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Hydraulic Design of Highway Culverts - DOT On-Line Publications

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English Units<br />

INLET CONTROL:<br />

AD<br />

0.<br />

5<br />

Q / AD<br />

= ( 487.<br />

5)(<br />

20)<br />

0.<br />

5<br />

5,<br />

500<br />

= =<br />

2,<br />

180<br />

0.<br />

5<br />

=<br />

2.<br />

52<br />

2,<br />

180<br />

Based on Chart 51b, HW/D = 0.90, therefore:<br />

HW = HWf<br />

= ( 0.<br />

90)(<br />

20)<br />

= 18 ft<br />

= 220 + 18 = 238.<br />

0 ft<br />

EL hi<br />

For the check flow:<br />

Q / AD<br />

0 . 5<br />

=<br />

3.<br />

44<br />

Based on Chart 51b, HW/D = 1.13, therefore:<br />

HW = HWf<br />

= ( 1.<br />

13)(<br />

20)<br />

= 22.<br />

6 ft<br />

= 220 + 22.<br />

6 = 242.<br />

6 ft<br />

EL hi<br />

OUTLET CONTROL:<br />

Backwater calculations will be necessary to check Outlet Control.<br />

Backwater Calculations<br />

From hydraulic tables for elliptical conduits (60):<br />

for Q = 5,500 ft³/s, dc = 12.4 ft<br />

for Q = 7,500 ft³/s, dc = 14.6 ft<br />

Since TW > dc, start backwater calculations at TW depth.<br />

Determine normal depths (dn) using hydraulic tables.<br />

for Q = 5,500 ft³/s, n = 0.034 ;<br />

dn = 13.1 ft<br />

for Q = 7,500 ft³/s, n = 0.034 ;<br />

dn = 16.7 ft<br />

since dn > dc, flow is subcritical<br />

since TW > dn, water surface has an M-1 pr<strong>of</strong>ile<br />

Plot Area and <strong>Hydraulic</strong> Radius vs. depth from data obtained from tables.<br />

75

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