Aircraft Thrust-to-Weight & Climb Gradient Resolver
Compute installed thrust-to-weight ratio (\(T/W\)), all-engine initial climb angle, and One-Engine-Inoperative (OEI) second-segment climb gradient compliance under FAA FAR 25.121 and EASA CS-25 transport category rules.
Key Facts
- Calculates aircraft thrust-to-weight ratio (T/W) and all-engine initial climb performance.
- Solves One-Engine-Inoperative (OEI) second-segment climb gradient compliance per FAR 25.121 and CS-25.
- Evaluates climb requirements: 2.4% for twin-engine airframes and 3.2% for four-engine aircraft.
- Models density altitude penalties and thrust lapse across elevated or high-temperature airfields.
1. Aircraft & Atmospheric Inputs
2. Climb Performance & Compliance
FAR 25.121 Compliance Assessment
The airframe satisfies the certified One Engine Inoperative obstacle clearance criteria with a safe positive climb gradient.
Aerodynamic Parameter Summary
Commercial Airliner Takeoff Thrust-to-Weight Benchmark
Baseline maximum takeoff thrust and certified MTOW figures across aircraft classes.
| Aircraft Model | Engines | Engine Model | Total Thrust | MTOW (kg) | MTOW T/W Ratio | OEI Regulatory Req |
|---|---|---|---|---|---|---|
| Airbus A321XLR | 2 | CFM LEAP-1A33 | 66,200 lbf | 101,000 kg | 0.298 | 2.4% (Twin) |
| Airbus A320neo | 2 | CFM LEAP-1A26 | 54,240 lbf | 79,000 kg | 0.312 | 2.4% (Twin) |
| Boeing 737 MAX 8 | 2 | CFM LEAP-1B28 | 58,600 lbf | 82,190 kg | 0.323 | 2.4% (Twin) |
| Boeing 787-9 | 2 | GEnx-1B70 | 140,400 lbf | 254,000 kg | 0.251 | 2.4% (Twin) |
| Airbus A350-1000 | 2 | Trent XWB-97 | 194,000 lbf | 319,000 kg | 0.276 | 2.4% (Twin) |
| Boeing 777-300ER | 2 | GE90-115B | 230,600 lbf | 351,534 kg | 0.298 | 2.4% (Twin) |
| Airbus A380-800 | 4 | Trent 970 | 288,000 lbf | 575,000 kg | 0.227 | 3.2% (Quad) |
Frequently Asked Questions
What is the second-segment climb gradient in transport category aircraft?
The second segment begins when landing gear is fully retracted at 35 feet above the runway and extends to a minimum of 400 feet above ground level. It represents the most critical obstacle clearance segment following an engine failure at V1.
What are the regulatory minimum climb gradients under FAR 25 and CS-25?
For One Engine Inoperative (OEI) second segment climb, regulations require a gross gradient of at least 2.4% for two-engine aircraft, 2.7% for three-engine aircraft, and 3.2% for four-engine aircraft at V2 speed with takeoff flaps.
Why do twin-engine aircraft typically have higher all-engine thrust-to-weight ratios than quads?
A twin-engine aircraft loses 50% of its total thrust upon an engine failure, whereas a quad loses only 25%. Consequently, twins require excess installed thrust on two engines to satisfy the 2.4% OEI climb gradient requirement.
How does high density altitude affect the climb gradient?
High temperature and high elevation reduce air density, which decreases turbofan mass flow and net thrust while requiring a higher true airspeed (TAS) for V2, compounding the reduction in climb angle.