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)
ce = ๐‘ฏ๐’†/(Che*0.5*ฯ*V^2*Se)
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: 0.77 --> 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 Area: 0.02454 Square Meter --> 0.02454 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ce = ๐‘ฏ๐’†/(Che*0.5*ฯ*V^2*Se) --> 25/(0.77*0.5*1.225*60^2*0.02454)
Evaluating ... ...
ce = 0.600020559104437
STEP 3: Convert Result to Output's Unit
0.600020559104437 Meter --> No Conversion Required
FINAL ANSWER
0.600020559104437 โ‰ˆ 0.600021 Meter <-- Elevator Chord
(Calculation completed in 00.004 seconds)

Credits

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Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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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 Chord Length given Hinge Moment Coefficient Formula

Elevator Chord = Hinge Moment/(Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area)
ce = ๐‘ฏ๐’†/(Che*0.5*ฯ*V^2*Se)

What is wing flutter?

The wing flutter is a dynamic instability of a flight vehicle associated with the interaction of aerodynamic, elastic, and inertial forces (aeroelastic phenomena).

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, The Elevator chord length given hinge moment coefficient depends on the elevator hinge moment, area, flight altitude, and velocity. Elevator Chord is denoted by ce 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 (๐‘ฏ๐’†), Hinge Moment Coefficient (Che), Density (ฯ), Flight Velocity (V) & Elevator Area (Se) 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/(0.77*0.5*1.225*60^2*0.02454).

FAQ

What is Elevator Chord Length given Hinge Moment Coefficient?
The Elevator chord length given hinge moment coefficient depends on the elevator hinge moment, area, flight altitude, and velocity and is represented as ce = ๐‘ฏ๐’†/(Che*0.5*ฯ*V^2*Se) 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?
The Elevator chord length given hinge moment coefficient depends on the elevator hinge moment, area, flight altitude, and velocity 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 (๐‘ฏ๐’†), Hinge Moment Coefficient (Che), Density (ฯ), Flight Velocity (V) & Elevator Area (Se). 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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