Charts Giving Critical Compressive Stress of Continuous Flat Sheet Divided Into Parallelogram-Shaped Panels Page: 15 of 32
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NACA TN 2392
the range of aspect ratio covered, the lowest buckling coefficients were
associated with the parameters =- = = 1, except for the part of the
curve for = O in the region -< P < 1 for which the buckle pat-
tern is defined by P = 1, q = 2.
For the special case 0 =c , which specifies equal-sided panels,
and for p- 1 and kx = 0, equation (All) reduces to
4(1 + sin2) = ky(1 + sin2)
ky = 4
This result is the one obtained previously by substituting
w = sin sin - into the plate differential equation.
A determination of the buckling-stress coefficients for stress in
the x-direction from equation (AlO) may be made when a buckle pattern
has been specified by the parameters p/N, j/N, q/M, and j/M. For
a given panel shape, several buckle patterns must be investigated to
determine the pattern associated with the lowest buckling-stress coef-
ficient. The minimum computed coefficients thus obtained are plotted
in figure 2, and the parameters p/N, j/N, q/M, and j/M defining
the buckle pattern in each part of these curves are tabulated in table 2.
From the table, the data for _ = 450 and P = 3.2 were used to sketch
the buckle pattern shown in a previous section "Choice of deflection
function." Similarly, the buckle pattern associated with any other
panel configuration covered in figure 2 can be sketched by substituting
the appropriate parameters from table 2 into the general deflection
function, equation (A3). This procedure was followed in preparing
The interaction curves in figure 5 were derived by trial-and-error
solution of equation (AlO) by the process explained in the previous
paragraph. The parameters defining the buckle pattern in each segment
of these curves are tabulated in table 3.
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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/m1/15/: accessed May 24, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.