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## Main Question or Discussion Point

*Any*(ideal) beam of length L, bent with a deflection of δ will have the same parabolic curve.

If that underlying assumption is wrong I am in trouble...

(Lots of views on the other thread, but no posts...so I'll try and boil it down to its essence)

Imagine:

Cantilever beam of length L with a concentrated load at the free end producing a curve. Draw a chord on the curve and you have an aerofoil with a width that varies along it's length - narrow at the ends and fatter near the middle. Lets call the widest point the maximum camber (Cmax).

I need to produce an excel spreadsheet where I can input a desired Cmax and a beam length L and output the required deflection of the beam, all in millimeters.

To help me get there I think I need equations for the following:

Q1. Calculate Cmax as a percentage of the chord length,

Q2. At what distance from the fixed end of the beam does the Cmax occur? If my first assumtion is correct - this should be a constant.

Q3. For a given Cmax and beam length L what is the deflection required.

I am not ignoring specific E (modulus of elasticity). The beam that is used will be made of all sorts of different materials, but if my assumption holds, then it is irrelevant.

A background of why I want to do this can be found on the:

Making an aerofoil with a cantilever thread.

Thanks in advance

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