Optimized Design of Spherical Dome with Sky Light (Using Compatibility Method of Analysis)

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Date

2019-04

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Addis Ababa University

Abstract

Reinforced concrete thin Spherical dome shell roof structure construction for top covering of containment structures, memorial buildings, meeting halls, mosques and cathedral churches is in continuous demand in developing countries, like Ethiopia. Due to its strength, economy, containment of large space and aesthetical value than other shape of roofs, spherical dome shell is largely constructed as a reinforced concrete roof structures. This structure is classified as shell of revolution having greater than zero Gaussian curvature which shows the greatest stiffness of it. This roof structure can be subjected to axisymmetric and asymmetrical loadings, but in this study the axisymmetric loadings such as loads from top ring beam, live load and self-weights are considered. In this study, it has been investigated the cost optimized design of reinforced truncated spherical dome shell roof structure which is stiffened by rectangular cross section circular ring beam at base of it. The cost optimized is done for spherical dome having base area from 78.539 m to 530.929 m 2 2 using Scilab programing language. The developed program follows compatibility method of analysis to get the effects of axisymmetrical external loadings, European codes for designing of the sections and Brute-force optimization method to get the best minimum total material costs of the roofs. From this program the optimized total minimum material costs are obtained in addition to optimized values of cross sectional and geometrical dimensions, and reinforcement areas. From the result most of the optimized design variables are obtained around the lower bounds of side constraints. The optimized values of meridional reinforcements are obtained from singly reinforced section design, and they have the same value per unit meter width at every meridional angle. The circumferential reinforcements like the meridional have the same values per unit meter at every meridional angle of spherical dome. The total cost spherical dome component of the roof has significant influence on the total cost of the whole roof structure than ring beam structural component and the material cost of the concrete has also significant influence on the total cost of the roof.

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Keywords

Spherical Dome, Compatibility Method of Analysis, Sky Light

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