<DOC>
<DOCNO>
1123
</DOCNO>
<TITLE>
an extension of donnell's equation for a circular cylindrical shell .
</TITLE>
<AUTHOR>
tsu-tao loo
</AUTHOR>
<BIBLIO>
associate professor of mechanics, rensselaer polytechnic institute,
troy, n.y.
</BIBLIO>
<TEXT>
in 1933, donnell succeeded in simplifying the equations of equilibrium
for a circular cylindrical shell
he obtained simple relations between the critical buckling shearing
stress and the physical properties of a thin circular cylinder under
pure torsion .  his approach reduces the tedious computations involved
in the classical solutions and is still in good agreement with them .
furthermore, it is easy to show that the well-known classical solution
for critical compressive stress of the cylinder under axial compression
can readily be obtained from donnell's equation .
</TEXT>
</DOC>
