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Steering Ratio Formula

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Steering Ratio is the ratio of the angle turned by the steering wheel to the angle turned by the wheels of a vehicle. Check FAQs

S r = \frac{R sw}{R p}

S_r - Steering Ratio?R_sw - Steering Wheel Radius?R_p - Pinion Pitch Circle Radius?

Steering Ratio Example

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With units

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Here is how the Steering Ratio equation looks like with Values.

Here is how the Steering Ratio equation looks like with Units.

Here is how the Steering Ratio equation looks like.

64 = \frac{672}{10.5}

64 = \frac{672mm}{10.5mm}

64 = \frac{672}{10.5}

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Steering Ratio Solution

Follow our step by step solution on how to calculate Steering Ratio?

FIRST Step Consider the formula

S r = \frac{R sw}{R p}

Next Step Substitute values of Variables

∴

S r = \frac{672mm}{10.5mm}

Next Step Convert Units

∴

S r = \frac{0.672m}{0.0105m}

Next Step Prepare to Evaluate

∴

S r = \frac{0.672}{0.0105}

LAST Step Evaluate

∴

S r = 64

Steering Ratio Formula Elements

Variables

Steering Ratio

Steering Ratio is the ratio of the angle turned by the steering wheel to the angle turned by the wheels of a vehicle.

Symbol: S_r

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Steering Ratio

Steering Wheel Radius

Steering Wheel Radius is the distance from the center of the steering wheel to its outer edge, affecting the vehicle's handling and maneuverability.

Symbol: R_sw

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Steering Wheel Radius

Pinion Pitch Circle Radius

Pinion Pitch Circle Radius is the radius of the circle that passes through the pitch point of the pinion gear in a steering system.

Symbol: R_p

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Pinion Pitch Circle Radius

Other formulas in Steering Parameters category

Go Angle of Outside Wheel Lock Satisfying Correct Steering Condition

θ out = a \cot (\cot (θ in) + \frac{c}{L})

Go Angle of Inside Wheel Lock Satisfying Correct Steering Condition

θ in = a \cot (\cot (θ out) - \frac{c}{L})

Go Motion Ratio or Installation Ratio in Suspension

M.R. = \frac{ST}{WT}

Go Angle of Inside Lock given Turning Radius of Inner Front Wheel

θ in = a \sin (\frac{L}{R IF + \frac{a tw - c}{2}})

How to Evaluate Steering Ratio?

Steering Ratio evaluator uses Steering Ratio = Steering Wheel Radius/Pinion Pitch Circle Radius to evaluate the Steering Ratio, Steering Ratio formula is defined as a measure of the ratio of the angle turned by the steering wheel to the angle turned by the wheels of a vehicle, which affects the handling and responsiveness of the vehicle, and is an important consideration in the design and engineering of vehicles. Steering Ratio is denoted by S_r symbol.

How to evaluate Steering Ratio using this online evaluator? To use this online evaluator for Steering Ratio, enter Steering Wheel Radius (R_sw) & Pinion Pitch Circle Radius (R_p) and hit the calculate button.

FAQs on Steering Ratio

What is the formula to find Steering Ratio?

The formula of Steering Ratio is expressed as Steering Ratio = Steering Wheel Radius/Pinion Pitch Circle Radius. Here is an example- 64 = 0.672/0.0105.

How to calculate Steering Ratio?

With Steering Wheel Radius (R_sw) & Pinion Pitch Circle Radius (R_p) we can find Steering Ratio using the formula - Steering Ratio = Steering Wheel Radius/Pinion Pitch Circle Radius.

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