Elevator Deflection Angle 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%
✖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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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: 23.25581 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
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 --> 23.25581*0.215*0.5/25

Evaluating ... ...

δ_e = 0.099999983

STEP 3: Convert Result to Output's Unit

0.099999983 Radian --> No Conversion Required

FINAL ANSWER

0.099999983 ≈ 0.1 Radian <-- Elevator Deflection Angle

(Calculation completed in 00.008 seconds)

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Home » Physics » Aircraft Mechanics » Static Stability and Control » Longitudinal Control » Aerospace » Stick Forces and Hinge Moments » Elevator Deflection Angle for given Stick Force

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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

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< 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

Elevator Deflection Angle for given Stick Force Formula

LaTeX Go

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, Elevator Deflection Angle for given Stick Force is the measure of the angle of deflection of an elevator in response to a specific stick force, calculated by considering the stick force, stick length, stick deflection angle, and hinge moment, providing a crucial indicator of an aircraft's stability and control during flight. . 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 -> 0.100018 = 23.25581*0.215*0.5/25.

FAQ

What is Elevator Deflection Angle for given Stick Force?

Elevator Deflection Angle for given Stick Force is the measure of the angle of deflection of an elevator in response to a specific stick force, calculated by considering the stick force, stick length, stick deflection angle, and hinge moment, providing a crucial indicator of an aircraft's stability and control during flight. 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?

Elevator Deflection Angle for given Stick Force is the measure of the angle of deflection of an elevator in response to a specific stick force, calculated by considering the stick force, stick length, stick deflection angle, and hinge moment, providing a crucial indicator of an aircraft's stability and control during flight. 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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