Optimum dimension for a cylindrical vessel subject to external pressur

[rollingstein]

While doing some ASME code calculations for a pressure vessel subject to external pressure I was wondering what'd be the optimum L/D ratio for a vessel that is subject to buckling under external pressure. For a given volume & Pressure.

Could a general L/D ratio be derived or would it change with scale & imposed pressure. It's hard to use conventional optimization since a lot of the buckling design seems a mix of tables, formulae & charts.

In general to prevent buckling larger wall thickness helps but on the other hand both small L & D are good. Wondering if L or D dominates. i.e. a long vessel or a shorter stouter vessel.

Any idea? Of course, this is assuming stiffing rings aren't an option.

 

[Navin A S]

The general L/D ratio to prevent buckling under external pressure will vary depending on the scale and imposed pressure. Generally, smaller L and D ratios are better for preventing buckling, as a shorter, stouter vessel can be more resistant to buckling due to its shorter length. However, if the vessel is large enough, a longer, thinner walled vessel may be preferred. Additionally, stiffening rings can also be used to help prevent buckling. Ultimately, the best L/D ratio will depend on the specific details of the pressure vessel, and should be determined through an appropriate design calculation.