Title:
Analysis of Rectangular Sections Using Transformed Square Cross Sections of Unit-Length Side
Author(s):
Girma Zerayohannes
Publication:
Structural Journal
Volume:
112
Issue:
1
Appears on pages(s):
13-22
Keywords:
analysis; biaxial bending; cross section; hollow sections; homogeneous transformation; solid sections; transformed sections; unitside length.
DOI:
10.14359/51687295
Date:
1/1/2015
Abstract:
This paper deals with the analytical proof of the equivalence
between the relative biaxial bending resistance of a rectangular solid reinforced concrete section and the biaxial bending resistance of the transformed solid square section of unit-length side. Similar proofs are also derived for rectangular hollow sections. The results of the analytical proof show that the relative biaxial bending resistance of a rectangular solid section is identical to the biaxial bending resistance of the transformed square solid section of unit-length side. These results only occur when the concrete fiber and reinforcing bar coordinates in the transformed section are in conformity with the transformation that maps the rectangular section into a square cross section of unit-length side. The concrete and steel stresses in the transformed section comply with the resulting stress transformation and the area of reinforcement in the transformed section must comply with the resulting area transformation. The proof also shows the equivalence in rectangular hollow sections, provided that similar transformation-related conditions are met.
Related References:
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