Load factor in turns
Load factor (n): load wings carry / actual weight (TP 1102).
- n = 3: structure carries 3x gross weight, 3 Gs.
- Rough estimate in a manoeuvre: how hard pressed into the seat (TP 1102).
Level turn load factor by bank (TP 1102):
| Bank | Load factor n |
|---|---|
| 30° | 1.15 |
| 45° | 1.41 |
| 60° | 2.00 |
| 80° | 5.76 |
- Formula:
n = 1 / cos φ(φ = bank angle). Steeper bank tilts lift sideways, so more total lift needed to hold weight. - n depends on bank alone, not airspeed: faster aircraft turns at slower rate at given bank, n unchanged (PHAK).
- Level 90° bank impossible: n goes to infinity as φ approaches 90° (TP 1102).
- Pull-up: abrupt pull-up loads wing above 1 G (TP 1102).
- Push-over or bunt: negative G (TC AIM AIR).
Judging load factor (PHAK):
- Control-column pressure is not a reliable index: control-system leverage (balanced vs. unbalanced control surfaces) differs between aircraft types.
- Most cases: experienced pilot judges by seat pressure.
- Accelerometer measures directly, but uncommon in general aviation training aircraft.
Resultant in coordinated, constant-altitude turn (PHAK): load factor is the resultant of centrifugal force and weight.
- At 60° bank: centrifugal force is 1.73 G, gravity is 1 G, giving resultant load factor 2 Gs.
Steep-turn risk (PHAK, TP 1102):
- Inadvertent stall: rising load factor in steep turn or spiral can stall aircraft well above 1 G stall speed. Intentional stall above design manoeuvring speed (Va) imposes tremendous load factor (TP 1102, line 573).
- Practical max bank: conventional light aircraft, sustained coordinated level turn: approx 60°. Each 10° beyond that adds roughly 1 G, nearing point where structural damage may occur (TP 1102).
- Accident pattern: sudden, unexpected loss of control has caused many accidents, esp. steep turn or abrupt back-elevator near ground, where little height to recover.
Trap: 60° answer is the resultant, 2 Gs, not the 1.73 G centrifugal force alone.
References
- TP 1102 (Flight Training Manual)
- PHAK ch.5 Aerodynamics of Flight
- PHAK ch.5 Aerodynamics of Flight, Load Factors and Stalling Speeds