<DOC>
<DOCNO>
831
</DOCNO>
<TITLE>
buckling of shallow shells under external pressure .
</TITLE>
<AUTHOR>
reiss,e.l.
</AUTHOR>
<BIBLIO>
j. app. mech. 25, 1958,556.
</BIBLIO>
<TEXT>
a formula for the initial buckling loads for clamped, shallow spherical
shells under uniform external pressure is obtained by combining the
solutions of two linearized versions of the original nonlinear problem .
one of these versions is a linear eigenvalue problem while the other is
the bending problem for a shallow cap in the linear theory of
elasticity .  the formula, which is obtained in a simple manner, yields
buckling loads that are in better agreement with experiments than previous
approximate solutions to the nonlinear problem .
</TEXT>
</DOC>
