Stick Length For Given Stick Force Calculator

Formula Used:

\[ s = \frac{HM \times \delta_e}{F \times \delta_s} \]

Hinge Moment (HM):

N·m

Elevator Deflection Angle (δe):

rad

Stick Force (F):

Stick Deflection Angle (δs):

rad

Stick Length (s):

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1. What is the Stick Length Formula?

The Stick Length formula calculates the length of the control stick required to achieve a specific stick force for a given hinge moment and deflection angles. It's a fundamental relationship in aircraft control system design.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ s = \frac{HM \times \delta_e}{F \times \delta_s} \]

Where:

\( s \) — Stick Length (m)
\( HM \) — Hinge Moment (N·m)
\( \delta_e \) — Elevator Deflection Angle (rad)
\( F \) — Stick Force (N)
\( \delta_s \) — Stick Deflection Angle (rad)

Explanation: This formula establishes the relationship between the mechanical advantage of the control system and the forces required to move control surfaces.

3. Importance of Stick Length Calculation

Details: Proper stick length calculation is crucial for aircraft control system design, ensuring that pilots can exert appropriate forces to control the aircraft while maintaining adequate sensitivity and feedback.

4. Using the Calculator

Tips: Enter all values in appropriate units (N·m for hinge moment, N for stick force, radians for angles). All values must be positive and non-zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: Why is stick length important in aircraft design?
A: Stick length directly affects the mechanical advantage and force feedback that pilots experience, influencing aircraft controllability and pilot workload.

Q2: What are typical stick length values?
A: Stick length varies significantly between aircraft types, ranging from 0.2-0.5 meters for light aircraft to longer lengths for larger aircraft with different control configurations.

Q3: How does hinge moment affect stick force?
A: Higher hinge moments require either longer stick lengths or greater pilot force to achieve the same control surface deflection.

Q4: Are there limitations to this formula?
A: This formula provides a simplified linear relationship and may need adjustment for complex control systems with mechanical linkages, springs, or hydraulic assistance.

Q5: How is this used in actual aircraft design?
A: Aircraft designers use this relationship to optimize control system geometry, ensuring that control forces remain within acceptable limits throughout the flight envelope.