<DOC>
<DOCNO>
1033
</DOCNO>
<TITLE>
the design of tubes under uniform external pressure on the
basis of assumed inaccuracies .
</TITLE>
<AUTHOR>
</AUTHOR>
<BIBLIO>
</BIBLIO>
<TEXT>
since the failure of tubes under uniform external pressure depends
very much upon the various kinds of imperfections in them,
it seems logical to derive a design formula for such tubes in
which the quantities depending on imperfections will appear explicitly .
the most common imperfection in tubes is an initial ellipticity,
the limiting value of which in each type of tube is usually well-known
from numerous inspection measurements .  the deviation of the shape
of the tube from a perfect circular form can be defined by the
initial radial deflections w' .
</TEXT>
</DOC>
