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Front Lateral Load Transfer Formula

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Front Lateral Load Transfer is the load transfer on to the front wheels due to lateral acceleration. Check FAQs
Wf=Ay[g]⋅mtF⋅H⋅KΦfKΦf+KΦr+xb⋅Zrf
Wf - Front Lateral Load Transfer?Ay - Lateral Acceleration?m - Mass of Vehicle?tF - Front Track Width?H - Centre of Gravity Distance to Roll Axis?KΦf - Front Roll Rate?KΦr - Rear Roll Rate?x - Horizontal Distance of C.G. from Rear Axle?b - Wheelbase of Vehicle?Zrf - Front Roll Centre Height?[g] - Gravitational acceleration on Earth?

Front Lateral Load Transfer Example

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

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

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

228.9019Edit=9.81Edit9.8066⋅155Edit1.5Edit⋅0.335Edit⋅94900Edit94900Edit+67800Edit+2.3Edit2.7Edit⋅245Edit
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HomeIcon Home » Category Physics » Category Mechanical » Category Automobile » fx Front Lateral Load Transfer

Front Lateral Load Transfer Solution

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

FIRST Step Consider the formula
Wf=Ay[g]⋅mtF⋅H⋅KΦfKΦf+KΦr+xb⋅Zrf
Next Step Substitute values of Variables
∴ Wf=9.81m/s²[g]⋅155kg1.5m⋅0.335m⋅94900Nm/rad94900Nm/rad+67800Nm/rad+2.3m2.7m⋅245m
Next Step Substitute values of Constants
∴ Wf=9.81m/s²9.8066m/s²⋅155kg1.5m⋅0.335m⋅94900Nm/rad94900Nm/rad+67800Nm/rad+2.3m2.7m⋅245m
Next Step Prepare to Evaluate
∴ Wf=9.819.8066⋅1551.5⋅0.335⋅9490094900+67800+2.32.7⋅245
Next Step Evaluate
∴Wf=228.901883669457kg
LAST Step Rounding Answer
∴Wf=228.9019kg

Front Lateral Load Transfer Formula Elements

Variables
Constants
Front Lateral Load Transfer
Front Lateral Load Transfer is the load transfer on to the front wheels due to lateral acceleration.
Symbol: Wf
Measurement: WeightUnit: kg
Note: Value can be positive or negative.
Formulas to find Front 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
Front Track Width
Front Track Width is the distance between the centers of front wheels.
Symbol: tF
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Front 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
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
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
Horizontal Distance of C.G. from Rear Axle
Horizontal Distance of C.G. from Rear Axle is the distance of vehicle's center of gravity(C.G.) from rear axle measured along wheelbase of vehicle.
Symbol: x
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Horizontal Distance of C.G. from Rear 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
Front Roll Centre Height
Front 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: Zrf
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Front 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 Front Lateral Load Transfer for Race Cars category

​Go Front Roll Centre Height given Front Lateral Load Transfer
Zrf=(Wf-Ay[g]⋅mtF⋅H⋅KΦfKΦf+KΦr)⋅bx
​Go COG Position Distance from Rear Wheels given Front Lateral Load Transfer
x=Wf-Ay[g]⋅mtF⋅H⋅KΦfKΦf+KΦrZrfb

How to Evaluate Front Lateral Load Transfer?

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

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

FAQs on Front Lateral Load Transfer

What is the formula to find Front Lateral Load Transfer?
The formula of Front Lateral Load Transfer is expressed as Front Lateral Load Transfer = Lateral Acceleration/[g]*Mass of Vehicle/Front Track Width*Centre of Gravity Distance to Roll Axis*Front Roll Rate/(Front Roll Rate+Rear Roll Rate)+Horizontal Distance of C.G. from Rear Axle/Wheelbase of Vehicle*Front Roll Centre Height. Here is an example- 228.9019 = 9.81/[g]*155/1.5*0.335*94900/(94900+67800)+2.3/2.7*245.
How to calculate Front Lateral Load Transfer?
With Lateral Acceleration (Ay), Mass of Vehicle (m), Front Track Width (tF), Centre of Gravity Distance to Roll Axis (H), Front Roll Rate (KΦf), Rear Roll Rate (KΦr), Horizontal Distance of C.G. from Rear Axle (x), Wheelbase of Vehicle (b) & Front Roll Centre Height (Zrf) we can find Front Lateral Load Transfer using the formula - Front Lateral Load Transfer = Lateral Acceleration/[g]*Mass of Vehicle/Front Track Width*Centre of Gravity Distance to Roll Axis*Front Roll Rate/(Front Roll Rate+Rear Roll Rate)+Horizontal Distance of C.G. from Rear Axle/Wheelbase of Vehicle*Front Roll Centre Height. This formula also uses Gravitational acceleration on Earth constant(s).
Can the Front Lateral Load Transfer be negative?
Yes, the Front Lateral Load Transfer, measured in Weight can be negative.
Which unit is used to measure Front Lateral Load Transfer?
Front 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 Front Lateral Load Transfer can be measured.
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