The previous lesson taught the physics of balance — mass, arm, moment and the CG envelope. This one is the paperwork half the exam loves: the standard names for each mass, the unit conversions, and how to pull real numbers out of a weighing report and a POH to fill a load & trim sheet.
1 — The Standard Mass Terms
Every mass on a flight has a precise name, and the exam uses them exactly. They stack up from the empty aeroplane to the moment you take off, and back down to landing:
Each step has its own structural ceiling. A load can pass MTOM yet bust MZFM (too much in the cabin, too little in the tanks), so check every limit — not just take-off mass.
- Basic empty mass (BEM) — the aeroplane itself: airframe, unusable fuel, full operating fluids (oil, coolant) and fixed equipment. It does not include usable fuel, crew, passengers or baggage.
- Traffic load (or useful load) — what you add: crew, passengers, baggage.
- Zero-fuel mass (ZFM) — BEM + traffic load, i.e. everything except usable fuel.
- Ramp / taxi mass — ZFM + all usable fuel, at engine start.
- Take-off mass — ramp mass minus the fuel burned taxiing.
- Landing mass — take-off mass minus the trip fuel.
2 — The Maximum Masses
Each step in that ladder has its own structural ceiling, certified for the airframe and published in the POH:
- Maximum ramp mass — the most the aircraft may weigh at start-up (a hair above MTOM, to allow for taxi fuel).
- Maximum take-off mass (MTOM) — the most it may weigh as it leaves the ground.
- Maximum landing mass (MLM) — the most it may weigh at touchdown.
- Maximum zero-fuel mass (MZFM) — the most it may weigh with no usable fuel; it limits how much you may load into the cabin.
Two more limits you read off the POH rather than calculate:
- Performance-limited mass — on a short, hot, high or wet runway the performance charts may cap the mass below MTOM. You take the lower of the structural and performance limits.
- Baggage-compartment limit — both a total mass and a floor-loading placard (e.g. 75 kg·m⁻²). A dense, small item can bust the per-area limit while well under the total.
3 — Units & Conversions
POHs — especially American ones — mix litres, gallons, kilograms and pounds, and moments come in kg·m or lb·ft. Convert before you calculate. Try it:
AVGAS density ≈ 0.72 kg/L. 1 US gal = 3.785 L, 1 Imp gal = 4.546 L, 1 kg = 2.205 lb, 1 lb = 0.454 kg. The exam expects you to convert before you read a US-units POH.
4 — Reading the Weighing Report & POH
Your numbers come from two documents. The weighing report is produced when the aircraft is weighed — done periodically and after any major repair, modification or equipment change. It gives the current basic empty mass, its moment and the empty CG. The POH gives the datum, the arms for each station, and the CG limits:
The weighing report gives you the starting point (BEM + moment); the POH gives the arms and limits. Extract both before you touch the load sheet.
5 — The Load & Trim Sheet
Now put it together. A load sheet lists every mass against its arm, totals the mass and moment columns, and divides to get the CG — the same bookkeeping as Lesson 6, but on the operator’s form and checked against every limit:
| Item | Mass (kg) | Arm (m) | Moment (kg·m) |
|---|---|---|---|
| Basic empty mass | 770 | 0.90 | 693.0 |
| Front seats | 160 | 0.94 | 150.4 |
| Rear seats | 80 | 1.85 | 148.0 |
| Baggage | 20 | 2.40 | 48.0 |
| Zero-fuel mass | 1 030 | 1.009 | 1 039.4 |
| Usable fuel (100 L) | 72 | 1.20 | 86.4 |
| Take-off mass | 1 102 | 1.022 | 1 125.8 |
Add the mass and moment columns, divide the totals for the CG, then check it against every limit. A loading graph (or index method) does the same arithmetic graphically — you read each item’s moment off a line instead of multiplying. If the CG still falls outside the envelope, fixed trim ballast can move it back in.
6 — Practice: Fill the Sheet, Read the Verdict
Work this end to end. BEM 770 kg @ 0.90 m; pilot + front passenger 170 kg @ 0.94 m; one rear passenger 85 kg @ 1.85 m; baggage 15 kg @ 2.40 m; fuel 90 L @ 1.20 m. Limits: MTOM 1 150 kg, MZFM 1 080 kg, CG 0.89–1.20 m.
- Fuel mass: 90 L × 0.72 = 64.8 kg.
- Masses: 770 + 170 + 85 + 15 + 64.8 = 1 104.8 kg (≤ 1 150 ✓). ZFM = 1 040 kg (≤ 1 080 ✓).
- Moments: 693.0 + 159.8 + 157.25 + 36.0 + 77.76 = 1 123.8 kg·m.
- CG: 1 123.8 ÷ 1 104.8 = 1.017 m (inside 0.89–1.20 ✓).
- Verdict: every limit met — legal. Now re-check at zero fuel: 1 040 kg, moment 1 046.05 kg·m, CG 1.006 m — still inside.