Why Va falls when you are light
Maneuvering speed is, in the usual training explanation, the highest speed at which a full, abrupt control input or a sharp gust should stall the wing before it reaches the limit load factor. Stall speed itself falls with the square root of weight, so Va does too:
Va(W) = Va,ref × √(W / Wref)
and, when a level-flight stall speed and a positive limit load factor nlim are known,
Va ≈ Vs × √nlim
A 172-class example: if Va is 105 KIAS at 2,550 lb, then at 2,200 lb it scales to 105 × √(2200/2550) ≈ 97.5 KIAS. Flying the gross-weight Va when you are light means you can, in principle, reach the limit load factor before the wing stalls.
What Va is not
Va is not automatically the recommended turbulence-penetration speed (that may be a different published speed). It does not authorize abrupt full-deflection inputs in both axes at once, and some airplanes have demonstrated that certain control inputs at Va can still overstress a surface. Always read the POH language for your type.
Sources
FAA Pilot’s Handbook of Aeronautical Knowledge, Chapter 5 (load factor, Va); FAA Airplane Flying Handbook; 14 CFR Part 23 limit maneuvering load factors (historical / applicable amendment). For stall speed versus weight and bank, see the stall speed calculator.
Frequently asked questions
Do I ever increase Va above the published gross-weight figure?
Not above the POH limit. If you are heavier than the weight at which Va was published — which you should not be, if that weight is max gross — the identity would scale Va up, but the structural limit in the book still applies. This page will still do the math and flag that the weight is above the reference.
Is the 3.8 load factor universal?
No. 3.8 is the usual positive limit for a normal-category Part 23 airplane; utility is typically 4.4 and aerobatic 6.0. Some types differ. Use the POH.
KIAS or TAS?
Published Va is an indicated (or calibrated) airspeed. Scale it as a speed in the same unit the book uses; do not convert to TAS first.