Bonfring International Journal of Man Machine Interface
Online ISSN: 2277-5064 | Print ISSN: 2250-1061 | Frequency: 4 Issues/Year
Impact Factor: 0.325 | International Scientific Indexing(ISI) calculate based on International Citation Report(ICR)
Reliability Analysis of Flanged RC Beams in Limit State of Cracking
Abstract:
With a view to characterize randomness in the surface crack width of RC flanged beam, an attempt has been made to establish the probability distribution. IS 456-2000 demonstrates the concept of characteristic value for material strength and loads. But the same concept has not been extended to crack width of RC members, even though it is a well known fact that the crack width is a random variable. Since the cracking of a RC members is a highly random process and hence it is not possible to predict the crack width without associating such prediction with some probability of being exceeded. This necessitates the probability modeling of crack width. The concept of characteristic crack width can be formulated only after establishing the probability distribution the crack width follows. For example if the crack width follows a normal distribution then the characteristic crack width is given by, Wch = Wavg + 1.645 σ Where, σ is the standard deviation of crack width. This characteristic crack width has a probability of 5% of being exceeded. The statistical parameters of crack width like mean and standard deviation are required. In the above equation, a constant 1.645 holds good only for a normal distribution. A very large number of samples are needed for the purpose of computing the statistics of crack width. However to obtain such a large body of statistics a large scale experimentation is to be planned at an exorbitant cost. Digital simulation will solve this problem as it corresponds to artificial experimentation on a computer. IS 456-2000 has suggested an equation for computing the surface crack width. This equation identifies several basic parameters which influence the crack width. The statistics of these basic variables are taken from the literature. Monte Carlo simulation technique is adopted and sample values of the surface crack width for a beam of known dimensions are generated. The generated values are statistically analyzed and probabilistically modeled. Using the facility on MATLAB platform a suitable probability distribution is tried to describe the randomness in the generated data. Both singly reinforced and doubly reinforced T-Beams are considered for the study. Formulations are made for different location of neutral axis.
Keywords: Reliability Analysis, Flanged Beam, Monte-Carlo Simulation, Histogram, Probability Distribution Curve
Volume: 4 | Issue: Special Issue on Computer Aided Analysis and Design of Structures| Editors:Dr.D.K. Kulkarni, Dr.R.J. Fernandes, Dr.S.B. Kulkarni
Pages: 187-191
Issue Date: July , 2016
DOI: 10.9756/BIJMMI.8180
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