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<br />~ <br />~ <br />~ <br />~ <br />~ <br /> <br />. <br />. <br />. <br /> <br />II. DESIGN CONSIDERATIONS <br /> <br />A. Hvdrol02v. <br /> <br />t <br />~ <br /> <br />. <br />~ <br />. <br />f <br /> <br />1. General. Hydrologic analysis in- <br />volves the estimation of a design flow rate <br />based on climatological and watershed <br />characteristics. This analysis is one <br />of the most important aspects of culvert <br />design. Since statistical uncertainties <br />are inherent in hydrologic analysis, the <br />results of the analysis are not as accurate <br />as the results of the hydraulic analysis <br />of a culvert. Nonetheless, both of these <br />analyses are required, and the hydrologic <br />study must be performed first. FHWA <br />Hydraulic Engineering Circular (HEC) <br />Number 19, Hvdrol02v. is an excellent <br />reference for gaining information and <br />insight into most of the hydrologic methods <br />mentioned in this publication. (11) <br /> <br />l <br />~ <br />t <br />~ <br />. <br />t <br />~ <br />~ <br />~. <br />l <br /> <br />A statistical concept often associated <br />with hydrologic analysis is the return <br />period, The term return period is used <br />when refcrring to the frequency of occur- <br />rence of rare events such as floods. <br />Mathematically, the return period is the <br />reciprocal of frequency. For example, <br />the flood which has a 5 percent chance <br />of occurring (frequency) in any given <br />year also has a return period of 20 years; <br />i.e., 1/0,05 = 20 years. In other words, <br />this flood event will be exceeded on the <br />a verage of once every 20 years over a <br />long period of time, Hence, the 20 year <br />flood event is likely to be exceeded <br />five times during a 100-year period, <br />These events will be randomly spaced <br />over the 100 years. <br /> <br />~ <br />J <br />r <br /> <br />Large and expensive culvert <br />installations may warrant extensive hydro- <br />logic analysis. This increased level of <br />effort may be necessary in order to per- <br />form risk analysis and/or storage routing <br />calculations, Risk analysis requires <br />the computation of flows for several <br />different return periods, Storage routing <br />calculations require the definition of <br />the entire flood event or hydrograph, <br /> <br />Considerable study of the use of risk <br />analysis in culvert design has occurred <br />over the past 10 to 20 years. Risk anal- <br />ysis balances the culvert cost with the <br />damages associated with inadequate culvert <br />performance. These studies have been <br />fruitful in relating culvert design to <br />economic theory and in defining the mo- <br />netary consequences of both over-design <br />and under-design. The limitations of <br />culvert design based solely on arbitrary <br />return periods have been duly exposed in <br />the process. <br /> <br />Storage routing is the attenuation of <br />the flood flow due to the storage volume <br />upstream of the culvert. Risk analysis <br />studies often include storage routing as <br />an integral part of the culvert sizing <br />process. Consideration of storage routing <br />in these studies often reduces the design <br />culvert size, Hence, storage routing <br />has been included as an optional part of <br />the design procedure presented in this <br />manual. <br /> <br />2. Peak Design Flow. As a flood wave <br />passes a point along a stream, the flow <br />increases to a maximum and then recedes. <br />The maximum flow rate is called the peak <br />flow. The peak flow has been, and con- <br />tinues to be, a major factor in the cul- <br />vert design process, <br /> <br />In traditional culvert design, a struc- <br />ture is sized to pass a peak flow from <br />one side of the roadway embankment to <br />the OthOE with an acceptable headwater <br />elevation. The magnitude of the peak <br />flow is dependent upon the selection of <br />a return period. The assignment of a <br />return period is generally based on the <br />importance of the roadway and flood damage <br />poten tial. <br /> <br />For gaged sites, statistical analyses <br />can be performed on the recorded stream <br />flow to provide an estimated peak design <br />flow for a given return period. The <br /> <br />13 <br />