Thin walled polymer balloon deflection

Hi,
I am designing an inflatable balloon (long and thin like those used to make balloon animals) with a purpose to support a force in a manner like a cantilever.

I am struggling to find literature/assistance regarding the calculations required to determine balloon deflection under a standard perpendicular force. I don't know how to equate the hoop/axial stresses, the elastic modulus of the material and lastly the equations for simple beam deflection.

If anyone can shed some light on this problem I would be grateful!

Thanks,
Tom