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<br />FOREWORD <br /> <br />This volume is part of the l2-volume report entitled "Hydrologic <br />tngineering Nethods for vlater Resources Development," prepared by The <br />Hydrologic Engineering Center {HECl as a part of the U.S. Army Corps <br />of tngineers participation in the International Hydrological Decade. <br />Volume 6 relates the lnathematical equations for flow in natural <br />channels to the physical process. The most common method for solving <br />these basic equations, the standard step method, is developed for <br />complex cross sections using techniques which are suitable for both <br />hand and computer calculations. One of the objectives of this volume <br />is to delineate the degree of simplification that is appropriate for <br />analysis of water surface profiles in natural channels. The procedures <br />a.re illustrated by solving an example problem by manual computations; <br />however, the more common practice in the Corps of Engineers is to uti- <br />lize electronic computers to calculate water surface profiles. Pro- <br />grams for this purpose are readily available. <br />The volume was written by William A. Thomas. Editing and review <br />cOllments and many helpful suggestions were furnished by Bill S. Eichert, <br />John C. Peters, Vernon R. Uonner, Allan K. Oto, A.J. Fredrich, and <br />Edwa rd Hawk i ns. <br /> <br />.{. <br />