Elevator Chord Length given Hinge Moment Coefficient 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%
✖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 Hinge Moment Coefficient [c_e]

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Formula

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Elevator Chord Length given Hinge Moment Coefficient

Formula

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

Example

0.599742 m = \frac{25 N*m}{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 Hinge Moment Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Elevator Chord = Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area)
c_e = 𝑯_𝒆/(Ch_e*0.5*ρ*V^2*S_e)
This formula uses 6 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.
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.
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

Hinge Moment: 25 Newton Meter --> 25 Newton 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 = 𝑯_𝒆/(Ch_e*0.5*ρ*V^2*S_e) --> 25/(0.770358*0.5*1.225*60^2*0.02454)

Evaluating ... ...

c_e = 0.599741718149765

STEP 3: Convert Result to Output's Unit

0.599741718149765 Meter --> No Conversion Required

FINAL ANSWER

0.599741718149765 ≈ 0.599742 Meter <-- Elevator Chord

(Calculation completed in 00.004 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 Hinge Moment Coefficient

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Created by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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Verified by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

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< 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 Hinge Moment Coefficient Formula

Elevator Chord = Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area)
c_e = 𝑯_𝒆/(Ch_e*0.5*ρ*V^2*S_e)

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How to Calculate Elevator Chord Length given Hinge Moment Coefficient?

Elevator Chord Length given Hinge Moment Coefficient calculator uses Elevator Chord = Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area) to calculate the Elevator Chord, Elevator Chord Length given Hinge Moment Coefficient is a formula that calculates the length of an elevator chord, a critical component in aircraft design, based on the hinge moment coefficient, density, velocity and area of the elevator, providing a precise measurement essential for ensuring stability and control in aerial maneuvers. Elevator Chord is denoted by c_e symbol.

How to calculate Elevator Chord Length given Hinge Moment Coefficient using this online calculator? To use this online calculator for Elevator Chord Length given Hinge Moment Coefficient, enter Hinge Moment (𝑯_𝒆), 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 Hinge Moment Coefficient calculation can be explained with given input values -> 0.600021 = 25/(0.770358*0.5*1.225*60^2*0.02454).

FAQ

What is Elevator Chord Length given Hinge Moment Coefficient?

Elevator Chord Length given Hinge Moment Coefficient is a formula that calculates the length of an elevator chord, a critical component in aircraft design, based on the hinge moment coefficient, density, velocity and area of the elevator, providing a precise measurement essential for ensuring stability and control in aerial maneuvers and is represented as c_e = 𝑯_𝒆/(Ch_e*0.5*ρ*V^2*S_e) or Elevator Chord = Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area). 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 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 Hinge Moment Coefficient?

Elevator Chord Length given Hinge Moment Coefficient is a formula that calculates the length of an elevator chord, a critical component in aircraft design, based on the hinge moment coefficient, density, velocity and area of the elevator, providing a precise measurement essential for ensuring stability and control in aerial maneuvers is calculated using Elevator Chord = Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area). To calculate Elevator Chord Length given Hinge Moment Coefficient, you need Hinge Moment (𝑯_𝒆), 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 Hinge Moment, 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 Hinge Moment, 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 = Stick Force/(Gearing Ratio*Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area)

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