Hi Bob
Yes I did know what you were getting at but I was going along with your discussion as you were making a very good point about the difference between buoyancy and displacement.
But to those readers who don't understand the technical differences between buoyancy and displacement I will expand upon your analogy of the solid plank and hollow box:
Both the plank and box will float because they are made from wood but whilst the plank floats simply because it is buoyant (most timbers float) the box floats because it is both buoyant and creates displacement. An explanation of displacement is at the bottom of this piece.
But if we substitute the wooden plank for a steel bar and the wooden box for a metal box…….the bar will sink because it is not buoyant however the metal box will float…….it becomes buoyant because of the displacement it creates.
If we apply the same principals of fluid dynamics to the barge:
If the barge were made from solid wood it would float much lower in the water than a conventional hull because of its extra mass, but we all know that boats aren't solid structures, they contain an empty void and no amount of solidity to the construction of the hull will alter the fact that the hull will float high in the water until an internal load (ballast) is added.
I apologise to the technically gifted for this somewhat simplistic explanation and to Bob for invading his train of thought.
Paul
In fluid mechanics, displacement occurs when an object is immersed in a fluid pushing it out of the way and taking its place. The volume of the fluid displaced can then be measured, and from this the volume of the immersed object can be deduced (the volume of the immersed object will be exactly equal to the volume of the displaced fluid).
An object that sinks displaces an amount of fluid equal to the object's volume. Thus buoyancy is expressed through Archimedes' principle, which states that the weight of the object is reduced by its volume multiplied by the density of the fluid. If the weight of the object is less than this displaced quantity, the object floats; if more, it sinks. The amount of fluid displaced is directly related (via Archimedes' Principle) to its weight.
In the case of an object that sinks (is totally submerged), the volume of the object is displaced. In the case of an object that floats, the amount of fluid displaced will be equal in weight to the displacing object.