Stochastic Modeling Of Crackwidth In Reinforced Concrete Beams Subjected To Fatigue Loading
IR@SERC: CSIR-Structural Engineering Research Centre, Chennai
View Archive Info| Field | Value | |
| Title |
Stochastic Modeling Of Crackwidth In Reinforced Concrete Beams Subjected To Fatigue Loading
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| Creator |
Balaji Rao, K.
Appa Rao, T.V.S.R. |
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| Subject |
Reinforced concrete
Beams Fatigue Cracking Stochastic process Markov chain; Probability distribution |
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| Description |
Cracking is one of the serviceability limit states to be considered in the design of reinforced concrete members subjected to fatigue loading. Due to variations in material properties and cross-sectional dimensions, the evolution ofcrackwidth with applied load cycles should be treated as a stochastic process. In this paper a nonhomogeneous Markov chain (NHMC) model is proposed to model the evolution ofmaximum crackwidth with applied load cycles. Formulations for calculating the elements oftransition probability matrix and unconditional probability vector at any applied load cycle have been presented. Assuming that the maximum crackwidth at any stage ofloading cycle and at any two successive loading cycles can be described by truncated univariate and bi-variate normal distributions, respectively, the unconditional probability vectors have been computed, at different applied load cycles, for four beams subjected constant amplitude fatigue loading, and whose test results are available in the literature. By comparing the estimated state with the experimentally observed state at different applied load cycles, it is inferred that (1) it is important to consider the correlation between the maximum crackwidths between two successive applied load cycles (especially at lower applied load cycles); and (2) NHMC model shows promise for modelling fatigue cracking in reinforced concrete beams.
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| Date |
2009
2009 2004 |
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| Type |
Journal article
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| Identifier |
Engineering Structures, Vol.26, 2004, p.659–667
http://hdl.handle.net/123456789/54 |
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| Language |
en
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| Rights |
It is tried to respect the rights of the copyright holders to the best of the knowledge. If it is brought to our notice that the rights are violated then the item would be withdrawn.
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| Publisher |
Elsevier
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