<DOC>
<DOCNO>
1175
</DOCNO>
<TITLE>
stresses from local loadings in cylindrical pressure
vessels .
</TITLE>
<AUTHOR>
bijlaard,p.p.
</AUTHOR>
<BIBLIO>
asme trans. 77, 1953.
</BIBLIO>
<TEXT>
  a short discussion is given of the possible methods for
computing the stresses caused in cylindrical shells by local
loadings .  it is concluded that the method of developing
the loads and displacements into double fourier series
leads to formulas which are best suited for numerical
evaluation .  with this method the pertinent expressions
for the displacements caused by radial loads are found by
reducing the three partial differential equations of the
shell theory to an eighth-order differential equation in the
radial displacements, which is similar to, but not identical
with, those derived by donnell and yuan .  insertion of the
fourier series for the radial displacements and the external
loading in this equation leads directly to a double series
expression of the radial displacement w in terms of the load
factors of the radial load .  this results in the pertinent
expressions for the other displacements and for the bending
moments and membrane forces .  the cases of radial
loading considered here and those which can be reduced to
it are (a) a load uniformly distributed within a rectangle,
tion, uniformly distributed over a short distance in the
circumferential direction, (d) a moment in the circumferential
direction, uniformly distributed over a short
distance in the longitudinal direction .  for all these loadings
the load factors, which have to be used in the
pertinent formulas for the displacements, bending moments,
and membrane forces, are computed .  for the case
of tangential loading an eighth-order differential equation
is derived in terms of the radial displacement and the
tangential load .  using this equation, formulas for the displacements,
bending moments, and membrane forces for
tangential loading within a rectangle are found .
</TEXT>
</DOC>
