Bending Analysis of Parabolic Velaroidal Shells

by Hassoun A. Hadid, (Aff.M.ASCE), Prof. of Civ. Engrg.; Univ. of Mosul, Iraq; also, Visiting Prof., Univ. of Colorado at Boulder, Boulder, Colo.,
Paul P. Lynn, (Aff.M.ASCE), Assoc. Prof.; Dept. of Civ., Environmental, and Architectural Engrg., Univ. of Colorado at Boulder, Boulder, Colo.,

Serial Information: Journal of the Structural Division, 1980, Vol. 106, Issue 7, Pg. 1609-1621

Document Type: Journal Paper


This paper deals with the linear analysis of parabolic velaroidal shell on rectangular base subjected to a uniform normal pressure. Vlassov's governing differential equations for thin shallow shells with variable curvatures in terms of displacements have been employed for the analysis. The integral equation technique is used for the numerical solution of these differential equations. A computer program has been developed for the analysis of the shell. This program gives deflections and stress resultants at various points in the shell under uniformly distributed loads. The present results are compared with Brebbia's experimental data and with other available numerical results. In all these comparisons, a good agreement is achieved.

Subject Headings: Bending (structural) | Paraboloid | Linear analysis | Differential equations | Displacement (mechanics) | Numerical methods | Curvature | Integrals

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