Analysis of Square Shear Web Above Buckling Load Page: 4 of 45
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NACA T No. 962
t t . yI
x y xy
a a r 1 ,1 'V11
c" If " II I I
x' 7 ' xy
median fiber strains
median fiber stresses
extreme fiber bending stresses
coefficients in stress function
coefficient in stress function
coefficient in deflection function
integral numbers used as subscripts
apparent shearing deformation of beam
(Y is the angle through which the flanges
of the beam rotate relative to the struts)
displacements in x and y directions,
bending moment in flange
Consider an initially flat square plate of uniform
thickness. Two opposite edges are assumed to be simply
supported by heavy flanges, integral with the plate, which
allow rotation about the edges but prevent displacement
parallel to the edges and force the edges to remain straight.
The other two edges are simply supported by struts, integral
with the plate, which allow rotation about the eges and dis-
placement parallel to the edges corresponding to shortening
of the strut under load but maintain the edges in a straight
EQUATIONS FOR THE DEFORMATIONS OF THIN PLATES
The fundamental equations governing the deformation of
thin plates were developed by Von Karman. They are (see refer-
ence 1, pp. 322-323):
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Levy, Samuel; Fienup, Kenneth L. & Woolley, Ruth M. Analysis of Square Shear Web Above Buckling Load, report, July 1944; (https://digital.library.unt.edu/ark:/67531/metadc57287/m1/4/: accessed June 18, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.