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<br />HYDRAULIC DESIGN OF BRIDGES WITH RISK ANALYSIS <br /> <br />By Verne R. Schneider and Kenneth V. Wilson <br /> <br />INTRODUCTION <br /> <br />The hydraulic design of bridges involves an evaluation of the <br />flood hazard to the highway and the effect of the proposed <br />highway on the hazard to lives, property, and stream stability. <br />In specific terms, this evaluation results in the selection of the <br />size 'and location of bridges, culverts, and other drainage structures <br />and the determination of the embankment fill height. This hydraulic <br />design previously included a flood of a specific frequency where the <br />flood frequency was selected for types of roads depending upon their <br />importance. structures were designed to safely pass this specific <br />flood, and various safety factors such as embankment freeboard were <br />added to protect the structure and ensure the free passage of traffic <br />under all but the most severe flooding conditions. The effect of <br />the proposed highway on the flood hazard to lives, property, and <br />stream stability were considered using various criteria. Attempts <br />were made to limit inundation of the roadway embankment, to limit <br />embankment erosion and scour, to minimize the backwater caused by <br />the embankment fill, and to minimize the disturbance to the <br />natural stream. <br /> <br />The stream crossing design analysis used in this report is based on <br />the premise that the total stream crossing, including the approach <br />fills in the flood plains and all necessary waterway openings, should <br />be designed and constructed for the least total expected cost to the <br />public. The total expected cost to the public during the service life <br />of the highway includes the capital investment in the highway, expected <br />replacement and repair costs as a result of flood dpmages, expected user <br />costs from traffic interruptions and detours, and expected backwater <br />damages. Economic and engineering analyses of alternative designs <br />provide information for selecting a design of least total cost to the <br />public or an optimum crossing design. <br /> <br />Briefly, an optimization procedure involves assessing all expected <br />costs during the life of a facility, including capital costs, using a <br />common time frame such as present worth of future expenditure and <br />capital expenditures or annual cost of capital investment and expected <br />future annual expenditures, and choosing the alternative which costs the <br />least. Thus, the least total cost facility is the optimum solution and <br />makes the most effective use of public monies. To illustrate, in figure 1, <br /> <br />1 <br />