Elevator Area 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%
✖Elevator Chord is the chord length of an elevator measured from its hinge line to trailing edge.ⓘ Elevator Chord [c_e]			+10% -10%

✖The Elevator Area is the area of the control surface responsible for providing pitching motion to an aircraft.ⓘ Elevator Area given Stick Force [S_e]

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Elevator Area given Stick Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Elevator Area - (Measured in Square Meter) - The Elevator Area is the area of the control surface responsible for providing pitching motion to an aircraft.
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 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

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 Chord: 0.6 Meter --> 0.6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_e = 𝙁/(𝑮*Ch_e*0.5*ρ*V^2*c_e) --> 23.25581/(0.930233*0.770358*0.5*1.225*60^2*0.6)

Evaluating ... ...

S_e = 0.0245294204508465

STEP 3: Convert Result to Output's Unit

0.0245294204508465 Square Meter --> No Conversion Required

FINAL ANSWER

0.0245294204508465 ≈ 0.024529 Square Meter <-- Elevator Area

(Calculation completed in 00.007 seconds)

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Home » Physics » Aircraft Mechanics » Static Stability and Control » Longitudinal Control » Aerospace » Stick Forces and Hinge Moments » Elevator Area 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 Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has verified this Calculator and 300+ more calculators!

< Stick Forces and Hinge Moments Calculators

Flight Velocity given Elevator Hinge Moment Coefficient

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

Elevator Area given Hinge Moment Coefficient

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

Elevator Hinge moment coefficient

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

Elevator Hinge Moment given Hinge Moment Coefficient

LaTeX Go Hinge Moment = Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Area*Elevator Chord

Elevator Area given Stick Force Formula

LaTeX Go

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

What is NOTOC?

The NOtification TO Captain (NOTOC) is an essential document for the flight crew. It is the sole source of information to assess the severity of an inflight incident involving dangerous goods carried as cargo.

How to Calculate Elevator Area given Stick Force?

Elevator Area given Stick Force calculator uses Elevator Area = Stick Force/(Gearing Ratio*Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Chord) to calculate the Elevator Area, Elevator Area given Stick Force is a measure of the elevator's surface area required to produce a desired stick force, taking into account the gearing ratio, hinge moment, air density, velocity and elevator chord length, ensuring optimal aircraft control and stability. Elevator Area is denoted by S_e symbol.

How to calculate Elevator Area given Stick Force using this online calculator? To use this online calculator for Elevator Area given Stick Force, enter Stick Force (𝙁), Gearing Ratio (𝑮), Hinge Moment Coefficient (Ch_e), Density (ρ), Flight Velocity (V) & Elevator Chord (c_e) and hit the calculate button. Here is how the Elevator Area given Stick Force calculation can be explained with given input values -> 0.024541 = 23.25581/(0.930233*0.770358*0.5*1.225*60^2*0.6).

FAQ

What is Elevator Area given Stick Force?

Elevator Area given Stick Force is a measure of the elevator's surface area required to produce a desired stick force, taking into account the gearing ratio, hinge moment, air density, velocity and elevator chord length, ensuring optimal aircraft control and stability and is represented as S_e = 𝙁/(𝑮*Ch_e*0.5*ρ*V^2*c_e) or Elevator Area = Stick Force/(Gearing Ratio*Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Chord). 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 & Elevator Chord is the chord length of an elevator measured from its hinge line to trailing edge.

How to calculate Elevator Area given Stick Force?

Elevator Area given Stick Force is a measure of the elevator's surface area required to produce a desired stick force, taking into account the gearing ratio, hinge moment, air density, velocity and elevator chord length, ensuring optimal aircraft control and stability is calculated using Elevator Area = Stick Force/(Gearing Ratio*Hinge Moment Coefficient*0.5*Density*Flight Velocity^2*Elevator Chord). To calculate Elevator Area given Stick Force, you need Stick Force (𝙁), Gearing Ratio (𝑮), Hinge Moment Coefficient (Ch_e), Density (ρ), Flight Velocity (V) & Elevator Chord (c_e). With our tool, you need to enter the respective value for Stick Force, Gearing Ratio, Hinge Moment Coefficient, Density, Flight Velocity & 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 Elevator Area?

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

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

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