Discussion
Constraint values at four candidate wing loadings for a regional twin, expressed as the thrust-to-weight ratio each constraint demands.
| \( W/S \) (kN/m\(^2\)) | Takeoff | Second segment | Cruise |
|---|---|---|---|
| 4.0 | 0.21 | 0.28 | 0.22 |
| 4.8 | 0.24 | 0.28 | 0.21 |
| 5.6 | 0.27 | 0.28 | 0.21 |
| 6.4 | 0.31 | 0.28 | 0.22 |
At which wing loading does takeoff first become the binding constraint?
Answer: A
Correct answer: 6.4
The binding constraint at any wing loading is whichever demands the most thrust. Reading across each row: at \( 4.0 \), \( 4.8 \) and \( 5.6 \) the largest value is the second segment figure of \( 0.28 \), which exceeds both the takeoff and the cruise demands. At \( 6.4 \) the takeoff figure has risen to \( 0.31 \) and overtakes it.
So takeoff first becomes binding at \( 6.4 \) kN/m\(^2\). The pattern is typical: the takeoff column rises steadily with wing loading while second segment climb is nearly flat, so takeoff always takes over eventually - and the crossover marks the corner of the feasible region.
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