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A Numerical Model for Stability Analysis of Pre-cracked Beam-columns


Affiliations
1 Department of Civil Engineering University of Agriculture, PMB 2373, Makurdi, Benue State, Nigeria
2 Department of Mathematics and Computer Science, Benue State University Makurdi, Benue State, Nigeria
 

The proposed research paper reports results of the stability analysis of pre-cracked beam-columns. A stiffness reduction parameter due to pre-crack is first calculated, which is used in the equilibrium equations for buckling analysis. Stiffness and stability matrices are derived from the resulting equilibrium equations using the finite difference procedure. An object oriented code in java is developed based on the inverse power method for the extraction of the smallest eigen value corresponding to the critical load. The calculated parameter is then used to calculate the reduced buckling load due to pre-crack. Results obtained compare well with published results in the literature. It is concluded that the parameter k is a good indicator for monitoring stiffness degradation due to pre-crack and that java programming language which is mainly used for commercial and internet applications is a candidate tool for fracture mechanics computations.

Keywords

Pre-crack, Stability, Beam-column, Java Cod, Stiffness Reduction
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  • A Numerical Model for Stability Analysis of Pre-cracked Beam-columns

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Authors

Peter N. Jiki
Department of Civil Engineering University of Agriculture, PMB 2373, Makurdi, Benue State, Nigeria
Usman Karim
Department of Mathematics and Computer Science, Benue State University Makurdi, Benue State, Nigeria

Abstract


The proposed research paper reports results of the stability analysis of pre-cracked beam-columns. A stiffness reduction parameter due to pre-crack is first calculated, which is used in the equilibrium equations for buckling analysis. Stiffness and stability matrices are derived from the resulting equilibrium equations using the finite difference procedure. An object oriented code in java is developed based on the inverse power method for the extraction of the smallest eigen value corresponding to the critical load. The calculated parameter is then used to calculate the reduced buckling load due to pre-crack. Results obtained compare well with published results in the literature. It is concluded that the parameter k is a good indicator for monitoring stiffness degradation due to pre-crack and that java programming language which is mainly used for commercial and internet applications is a candidate tool for fracture mechanics computations.

Keywords


Pre-crack, Stability, Beam-column, Java Cod, Stiffness Reduction

References