Hinge Moment for given Stick Force Calculator

✖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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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: 23.25581 Newton --> 23.25581 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 --> 23.25581*0.215*0.5/0.1

Evaluating ... ...

𝑯_𝒆 = 24.99999575

STEP 3: Convert Result to Output's Unit

24.99999575 Newton Meter --> No Conversion Required

FINAL ANSWER

24.99999575 ≈ 25 Newton Meter <-- Hinge Moment

(Calculation completed in 00.007 seconds)

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Home » Physics » Aircraft Mechanics » Static Stability and Control » Longitudinal Control » Aerospace » 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!

< Stick Forces and Hinge Moments Calculators

Flight Velocity given Elevator Hinge Moment Coefficient

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

Elevator Area given Hinge Moment Coefficient

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

Elevator Hinge moment coefficient

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

Elevator Hinge Moment given Hinge Moment Coefficient

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

Hinge Moment for given Stick Force Formula

LaTeX Go

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, Hinge Moment for given Stick Force is a measure of the rotational force that occurs when a stick force is applied to a control stick, influenced by the length of the stick, the deflection angle of the stick, and the elevator deflection angle, and is essential in understanding the dynamics of an aircraft's control systems. 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 -> 25.0045 = 23.25581*0.215*0.5/0.1.

FAQ

What is Hinge Moment for given Stick Force?

Hinge Moment for given Stick Force is a measure of the rotational force that occurs when a stick force is applied to a control stick, influenced by the length of the stick, the deflection angle of the stick, and the elevator deflection angle, and is essential in understanding the dynamics of an aircraft's control systems 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?

Hinge Moment for given Stick Force is a measure of the rotational force that occurs when a stick force is applied to a control stick, influenced by the length of the stick, the deflection angle of the stick, and the elevator deflection angle, and is essential in understanding the dynamics of an aircraft's control systems 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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