Elevator deflection angle for given gearing ratio Calculator

Category	Physics ↺
Physics	Flight Stability and Control ↺
Flight-Stability-And-Control	Static Stability and Control ↺
Static-Stability-And-Control	Stick Forces ↺
Stick-Forces	Relationship between Stick Force and Hinge Moment ↺

✖Gearing ratio is a measure of the mechanical advantage provided by the control system of an aircraftⓘ Gearing ratio [𝑮]			+10% -10%
✖Stick length is the length of the control stick (to move the control surface) of an aircraftⓘ Stick Length [𝒍_s]			+10% -10%
✖Stick deflection angle is the angle made by the control stick (used to move control surface) of an aircraft with the verticalⓘ Stick deflection angle [δ_s]			+10% -10%

✖The elevator deflection angle is the angle made by the elevator of an aircraft with the horizontal for an applied stick forceⓘ Elevator deflection angle for given gearing ratio [δ_e]

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Vinay Mishra

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

Vinay Mishra has created this Calculator and 200+ more calculators!

Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has verified this Calculator and 100+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Elevator stick force for given hinge moment coefficient

Stick Force=Gearing ratio*Hinge moment coefficient*0.5*Density*(Velocity^2)*Elevator chord*Elevator area GO

Stick deflection angle for given stick force

Stick deflection angle=Hinge moment*Elevator deflection angle/(Stick Force*Stick Length) GO

Stick length for given stick force

Stick Length=Hinge moment*Elevator deflection angle/(Stick Force*Stick deflection angle) GO

Elevator Stick Force

Stick Force=Elevator deflection angle*Hinge moment/(Stick Length*Stick deflection angle) GO

Elevator deflection angle for given stick force

Elevator deflection angle=Stick Force*Stick Length*Stick deflection angle/Hinge moment GO

Hinge moment for given stick force

Hinge moment=Stick Force*Stick Length*Stick deflection angle/Elevator deflection angle GO

Stick deflection angle for given gearing ratio

Stick deflection angle=Elevator deflection angle/(Stick Length*Gearing ratio) GO

Control stick length for given gearing ratio

Stick Length=Elevator deflection angle/(Gearing ratio*Stick deflection angle) GO

Gearing ratio

Gearing ratio=Elevator deflection angle/(Stick Length*Stick deflection angle) GO

Elevator Stick force for given gearing ratio

Stick Force=Gearing ratio*Hinge moment GO

Hinge moment for given gearing ratio

Hinge moment=Stick Force/Gearing ratio GO

< 1 Other formulas that calculate the same Output

Elevator deflection angle for given stick force

Elevator deflection angle=Stick Force*Stick Length*Stick deflection angle/Hinge moment GO

Elevator deflection angle for given gearing ratio Formula

Elevator deflection angle=Gearing ratio*Stick Length*Stick deflection angle
δe=𝑮*𝒍s*δs

More formulas

Elevator Stick Force GO

Stick length for given stick force GO

Stick deflection angle for given stick force GO

Hinge moment for given stick force GO

Elevator deflection angle for given stick force GO

Elevator Stick force for given gearing ratio GO

Gearing ratio for given stick force GO

Hinge moment for given gearing ratio GO

Gearing ratio GO

Control stick length for given gearing ratio GO

Stick deflection angle for given gearing ratio GO

Elevator stick force for given hinge moment coefficient GO

Gearing ratio for given hinge moment coefficient GO

Hinge moment coefficient for given stick force GO

Flight velocity for given stick force GO

Elevator area for given stick force GO

Elevator chord length for given stick force GO

What does hinge moment coefficient depend upon?

Hinge moment coefficient is a function of several factors such as tail angle of attack, tail setting angle, etc. Due to downwash, the angle of attack at the tail will be more.

How to Calculate Elevator deflection angle for given gearing ratio?

Elevator deflection angle for given gearing ratio calculator uses Elevator deflection angle=Gearing ratio*Stick Length*Stick deflection angle to calculate the Elevator deflection angle, The Elevator deflection angle for given gearing ratio is the product of control stick length, gearing ratio and control stick deflection. Elevator deflection angle and is denoted by δ_e symbol.

How to calculate Elevator deflection angle for given gearing ratio using this online calculator? To use this online calculator for Elevator deflection angle for given gearing ratio, enter Gearing ratio (𝑮), Stick Length (𝒍_s) and Stick deflection angle (δ_s) and hit the calculate button. Here is how the Elevator deflection angle for given gearing ratio calculation can be explained with given input values -> 0.2232 = 0.93*0.4*0.6.

FAQ

What is Elevator deflection angle for given gearing ratio?

The Elevator deflection angle for given gearing ratio is the product of control stick length, gearing ratio and control stick deflection and is represented as δ_e=𝑮*𝒍_s*δ_s or Elevator deflection angle=Gearing ratio*Stick Length*Stick deflection angle. Gearing ratio is a measure of the mechanical advantage provided by the control system of an aircraft, Stick length is the length of the control stick (to move the control surface) of an aircraft and Stick deflection angle is the angle made by the control stick (used to move control surface) of an aircraft with the vertical.

How to calculate Elevator deflection angle for given gearing ratio?

The Elevator deflection angle for given gearing ratio is the product of control stick length, gearing ratio and control stick deflection is calculated using Elevator deflection angle=Gearing ratio*Stick Length*Stick deflection angle. To calculate Elevator deflection angle for given gearing ratio, you need Gearing ratio (𝑮), Stick Length (𝒍_s) and Stick deflection angle (δ_s). With our tool, you need to enter the respective value for Gearing ratio, Stick Length and Stick deflection angle 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 deflection angle?

In this formula, Elevator deflection angle uses Gearing ratio, Stick Length and Stick deflection angle. We can use 1 other way(s) to calculate the same, which is/are as follows -

Elevator deflection angle=Stick Force*Stick Length*Stick deflection angle/Hinge moment

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