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Rear Lateral Load Transfer Formula

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Rear Lateral Load Transfer is the load transfer in the rear wheels due to lateral acceleration. Check FAQs
Wr=Ay[g]⋅mtr⋅H⋅KΦrKΦf+KΦr+ab⋅Zrr
Wr - Rear Lateral Load Transfer?Ay - Lateral Acceleration?m - Mass of Vehicle?tr - Rear Track Width?H - Centre of Gravity Distance to Roll Axis?KΦr - Rear Roll Rate?KΦf - Front Roll Rate?a - Horizontal Distance of C.G. from Front Axle?b - Wheelbase of Vehicle?Zrr - Rear Roll Centre Height?[g] - Gravitational acceleration on Earth?

Rear Lateral Load Transfer Example

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Here is how the Rear Lateral Load Transfer equation looks like with Values.

Here is how the Rear Lateral Load Transfer equation looks like with Units.

Here is how the Rear Lateral Load Transfer equation looks like.

161.8661Edit=9.81Edit9.8066⋅155Edit1.4Edit⋅3.4907Edit⋅67800Edit94900Edit+67800Edit+27Edit2.7Edit⋅0.0762Edit
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HomeIcon Home » Category Physics » Category Mechanical » Category Automobile » fx Rear Lateral Load Transfer

Rear Lateral Load Transfer Solution

Follow our step by step solution on how to calculate Rear Lateral Load Transfer?

FIRST Step Consider the formula
Wr=Ay[g]⋅mtr⋅H⋅KΦrKΦf+KΦr+ab⋅Zrr
Next Step Substitute values of Variables
∴ Wr=9.81m/s²[g]⋅155kg1.4m⋅3.4907m⋅67800Nm/rad94900Nm/rad+67800Nm/rad+27m2.7m⋅0.0762m
Next Step Substitute values of Constants
∴ Wr=9.81m/s²9.8066m/s²⋅155kg1.4m⋅3.4907m⋅67800Nm/rad94900Nm/rad+67800Nm/rad+27m2.7m⋅0.0762m
Next Step Prepare to Evaluate
∴ Wr=9.819.8066⋅1551.4⋅3.4907⋅6780094900+67800+272.7⋅0.0762
Next Step Evaluate
∴Wr=161.866125276444kg
LAST Step Rounding Answer
∴Wr=161.8661kg

Rear Lateral Load Transfer Formula Elements

Variables
Constants
Rear Lateral Load Transfer
Rear Lateral Load Transfer is the load transfer in the rear wheels due to lateral acceleration.
Symbol: Wr
Measurement: WeightUnit: kg
Note: Value can be positive or negative.
Formulas to find Rear Lateral Load TransferOpen Variable
Lateral Acceleration
Lateral Acceleration is the acceleration in the lateral direction when the vehicle is cornering.
Symbol: Ay
Measurement: AccelerationUnit: m/s²
Note: Value can be positive or negative.
Formulas to find Lateral AccelerationOpen Variable
Mass of Vehicle
Mass of Vehicle is the total mass of the vehicle.
Symbol: m
Measurement: WeightUnit: kg
Note: Value should be greater than 0.
Formulas to find Mass of VehicleOpen Variable
Rear Track Width
Rear Track Width is the distance between the centres of the rear wheels.
Symbol: tr
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Rear Track WidthOpen Variable
Centre of Gravity Distance to Roll Axis
Centre of Gravity Distance to Roll Axis is the distance between the centre of gravity and the roll axis.
Symbol: H
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Centre of Gravity Distance to Roll AxisOpen Variable
Rear Roll Rate
Rear Roll Rate is the stiffness of your car in the roll mode. Or one can say, it is the roll angle per unit lateral acceleration.
Symbol: KΦr
Measurement: Torsion ConstantUnit: Nm/rad
Note: Value should be greater than 0.
Formulas to find Rear Roll RateOpen Variable
Front Roll Rate
Front Roll Rate is the stiffness of your car in the roll mode. Or one can say, it is the roll angle per unit lateral acceleration.
Symbol: KΦf
Measurement: Torsion ConstantUnit: Nm/rad
Note: Value should be greater than 0.
Formulas to find Front Roll RateOpen Variable
Horizontal Distance of C.G. from Front Axle
Horizontal Distance of C.G. from Front Axle is the distance of vehicle's center of gravity(C.G.) form front axle measured along wheelbase of vehicle.
Symbol: a
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Horizontal Distance of C.G. from Front AxleOpen Variable
Wheelbase of Vehicle
Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle.
Symbol: b
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Wheelbase of VehicleOpen Variable
Rear Roll Centre Height
Rear Roll Centre Height is the height of the notional point at which the cornering forces in the suspension are reacted to the vehicle body.
Symbol: Zrr
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Rear Roll Centre HeightOpen Variable
Gravitational acceleration on Earth
Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.
Symbol: [g]
Value: 9.80665 m/s²

Other formulas in Rear Lateral Load Transfer category

​Go Lateral Acceleration given Rear Lateral Load Transfer
Ay=Wr-ab⋅Zrr1[g]⋅mtr⋅H⋅KΦrKΦf+KΦr
​Go Rear Track Width given Rear Lateral Load Transfer
tr=Ay[g]⋅m⋅H⋅KΦrKΦf+KΦrWr-ab⋅Zrr

How to Evaluate Rear Lateral Load Transfer?

Rear Lateral Load Transfer evaluator uses Rear Lateral Load Transfer = Lateral Acceleration/[g]*Mass of Vehicle/Rear Track Width*Centre of Gravity Distance to Roll Axis*Rear Roll Rate/(Front Roll Rate+Rear Roll Rate)+Horizontal Distance of C.G. from Front Axle/Wheelbase of Vehicle*Rear Roll Centre Height to evaluate the Rear Lateral Load Transfer, The Rear lateral load transfer formula is used to find the amount of lateral load transferred at the rear wheels. Rear Lateral Load Transfer is denoted by Wr symbol.

How to evaluate Rear Lateral Load Transfer using this online evaluator? To use this online evaluator for Rear Lateral Load Transfer, enter Lateral Acceleration (Ay), Mass of Vehicle (m), Rear Track Width (tr), Centre of Gravity Distance to Roll Axis (H), Rear Roll Rate (KΦr), Front Roll Rate (KΦf), Horizontal Distance of C.G. from Front Axle (a), Wheelbase of Vehicle (b) & Rear Roll Centre Height (Zrr) and hit the calculate button.

FAQs on Rear Lateral Load Transfer

What is the formula to find Rear Lateral Load Transfer?
The formula of Rear Lateral Load Transfer is expressed as Rear Lateral Load Transfer = Lateral Acceleration/[g]*Mass of Vehicle/Rear Track Width*Centre of Gravity Distance to Roll Axis*Rear Roll Rate/(Front Roll Rate+Rear Roll Rate)+Horizontal Distance of C.G. from Front Axle/Wheelbase of Vehicle*Rear Roll Centre Height. Here is an example- 162.2953 = 9.81/[g]*155/1.4*3.4907*67800/(94900+67800)+27/2.7*0.0762.
How to calculate Rear Lateral Load Transfer?
With Lateral Acceleration (Ay), Mass of Vehicle (m), Rear Track Width (tr), Centre of Gravity Distance to Roll Axis (H), Rear Roll Rate (KΦr), Front Roll Rate (KΦf), Horizontal Distance of C.G. from Front Axle (a), Wheelbase of Vehicle (b) & Rear Roll Centre Height (Zrr) we can find Rear Lateral Load Transfer using the formula - Rear Lateral Load Transfer = Lateral Acceleration/[g]*Mass of Vehicle/Rear Track Width*Centre of Gravity Distance to Roll Axis*Rear Roll Rate/(Front Roll Rate+Rear Roll Rate)+Horizontal Distance of C.G. from Front Axle/Wheelbase of Vehicle*Rear Roll Centre Height. This formula also uses Gravitational acceleration on Earth constant(s).
Can the Rear Lateral Load Transfer be negative?
Yes, the Rear Lateral Load Transfer, measured in Weight can be negative.
Which unit is used to measure Rear Lateral Load Transfer?
Rear Lateral Load Transfer is usually measured using the Kilogram[kg] for Weight. Gram[kg], Milligram[kg], Ton (Metric)[kg] are the few other units in which Rear Lateral Load Transfer can be measured.
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