A computer program for generating design charts of L-shaped short columns on the basis of EBCS 2 - 1995
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Date
2009-07
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Addis Ababa University
Abstract
In this thesis a program is developed to generate design charts of L-shaped reinforced concrete
column on the basis of EBCS-2, 1995. Design chart can be prepared for any cross-sectional
dimension of columns with possible arrangements of reinforcement bars. The program will have
also freedom for the choice or different reinforcement and concrete grades. The section is always
bi-axial and strength is computed by assuming different position of the neutral axis of given
orientation. Strain compatibility and equilibrium equations are applied for the section capacity
determination according to the Ethiopian Building Code Standard.
Green’s theorem is used to convert the double integral over the area in to line integral. The
Gaussian Integration is also used to convert the double integral over the compressive zone in to a
line integral along the perimeter of the compressive zones. Finally numerical method is used to
convert the line integral in to simpler mathematical expression for programming. The principles of
coordinate geometry are used to calculate the intersection point of two lines, the distance between
to points and other important parameters to be incorporated in the program. Although equivalent
rectangular stress-distribution due to Whitney can be used with out much loss in accuracy, the
parabolic-rectangular stress distribution is used for the analysis of the concrete section as is
primarily recommended by EBCS-2, 1995.
The design chart can be generated for all possible reinforcement ratios and any possible orientation
of the neutral axis. It should however be noted that the Ethiopian building code standard
limitations on the reinforcement ratio, section dimension, amount of reinforcement bars should be
maintained for good design. The program is written in visual Fortran programming language;
however, the program can be run from Microsoft visual C++ window without any change in the
algorithm. The output of the program will be automatically exported and saved in to a text file that
can be opened using Microsoft office excel program to generate the charts. The chart generated is
finally verified with registered version of Alashki’s program for accuracy and satisfactory results
are obtained.
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Civil Engineering