Charts Giving Critical Compressive Stress of Continuous Flat Sheet Divided Into Parallelogram-Shaped Panels Page: 4 of 32
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NACA TN 2392
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DESCRIPTION OF PROBLEM
An idealized arrangement of the supporting structure possible for
swept and delta wings is shown in figure 1, wherein a part of a con-
tinuous flat sheet infinite in length and width is shown divided by non-
deflecting supports into an array of parallelogram-shaped panels, of
which rectangular panels are a special case. For the case of rectangu-
lar panels the assumption is usually made that, if the supporting mem-
bers are torsionally weak, the plate bending moments arising during
plate buckling under edge compression stress are negligible at the panel
boundaries and each panel therefore may be treated as an isolated rec-
tangular plate with simply supported edges. Stability data for such
panels are available in standard textbooks, such as reference 1.
Wheh a simply supported rectangular plate in compression is skewed
into the shape of a parallelogram, a certain increase in stability due
to the shape change is achieved, as shown by the numerical examples in
reference 2. A further increase in stability is possible when the
skewed panels are part of a continuous sheet because of the restraint
the adjacent sheet panels impose on each other during the formation of
a continuous buckle pattern. The effect of this type of restraint is
illustrated in reference 3 for the case of continuous sheet divided into
square panels subject to shear stress. Restraint due to sheet con-
tinuity would be present in the case of parallelogram-shaped panels
regardless of whether the loading is edge compression or shear.
Two orientations of the parallelogram-shaped panels with respect
to the principal direction of the compressive stress due to wing bending
are considered in the present paper. The two loading conditions are:
stress acting parallel to a set of panel sides and stress acting perpen-
dicular to a set of panel sides. Both loading conditions are shown in
In the analysis the assumption is made that the supporting members
are rigid enough to prevent deflection of the sheet at the panel
boundaries but offer no restraint to rotation. A quantitative analysis
of the stiffnesses required of supporting members (ribs, stiffeners,
shear webs, etc.) to prevent deflection around the edges of parallelogram-
shaped sheet panels is beyond the scope of this paper, but indications
are that they would be somewhat higher than the stiffness required to
support equivalent rectangular sheet panels.
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Anderson, Roger A. Charts Giving Critical Compressive Stress of Continuous Flat Sheet Divided Into Parallelogram-Shaped Panels, report, July 1951; (https://digital.library.unt.edu/ark:/67531/metadc59839/m1/4/: accessed April 23, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.