Elevator Chord Length 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%
✖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%
✖The Elevator Area is the area of the control surface responsible for providing pitching motion to an aircraft.ⓘ Elevator Area [S_e]			+10% -10%

✖Elevator Chord is the chord length of an elevator measured from its hinge line to trailing edge.ⓘ Elevator Chord Length given Stick Force [c_e]

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Formula

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Elevator Chord Length given Stick Force

Formula

c e = \frac{𝙁}{𝑮 \cdot Ch e \cdot 0.5 \cdot ρ \cdot V^{2} \cdot S e}

Example

0.599741 m = \frac{23.25581 N}{0.930233 m⁻¹ \cdot 0.770358 \cdot 0.5 \cdot 1.225 kg/m³ \cdot {60 m/s}^{2} \cdot 0.02454 m²}

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Elevator Chord Length given Stick Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Elevator Chord = Stick Force/(Gearing Ratio*Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area)
c_e = 𝙁/(𝑮*Ch_e*0.5*ρ*V^2*S_e)
This formula uses 7 Variables

Variables Used

Elevator Chord - (Measured in Meter) - Elevator Chord is the chord length of an elevator measured from its hinge line to trailing edge.
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 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

Stick Force: 23.25581 Newton --> 23.25581 Newton No Conversion Required
Gearing Ratio: 0.930233 1 per Meter --> 0.930233 1 per Meter No Conversion Required
Hinge Moment Coefficient: 0.770358 --> 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 Area: 0.02454 Square Meter --> 0.02454 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c_e = 𝙁/(𝑮*Ch_e*0.5*ρ*V^2*S_e) --> 23.25581/(0.930233*0.770358*0.5*1.225*60^2*0.02454)

Evaluating ... ...

c_e = 0.599741331316541

STEP 3: Convert Result to Output's Unit

0.599741331316541 Meter --> No Conversion Required

FINAL ANSWER

0.599741331316541 ≈ 0.599741 Meter <-- Elevator Chord

(Calculation completed in 00.020 seconds)

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

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has verified this Calculator and 200+ more calculators!

< Stick Forces and Hinge Moments Calculators

Flight Velocity given Elevator Hinge Moment Coefficient

Go Flight Velocity = sqrt(Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Elevator Area*Elevator Chord))

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

Elevator Chord Length given Stick Force Formula

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

Who is responsible for the proper loading of an aircraft prior to takeoff?

The pilot controls loading and fuel management (the two variable factors that can change both total weight and CG location) of a particular aircraft.

How to Calculate Elevator Chord Length given Stick Force?

Elevator Chord Length given Stick Force calculator uses Elevator Chord = Stick Force/(Gearing Ratio*Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area) to calculate the Elevator Chord, Elevator Chord Length given Stick Force is a measure of the length of an elevator chord in an aircraft, calculated by considering the stick force, gearing ratio, hinge moment coefficient, air density, velocity and elevator area, providing a critical parameter for aircraft design and stability analysis. Elevator Chord is denoted by c_e symbol.

How to calculate Elevator Chord Length given Stick Force using this online calculator? To use this online calculator for Elevator Chord Length given Stick Force, enter Stick Force (𝙁), Gearing Ratio (𝑮), Hinge Moment Coefficient (Ch_e), Density (ρ), Flight Velocity (V) & Elevator Area (S_e) and hit the calculate button. Here is how the Elevator Chord Length given Stick Force calculation can be explained with given input values -> 0.60002 = 23.25581/(0.930233*0.770358*0.5*1.225*60^2*0.02454).

FAQ

What is Elevator Chord Length given Stick Force?

Elevator Chord Length given Stick Force is a measure of the length of an elevator chord in an aircraft, calculated by considering the stick force, gearing ratio, hinge moment coefficient, air density, velocity and elevator area, providing a critical parameter for aircraft design and stability analysis and is represented as c_e = 𝙁/(𝑮*Ch_e*0.5*ρ*V^2*S_e) or Elevator Chord = Stick Force/(Gearing Ratio*Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area). Stick Force is the force exerted on the control column by the pilot of an airplane in flight, 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 & The Elevator Area is the area of the control surface responsible for providing pitching motion to an aircraft.

How to calculate Elevator Chord Length given Stick Force?

Elevator Chord Length given Stick Force is a measure of the length of an elevator chord in an aircraft, calculated by considering the stick force, gearing ratio, hinge moment coefficient, air density, velocity and elevator area, providing a critical parameter for aircraft design and stability analysis is calculated using Elevator Chord = Stick Force/(Gearing Ratio*Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area). To calculate Elevator Chord Length given Stick Force, you need Stick Force (𝙁), Gearing Ratio (𝑮), Hinge Moment Coefficient (Ch_e), Density (ρ), Flight Velocity (V) & Elevator Area (S_e). With our tool, you need to enter the respective value for Stick Force, Gearing Ratio, Hinge Moment Coefficient, Density, Flight Velocity & 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 Elevator Chord?

In this formula, Elevator Chord uses Stick Force, Gearing Ratio, Hinge Moment Coefficient, Density, Flight Velocity & Elevator Area. We can use 1 other way(s) to calculate the same, which is/are as follows -

Elevator Chord = Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area)

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