### Determine the depth of the channel

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##### Reference no: EM132147112

Practical Investigation Part 1 -

An irrigation engineer is designing a profile for a channel to pass through a farm that is in a shape of a square of side length 25 KM as shown in Fig 1. The proposed profile follows the following equation:

y = A sin(x) + B cos(x) + C ln(x) + Dx + E

1. By selecting ideal reference points from the graph determine the values of the arbitrary constants A, B, C, D & E.

2. The turning points for the profile represents the locations where the pumps need to be installed to distribute the water to the other parts of the farm. Determine the location of the pumping stations to the nearest 0.1 m.

3. Determine the length of the channel.

Practical Investigation Part 2 -

The channel has a cross-section in a form of a parabola. The maximum width of the channel at the existing ground level as shown in Figure 2 is W metres.

4. Determine the depth of the channel below the existing ground level if the minimum cross section area of the channel (below ground level) is A m2 and hence determine the channel x-section profile equation.

5. The excavated earth is used for the embankments alongside the channel. The cross section of the embankments as shown in Figure 2 is in the form of a symmetrical trapezium. The sides of the trapezium are tangential to the excavated channel at the ground level. The width of the top of the trapezium is t metres. Determine the height of the trapezium.

6. The maximum safe flow capacity of the channel is when the channel is full up to 0.7 of the full height of the channel. Determine the maximum safe area for the safe flow.

7. To reduce the scouring of the channel and the water seepage, it is suggested to use a lining material to the full height of the channel. If the lining material costs around \$40.00 per square metre, determine the cost of lining per metre length of the channel.

8. If the cost of excavation is \$12 per cubic metre, the cost of constructing the embankment is \$15.00 per cubic metre and the cost of the lining material is \$40.00 per square metre, suggest an alternative profile for the channel x-section with less cost. The only constraints are the overall width of the channel should not be more than W+4 metres and the minimum cross sectional area for the water flow is A SQM.

Note - Presentation of the Report - the report should be presented clearly as for a minor project: Introduction/ Conclusions/ Headings/subheadings/ diagrams/ graphs/ tables/ correct labelling etc".

Verified Expert

The project is about the irrigation channel design. The channel is having a parabolic view and the bed is of trapezoidal type. Various design steps are used to calculate the height of the channel and also the trapezium. Here the channel is of lining type. The lining cost for the entire channel is also calculated in the design example.

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### Reviews

#### inf2147112

11/28/2018 2:42:32 AM

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11/23/2018 1:24:27 AM

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#### len2147112

10/22/2018 4:48:30 AM

Presentation of the Report – the report should be presented clearly as for a minor project: Introduction/ Conclusions/ Headings/subheadings/ diagrams/ graphs/ tables/ correct labelling etc". This point should be done like you did before. This assessment task contributes 30 percent towards the final mark in this subject. Instructions: It is very important that you read these instructions. The due date for this Assignment is Monday . The Assignment report should be submitted on Moodle by the due date. You must also submit all evidence files eg spreadsheet files, pdf files, screenshots etc.

#### len2147112

10/22/2018 4:48:24 AM

The hardcopy of the Assignment report, with the Assignment cover sheet, should be submitted to the Assignment box on the same day (or no later than Friday This is strictly an individual assignment. Question 1 requires selecting reference points from the graph. Each student will choose different reference points to other students. For Questions 4-8 each student will be given particular values to use. Take note of the criteria for the marking of the assessment tasks.

#### len2147112

10/22/2018 4:48:16 AM

These criteria include: Accuracy of Calculations – being aware of accuracy required and applying accurately and consistently. Problem solving - evidence of problem solving is shown and methods and assumptions are clearly explained. Use of Technology – this needs to be used appropriately and evidence clearly given. Quality of Analysis and Conclusions – results of calculations are to be analysed and conclusions drawn. Presentation of the Report – the report should be presented clearly as for a minor project: Introduction/ Conclusions/ Headings/subheadings/ diagrams/ graphs/ tables/ correct labelling etc.

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