Wingspan 2026-11-05
The wingspan of an aircraft wing is its lateral tip-to-tip extent. For a symmetric wing planform, a spanwise coordinate runs from at one tip to at the other; the semispan is . This geometrical distance differs from the local fore-and-aft airfoil chord.[ref]
Wing Geometry by NASA Glenn Research Center. Top View: tip-to-tip span and chord directions
Together with wing area , the wingspan defines the dimensionless wing aspect ratio,For a rectangular wing planform of constant airfoil chord , , giving . For example, a wing with and has . A second wing with the same wing area but has . Equal wing area therefore does not imply equal lateral slenderness.
There is also a simple structural reason why the span matters. Suppose a symmetric wing supplies total upward lift , distributed uniformly along its span. On one half-wing the resultant load is and acts from the center. The corresponding bending moment at the center isFor and this gives . This is an idealized aerodynamic loading calculation: the actual load distribution, structural supports and component masses modify the wing's bending moment. It nevertheless shows why increasing wingspan affects the structure as well as the wing aspect ratio.
Wing sweep 2026-11-05
Wing sweep describes the inclination of a chosen spanwise line in a wing planform relative to the direction perpendicular to the aircraft's longitudinal axis. It must name the reference line: a leading-edge sweep angle and a quarter-chord sweep angle can differ on the same aircraft wing. A swept wing therefore needs a reference convention, not just an unqualified angle.[ref]
Applied Computational Aerodynamics by W. H. Mason. Appendix A, trapezoidal-planform geometry and sweep definitions
Let increase aft, let increase from root toward one tip, and define the straight leading edge and linearly varying airfoil chord byThe line at chord fraction has . Differentiating gives the exact geometric relationFor , , and , the quarter-chord sweep angle is . This reference-line dependence of wing sweep is purely geometric.
There is also a useful high-speed approximation. Resolving the incoming velocity perpendicular to a swept straight leading edge gives the normal Mach number for a swept leading edge, . Thus and give . This component is a guide to compressibility effects, not an exact prediction of shock wave formation on a finite wing with thickness and a fuselage.
In a 1947 experiment, Richard T. Whitcomb compared unswept wings with forward and backward sweep in the Langley 8-foot high-speed wind tunnel. Pressure measurements and wake surveys over Mach numbers from 0.60 to 0.96 showed shock-associated changes occurring later for the swept configurations. The reported shifts were not exactly the simple cosine prediction.[ref]
An Investigation of the Effects of Sweep on the Characteristics of a High-Aspect-Ratio Wing in the Langley 8-Foot High-Speed Tunnel by Richard T. Whitcomb. Abstract, test configurations and comparison with the sweep cosine factor
Wing taper ratio 2026-11-05
The wing taper ratio is the tip airfoil chord divided by the root airfoil chord :It describes the relative narrowing of a wing planform toward its tips. A rectangular wing has ; a straight-edged triangular wing has . The ratio specifies two chord values, not the entire spanwise chord distribution.[ref]
Applied Computational Aerodynamics by W. H. Mason. Appendix A, pp. A-27–A-29: trapezoidal-planform definitions
For a symmetric trapezoidal wing planform with wingspan , the chord varies linearly on each half-wing:Integrating this expression gives wing areaFor a prescribed wing area and wingspan, the required chords are thereforeFor example, , and give and . At the chord is . A rectangular wing with the same wing area and wingspan instead has chord everywhere.
Changing wing sweep while preserving these chord lengths leaves the wing taper ratio unchanged. Curved or compound edges can also share the same root and tip chords while enclosing different wing areas. Consequently the trapezoidal area formula requires the stated straight-edge assumption; a taper ratio alone cannot supply a general area or a prediction of lift.