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<br />PREPARATION OF INPUT DATA FOR AUTOMATIC <br />COMPUTATION OF STAGE-DISCHARGE RELATIONS AT CULVERT~ <br /> <br />By Howard F. Matthai, Harold E. Stull, and Jacob Davidian <br /> <br />ABSTRACT <br /> <br />Detailed instructions are given on the <br />preparation of input data for automatic com- <br />putation of stage-discharge relations at cul- <br />verts. The program follows standardized <br />methods of computing headwater elevations, <br />given discharges, tail water elevations, and <br />the geometries of the approach cross section <br />and the culvert. The basic energy equations <br />are programed for solutions for single- <br />barreled circular pipes, riveted or multi- <br />plate pipe-arches, and rectangular box cul- <br />verts with or without webs. <br /> <br />A full stage- discharge relationship can be <br />developed for the range of discharges and <br />tailwater elevations selected. A computation <br />option that is independent of culvert dis- <br />charge can be used to obtain section proper- <br />ties either of a defined channel cross section, <br />or of both' the approach cross section and of <br />the culvert barrel. One example demon- <br />strates the technique. <br /> <br />INTRODUCTION <br /> <br />For convenience in computation, culvert <br />flow has been classified into six types on the <br />hasis of the location of the control section <br />and the relative heights of the headwater and <br />tailwater elevations. The six types of flow <br />are illustrated in figure 1. The procedures <br />given by Bodhaine (1968) for computation of <br />peak discharge at culverts have been adapted <br />by R. W. Carter and W. P. Somers to com- <br />pute headwater elevations at the approach <br />section for given discharges and tailwater <br />elevations. The output of the program is a <br />headwater elevation for each selected dis- <br />charge for ali automatically determined <br />types of flow. A stage- discharge rel,ation- <br />ship, or rating. can be plotted and tabulated <br />from the output. A family of. curves is nec- <br />essary for type 3 flow where tailwater ele- <br />vation partially controls the headwater <br /> <br />elevation, and a differential head-discharge <br />relation is u sed for type 4 flow. <br /> <br />The procedures are applicable to most <br />sites where a culvert is used as a metering <br />device. Peak discharges and runoff during <br />floods are determined frequently at culverts <br />where crest-stage gages or water-stage re- <br />corders are installed. The full rating for <br />the site can be obtained from a judicious <br />selection of discharges and tail water ele- <br />vation's. The peak discharge of an actual <br />flood is determined by applying the elevation <br />of high-water marks. preferably near the <br />approach section. to the computed stage- <br />discharge relation. If the gage is not at the <br />approach section, the relation between the <br />computed headwater elevation and the re- <br />corded stage must be established. <br /> <br />The prog~am may be used to compute <br />cross- section properties without regard to <br />the flow in the culvert provided there are no <br />more than four subareas. <br /> <br />The computation techniques and detailed <br />instructions for the preparation of input data <br />are explained in this manual. <br /> <br />This manual is designed for use with pro- <br />gram number A526. and data-preparation <br />form 9-1695, Stage- Discharge Relations at <br />Culverts. The manual, program number. <br />and da~a-preparation form displace, respec- <br />tively, their counterparts of an older program <br />used heretofore: <br /> <br />Somers, W. P., and Selner, G. I., 1965, <br />Computation of stage-discharge relation- <br />ships at culverts: Surface Water Tech- <br />niques. hook 1, chap. R, If. S. CeoI. <br />Survey report.. <br /> <br />Program number: ^~31 (al:-;o known a:<; <br />M0044). <br />