Elevator Stick Force given Gearing Ratio Calculator

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Stick Forces and Hinge Moments

✖Gearing ratio is a measure of the mechanical advantage provided by the control system of an aircraft.ⓘ Gearing Ratio [𝑮]			+10% -10%
✖Hinge moment is the moment acting on a control surface that the pilot must overcome by exerting a force on the control stick.ⓘ Hinge Moment [𝑯_𝒆]			+10% -10%

✖Stick Force is the force exerted on the control column by the pilot of an airplane in flight.ⓘ Elevator Stick Force given Gearing Ratio [𝙁]

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Formula

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Elevator Stick Force given Gearing Ratio

Formula

`"𝙁" = "𝑮"*"𝑯"_{"𝒆"}`

Example

`"23.25N"="0.93m⁻¹"*"25N*m"`

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Elevator Stick Force given Gearing Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stick Force = Gearing Ratio*Hinge Moment
𝙁 = 𝑮*𝑯_𝒆
This formula uses 3 Variables

Variables Used

Stick Force - (Measured in Newton) - Stick Force is the force exerted on the control column by the pilot of an airplane in flight.
Gearing Ratio - (Measured in 1 per Meter) - Gearing ratio is a measure of the mechanical advantage provided by the control system of an aircraft.
Hinge Moment - (Measured in Newton Meter) - Hinge moment is the moment acting on a control surface that the pilot must overcome by exerting a force on the control stick.

STEP 1: Convert Input(s) to Base Unit

Gearing Ratio: 0.93 1 per Meter --> 0.93 1 per Meter No Conversion Required
Hinge Moment: 25 Newton Meter --> 25 Newton Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝙁 = 𝑮*𝑯_𝒆 --> 0.93*25

Evaluating ... ...

𝙁 = 23.25

STEP 3: Convert Result to Output's Unit

23.25 Newton --> No Conversion Required

FINAL ANSWER

23.25 Newton <-- Stick Force

(Calculation completed in 00.004 seconds)

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Home » Physics » Aircraft Mechanics » Static Stability and Control » Longitudinal Control » Stick Forces and Hinge Moments » Elevator Stick Force given Gearing Ratio

Credits

Created by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

Vinay Mishra has created this Calculator and 300+ more calculators!

Verified by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has verified this Calculator and 200+ more calculators!

< 23 Stick Forces and Hinge Moments Calculators

Flight velocity for given stick force

Go Flight Velocity = sqrt(Stick Force/(Gearing Ratio*Hinge Moment Coefficient*0.5*Density*Elevator Area*Elevator Chord))

Gearing Ratio given Hinge Moment Coefficient

Go Gearing Ratio = Stick Force/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord)

Hinge Moment Coefficient given Stick Force

Go Hinge Moment Coefficient = Stick Force/(Gearing Ratio*0.5*Density*Flight Velocity^2*Elevator Chord*Elevator Area)

Elevator Chord Length given Stick Force

Go Elevator Chord = Stick Force/(Gearing Ratio*Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area)

Elevator Area given Stick Force

Go Elevator Area = Stick Force/(Gearing Ratio*Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Chord)

Elevator Stick Force Given Hinge Moment Coefficient

Go Stick Force = Gearing Ratio*Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Chord*Elevator Area

Flight Velocity given Elevator Hinge Moment Coefficient

Go Flight Velocity = sqrt(Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Elevator Area*Elevator Chord))

Elevator Chord Length given Hinge Moment Coefficient

Go Elevator Chord = Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area)

Elevator Area given Hinge Moment Coefficient

Go Elevator Area = Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Chord)

Elevator Hinge moment coefficient

Go Hinge Moment Coefficient = Hinge Moment/(0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord)

Elevator Hinge Moment given Hinge Moment Coefficient

Go Hinge Moment = Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord

Stick deflection angle for given stick force

Go Stick Deflection Angle = Hinge Moment*Elevator Deflection Angle/(Stick Force*Stick Length)

Stick length for given stick force

Go Stick Length = Hinge Moment*Elevator Deflection Angle/(Stick Force*Stick Deflection Angle)

Elevator Stick Force

Go Stick Force = Elevator Deflection Angle*Hinge Moment/(Stick Length*Stick Deflection Angle)

Elevator deflection angle for given stick force

Go Elevator Deflection Angle = Stick Force*Stick Length*Stick Deflection Angle/Hinge Moment

Hinge moment for given stick force

Go Hinge Moment = Stick Force*Stick Length*Stick Deflection Angle/Elevator Deflection Angle

Stick deflection angle for given gearing ratio

Go Stick Deflection Angle = Elevator Deflection Angle/(Stick Length*Gearing Ratio)

Control stick length for given gearing ratio

Go Stick Length = Elevator Deflection Angle/(Gearing Ratio*Stick Deflection Angle)

Gearing ratio

Go Gearing Ratio = Elevator Deflection Angle/(Stick Length*Stick Deflection Angle)

Elevator Deflection Angle given Gearing Ratio

Go Elevator Deflection Angle = Gearing Ratio*Stick Length*Stick Deflection Angle

Elevator Stick Force given Gearing Ratio

Go Stick Force = Gearing Ratio*Hinge Moment

Hinge moment for given gearing ratio

Go Hinge Moment = Stick Force/Gearing Ratio

Gearing ratio for given stick force

Go Gearing Ratio = Stick Force/Hinge Moment

Elevator Stick Force given Gearing Ratio Formula

Stick Force = Gearing Ratio*Hinge Moment
𝙁 = 𝑮*𝑯_𝒆

How can the hinge moment be calculated?

It is possible to calculate the moment acting along the elevator hinge through the pressure distribution.

How to Calculate Elevator Stick Force given Gearing Ratio?

Elevator Stick Force given Gearing Ratio calculator uses Stick Force = Gearing Ratio*Hinge Moment to calculate the Stick Force, The Elevator Stick force given gearing ratio of an aircraft is the product of hinge moment and gearing ratio. Stick Force is denoted by 𝙁 symbol.

How to calculate Elevator Stick Force given Gearing Ratio using this online calculator? To use this online calculator for Elevator Stick Force given Gearing Ratio, enter Gearing Ratio (𝑮) & Hinge Moment (𝑯_𝒆) and hit the calculate button. Here is how the Elevator Stick Force given Gearing Ratio calculation can be explained with given input values -> 23.25 = 0.93*25.

FAQ

What is Elevator Stick Force given Gearing Ratio?

The Elevator Stick force given gearing ratio of an aircraft is the product of hinge moment and gearing ratio and is represented as 𝙁 = 𝑮*𝑯_𝒆 or Stick Force = Gearing Ratio*Hinge Moment. Gearing ratio is a measure of the mechanical advantage provided by the control system of an aircraft & Hinge moment is the moment acting on a control surface that the pilot must overcome by exerting a force on the control stick.

How to calculate Elevator Stick Force given Gearing Ratio?

The Elevator Stick force given gearing ratio of an aircraft is the product of hinge moment and gearing ratio is calculated using Stick Force = Gearing Ratio*Hinge Moment. To calculate Elevator Stick Force given Gearing Ratio, you need Gearing Ratio (𝑮) & Hinge Moment (𝑯_𝒆). With our tool, you need to enter the respective value for Gearing Ratio & Hinge Moment and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Stick Force?

In this formula, Stick Force uses Gearing Ratio & Hinge Moment. We can use 2 other way(s) to calculate the same, which is/are as follows -

Stick Force = Elevator Deflection Angle*Hinge Moment/(Stick Length*Stick Deflection Angle)
Stick Force = Gearing Ratio*Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Chord*Elevator Area

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