Mass Limit Calculations: MTOM, MLM, MZFM, and Regulated Traffic Load
Determining Maximum Traffic Load
To find the maximum traffic load allowed for a flight, we must calculate the load permitted by each of the three main limits:
- Maximum Take-Off Mass (MTOM) Limit.
- Maximum Landing Mass (MLM) Limit.
- Maximum Zero Fuel Mass (MZFM) Limit.
The lowest of the three resulting traffic loads is the limiting factor.
1. MTOM Limit
$ \text{Max Traffic Load (MTOM)} = \text{MTOM} - \text{DOM} - \text{Take-off Fuel} $
2. MLM Limit
Since the aircraft burns trip fuel, it can take off heavier than the landing limit. $ \text{Max Take-off Mass allowed by MLM} = \text{MLM} + \text{Trip Fuel} $ $ \text{Max Traffic Load (MLM)} = (\text{MLM} + \text{Trip Fuel}) - \text{DOM} - \text{Take-off Fuel} $ Alternatively: Max Traffic Load = MLM - DOM - Reserve Fuel (Landing Fuel).
3. MZFM Limit
$ \text{Max Traffic Load (MZFM)} = \text{MZFM} - \text{DOM} $ Note: Fuel is not part of ZFM.
Example Calculation
Given:
- DOM: 35,000 kg
- MTOM: 65,000 kg
- MLM: 55,000 kg
- MZFM: 52,000 kg
- Trip Fuel: 8,000 kg
- Take-off Fuel: 15,000 kg
Calculate Max Traffic Load:
- Based on MTOM: $65,000 - 35,000 - 15,000 = 15,000 \text{ kg}$
- Based on MLM:
- Max mass at take-off allowed by landing limit: $55,000 + 8,000 = 63,000 \text{ kg}$
- Traffic Load: $63,000 - 35,000 - 15,000 = 13,000 \text{ kg}$
- Based on MZFM: $52,000 - 35,000 = 17,000 \text{ kg}$
Result: The lowest value is 13,000 kg (limited by Landing Mass).