Calculation of Load Distribution in Stiffened Cylindrical Shells Page: 3 of 70
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2 TA.0.A. Technical Memorandum No. 866
by transverse forces if the loads are applied at the inter-
mediate transverse walls which are restrained from defor-
natton, or if the dimensions are not uniform along the
axis, or if the shell is rigidly attached at the end (fig.
Ib). Finally, a small transverse stiffness of the bulk-
heads (as, for example, in monocoque fuselages) may, on
tho application of arbitrary transverse forces and moments,
affect the elementary stress distribution.
The computation of the additional stresses due to rep
strain against deformation of a transverse section in
torsion, has already been treated by several authors (ref-
eronce 2). A method of determining the additional stress-
es arising.on the application of longitudinal.forces in
long, thin-walled, cylindrical shells has been given in a
paper by H. Wagner. and H. Simon (reference 3). For shells
with strong longitudinal and transverse stiffening, a sin-
plified shell model with redundant axial groups of forces
has boon proposed in a previous work, in which the force
distribution is determined by a statically indeterminate
computation.1 This method has been applied to the treat-
ment of the special case of the 8-stringor cylindrical
shell with double croce-soctional symmetry undor axial
load (roforonco 5). In tho present paper the underlying
principlos aro presented in a conprohensive manner and the
computation is extended to cylindrical shells of arbitrary
cross section under bending, twisting, and axial loading.
For the latter case there is investigated, with the aid of
numerical examples, the effect of various stiffeners on
the force distribution. The method is further applied to
a cylindrical shell whose stress distribution has beon ox-
erinontally determined for the case of axial loading.
See roforonco 1.) A corresponding computation for the
case of stiffened flat disks will appear in a later work
in connoction with similar test results.
II. UNDERLYING PRINCIPLES OF THE METHOD
1. Simplified Modol of the Sholl Structure
Tho cylindrical shells consist essentially of the
shoot or skin, the longitudinal stiffeners (stringers),
The sane sinmplifications for the computation of stiffened
shells are given by 0. S. Heck in his .paper (reference 4).
His procedure, illustrated by examploe, differs essentially
from the one here presented in the choice of the static
re dundancie s.
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Ebner, H. & Köller, H. Calculation of Load Distribution in Stiffened Cylindrical Shells, report, June 1938; (digital.library.unt.edu/ark:/67531/metadc63311/m1/3/: accessed December 14, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.