Elevator Hinge Moment given Hinge Moment Coefficient Solution

STEP 0: Pre-Calculation Summary
Formula Used
Hinge Moment = Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord
๐‘ฏ๐’† = Che*0.5*ฯ*V^2*Se*ce
This formula uses 6 Variables
Variables Used
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.
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 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
Elevator Chord: 0.6 Meter --> 0.6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
๐‘ฏ๐’† = Che*0.5*ฯ*V^2*Se*ce --> 0.77*0.5*1.225*60^2*0.02454*0.6
Evaluating ... ...
๐‘ฏ๐’† = 24.9991434
STEP 3: Convert Result to Output's Unit
24.9991434 Newton Meter --> No Conversion Required
FINAL ANSWER
24.9991434 โ‰ˆ 24.99914 Newton Meter <-- Hinge Moment
(Calculation completed in 00.004 seconds)

Credits

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Created by Vinay Mishra
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 Hinge Moment given Hinge Moment Coefficient Formula

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

What causes aileron flutter?

Imbalanced or loose (and, in extreme cases, structurally weak) control surfaces can cause flutter, a type of harmonic motion.

How to Calculate Elevator Hinge Moment given Hinge Moment Coefficient?

Elevator Hinge Moment given Hinge Moment Coefficient calculator uses Hinge Moment = Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord to calculate the Hinge Moment, The elevator hinge moment given hinge moment coefficient is a function of altitude and velocity of aircraft, elevator hinge moment coefficient, its area, and chord. Hinge Moment is denoted by ๐‘ฏ๐’† symbol.

How to calculate Elevator Hinge Moment given Hinge Moment Coefficient using this online calculator? To use this online calculator for Elevator Hinge Moment given Hinge Moment Coefficient, enter Hinge Moment Coefficient (Che), Density (ฯ), Flight Velocity (V), Elevator Area (Se) & Elevator Chord (ce) and hit the calculate button. Here is how the Elevator Hinge Moment given Hinge Moment Coefficient calculation can be explained with given input values -> 24.99914 = 0.77*0.5*1.225*60^2*0.02454*0.6.

FAQ

What is Elevator Hinge Moment given Hinge Moment Coefficient?
The elevator hinge moment given hinge moment coefficient is a function of altitude and velocity of aircraft, elevator hinge moment coefficient, its area, and chord and is represented as ๐‘ฏ๐’† = Che*0.5*ฯ*V^2*Se*ce or Hinge Moment = Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord. 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 & Elevator chord is the chord length of an elevator measured from its hinge line to trailing edge.
How to calculate Elevator Hinge Moment given Hinge Moment Coefficient?
The elevator hinge moment given hinge moment coefficient is a function of altitude and velocity of aircraft, elevator hinge moment coefficient, its area, and chord is calculated using Hinge Moment = Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord. To calculate Elevator Hinge Moment given Hinge Moment Coefficient, you need Hinge Moment Coefficient (Che), Density (ฯ), Flight Velocity (V), Elevator Area (Se) & Elevator Chord (ce). With our tool, you need to enter the respective value for Hinge Moment Coefficient, 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?
In this formula, Hinge Moment uses Hinge Moment Coefficient, Density, Flight Velocity, Elevator Area & Elevator Chord. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Hinge Moment = Stick Force*Stick Length*Stick Deflection Angle/Elevator Deflection Angle
  • Hinge Moment = Stick Force/Gearing Ratio
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