Charts Giving Critical Compressive Stress of Continuous Flat Sheet Divided Into Parallelogram-Shaped Panels Page: 22 of 32
This report is part of the collection entitled: National Advisory Committee for Aeronautics Collection and was provided to Digital Library by the UNT Libraries Government Documents Department.
The following text was automatically extracted from the image on this page using optical character recognition software:
NACA TN 2392
6(4 + 6m2 + 1)
Bml = + 3202 + 16(1 + 3 tan20)(m2 + 1) -
6(kx + ky tan2 )(m2 + 1) - 8P0ky
B11= + 482 + 32(1 + 3 tan ) - 12(kx + ky tant) - 12y
The stability criterion is obtained by equating to zero the determinant
formed by the coefficients of amn and ban in equations (B2). The
numerical results calculated from this set of equations may be found in
table 1. In each case four of each of the coefficients amn and bmn,
which gave an eighth-order determinant, were used in the calculations to
insure an adequate representation of the buckle pattern.
Symmetric buckling, periodic over 2a, 2b'.- For symmetric
buckling, periodic over 2a and 2b', the infinite set of stability
equations derived from the function (Blb) is the same as that derived
from the function (Bla) except for a change in the values of m and n
involved. For the buckle pattern now under consideration, equations (B2a)
exist for m = 1, 3, 5, . . . and n = 1, 3, 5, . . . Similarly, equa-
tions (B2b) exist for m = 2, 4, . . and n = 2,4, . ., and equa-
tions (B2c), (B2d), and (B2e) do not exist. Note should be taken that
coefficients with the subscripts m - 1 and n - 1 in equations (B2a)
drop out for m = n = 1 since coefficients with a zero subscript do not
appear in the deflection function (Blb). For the same reason coefficients
with the subscripts m - 2 and n - 2 should be dropped from equa-
tions (B2b) for m = n = 2.
The numerical results calculated for certain panel configurations,
in which a symmetrical buckle pattern repeating over 2a and 2b' is
associated with the lowest buckling load, are given in table 1. For the
panels in which = 300 and 450, four equations involving all, a13,
a31, and b22 were employed in the calculations. For the panels of
600 skew, four of each of the coefficients amn and bn were required
to provide an adequate representation of the buckle pattern6
Antisymmetric buckling, periodic over a, 2b'.- For antisymmetric
buckling, periodic over a and 2b', the infinite set of stability equa-
tions derived from the function (Blc) may be written directly from
Here’s what’s next.
This report can be searched. Note: Results may vary based on the legibility of text within the document.
Tools / Downloads
Get a copy of this page or view the extracted text.
Citing and Sharing
Basic information for referencing this web page. We also provide extended guidance on usage rights, references, copying or embedding.
Reference the current page of this Report.
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/m1/22/: accessed May 21, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.