Optimized Design of Spherical Dome with Sky Light (Using Compatibility Method of Analysis)
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Date
2019-04
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Publisher
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.
Description
Keywords
Spherical Dome, Compatibility Method of Analysis, Sky Light