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Re: [PSUBS-MAILIST] acrylic cylinder



Sean,

According to the text under 13.3.3 (pgs 726,727), the graphs are supposed to show the elastic instability of a cylinder supported by bulkheads or stiffeners spaced L apart (page 727, first sentence under the formula). So aren't the curved plots showing the number of stiffeners present at a particular failure pressure?

Jon


Sean T. Stevenson wrote:
OK - I can understand the confusion, as Figure 13.15 puts a lot of information in one diagram. The each plotted curve corresponds to a t/D value, indicated by a text label beneath each plot. Each plot is a series of joined arcs, with each curved segment corresponding to a particular number of lobes expected during failure. These are the text labels above each plot - omitted on a few of the lower ones because the text would be too dense, but you can count in from the edges.

The X coordinate is L/D as you surmised, but the Y coordinate is not pressure - at least, not directly. Actually, using your L/D value, look up to the appropriate t/D plot (where you will find the number of lobes expected at failure) and then read across to the Y axis, to get a value of "eta" used in the following equation:

Pc = eta * 0.035 (Pc = eta * E * 10^-7 for non-acrylic material)

Where Pc is the short term critical pressure in psi.

Three separate plots are presented, but you can think of these as simply stacking on top of one another. The plot is log-log, showing two orders of magnitude in X and six in Y.

-Sean






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