PPRuNe Forums - View Single Post - Mathematically find forward CG limit on the sloping envelope?
Old 16th February 2005 | 20:40
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john_tullamarine
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From: various places .....
To tie my and Genghis' posts together on the m point, you'll note that the equations for m and b are the same form.

Re the original post, the steps to calculate b are

(i) do the calculate m thing

(ii) pick one of the points, plug in the calculated value for m and the answer is b

B is, indeed, the line's intercept with the vertical axis. In my earlier post, this is the y axis, in Genghis's post, the x axis, and in Tinny's end required equation, the CG axis .. ie the dependant variable axis.

More simply, if

y = m.x + b

put x = 0 and

y = m. 0 + b

ie y = b for x = 0

In the spreadsheet simple conditional tests for forward and aft limits are all that is needed. Be aware that quite a few aircraft have varying aft limits .. indeed some are not straight lines as well ... in which case you may need to run a regression to figure a polynomial for the spreadsheet design.

However, the spreadsheet exercise is no different to any other non-trivial sheet calculation .. plan the logic carefully but do a heap of error testing of the beta before showing it to the world.

Last edited by john_tullamarine; 16th February 2005 at 20:55.
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