Mailing List lml@lancaironline.net Message #49911
From: Dennis Johnson <pinetownd@volcano.net>
Sender: <marv@lancaironline.net>
Subject: Legacy W&B
Date: Mon, 22 Dec 2008 11:30:53 -0500
To: <lml@lancaironline.net>
Hi Alan,
 
I made all my Legacy's CG calculations from the firewall joggle.  I wrote in my POH that the firewall joggle is assigned the arbitrary value of fuselage station (FS) 65.0, regardless of the actual distance from the propeller spinner.  I used 65.0" instead of the 64.625" number in the factory POH because since both the 65.0" and 64.625" are arbitrary numbers, I started with a round number.  (Besides, perhaps due to my finance background, I don't like to use numbers that imply more precision than is actually there.  (Sure, I know that 64.625" is the round number of 64-5/8", but who uses fractions to compute CG?))
 
I could have just as easily assigned the value of 0" to the firewall joggle, but then I would have to deal with negative numbers forward of the firewall joggle and positive numbers aft.  That would just make this more difficult than it needs to be. 
 
Once I defined the firewall joggle as FS 65.0, I measured the distance between the center of the nose wheel and FS 65.0 and the distance between the center of the main gear and FS 65.0.  I measured the distance between the leading edge of the wing at butt line (BL) 27 and FS 65.0".  From there, the rest is straight mathematics from the factory POH.
 
Using this method, I don't think it makes any difference where a builder sets the reference point.  So long as they use actual measurements of the distance between the reference point and the wheels and leading edge of the wing at BL 27, the mathematics will be identical.   
 
I backed into the CG of the baggage area by weighing the airplane with and without weight in the baggage area and then computing the actual CG.  In my case, the baggage CG is 144.5" (with a firewall reference point of 65.0").  That was with the weight loaded into the approximate center of the baggage area.
 
This part isn't related to your question, but so long as we're talking about CG, I compute my Legacy's CG with and without fuel.  My empty Legacy has a forward CG and burning fuel moves the CG forward.  I can theoretically take off with the CG within limits and then be too far forward on landing.  My zero fuel CG calculation checks to make sure I'll still be in limits on landing in the worst case situation that I land with empty tanks.
 
To eliminate the need to compute the baggage effect on CG for every flight, I made up the following table that shows the minimum and maximum allowable baggage weight for various combinations of pilot weights.  Note that this is based on forward CG considerations; many of these combinations would result in exceeding max gross weight of 2,400 pounds with full fuel.  However, if the amount of fuel is managed to stay within the max allowable gross weight, the following baggage weights are acceptable.  Here's the page from my POH:   
 
 

Acceptable Baggage Loading, in Pounds

Combined Wt of Pilots, Any Fuel

Baggage, with Oxygen Bottle

Baggage, without Oxygen Bottle

150

30-160

38-160

175

20-160

28-160

200

12-160

20-160

225

2-160

10-160

250

0-160

0-160

275

0-150

0-160

300

0-130

0-140

325

0-100

0-110

350

0-75

0-85

375

0-55

0-65

400

0-30

0-40

Note:  The baggage weights are the minimum and maximum weights for the combined weight of the pilot and copilot.  For example, a pilot weighing 175 pounds would have to carry at least 20 pounds of baggage in addition to the oxygen bottle, or 28 pounds if not carrying the oxygen bottle.  The weight of the baggage should be roughly centered (forward-aft) in the baggage area.  Moving the bags aft is better than moving them forward.  Although heavier baggage is acceptable, the maximum recommended is 100 pounds.   The weight of the pilots includes gear they carry and wear and center console glove box contents.  The maximum weight of instrument panel glove box contents is three pounds.

 

The key factor in this table is the forward CG upon landing, assuming the worst case situation of zero usable fuel.  If additional fuel is assured on landing, each gallon of fuel eliminates the need for 1.5 pounds of baggage.  For example, a 175 pound pilot would have no minimum baggage requirement if the usable fuel upon landing was assured to be at least 20 gallons.

 

*The empty weight of the airplane includes all avionics, radios, instruments, two gallons of unusable fuel in each wing, eight quarts of oil in the engine, a headset, and a two-pound toolkit behind the seat. 

 

Happy landings,
Dennis
Legacy, 220 hours
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