Elevator 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%
✖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 [c_e]			+10% -10%

✖Hinge Moment Coefficient is the coefficient associated with the hinge moment of the control surface of an aircraft.ⓘ Elevator Hinge moment coefficient [Ch_e]

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Formula

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Elevator Hinge moment coefficient

Formula

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

Example

0.770026 = \frac{25 N*m}{0.5 \cdot 1.225 kg/m³ \cdot {60 m/s}^{2} \cdot 0.02454 m² \cdot 0.6 m}

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Elevator Hinge moment coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Hinge Moment Coefficient - Hinge Moment Coefficient is the coefficient associated with the hinge moment of 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.
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.
Elevator Chord - (Measured in Meter) - Elevator Chord is the chord length of an elevator measured from its hinge line to trailing edge.

STEP 1: Convert Input(s) to Base Unit

Hinge Moment: 25 Newton Meter --> 25 Newton Meter 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
Elevator Chord: 0.6 Meter --> 0.6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Ch_e = 𝑯_𝒆/(0.5*ρ*V^2*S_e*c_e) --> 25/(0.5*1.225*60^2*0.02454*0.6)

Evaluating ... ...

Ch_e = 0.770026384184028

STEP 3: Convert Result to Output's Unit

0.770026384184028 --> No Conversion Required

FINAL ANSWER

0.770026384184028 ≈ 0.770026 <-- Hinge Moment Coefficient

(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 Hinge moment coefficient

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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

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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 Hinge moment coefficient Formula

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

What is a horn balance?

The horn balance is a section of the control surface at the tip that extends forward of the hinge line.

How to Calculate Elevator Hinge moment coefficient?

Elevator Hinge moment coefficient calculator uses Hinge Moment Coefficient = Hinge Moment/(0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord) to calculate the Hinge Moment Coefficient, Elevator Hinge Moment Coefficient is a dimensionless parameter that characterizes the rotational movement of an elevator about its hinge, determined by the hinge moment, air density, velocity, elevator area and chord length. Hinge Moment Coefficient is denoted by Ch_e symbol.

How to calculate Elevator Hinge moment coefficient using this online calculator? To use this online calculator for Elevator Hinge moment coefficient, enter Hinge Moment (𝑯_𝒆), Density (ρ), Flight Velocity (V), Elevator Area (S_e) & Elevator Chord (c_e) and hit the calculate button. Here is how the Elevator Hinge moment coefficient calculation can be explained with given input values -> 0.770026 = 25/(0.5*1.225*60^2*0.02454*0.6).

FAQ

What is Elevator Hinge moment coefficient?

Elevator Hinge Moment Coefficient is a dimensionless parameter that characterizes the rotational movement of an elevator about its hinge, determined by the hinge moment, air density, velocity, elevator area and chord length and is represented as Ch_e = 𝑯_𝒆/(0.5*ρ*V^2*S_e*c_e) or Hinge Moment Coefficient = Hinge Moment/(0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord). Hinge Moment is the moment acting on a control surface that the pilot must overcome by exerting a force on the control stick, 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 & Elevator Chord is the chord length of an elevator measured from its hinge line to trailing edge.

How to calculate Elevator Hinge moment coefficient?

Elevator Hinge Moment Coefficient is a dimensionless parameter that characterizes the rotational movement of an elevator about its hinge, determined by the hinge moment, air density, velocity, elevator area and chord length is calculated using Hinge Moment Coefficient = Hinge Moment/(0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord). To calculate Elevator Hinge moment coefficient, you need Hinge Moment (𝑯_𝒆), Density (ρ), Flight Velocity (V), Elevator Area (S_e) & Elevator Chord (c_e). With our tool, you need to enter the respective value for Hinge Moment, Density, Flight Velocity, Elevator Area & Elevator Chord 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 Hinge Moment Coefficient?

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

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

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