Elevator Stick Force Calculator

✖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 [𝑯_𝒆]			+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%

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

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Elevator Stick Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

Elevator Deflection Angle: 0.1 Radian --> 0.1 Radian No Conversion Required
Hinge Moment: 25 Newton Meter --> 25 Newton Meter 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝙁 = δ_e*𝑯_𝒆/(𝒍_s*δ_s) --> 0.1*25/(0.215*0.5)

Evaluating ... ...

𝙁 = 23.2558139534884

STEP 3: Convert Result to Output's Unit

23.2558139534884 Newton --> No Conversion Required

FINAL ANSWER

23.2558139534884 ≈ 23.25581 Newton <-- Stick Force

(Calculation completed in 00.015 seconds)

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Home » Physics » Aircraft Mechanics » Static Stability and Control » Longitudinal Control » Aerospace » Stick Forces and Hinge Moments » Elevator 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!

< 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 Stick Force Formula

LaTeX Go

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

What is stick force per g?

The stick force per g is defined as the steady change in stick force to produce a steady increment of g in the normal acceleration of the aircraft.

How to Calculate Elevator Stick Force?

Elevator Stick Force calculator uses Stick Force = Elevator Deflection Angle*Hinge Moment/(Stick Length*Stick Deflection Angle) to calculate the Stick Force, Elevator Stick Force is a measure of the longitudinal control force exerted on the stick by the pilot, calculated by considering the elevator deflection angle, hinge moment, stick length, and stick deflection angle, providing a crucial parameter for aircraft control and stability analysis. Stick Force is denoted by 𝙁 symbol.

How to calculate Elevator Stick Force using this online calculator? To use this online calculator for Elevator Stick Force, enter Elevator Deflection Angle (δ_e), Hinge Moment (𝑯_𝒆), Stick Length (𝒍_s) & Stick Deflection Angle (δ_s) and hit the calculate button. Here is how the Elevator Stick Force calculation can be explained with given input values -> 23.25581 = 0.1*25/(0.215*0.5).

FAQ

What is Elevator Stick Force?

Elevator Stick Force is a measure of the longitudinal control force exerted on the stick by the pilot, calculated by considering the elevator deflection angle, hinge moment, stick length, and stick deflection angle, providing a crucial parameter for aircraft control and stability analysis and is represented as 𝙁 = δ_e*𝑯_𝒆/(𝒍_s*δ_s) or Stick Force = Elevator Deflection Angle*Hinge Moment/(Stick Length*Stick Deflection Angle). The Elevator Deflection Angle is the angle made by the elevator of an aircraft with the horizontal for an applied stick force, Hinge Moment is the moment acting on a control surface that the pilot must overcome by exerting a force on the control stick, 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.

How to calculate Elevator Stick Force?

Elevator Stick Force is a measure of the longitudinal control force exerted on the stick by the pilot, calculated by considering the elevator deflection angle, hinge moment, stick length, and stick deflection angle, providing a crucial parameter for aircraft control and stability analysis is calculated using Stick Force = Elevator Deflection Angle*Hinge Moment/(Stick Length*Stick Deflection Angle). To calculate Elevator Stick Force, you need Elevator Deflection Angle (δ_e), Hinge Moment (𝑯_𝒆), Stick Length (𝒍_s) & Stick Deflection Angle (δ_s). With our tool, you need to enter the respective value for Elevator Deflection Angle, Hinge Moment, Stick Length & Stick 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 Stick Force?

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

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

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