Charts Giving Critical Compressive Stress of Continuous Flat Sheet Divided Into Parallelogram-Shaped Panels Page: 23 of 32
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NACA TN 2392
equations (B2a) to (B2c). For this buckle pattern, equations (B2a)
exist for m = 2, 4, 6, . . . and n = 1, 3, 5, . . .; equations (B2b)
exist for m = 3, 5, 7, . . . and n = 2, 41, 6, ..; equations (B2c)
exist for n = 2, 4, 6, . . ; and equations (B2d) and (B2e) do not exist.
The buckling coefficient kx for loading in the x-direction was calcu-
lated for the panel configuration 0 = 60, 0 = 3 for which this buckle
pattern applies, and a value kx = 6.95 was obtained. This result was
obtained when four a's and four b's were used in the deflection
Antisymmetric buckling, periodic over 2a, b'.- For antisymmetric
buckling, periodic over 2a and b', the infinite set of stability
equations derived from the function (Bld) may be written directly from
equations (B2a) to (B2d). For this buckle pattern, equations (B2a)
exist for m = 1, 3, 5, . . and n = 2, 4, 6, . . .; equations (B2b)
exist for m = 2, 4 , . . . and n = 3, 5, 7, . .; equations (B2c)
do not exist; equations (B2d) exist for m = 2, 4, 6, . . .; and equa.
tion (B2e) does not exist.
Calculations were carried out for =.60o, = 1.2, a panel
configuration for which this buckle pattern applies. An adequate
representation of the deflection was obtained when four a's and
four b's were used in the deflection series (Bld) which gave a value
of kx = 16.22.
As was pointed out in the beginning of this appendix, these more
accurate solutions were carried out only for those panels for which the
mode of buckling was relatively simple and clearly indicated by the
results of appendix A. In the absence of such information it would be
necessary to investigate all conceivable modes of buckling for a given
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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/m1/23/: accessed May 24, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.