Hinge moment for given stick force Calculator

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Stick Forces and Hinge Moments

✖Stick Force is the force exerted on the control column by the pilot of an airplane in flight.ⓘ Stick Force [𝙁]			+10% -10%
✖Stick length is the length of the control stick (to move the control surface) of an aircraft.ⓘ Stick Length [𝒍_s]			+10% -10%
✖Stick deflection angle is the angle made by the control stick (used to move control surface) of an aircraft with the vertical.ⓘ Stick Deflection Angle [δ_s]			+10% -10%
✖The elevator deflection angle is the angle made by the elevator of an aircraft with the horizontal for an applied stick force.ⓘ Elevator Deflection Angle [δ_e]			+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 for given stick force [𝑯_𝒆]

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Formula

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Hinge moment for given stick force

Formula

`"𝑯"_{"𝒆"} = "𝙁"*"𝒍"_{"s"}*"δ"_{"s"}/"δ"_{"e"}`

Example

`"24.99375N*m"="23.25N"*"0.215m"*"0.5rad"/"0.1rad"`

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Hinge moment for given stick force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hinge Moment = Stick Force*Stick Length*Stick Deflection Angle/Elevator Deflection Angle
𝑯_𝒆 = 𝙁*𝒍_s*δ_s/δ_e
This formula uses 5 Variables

Variables Used

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.
Stick Force - (Measured in Newton) - Stick Force is the force exerted on the control column by the pilot of an airplane in flight.
Stick Length - (Measured in Meter) - Stick length is the length of the control stick (to move the control surface) of an aircraft.
Stick Deflection Angle - (Measured in Radian) - Stick deflection angle is the angle made by the control stick (used to move control surface) of an aircraft with the vertical.
Elevator Deflection Angle - (Measured in Radian) - The elevator deflection angle is the angle made by the elevator of an aircraft with the horizontal for an applied stick force.

STEP 1: Convert Input(s) to Base Unit

Stick Force: 23.25 Newton --> 23.25 Newton No Conversion Required
Stick Length: 0.215 Meter --> 0.215 Meter No Conversion Required
Stick Deflection Angle: 0.5 Radian --> 0.5 Radian No Conversion Required
Elevator Deflection Angle: 0.1 Radian --> 0.1 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝑯_𝒆 = 𝙁*𝒍_s*δ_s/δ_e --> 23.25*0.215*0.5/0.1

Evaluating ... ...

𝑯_𝒆 = 24.99375

STEP 3: Convert Result to Output's Unit

24.99375 Newton Meter --> No Conversion Required

FINAL ANSWER

24.99375 Newton Meter <-- Hinge Moment

(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 » Hinge moment for given stick force

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 Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has verified this Calculator and 300+ 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

Hinge moment for given stick force Formula

Hinge Moment = Stick Force*Stick Length*Stick Deflection Angle/Elevator Deflection Angle
𝑯_𝒆 = 𝙁*𝒍_s*δ_s/δ_e

What is aircraft stability?

Stability is an aircraft's ability to correct for conditions that act on it, like turbulence or flight control inputs.

How to Calculate Hinge moment for given stick force?

Hinge moment for given stick force calculator uses Hinge Moment = Stick Force*Stick Length*Stick Deflection Angle/Elevator Deflection Angle to calculate the Hinge Moment, The Hinge moment for given stick force depends on the stick length, stick force, stick deflection, and elevator deflection. Hinge Moment is denoted by 𝑯_𝒆 symbol.

How to calculate Hinge moment for given stick force using this online calculator? To use this online calculator for Hinge moment for given stick force, enter Stick Force (𝙁), Stick Length (𝒍_s), Stick Deflection Angle (δ_s) & Elevator Deflection Angle (δ_e) and hit the calculate button. Here is how the Hinge moment for given stick force calculation can be explained with given input values -> 24.725 = 23.25*0.215*0.5/0.1.

FAQ

What is Hinge moment for given stick force?

The Hinge moment for given stick force depends on the stick length, stick force, stick deflection, and elevator deflection and is represented as 𝑯_𝒆 = 𝙁*𝒍_s*δ_s/δ_e or Hinge Moment = Stick Force*Stick Length*Stick Deflection Angle/Elevator Deflection Angle. Stick Force is the force exerted on the control column by the pilot of an airplane in flight, Stick length is the length of the control stick (to move the control surface) of an aircraft, Stick deflection angle is the angle made by the control stick (used to move control surface) of an aircraft with the vertical & The elevator deflection angle is the angle made by the elevator of an aircraft with the horizontal for an applied stick force.

How to calculate Hinge moment for given stick force?

The Hinge moment for given stick force depends on the stick length, stick force, stick deflection, and elevator deflection is calculated using Hinge Moment = Stick Force*Stick Length*Stick Deflection Angle/Elevator Deflection Angle. To calculate Hinge moment for given stick force, you need Stick Force (𝙁), Stick Length (𝒍_s), Stick Deflection Angle (δ_s) & Elevator Deflection Angle (δ_e). With our tool, you need to enter the respective value for Stick Force, Stick Length, Stick Deflection Angle & Elevator Deflection Angle 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 Hinge Moment?

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

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

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