Study on the P-Delta effect using elastic non-linear analysis

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Study on the P-Delta effect using elastic non-linear analysis


Author: Yip, Pui-yin Daniel
Title: Study on the P-Delta effect using elastic non-linear analysis
Degree: M.Sc.
Year: 1999
Subject: Reinforced concrete construction
Columns, Concrete
Structural analysis (Engineering)
Hong Kong Polytechnic University -- Dissertations
Department: Multi-disciplinary Studies
Dept. of Civil and Structural Engineering
Pages: 64, [129] leaves : ill. ; 31 cm
Language: English
InnoPac Record:
Abstract: This dissertation report summaries the findings of the study on the P-Delta (P-Δ) effects to the structural analysis of column elements in reinforced concrete structures. In the current design practice of reinforced concrete columns, the internal forces of the column elements are determined by first order elastic analysis and then the forces are modified in accordance with relevant requirements of design codes to account for secondary effects. While the criteria is established on the ultimate and also the serviceability limit state requirements, the structural interaction is not clearly identified. With the advent of computer analysis tool, the secondary effects with emphasis on P-Δ effect in reinforced concrete structures can be computed in an effective way. It may be viable to use the direct analytical results from the P-Δ analysis for design purpose. Through the study of the P-Δ analysis, both efficiency and structural economy may be obtained. In the present dissertation report, a P-Δ analysis procedure with the aid of a computer software is proposed. The study is concentrating on the design of reinforced concrete columns. Furthermore, comparative studies on the analytical results are also carried out to estimate the degree of consistency. The analytical results from the proposed procedure can act as a tool to probe into the P-Δ effect on structural behaviour of reinforced concrete structures. Furthermore, the analytical results with focus on column elements would be used for contrasting with those obtained by various widely used design codes such as the ACI Building Code and the British Code. Through this study, the design rules in various design codes may be reviewed and compared with one another. As concrete is subjected to cracking and long term effects, those effects on the flexural stiffness would be studied and compared. In order to assist structural engineers to design beam column frames without the use of sophisticated computer program, a simple analysis procedure is presented which only requires the use of computer program with P-Δ capability. The proposed P-Δ analysis procedure is also used in the parametric studies, and it is found that the proposed analysis procedure is successful to produce accurate results when compared with non-linear elastic computer program for the selected structures. The conservatism of the column end moments is acceptable with gross over-estimation. As iteration is not necessary, less computational effort is required and thus, the entire analysis process is much reduced in time. With respect to column design of the selected structures, the proposed P-Δ analysis always produced less column design moments than that of the national codes. The proposed analysis procedure is consequently shown to be an effective tool to predict column moments for unbraced beam-column frames of reinforced concrete construction without pre-determined support conditions. The predicted column end moments are always conservative without gross over-estimation and thus, over provision in construction will be mimimised. In addition, no sophisticated computer program is required and no extensive computational resource is needed.

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