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Water 2018, 10(11), 1520; https://doi.org/10.3390/w10111520

A Theoretically Derived Probability Distribution of Scour

1
Department of European and Mediterranean Cultures, University of Basilicata, 75100 Matera, Italy
2
Department of Civil Engineering, Universidad de Concepción, Concepción 4030000, Chile
*
Author to whom correspondence should be addressed.
Received: 11 September 2018 / Revised: 20 October 2018 / Accepted: 21 October 2018 / Published: 26 October 2018
(This article belongs to the Section Hydraulics)
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Abstract

Based on recent contributions regarding the treatment of unsteady hydraulic conditions in the state-of-the-art scour literature, theoretically derived probability distribution of bridge scour is introduced. The model has been derived assuming a rectangular hydrograph shape with a given duration, and a random flood peak, following a Gumbel distribution. A model extension for a more complex flood event has also been presented, assuming a synthetic exponential hydrograph shape. The mathematical formulation can be extended to any flood-peak probability distribution. The aim of the paper is to move forward the current approaches adopted for the bridge design, by coupling hydrological, hydraulic, and erosional models, in a mathematical closed form. An example of the application of the proposed distribution has been included with the aim to provide a guidance for the parameters estimation. View Full-Text
Keywords: scour; bridges; piers; Theoretically Derived Distribution of Scour (TDDS) scour; bridges; piers; Theoretically Derived Distribution of Scour (TDDS)
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Manfreda, S.; Link, O.; Pizarro, A. A Theoretically Derived Probability Distribution of Scour. Water 2018, 10, 1520.

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