Pietenpol-List: CG calculations
Posted: Fri Sep 27, 2002 11:21 pm
Original Posted By: "Jack Phillips"
Corky,I wish the wing were back a little but maybe we can do the old "bolt thelead to the motor mount like Frank Pavliga" trick. This would be to allowthe aircraft to "live" more toward the center of the expected allowable CGrange.I did a bunch of looking around trying to find a high wing monoplane with anundercambered airfoil where known CG limits were in place per the TypeCertificate Data Sheets. Unfortunately, any that I found were too old toeven have an allowable CG range posted on their TCDS. The best I could comeup with was the 10.6" to 22.7" allowable range on a J3C-65 Cub. Thattranslates to 16.8% to 36% of it's 63" chord allowable CG range with a rearseat solo near the aft limit. this is close to your situation although witha different airfoil and different tail surfaces.The Piet has a chord of 60". Your EW CG numbers look correct at 631 lbs and7170 in-lbs moment with a 11.36" EWCG or 18.93% of chord. Assuming theworst aft CG case with a 220 lb pilot and 220 lb passenger and empty of fuelwith 6 pounds of gloves in the glove box, we have 631 + 220 + 220 + 6 = 1077lbs. Moments are {7170 + (220)(21) + (220)(53) + (6)(66)}/1077 = 22.14" or22.14/60 = 36.90% of chord. A tad more aft than the Cub.We can back off the totally empty fuel and say there is 1 gallon of fuelunuseable. This would add a (6)(-6) = -36 moment to change the CG to23810/1083 = 21.98" or 36.64%. Still not enough. In addition, let us trythe old "bolt the lead to the motor mount like Frank Pavliga" trick. Add 10lbs to the motor mount support tube 6" aft of the oil sump (add atstation -18). (10)(-18) = -180 moment so the CG would change to(23810-180)/(1083+10)= 23630/1093 = 21.62" or 36.0%.Looks like we can show the fedman that it can be done.As the passenger actually sits behind the CG the worst forward CG case isfull fuel, 100 lb pilot, no passenger, and empty glove box. So: (7170 +(96)(-6) + (100)(53))/(631 + 96 + 100) = 14.38" or 24.O% of chord.You can see that the cub allows the front limit to be 16.8% of chord and wereally at the mid point of the range even with the worst case forwardloading. This is why a repostion of the wing would be better. To figure itout fairly closely, I would need to know the weight of the wing as it isright now with the cover and paint and a weight for the wing struts andseparate weights for the cabane struts would be helpful as well.Look at the bright side, if you hand prop the airplane and don't jump insidefast enough and the thing takes off without you with the 6 pounds of glovesin the glovebox, then you have: 631 + 96 + 6 = 733 lbs and moments of 7170+ (96)(-6) + (6)(66) = 6990 inch-lbs. 6990/733 = 9.5" or 15.9% of chord.Compare this to the Cub's 16.8%. Pretty close. Maybe a little nose heavybut it should fly by itself ok as long as it does a wheel landing!!chris________________________________________________________________________________
Corky,I wish the wing were back a little but maybe we can do the old "bolt thelead to the motor mount like Frank Pavliga" trick. This would be to allowthe aircraft to "live" more toward the center of the expected allowable CGrange.I did a bunch of looking around trying to find a high wing monoplane with anundercambered airfoil where known CG limits were in place per the TypeCertificate Data Sheets. Unfortunately, any that I found were too old toeven have an allowable CG range posted on their TCDS. The best I could comeup with was the 10.6" to 22.7" allowable range on a J3C-65 Cub. Thattranslates to 16.8% to 36% of it's 63" chord allowable CG range with a rearseat solo near the aft limit. this is close to your situation although witha different airfoil and different tail surfaces.The Piet has a chord of 60". Your EW CG numbers look correct at 631 lbs and7170 in-lbs moment with a 11.36" EWCG or 18.93% of chord. Assuming theworst aft CG case with a 220 lb pilot and 220 lb passenger and empty of fuelwith 6 pounds of gloves in the glove box, we have 631 + 220 + 220 + 6 = 1077lbs. Moments are {7170 + (220)(21) + (220)(53) + (6)(66)}/1077 = 22.14" or22.14/60 = 36.90% of chord. A tad more aft than the Cub.We can back off the totally empty fuel and say there is 1 gallon of fuelunuseable. This would add a (6)(-6) = -36 moment to change the CG to23810/1083 = 21.98" or 36.64%. Still not enough. In addition, let us trythe old "bolt the lead to the motor mount like Frank Pavliga" trick. Add 10lbs to the motor mount support tube 6" aft of the oil sump (add atstation -18). (10)(-18) = -180 moment so the CG would change to(23810-180)/(1083+10)= 23630/1093 = 21.62" or 36.0%.Looks like we can show the fedman that it can be done.As the passenger actually sits behind the CG the worst forward CG case isfull fuel, 100 lb pilot, no passenger, and empty glove box. So: (7170 +(96)(-6) + (100)(53))/(631 + 96 + 100) = 14.38" or 24.O% of chord.You can see that the cub allows the front limit to be 16.8% of chord and wereally at the mid point of the range even with the worst case forwardloading. This is why a repostion of the wing would be better. To figure itout fairly closely, I would need to know the weight of the wing as it isright now with the cover and paint and a weight for the wing struts andseparate weights for the cabane struts would be helpful as well.Look at the bright side, if you hand prop the airplane and don't jump insidefast enough and the thing takes off without you with the 6 pounds of glovesin the glovebox, then you have: 631 + 96 + 6 = 733 lbs and moments of 7170+ (96)(-6) + (6)(66) = 6990 inch-lbs. 6990/733 = 9.5" or 15.9% of chord.Compare this to the Cub's 16.8%. Pretty close. Maybe a little nose heavybut it should fly by itself ok as long as it does a wheel landing!!chris________________________________________________________________________________