Probabilistic Analysis of Cracking Moment of RC T-Beam Bridge Girder

  • A. RanjithEmail author
  • K. Balaji Rao
  • A. Tanvi Rai
  • Thripthi
  • K. Manjunath
Conference paper
Part of the Lecture Notes in Civil Engineering book series (LNCE, volume 46)


Cracking of reinforced concrete flexural members is a highly random phenomenon. The evaluation of cracking resistance of a reinforced concrete structural element is important from a view point of its performance in limit state of serviceability i.e., in cracking. Deterministic analysis of cracking moment for all the beams is carried out. Probabilistic analysis of cracking from different cross sections of RC T-beam bridge girders is performed. For this purpose, different cross sections of RC T-beam bridge girders designed according to MORTH for seven spans namely 10, 12, 14, 16, 18, 21 and 24 m are considered. Probability of cracking of each cross sections of beam is determined using relative frequency approach within the framework of Monte Carlo Simulation. With respect to the distribution of basic variables considered in this study, cracking moment of RC T-beam is found to follow lognormal distribution. The probability of failure against cracking is found to be very high. Cracking moment is found to be independent of load combinations adopted in the study. The present article can be used as a reference for examining the beams for limit state of cracking.


Reinforced concrete Cracking Cracking moment T beam girder Basic variables 


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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • A. Ranjith
    • 1
    Email author
  • K. Balaji Rao
    • 2
  • A. Tanvi Rai
    • 1
  • Thripthi
    • 1
  • K. Manjunath
    • 3
  1. 1.Department of Civil EngineeringN.M.A.M Institute of Technology, (Visvesvaraya Technological University, Belagavi)Nitte, Udupi DistrictIndia
  2. 2.Risk and Reliability GroupCSIR-Structural Engineering Research CentreChennaiIndia
  3. 3.Department of Civil EngineeringMalnad College of Engineering, (Visvesvaraya Technological University, Belagavi)HassanIndia

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