Stick Length for given Stick Force Calculator

✖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 [δ_e]			+10% -10%
✖Stick Force is the force exerted on the control column by the pilot of an airplane in flight.ⓘ Stick Force [𝙁]			+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 Length is the length of the control stick (to move the control surface) of an aircraft.ⓘ Stick Length for given Stick Force [𝒍_s]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Stick Forces and Hinge Moments Formulas PDF PDF Image

Stick Length for given Stick Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Stick Length - (Measured in Meter) - Stick Length is the length of the control stick (to move the control surface) of an aircraft.
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.
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 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

Hinge Moment: 25 Newton Meter --> 25 Newton Meter No Conversion Required
Elevator Deflection Angle: 0.1 Radian --> 0.1 Radian No Conversion Required
Stick Force: 23.25581 Newton --> 23.25581 Newton No Conversion Required
Stick Deflection Angle: 0.5 Radian --> 0.5 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝒍_s = 𝑯_𝒆*δ_e/(𝙁*δ_s) --> 25*0.1/(23.25581*0.5)

Evaluating ... ...

𝒍_s = 0.215000036550006

STEP 3: Convert Result to Output's Unit

0.215000036550006 Meter --> No Conversion Required

FINAL ANSWER

0.215000036550006 ≈ 0.215 Meter <-- Stick Length

(Calculation completed in 00.004 seconds)

You are here -

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

Stick Length for given Stick Force Formula

LaTeX Go

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

What is stick free stability analysis?

The analysis of stability when the stick is free or the elevator is free to move after the disturbance is called stick-free stability analysis.

How to Calculate Stick Length for given Stick Force?

Stick Length for given Stick Force calculator uses Stick Length = Hinge Moment*Elevator Deflection Angle/(Stick Force*Stick Deflection Angle) to calculate the Stick Length, Stick Length for given Stick Force is a measure that determines the length of a stick required to achieve a specific control response, taking into account the hinge moment, elevator deflection angle, and stick force, it is a critical calculation in aircraft design and control systems, ensuring the optimal stick length for efficient and safe operation. Stick Length is denoted by 𝒍_s symbol.

How to calculate Stick Length for given Stick Force using this online calculator? To use this online calculator for Stick Length for given Stick Force, enter Hinge Moment (𝑯_𝒆), Elevator Deflection Angle (δ_e), Stick Force (𝙁) & Stick Deflection Angle (δ_s) and hit the calculate button. Here is how the Stick Length for given Stick Force calculation can be explained with given input values -> 0.214961 = 25*0.1/(23.25581*0.5).

FAQ

What is Stick Length for given Stick Force?

Stick Length for given Stick Force is a measure that determines the length of a stick required to achieve a specific control response, taking into account the hinge moment, elevator deflection angle, and stick force, it is a critical calculation in aircraft design and control systems, ensuring the optimal stick length for efficient and safe operation and is represented as 𝒍_s = 𝑯_𝒆*δ_e/(𝙁*δ_s) or Stick Length = Hinge Moment*Elevator Deflection Angle/(Stick Force*Stick Deflection Angle). Hinge Moment is the moment acting on a control surface that the pilot must overcome by exerting a force on the control stick, The Elevator Deflection Angle is the angle made by the elevator of an aircraft with the horizontal for an applied stick force, Stick Force is the force exerted on the control column by the pilot of an airplane in flight & 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 Stick Length for given Stick Force?

Stick Length for given Stick Force is a measure that determines the length of a stick required to achieve a specific control response, taking into account the hinge moment, elevator deflection angle, and stick force, it is a critical calculation in aircraft design and control systems, ensuring the optimal stick length for efficient and safe operation is calculated using Stick Length = Hinge Moment*Elevator Deflection Angle/(Stick Force*Stick Deflection Angle). To calculate Stick Length for given Stick Force, you need Hinge Moment (𝑯_𝒆), Elevator Deflection Angle (δ_e), Stick Force (𝙁) & Stick Deflection Angle (δ_s). With our tool, you need to enter the respective value for Hinge Moment, Elevator Deflection Angle, Stick Force & 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 Length?

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

Stick Length = Elevator Deflection Angle/(Gearing Ratio*Stick Deflection Angle)

Home

FREE PDFs

🔍 Search