^{2}}{2}}{K t \cdot \frac{a^{2}}{2} - K Φ} - K w \cdot \frac{a^{2}}{2}

Next Step Substitute values of Variables

∴

K a = 76693Nm/rad \cdot \frac{321330N/m \cdot \frac{{1.2m}^{2}}{2}}{321330N/m \cdot \frac{{1.2m}^{2}}{2} - 76693Nm/rad} - 35239N/m \cdot \frac{{1.2m}^{2}}{2}

Next Step Prepare to Evaluate

∴

K a = 76693 \cdot \frac{321330 \cdot \frac{{1.2}^{2}}{2}}{321330 \cdot \frac{{1.2}^{2}}{2} - 76693} - 35239 \cdot \frac{{1.2}^{2}}{2}

Next Step Evaluate

∴

K a = 89350.4125212363Nm/rad

LAST Step Rounding Answer

∴

K a = 89350.4125Nm/rad

Required Anti-Roll Bar Rate Formula Elements

Variables

Required Anti Roll Bar Rate

Required Anti Roll Bar Rate is the required amount of spring rate of the roll bar for the system.

Symbol: K_a

Measurement: Torsion ConstantUnit: Nm/rad

Note: Value should be greater than 0.

Formulas to find Required Anti Roll Bar Rate

Assumed Initial Roll Rate

The Assumed Initial Roll Rate is the initial spring rate of the anti-roll bar assumed before calculating the required anti-roll bar rate.

Symbol: K_Φ

Measurement: Torsion ConstantUnit: Nm/rad

Note: Value should be greater than 0.

Formulas to find Assumed Initial Roll Rate

Tyre Vertical Rate

Tyre Vertical Rate is the spring rate controlled by the tyre compound, sidewall stiffness and operating pressure.

Symbol: K_t

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Tyre Vertical Rate

Track Width of Vehicle

Track Width of Vehicle is the distance between the center line of each of the two wheels on the same axle (front/rear axle).

Symbol: a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Track Width of Vehicle

Wheel Centre Rate

Wheel Centre Rate is the vertical force acting on the tire per unit vertical displacement at the location along the spindle corresponding to the wheel centerline, measured relative to the chassis.

Symbol: K_w

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Wheel Centre Rate

Other formulas in Wheel Centre Rates for Independent Suspension category

Go Wheel Centre Rate given Required Anti-Roll Bar Rate

K w = \frac{K Φ \cdot \frac{K t \cdot \frac{a^{2}}{2}}{K t \cdot \frac{a^{2}}{2} - K Φ} - K a}{\frac{a^{2}}{2}}

Go Assumed Initial Roll Rate given Required Anti-Roll Bar Rate

K Φ = (K a + K w \cdot \frac{a^{2}}{2}) \cdot \frac{K t \cdot \frac{a^{2}}{2}}{K t \cdot \frac{a^{2}}{2} + K a + K w \cdot \frac{a^{2}}{2}}

Go Tyre Rate given Required Anti-Roll Bar Rate

K t = (\frac{(K a + K w \cdot \frac{a^{2}}{2}) \cdot K Φ}{(K a + K w \cdot \frac{a^{2}}{2}) - K Φ}) \cdot \frac{2}{a^{2}}

Go Wheel Centre Rate

K w = \frac{K r \cdot K t}{K t - K r}

How to Evaluate Required Anti-Roll Bar Rate?

Required Anti-Roll Bar Rate evaluator uses Required Anti Roll Bar Rate = Assumed Initial Roll Rate*(Tyre Vertical Rate*(Track Width of Vehicle^2)/2)/(Tyre Vertical Rate*(Track Width of Vehicle^2)/2-Assumed Initial Roll Rate)-Wheel Centre Rate*(Track Width of Vehicle^2)/2 to evaluate the Required Anti Roll Bar Rate, The Required Anti-roll bar rate formula is used to find the spring stiffness of the anti-roll bar for the system considered. Required Anti Roll Bar Rate is denoted by K_a symbol.

How to evaluate Required Anti-Roll Bar Rate using this online evaluator? To use this online evaluator for Required Anti-Roll Bar Rate, enter Assumed Initial Roll Rate (K_Φ), Tyre Vertical Rate (K_t), Track Width of Vehicle (a) & Wheel Centre Rate (K_w) and hit the calculate button.

FAQs on Required Anti-Roll Bar Rate

What is the formula to find Required Anti-Roll Bar Rate?

The formula of Required Anti-Roll Bar Rate is expressed as Required Anti Roll Bar Rate = Assumed Initial Roll Rate*(Tyre Vertical Rate*(Track Width of Vehicle^2)/2)/(Tyre Vertical Rate*(Track Width of Vehicle^2)/2-Assumed Initial Roll Rate)-Wheel Centre Rate*(Track Width of Vehicle^2)/2. Here is an example- 89350.41 = 76693*(321330*(1.2^2)/2)/(321330*(1.2^2)/2-76693)-35239*(1.2^2)/2.

How to calculate Required Anti-Roll Bar Rate?

With Assumed Initial Roll Rate (K_Φ), Tyre Vertical Rate (K_t), Track Width of Vehicle (a) & Wheel Centre Rate (K_w) we can find Required Anti-Roll Bar Rate using the formula - Required Anti Roll Bar Rate = Assumed Initial Roll Rate*(Tyre Vertical Rate*(Track Width of Vehicle^2)/2)/(Tyre Vertical Rate*(Track Width of Vehicle^2)/2-Assumed Initial Roll Rate)-Wheel Centre Rate*(Track Width of Vehicle^2)/2.

Can the Required Anti-Roll Bar Rate be negative?

No, the Required Anti-Roll Bar Rate, measured in Torsion Constant cannot be negative.

Which unit is used to measure Required Anti-Roll Bar Rate?

Required Anti-Roll Bar Rate is usually measured using the Newton Meter per Radian[Nm/rad] for Torsion Constant. Newton Centimeter per Radian[Nm/rad] are the few other units in which Required Anti-Roll Bar Rate can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Required Anti-Roll Bar Rate Formula

Required Anti-Roll Bar Rate Example

Required Anti-Roll Bar Rate Solution

Required Anti-Roll Bar Rate Formula Elements

Other formulas in Wheel Centre Rates for Independent Suspension category

How to Evaluate Required Anti-Roll Bar Rate?

FAQs on Required Anti-Roll Bar Rate

Variable Name