Details of the plane's construction have been provided by others. One thing you will notice about the wings is that beneath the outer surface, the wings are not smooth, uniform pieces of metal. There are metal supports with gaps in between. This affects how columns behave during the collision with the wings. Consider a column struck on one side by a support and on the other by a gap. The differential force applied to each side of the column can result in a torque capable of deflecting the column to either side, depending on the details.
As an analogy, imagine a car traveling directly North striking a stationary car head-on. The stationary car could not possibly go east or west, could it? Of course it could, if the other car hit it off center. Same can happen with columns.
This is but one possibility out of hundreds of trillions that are more plausible than lack of a plane.