Preprint Brief Report Version 1 This version is not peer-reviewed

A Theoretically Derived Probability Distribution of Scour

Version 1 : Received: 11 September 2018 / Approved: 12 September 2018 / Online: 12 September 2018 (01:33:42 CEST)

A peer-reviewed article of this Preprint also exists.

Manfreda, S.; Link, O.; Pizarro, A. A Theoretically Derived Probability Distribution of Scour. Water 2018, 10, 1520. Manfreda, S.; Link, O.; Pizarro, A. A Theoretically Derived Probability Distribution of Scour. Water 2018, 10, 1520.

Journal reference: Water 2018, 10, 1520
DOI: 10.3390/w10111520

Abstract

Based on recent contributions regarding the treatment of unsteady hydraulic conditions into the state-of-the-art of scour literature, the theoretically derived probability distribution of bridge scour is introduced. The model is derived assuming a rectangular hydrograph shape with a given duration, and random flood peak following a Gumbel distribution. A model extension for a more complex flood event is also presented, assuming a synthetic exponential hydrograph shape. The mathematical formulation can be extended to any flood-peak probability distribution. The aim of the manuscript is to move forward the current approaches adopted for the bridge design coupling hydrological, hydraulic, and erosional models in a mathematical closed form.

Subject Areas

Scour; Bridges; Piers; Theoretically Derived Distribution (TDD)

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