Elevator deflection angle 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%
✖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%

✖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 for given stick force [δ_e]

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Formula

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Elevator deflection angle for given stick force

Formula

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

Example

`"0.099975rad"="23.25N"*"0.215m"*"0.5rad"/"25N*m"`

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Elevator deflection angle for given stick force Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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

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
Hinge Moment: 25 Newton Meter --> 25 Newton Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ_e = 𝙁*𝒍_s*δ_s/𝑯_𝒆 --> 23.25*0.215*0.5/25

Evaluating ... ...

δ_e = 0.099975

STEP 3: Convert Result to Output's Unit

0.099975 Radian --> No Conversion Required

FINAL ANSWER

0.099975 Radian <-- Elevator Deflection Angle

(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 deflection angle 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 Shikha Maurya

Indian Institute of Technology (IIT), Bombay

Shikha Maurya 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 deflection angle for given stick force Formula

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

What is positive static stability?

Positive static stability is the initial tendency of a body to return to an undisturbed state after an external disturbance.

How to Calculate Elevator deflection angle for given stick force?

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

How to calculate Elevator deflection angle for given stick force using this online calculator? To use this online calculator for Elevator deflection angle for given stick force, enter Stick Force (𝙁), Stick Length (𝒍_s), Stick Deflection Angle (δ_s) & Hinge Moment (𝑯_𝒆) and hit the calculate button. Here is how the Elevator deflection angle for given stick force calculation can be explained with given input values -> 0.0989 = 23.25*0.215*0.5/25.

FAQ

What is Elevator deflection angle for given stick force?

The Elevator deflection angle for given stick force is given by the stick length, stick force, stick deflection and hinge moment and is represented as δ_e = 𝙁*𝒍_s*δ_s/𝑯_𝒆 or Elevator Deflection Angle = Stick Force*Stick Length*Stick Deflection Angle/Hinge Moment. 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 & 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 deflection angle for given stick force?

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

In this formula, Elevator Deflection Angle uses Stick Force, Stick Length, Stick Deflection Angle & Hinge Moment. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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