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Technical Report Documentation Page<br />

1. Report No.:<br />

2. Government Accession No.: 3. Recipient’s Catalog No.:<br />

FHWA/TX–08/0–6070–1<br />

4. Title <strong>and</strong> Subtitle:<br />

<strong>Use</strong> <strong>of</strong> the <strong>Rational</strong> <strong>and</strong> <strong>Modified</strong> <strong>Rational</strong> <strong>Method</strong> <strong>for</strong> Hydraulic Design<br />

5. Report Date:<br />

February 28, 2011<br />

6. Per<strong>for</strong>ming Organization Code:<br />

7. Author(s):<br />

Theodore G. Clevel<strong>and</strong>, David B. Thompson, <strong>and</strong> Xing Fang<br />

9. Per<strong>for</strong>ming Organization Name <strong>and</strong> Address:<br />

Texas Tech University<br />

College <strong>of</strong> Engineering<br />

Box 41023<br />

Lubbock, Texas 79409-1023<br />

12. Sponsoring Agency Name <strong>and</strong> Address<br />

Texas Department <strong>of</strong> Transportation<br />

Research <strong>and</strong> Technology Implementation Office<br />

P. O. Box 5080<br />

Austin, TX 78763-5080<br />

8. Per<strong>for</strong>ming Organization<br />

Report No. 0–6070–1<br />

10. Work Unit No. (TRAIS):<br />

11. Contract or Grant No. :<br />

Project 0–6070<br />

13. Type <strong>of</strong> Report <strong>and</strong> Period<br />

Cover:<br />

Technical Report: September 2007–<br />

August 2010<br />

14. Sponsoring Agency Code:<br />

15. Supplementary Notes:<br />

This study was conducted in cooperation with the Texas Department <strong>of</strong> Transportation <strong>and</strong> the Federal Highway<br />

Administration.<br />

16. Abstract:<br />

This report examines the rational <strong>and</strong> modified rational methods using rainfall-run<strong>of</strong>f datasets developed from<br />

Texas watersheds <strong>for</strong> application to Texas Department <strong>of</strong> Transportation hydraulic design problems.<br />

A unified rational method <strong>for</strong> Texas (URAT) is proposed as an alternative to the conventional method in current<br />

use. URAT substitutes l<strong>and</strong>-use specification, slope influence, <strong>and</strong> probability adjustments to run<strong>of</strong>f coefficients by<br />

a simple area-weighted coefficient based on functional impervious cover. URAT incorporates the effect <strong>of</strong> slope<br />

<strong>and</strong> probability adjustments in the specification <strong>of</strong> the watershed time <strong>of</strong> equivalence, a characteristic time that<br />

makes rational peak discharges <strong>and</strong> regression equation peak discharges equal at some specified recurrence interval.<br />

An extended application (example) is presented to illustrate how to use the URAT method <strong>for</strong> both peak discharge<br />

<strong>and</strong> hydrograph estimation. Several appendices document various approaches examined, <strong>and</strong> provide an extensive<br />

examination into the run<strong>of</strong>f coefficient.<br />

17. Key Words<br />

Hydrology, hydraulics, rational method, modified<br />

rational method<br />

19. Security Classif. (<strong>of</strong> this report)<br />

Unclassified<br />

Form DOT F 1700.7 (8-72)<br />

20. Security Classif. (<strong>of</strong> this page)<br />

Unclassified<br />

18. Distribution Statement<br />

No restrictions. Document available to public<br />

through National Technical In<strong>for</strong>mation Service,<br />

Springfield, VA 22161, www.ntis.gov<br />

21. No. Pages<br />

157<br />

22. Price

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