Elevator Stick Force Given Hinge Moment Coefficient Calculator

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Static Stability and Control

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Stick Forces and Hinge Moments

✖Gearing ratio is a measure of the mechanical advantage provided by the control system of an aircraft.ⓘ Gearing Ratio [𝑮]			+10% -10%
✖Hinge moment coefficient is the coefficient associated with the hinge moment of the control surface of an aircraft.ⓘ Hinge Moment Coefficient [Ch_e]			+10% -10%
✖Density of Flow refers to the mass per unit volume of a fluid through which aircraft is moving.ⓘ Density [ρ]			+10% -10%
✖Flight Velocity refers to the speed at which an aircraft moves through the air.ⓘ Flight Velocity [V]			+10% -10%
✖Elevator chord is the chord length of an elevator measured from its hinge line to trailing edge.ⓘ Elevator Chord [c_e]			+10% -10%
✖The Elevator area is the area of the control surface responsible for providing pitching motion to an aircraft.ⓘ Elevator Area [S_e]			+10% -10%

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

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Formula

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Elevator Stick Force Given Hinge Moment Coefficient

Formula

`"𝙁" = "𝑮"*"Ch"_{"e"}*0.5*"ρ"*"V"^2*"c"_{"e"}*"S"_{"e"}`

Example

`"23.2492N"="0.93m⁻¹"*"0.77"*0.5*"1.225kg/m³"*("60m/s")^2*"0.6m"*"0.02454m²"`

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Elevator Stick Force Given Hinge Moment Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stick Force = Gearing Ratio*Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Chord*Elevator Area
𝙁 = 𝑮*Ch_e*0.5*ρ*V^2*c_e*S_e
This formula uses 7 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.
Gearing Ratio - (Measured in 1 per Meter) - Gearing ratio is a measure of the mechanical advantage provided by the control system of an aircraft.
Hinge Moment Coefficient - Hinge moment coefficient is the coefficient associated with the hinge moment of the control surface of an aircraft.
Density - (Measured in Kilogram per Cubic Meter) - Density of Flow refers to the mass per unit volume of a fluid through which aircraft is moving.
Flight Velocity - (Measured in Meter per Second) - Flight Velocity refers to the speed at which an aircraft moves through the air.
Elevator Chord - (Measured in Meter) - Elevator chord is the chord length of an elevator measured from its hinge line to trailing edge.
Elevator Area - (Measured in Square Meter) - The Elevator area is the area of the control surface responsible for providing pitching motion to an aircraft.

STEP 1: Convert Input(s) to Base Unit

Gearing Ratio: 0.93 1 per Meter --> 0.93 1 per Meter No Conversion Required
Hinge Moment Coefficient: 0.77 --> No Conversion Required
Density: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Flight Velocity: 60 Meter per Second --> 60 Meter per Second No Conversion Required
Elevator Chord: 0.6 Meter --> 0.6 Meter No Conversion Required
Elevator Area: 0.02454 Square Meter --> 0.02454 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝙁 = 𝑮*Ch_e*0.5*ρ*V^2*c_e*S_e --> 0.93*0.77*0.5*1.225*60^2*0.6*0.02454

Evaluating ... ...

𝙁 = 23.249203362

STEP 3: Convert Result to Output's Unit

23.249203362 Newton --> No Conversion Required

FINAL ANSWER

23.249203362 ≈ 23.2492 Newton <-- Stick Force

(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 Stick Force Given Hinge Moment Coefficient

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

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< 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 Stick Force Given Hinge Moment Coefficient Formula

Stick Force = Gearing Ratio*Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Chord*Elevator Area
𝙁 = 𝑮*Ch_e*0.5*ρ*V^2*c_e*S_e

What is static Aeroelasticity?

Static aeroelasticity is the study of the deflection of flexible aircraft structures under aerodynamic loads, where the forces and motions are considered independent of time.

How to Calculate Elevator Stick Force Given Hinge Moment Coefficient?

Elevator Stick Force Given Hinge Moment Coefficient calculator uses Stick Force = Gearing Ratio*Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Chord*Elevator Area to calculate the Stick Force, The Elevator stick force given hinge moment coefficient is a function of the elevator chord length, flight altitude, and velocity. Stick Force is denoted by 𝙁 symbol.

How to calculate Elevator Stick Force Given Hinge Moment Coefficient using this online calculator? To use this online calculator for Elevator Stick Force Given Hinge Moment Coefficient, enter Gearing Ratio (𝑮), Hinge Moment Coefficient (Ch_e), Density (ρ), Flight Velocity (V), Elevator Chord (c_e) & Elevator Area (S_e) and hit the calculate button. Here is how the Elevator Stick Force Given Hinge Moment Coefficient calculation can be explained with given input values -> 23.2492 = 0.93*0.77*0.5*1.225*60^2*0.6*0.02454.

FAQ

What is Elevator Stick Force Given Hinge Moment Coefficient?

The Elevator stick force given hinge moment coefficient is a function of the elevator chord length, flight altitude, and velocity and is represented as 𝙁 = 𝑮*Ch_e*0.5*ρ*V^2*c_e*S_e or Stick Force = Gearing Ratio*Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Chord*Elevator Area. Gearing ratio is a measure of the mechanical advantage provided by the control system of an aircraft, Hinge moment coefficient is the coefficient associated with the hinge moment of the control surface of an aircraft, Density of Flow refers to the mass per unit volume of a fluid through which aircraft is moving, Flight Velocity refers to the speed at which an aircraft moves through the air, Elevator chord is the chord length of an elevator measured from its hinge line to trailing edge & The Elevator area is the area of the control surface responsible for providing pitching motion to an aircraft.

How to calculate Elevator Stick Force Given Hinge Moment Coefficient?

The Elevator stick force given hinge moment coefficient is a function of the elevator chord length, flight altitude, and velocity is calculated using Stick Force = Gearing Ratio*Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Chord*Elevator Area. To calculate Elevator Stick Force Given Hinge Moment Coefficient, you need Gearing Ratio (𝑮), Hinge Moment Coefficient (Ch_e), Density (ρ), Flight Velocity (V), Elevator Chord (c_e) & Elevator Area (S_e). With our tool, you need to enter the respective value for Gearing Ratio, Hinge Moment Coefficient, Density, Flight Velocity, Elevator Chord & Elevator Area 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 Gearing Ratio, Hinge Moment Coefficient, Density, Flight Velocity, Elevator Chord & Elevator Area. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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