Stick Deflection Angle 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 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 for given Stick Force [δ_s]

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Stick Deflection Angle for given Stick Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

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 Length: 0.215 Meter --> 0.215 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ_s = 𝑯_𝒆*δ_e/(𝙁*𝒍_s) --> 25*0.1/(23.25581*0.215)

Evaluating ... ...

δ_s = 0.500000085000014

STEP 3: Convert Result to Output's Unit

0.500000085000014 Radian --> No Conversion Required

FINAL ANSWER

0.500000085000014 ≈ 0.5 Radian <-- Stick Deflection Angle

(Calculation completed in 00.022 seconds)

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

LaTeX Go

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

What does hinge mean?

A hinge is a type of joint that attaches two things together while allowing for limited movement. A door hinge fastens the door to the wall and lets the door swing open.

How to Calculate Stick Deflection Angle for given Stick Force?

Stick Deflection Angle for given Stick Force calculator uses Stick Deflection Angle = Hinge Moment*Elevator Deflection Angle/(Stick Force*Stick Length) to calculate the Stick Deflection Angle, Stick Deflection Angle for given Stick Force is a measure of the angular displacement of an aircraft's stick in response to a given force, calculated by considering the hinge moment, elevator deflection angle, stick force, and stick length. Stick Deflection Angle is denoted by δ_s symbol.

How to calculate Stick Deflection Angle for given Stick Force using this online calculator? To use this online calculator for Stick Deflection Angle for given Stick Force, enter Hinge Moment (𝑯_𝒆), Elevator Deflection Angle (δ_e), Stick Force (𝙁) & Stick Length (𝒍_s) and hit the calculate button. Here is how the Stick Deflection Angle for given Stick Force calculation can be explained with given input values -> 0.49991 = 25*0.1/(23.25581*0.215).

FAQ

What is Stick Deflection Angle for given Stick Force?

Stick Deflection Angle for given Stick Force is a measure of the angular displacement of an aircraft's stick in response to a given force, calculated by considering the hinge moment, elevator deflection angle, stick force, and stick length and is represented as δ_s = 𝑯_𝒆*δ_e/(𝙁*𝒍_s) or Stick Deflection Angle = Hinge Moment*Elevator Deflection Angle/(Stick Force*Stick Length). 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 Length is the length of the control stick (to move the control surface) of an aircraft.

How to calculate Stick Deflection Angle for given Stick Force?

Stick Deflection Angle for given Stick Force is a measure of the angular displacement of an aircraft's stick in response to a given force, calculated by considering the hinge moment, elevator deflection angle, stick force, and stick length is calculated using Stick Deflection Angle = Hinge Moment*Elevator Deflection Angle/(Stick Force*Stick Length). To calculate Stick Deflection Angle for given Stick Force, you need Hinge Moment (𝑯_𝒆), Elevator Deflection Angle (δ_e), Stick Force (𝙁) & Stick Length (𝒍_s). With our tool, you need to enter the respective value for Hinge Moment, Elevator Deflection Angle, Stick Force & Stick Length 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 Deflection Angle?

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

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

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