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Published in:
2020 | OriginalPaper | Chapter
Probability of Failure of a Beam Subjected to Randomly Moving Loads
Authors : Alben Jose Kezhiyur, S. Talukdar, Anjaly J. Pillai
Published in: Advances in Fluid Mechanics and Solid Mechanics
Publisher: Springer Singapore
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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.