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Title: The theory of orthotropic plates under lateral pressure and its application to corrugated plates
Author: Basu, Amiyakumar
Awarding Body: University of London
Current Institution: Imperial College London
Date of Award: 1964
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A finite difference solution is given for the large deflection behaviour of rectangular orthotropic (and isotropic) plates under any symmetrical system of transverse loading. The equations are programmed for the Atlas computer and the thesis includes a few examples of the solutions which can be obtained by inserting appropriate parameters in the program. The program allows the following quantities to be specified: 1. Any length to breadth ratio. 2. Any symmetrical system of distributed or patch loading. 3. Flexural and extensional rigidities of the plate in the x and y directions. 4. Torsional and shear rigidities of the plate. 5. Rotational, normal extensional and tangential elastic restraints at the boundaries. Solutions are compared with existing solutions where these are available, and with experimental results, including two tests on swedged plates which form part of the present investigation° There is good agreement in all cases. The investigation shows the importance of membrane action in the plate, and the influence of the various boundary restraints. The deflection of a plate with complete boundary restraint against in-plane movement, for example, may be only half as much as when the restraint is absent. With the help of the solutions given it is now possible to state the errors involved in the usual assumptions that the restraints are either completely rigid or completely absent. The method of calculating the local stresses and deformation in the corrugations, presented in this thesis, makes use of the solution for the overall behaviour of the plate obtained by the orthotropic plate theory and is applicable for any degree of membrane action in the plate. The validity of the method has been satisfactorily demonstrated by the two tests on swedged plates.
Supervisor: Chapman, J. C. Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available