Calculate the discharge for a flow depth of 0.85 m in a trapezoidal open channel with bottom width 1 m and side slopes of 1 vertical: 2 horizontals. The bed slope is 0.5 m/ 100 m and Manning's n value is 0.035. The flow from part (a) enters a 1.2 m diameter stormwater sewer laid at the same grade as the bed of the open channel, for which the pipe-flow chart, Appendix 2 applies. Use Appendix 3 to obtain the depth of uniform flow in the sewer and its mean velocity. Show all workings and calculations.

Structural Analysis
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Chapter2: Loads On Structures
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Calculate the discharge for a flow depth of 0.85 m in a trapezoidal open
channel with bottom width 1 m and side slopes of 1 vertical: 2 horizontals. The
bed slope is 0.5 m/ 100 m and Manning's n value is 0.035.
The flow from part (a) enters a 1.2 m diameter stormwater sewer laid at the same
grade as the bed of the open channel, for which the pipe-flow chart, Appendix 2
applies.
Use Appendix 3 to obtain the depth of uniform flow in the sewer and its mean
velocity. Show all workings and calculations.
Transcribed Image Text:Calculate the discharge for a flow depth of 0.85 m in a trapezoidal open channel with bottom width 1 m and side slopes of 1 vertical: 2 horizontals. The bed slope is 0.5 m/ 100 m and Manning's n value is 0.035. The flow from part (a) enters a 1.2 m diameter stormwater sewer laid at the same grade as the bed of the open channel, for which the pipe-flow chart, Appendix 2 applies. Use Appendix 3 to obtain the depth of uniform flow in the sewer and its mean velocity. Show all workings and calculations.
Appendix 3: Partial or Hydraulic Elements graph.
Relative depth of flow
1.0
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0
0
Discharge
Hydraulic radius.
Velocity
Area
0.1
0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3
Hydraulic elements in terms of hydraulic elements for full section:
A, and R
R full
Yfull full A full
Appendix 2: The pipe flow/Wallingford graph.
Velocity V (m/s)
18
16
14
12
1-0
09
08
0-7
0-6
0-5
04
0:3
0:2
0-18
0-14
0-12
0-10
0-09
0:00
0:07
0.06
Discharge Q (I/s) for pipes flowing full
00
Diameter D (m)
± 22
03
20
600
0²
0.03
0-02
0-01
0.008
Water at 15°C
0.0008
0.0004
0-0003
00002
Hydraulic gradient 100S (m/100m)
Transcribed Image Text:Appendix 3: Partial or Hydraulic Elements graph. Relative depth of flow 1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 0 Discharge Hydraulic radius. Velocity Area 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 Hydraulic elements in terms of hydraulic elements for full section: A, and R R full Yfull full A full Appendix 2: The pipe flow/Wallingford graph. Velocity V (m/s) 18 16 14 12 1-0 09 08 0-7 0-6 0-5 04 0:3 0:2 0-18 0-14 0-12 0-10 0-09 0:00 0:07 0.06 Discharge Q (I/s) for pipes flowing full 00 Diameter D (m) ± 22 03 20 600 0² 0.03 0-02 0-01 0.008 Water at 15°C 0.0008 0.0004 0-0003 00002 Hydraulic gradient 100S (m/100m)
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