QUOTE (hobgoblin @ Jan 8 2011, 01:51 PM)

Let's start with the simple balloon ball.
M = 1.5 Pressure * Volume * density of material / max stress of material
Assuming we have total vacuum, that gives us a pressure of 101k Pascal
Volume, let's use 1 hindenburg : ~200,000 m^3
So let's try a carbon-nanotube assembly, being the strongest, lightest material I can think of. They have a density of 0.55g/cm^3 => 550kg/m^3. Nanotubes appear to have 150G Pascals of compressive strength, per some quick google-fu.
M = 1.5 * 0.1 G Pa * 200,000 m^3 * 550kg/m^3 / 150G Pa = 110,000 kg
The displaced mass is 200,000m^3 x the density of air (1.2Kg/m^3) = 240,000kg.
Total gain: 130,000 kg that can be used for drive system, fuel, control systems, gondola, cargo, and crew. Considering that's enough mass capacity for 2 M1 Abrams tanks, I think that can be done.
The hydrogen-lifted hindenburg had a total capacity of ~250,000 kg (the bags were slightly larger than the nice, round 200k m^3 volume I used) and the craft massed 215,000 kg when fueled.
We can use the bullet-shaped vessel formula to get the classic cigar-shaped blimp. We'll use the dimensions of the hindenburg, 20m radius and 220m of cylindrical body for a total length of 240m.
M = 2 pi R^2 (R+W) * pressure /density
M = 2 * 3.14 * 20^2 * (20+220) * 0.1 Gpa * 550kg/m^3 / 150G Pa = 221,000 kg
This would have the same displaced mass of 240,000 kg, giving us 40,000kg gain for drive, fuel, controls, gondola, etc. That's quite a bit less than the Hindenburg.