Forces on a cylindrical vacuum chamber

[papernuke]

If a cylindrical vacuum chamber's diameter is increased, then the inward force on the two ends will increase because the area is increased.

However, if the length of the chamber is increased, while keeping diameter constant, will that increase the net inward force on the chamber?
Or does each little hoop (thinking of it as 2∏R*dL) provide its own outward force to balance out only the little pressure on the sliver of area above it?

 

[256bits]

It is a length/ diameter ratio where that is applicable.
A short stubby cylinder would have the ends supporting most of the force on the hoop. A longer taller cylinder would have the hoop having to support the force on its own.
Where the l/d ratio deviates from one to the other for engineering stress purposes I guess you would have to research.