Computer program calculates the stresses and lateral deflections to a uniform thickness flat plate with a uniform pressure load. The plate to be analyzed may have several different boundary conditions. The program is written in FORTRAN 4 for use on the CDC 6600 computer

Swanson, J. A.

English

NASA Technical Reports Server

February 1969
	
Brief 69-10035 
AEC-NASA TECH BRIEF 
AEC-NASA Tech Briefs describe innovations resulting from the research and development program 
of the U.S. AEC or from AEC-NASA interagency efforts. They are issued to encourage commercial 
application. Tech Briefs are published by NASA and may be purchased, at 15 cents each, from 
the Clearinghouse for Federal Scientific and Technical Information, Springfield, Virginia 22151. 
General Series Solution Technique for Bending of Irregular 
Laterally Loaded Flat Plates 
A computer program has been developed to cal-
culate the stresses and lateral deflections to a uniform 
thickness flat plate with a uniform pressure load. The 
plate to be analyzed may have several different types 
of boundary conditions. The method handles plates of 
irregular geometry, for which analytic solutions are 
not available. 
The computer program determines the best coeffic-
ients for a truncated series solution for the deflec-
tion of the flat plate under a lateral load. These coef-
ficients are obtained by a least-squares fit to the 
boundary conditions at a finite number of boundary 
points. The accuracy of the solution depends on the 
number of terms used from the series. The program 
limits the number of series terms to 140 and the num-
ber of boundary points to 300. 
At each boundary point two boundary conditions 
are selected. The allowed boundary conditions are: 
specified deflection, specified slope, specified moment, 
specified shear force, or a free straight edge. From 
these conditions the usual cases of fixed edges, simply 
supported edges, free straight edges, and lines of sym-
metry can be obtained. 
After the best coefficients for the series solution are 
obtained, the deflections, shapes, and stresses can be
calculated for any point on the plate. 
Notes: 
I. The program is written in Fortran IV for use on 
the CDC 6600 computer. 
2. A polar series solution cannot be guaranteed to 
converge for an arbitrary geometry. However, this 
program has given excellent results for a wide 
range of geometries. 
3. Inquiries concerning this program may be made to: 
COSMIC 
Computer Center 
University of Georgia 
Athens, Georgia 30601 
Reference: B69-10035 
Patent status: 
No patent action is contemplated by AEC or 
NASA.
Source: John A. Swanson
Westinghouse Astronuclear Laboratory
under contract to
AEC—NASA Space Nuclear Propulsion Office
(NUC-10170) 
Category 06 
This document was prepared under the sponsorship of the Atomic 
Energy Commission and/or the National Aeronautics and Space 
Administration. Neither the United States Government nor any per-
son acting on behalf of the United States Government assumes any
liability resulting from the use of the information contained in this 
document, or warrants that the use of any information, apparatus, 
method, or process disclosed in this document may not infringe pri-
vately owned rights.
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General series solution technique for bending of irregular laterally loaded flat plates

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