Research Article
Apr 1963
Structural Analysis of Solids
Publication: Journal of the Structural Division
Volume 89, Issue 4
Abstract
No new pitfalls are revealed in this use of the stiffness method for analyzing three-dimensional solids. Numerical experiments show the importance of using the monotonic convergence criteria. They demonstrate the desirability of using energy relations to define loading. They verify the superior accuracy of the prism geometry over the tetrahedron. The relative accuracy of various matrices correlates well with the relative values of the stiffness matrix trace and latent roots. The bases for development of four stiffness matrices are presented and coefficients cited for the matrices of special interest. Six loadings on a rectangular prism are analyzed. Exact solutions are compared with numerical results for one, eight, and sixty-four subprisms. All subprisms have the same shape. Using this shape, the trace and latent roots of each matrix are obtained. It is shown that the smaller the trace and roots, the more accurate the matrix is in solving problems.
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Published In
Journal of the Structural Division
Volume 89 • Issue 4 • April 1963
Pages: 205 - 223
Copyright
© 1963 American Society of Civil Engineers.
History
Published in print: Apr 1963
Published online: Feb 1, 2021
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Authors
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Robert J. Melesh
Senior Engrg. Specialist, Western Development Labs., Philco Corporation, Palo Alto, Calif.
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.