HY8:Polynomial Coefficients

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For circular, box, elliptical, and pipe arch culverts, polynomial coefficients, found in Tables 1-4, are utilized in the inlet control headwater computations. Tables 5-10 show the HW/D points A(1) through A(10) for interpolation. Each row of coefficients represents different entrance conditions for different culvert shapes.


Table 1. Polynomial Coefficients - Circular

HY8Poly Table 1.JPG

EQ #'s: REFERENCE

1-9 : Calculator Design Series (CDS) 3 for TI-59, FHWA, 198O, page 60

1-10: Hydraulic Computer Program (HY) 1, FHWA, 1969, page 18



Table 2. Polynomial Coefficients - Box

HY8Poly Table 2.JPG

EQ #'s: REFERENCE

1-6: Hydraulic Computer Program (HY) 6, FHWA, 1969, subroutine BEQUA

1,4,5: Hydraulic Computer Program (HY) 3, FHWA, 1969, page 16

1,3,4,6: Calculator Design Series (CDS) 3 for TI-59, FHWA, 198O, page 16



Table 3. Polynomial Coefficients - Ellipse

HY8Poly Table 3.JPG

EQ #'s: REFERENCE

27-30: Calculator Design Series (CDS) 4 for TI-59, FHWA, 1982, page 20

31-33: Calculator Design Series (CDS) 4 for TI-59, FHWA, 1982, page 22



Table 4. Polynomial Coefficients - Pipe Arch

HY8Polynomial PipeArch.JPG

EQ #'s: REFERENCE

12-23: Calculator Design Series (CDS) 4 for TI-59, FHWA, 1982, page 17

24-26: Calculator Design Series (CDS) 4 for TI-59, FHWA, 1982, page 24

12,16,20: Hydraulic Computer Program (HY) 2, FHWA, 1969, page 17


Table 5. Arch HW/D Values.


HY8Arch Table.JPG


Table 6. High Profile Arch HW/D Values.


HY8Arch High Profile.JPG


Table 7. Low Profile Arch HW/D Values.


HY8Arch Low Profile Table.JPG


Table 8. Metal Box HW/D Values.


File:HY8Metal Box.JPG


Table 9. User Defined HW/D Values.


HY8User Defined Table.JPG


Table 10. Polynomial Coefficients - Concrete Open-Bottom Arch

Span:Rise Ratio Wingwall Angle (Inlet Edge Condition) KE SR A B C D E F Notes
2:1

0 Degrees (Mitered to Conform to Slope)

0.5

0.5

0.0356

0.5701

-0.162

0.0322

-0.0023

0.00006

2:1 Coefficients are used if the

span:rise ratio is less than or equal to 3:1.

2:1

45 Degrees (45-degree Wingwall)

0.3

0.5

0.0393

0.5828

-0.1518

0.0284

-0.002

0.00005

2:1

90 Degrees (Square Edge with Headwall)

0.4

0.5

0.0459

0.5762

-0.1436

0.0269

-0.0019

0.00005

4:1

0 Degrees (Mitered to Conform to Slope)

0.5

0.5

0.0309

0.5211

-0.1258

0.0207

-0.0013

0.00003

4:1 coefficients are used if the

span:rise ratio is greater than 3:1

4:1

45 Degrees (45-degree Wingwall)

0.3

0.5

0.0318

0.5446

-0.1467

0.0273

-0.0019

0.00005

4:1

90 Degrees (Square Edge with Headwall)

0.4

0.5

0.0283

0.5739

-0.1584

0.0292

-0.002

0.00005

References for Concrete Open-bottom Arch polynomial coefficients:

  • Thiele, Elizabeth A. Culvert Hydraulics: Comparison of Current Computer Models. (pp. 121-126), Brigham Young University Master's Thesis (2007).
  • Chase, Don. Hydraulic Characteristics of CON/SPAN Bridge Systems. Submitted Study and Report (1999)

Related Topics

Introduction

Analysis

Head Water Computations

Inlet Control
Outlet Control

Tables and Plots