How Do You Calculate the Area of an Airfoil Cross-Section?

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SUMMARY

This discussion focuses on calculating the area of an airfoil cross-section, specifically for a symmetric wing. The area can be determined using the integral ∫(f(x)-g(x)) dx from 0 to 1, where f(x) and g(x) represent the upper and lower boundaries of the airfoil shape. Additionally, the radius of gyration, section modulus, and Q values at the neutral axis are essential for further calculations. The mean aerodynamic chord (MAC) is recommended for future aerodynamic assessments.

PREREQUISITES
  • Understanding of integral calculus for area calculation
  • Familiarity with airfoil geometry and terminology
  • Knowledge of the concepts of radius of gyration and section modulus
  • Basic principles of aerodynamics and wing design
NEXT STEPS
  • Research how to derive f(x) and g(x) for specific airfoil shapes
  • Learn about calculating the radius of gyration for various cross-sections
  • Study the mean aerodynamic chord (MAC) and its significance in wing design
  • Explore the application of integral calculus in engineering mechanics
USEFUL FOR

Aerospace engineers, mechanical engineers, and students studying aerodynamics or structural analysis of wing designs will benefit from this discussion.

Alec Trujillo
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New poster has been reminded to post schoolwork in the Homework Help forums and use the Template
Not really sure if this thread belongs here but I am supposed to figure out the radius of gyration, section modulus, and Q values at the neutral axis for this symmetric wing cross section. The only problem is that I am not even really sure how to find the area of the cross section. i know that it'll be ∫(f(x)-g(x)) dx from 0-1 (pretty much the only hint that we are given is that the cross section can "fit perfectly in a 1in x 1in box) but how i even find f(x) and g(x) is beyond me.
 

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Poster has been reminded to watch for misplaced homework threads, and not to do the student's homework for them.
There is a high chance for my answer to be wrong.If its right, by solving the equatuon with the boundary condition will give you the curve(refer the image).
If X axis in the diagram is your neutral axis then it is better to find x as a function of y by using the same boundary condition.(To calculate 2nd moment of area about the x axis).
IMG_20180725_102204.jpg
 

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Alec, for future aerodynamic calculations consider determining the mean aerodynamic chord (MAC) of the wing section under study.
https://en.wikipedia.org/wiki/Chord_(aeronautics)

Before digital computers became common, aircraft engineers adopted many terms and techniques from boat building including chords.
Determining appropriate chords often simplifies moment calculations and may help your understanding of wing geometry.

--Norm
 

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