Plain English Meaning
It is the highest speed at which you can make a sharp control movement and trust the wing to stall before the airplane is bent. Fly faster than this, and a hard pull or kick on the controls could overstress the structure.
Full Definition
Design maneuvering airspeed is the maximum speed at which the airplane will stall before exceeding its limit load factor when full or abrupt control inputs are applied on a single axis. Below this speed, the wing will stall before the airframe can be overstressed by a sudden control deflection; above it, the same control input can produce loads strong enough to cause structural damage.
Context Anchor
Seen in the aircraft flight manual, pilot’s operating handbook, and -speed discussions, often as VA.