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 10 How to calculate "CG%" (Read 33138 times)
Blover
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Re: How to calculate "CG%"
Reply #15 - Nov 1st, 2013 at 1:17pm
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To close the subject, let me add a comment.

The first section of every flight plan is called   TPS
Takeoff Performance System.

1. Header is time and date of flight, type of aircraft, assumed weather at time of TO, weight at the gate, TO and fuel on board.

2. Thrust and Vspeed for each rw - up to 5.
this section includes the flap setting, the stab setting, N1, AC on , and maxTO for setting. Also gives the TO CG.- shift back with the pitch. Slat and flap retract speed and min speed maneuverring

3. Then there is an airport analysis, RW lenght, slope, obtructions, considerations for NI setting and flap for each runway.

4. Last there is a summary of the weight and balance - which is supported by the actual load closeout.
Last minute changes, added cargo + or - pax, is given to the crew and the impact on the flight.

Ballast fuel - if present, is part of the payload and cannot be used
The crew must placard the fuel pump for that tank.

Flying these planes is a serious business !! Smiley

Happy Flying !

Raymond   Boeing or nothing
KFLL   South florida


  
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SEAN ZARELLA
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Re: How to calculate "CG%"
Reply #16 - Jun 16th, 2014 at 2:11pm
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Good morning pilots, I have been flying the cs757 for about 3 years now, i have my own Simpit i created.


I have taught myself CG load and balance, and have edited the CS757 aircraft.cfg to reflect the load station data of the real 757-200.

Know that the empty cg of a 757-200 is 23%

I will start with the basics on the fundamentals before i go into the actual math involved in determining your planes CG% or %mach can also be called.

All Center of gravity is based upon the starting point which we call DATUM.


DATUM is refered as the starting point of the line which the manufacturer determined for each plane they make, and for the B752 that line starts 159 inches infront of the nose.

You draw that line linear from that point to the start of a small window of balance which we call MAC. which is mostly located at the wings ( center Of plane)


So you start with your Datum and a line is drawn from there to the start of the MAC and measure that distance in inches. , the start of the MAC line we call LEMAC or leading edge MAC. and for the

B752 LEMAC is @ 991.9 inches from the datum. The mac line starts from there and is 199.7 inches long,. we refer MAC as 199.7 inches.

So drawing that line from Datum to the LEMAC point and if you add up the point of LEMAC 991.9 + your mac 199.7 = 1191.6

0% mac is 991.9 inches. where it starts, 100% mac is 1191.6 inches.

Here is a image of what we are talking about, I illustrated where the datum line starts and where lemac is and 0 - 100 % MAC.





Between 0%MAC and 100% MAC is the window of CG we need the plane to be balanced. But that isnt the balance point. Per aircraft each is different based on Weight and

placement of Objects forward and aft of the LEMAC line. For instance, For the B752 The CG window envelope is 7% - 39% CG and that depends on your Gross Weight.

This can be found in the 757 - 200 weight and balance handbook.

Finaly, where the Cg is located within that window is called BALANCE ARM or the distance from CG% to datum. measured in inches.

ARM is measured by balance point when the airplane is at DRY OPERATIING WEIGHT or EMPTY WEIGHT, and changes from aircraft to aircraft because of seating configurations

forward and Aft Lemac. I found out that per the 757-200 my Virtual Airlines Flies is called.  75X PER seating specification that can hold 184 PAX.

The Balance Arm or distance from datum to the EMPTY WEIGHT CG is 1037.8 inches. This is How you determine your planes EMPTY CG%

````````````distance aft of LEMAC
`` cg%mac = ___________________
```````````````````` MAC


Distance aft OF LEMAC is easy to figure out now, if our LEMAC is 991.9 inches and the balance arm is 1038.7 inches. we take 1038.7 -991.9 = 46.8 inches.

````````46.8
CG%=____________ = 23.43%
```````1.997

if you just had your CG% and needed your ARM ( to compute DOI )

~~~~~~~~~~~~~~~~~~%MAC
Balance Arm = LEMAC + ( ----------------× MAC )
~~~~~~~~~~~~~~~~~~ 100

SO

``````````````` 23.43%
ARM = 991.7 + ( ----------------- x MAC ) = 1038.68971 or 1038.7
`````````````````100

Next is Computing the planes Dry Operating Index empty weight.

Formula for this is for the B752

DOI = Weight x (Arm - 1037.8) + 50
````````````````75000

Since balance arm is 1037.8 that zeros out the equation and you add 50. so our DOI is 50.

refer to the actual LOAD SHEET





and finally go to your aircraft.cfg and go to the following section, copy and paste the new data.
This will give you a fully loaded 184 pax 757 with 9200 cargo . As well as an Empty CG of 23%  to match the 757x

[WEIGHT_AND_BALANCE]
max_gross_weight = 256000 // (pounds)
empty_weight = 127520 // (pounds)
reference_datum_position = 2.3, 0, 0 // (feet) distance from FlightSim Reference position: (1/4 chord, centerline, waterline)
empty_weight_CG_position = 2.5, 0, 0 // (feet) longitudinal, lateral, vertical distance from specified datum

max_number_of_stations =12

station_load.0 ="460, 70, 0, 0, Flight Crew"
station_load.1 ="920, 0, 0, 0, Cabin Crew"
;Moments of Inertia
empty_weight_pitch_MOI = 7040000
empty_weight_roll_MOI = 1960000
empty_weight_yaw_MOI = 7500000
empty_weight_coupled_MOI = 1000
station_load.2=4550, 25, 1, 0, F/C Row 1-7
station_load.3=11900, 14, 1, 0, E/C ECON Row 20-30
station_load.4=9450, -13, 0, 0, ECON Row 31-39
station_load.5=6300, -33, 0, 0, ECON Row 40-45
station_load.6=888, 25, -1, -2, FWD Cargo Bay 1
station_load.7=0, 12, -1, -2, FWD Cargo Bay 2
station_load.8=8318, -12, -1, -2, AFT Cargo Bay 3
station_load.9=0, -25, -1, -2, AFT Cargo Bay 4
station_load.10=1975, 0, 0, 0, OPERATIONAL ITEMS
station_load.11=0, 0, 0, 0, ADDITIONAL WEIGHT

Ok so testing this Mod,
Your ZFW CG % will be 30%
Your TOW CG % is now 29% and using the fmc will give trim value around 5.0 up.

Thank you all for watching any questions please dont hesitate to ask.
  
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fsxpaul
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Re: How to calculate "CG%"
Reply #17 - Jul 18th, 2014 at 1:53am
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DAL191 wrote on Oct 24th, 2013 at 1:04pm:
Forget all the calculations concerning center of gravity because the CS752 is not sophisticated enough to recognize any changes. Just use 30 all the time and you will be alright.

Michael Cubine

The CS-B752 follows the rules that FSX has defined. If you never change your passenger count, cargo weight or destination, you always end up with the same CG, thus the same everything always.

As a test, change your cargo to the front cargo bays only. Input '30' in the FMS for your CG, set your trim units as suggested. When you rotate, the aircraft will require more stick back and feel sluggish and less responsive.
Setting '30' as Micahael has suggested, will not always work.

I have investigated the CG and weights for 2 months now. I understand more now than I ever though I would.

I have created an Excel spreadsheet that will show CG as well as fuel requirements for the B752.

Don't under estimate this aircraft! It is actually works as it should!
  
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Ahmad
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Re: How to calculate "CG%"
Reply #18 - Jul 21st, 2014 at 8:38am
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SEAN ZARELLA wrote on Oct 1st, 2013 at 9:23pm:
this is the actual 757-200 load sheet in real life, and math is heavily used

you need to know the balance ARM  figures.


thanks man helped me a lot.
  

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