Canard Configuration and Sum of Moments

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SUMMARY

The discussion focuses on calculating the sum of moments about the center of gravity (Mcg) for a canard configuration in aerodynamics. The formula provided is Mcg = Mac - (lcg + lw)Lw + (lc - lcg)Lc, where various terms represent lift and moment arms. The user seeks assistance in deriving expressions for hn (distance to the neutral point) and Cmo (slope of the moment curve). Key variables include lift due to canard (Lc), lift due to wing (Lw), and the angle of attack (alpha).

PREREQUISITES
  • Understanding of aerodynamics principles, specifically canard configurations.
  • Familiarity with moment calculations in flight dynamics.
  • Knowledge of lift and moment equations, including terms like alpha, Lw, and Lc.
  • Ability to interpret and manipulate equations involving subscripts and variables.
NEXT STEPS
  • Research the derivation of expressions for neutral point (hn) in canard configurations.
  • Study the concept of moment curves and how to calculate Cmo in aerodynamics.
  • Explore the relationship between lift curve slope (aw) and angle of attack (alpha).
  • Investigate the role of volume ratio (VH) in stability and control of canard aircraft.
USEFUL FOR

Aerodynamics students, aerospace engineers, and anyone involved in the design and analysis of canard aircraft configurations will benefit from this discussion.

mpm
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I'm in an aerodynamics class, and I have this canard configuration I'm trying to figure out for a final exam.

I need to find the sum of the moment about the center of gravity.

I may cannot be helped without the drawing being posted.

So far this is what i have:

Mcg = Mac - (lcg + lw)Lw + (lc-lcg)Lc

CMcg=-aw*alpha(hn-hcg) + Cmo

Each letter after the first letter (ie Mcg) is a subscript. So cg would be the subscript. I just don't know how to do that on here.

Anyway, my remaining equations which I can't seem to figure out is to derive expressions for hn and Cmo

Can anyone possibly help me with this or is more info needed?
 
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use and [/ sub] for subscript, but remove space between / and sub.

I am guessing that M is moment, L is lift, and l is moment arm for the L components. And subsript 'c' refers to canard, and 'cg' center of gravity.

Please explain the other terms.

There should be N equations for N unknowns, which included equations for forces (e.g. lift and weight, drag and thrust) and moments.
 
LC is lift due to canard

LW is lift due to wing

Alpha is the angle of attack for the wing.

aw is lift curve slope of the wing

hn is the distance to the neutral point

hcg is the distance to center of gravity

I believe you are right on the moment arms being the l's.

CMcg is the slope of the moment curve I believe.

VH is the volume ratio

I think this is all that is needed. I may try and scan a picture of the diagram that I have if more is still needed.

Just let me know if more is needed.

Thanks in advance for all the help.
 

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