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Probability of Failure of a Beam Subjected to Randomly Moving Loads

  • Alben Jose Kezhiyur
  • S. TalukdarEmail author
  • Anjaly J. Pillai
Conference paper
  • 18 Downloads
Part of the Lecture Notes in Mechanical Engineering book series (LNME)

Abstract

In the present paper, an analytical approach to study the deflection and dynamic stresses in a simply supported beam when traversed by randomly moving loads at a uniform speed whose inter-arrival time follows Poisson distribution has been developed. The magnitude of payloads has been assumed to follow a uniform distribution. Initially, the expression for deflection and dynamic stresses in a simply supported beam traversed by a constant force is developed by application of Fourier sine integral transformation followed by the method of Laplace–Carson integral transformation and further followed by Inverse Fourier transformation. The analytical expressions are found to obtain the deflection due to a set of loads which follow the Poisson distribution. The inter-arrival time between the payload is an important factor for the probability of failure as revealed from the analysis. The probability of failure increases when the interval of arrival time is decreased.

Keywords

Moving load Inter-arrival time Probability of failure Poisson distribution 

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Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  • Alben Jose Kezhiyur
    • 1
  • S. Talukdar
    • 1
    Email author
  • Anjaly J. Pillai
    • 1
  1. 1.Department of Civil EngineeringIndian Institute of TechnologyGuwahatiIndia

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