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The average rainfall for a 3 hour duration storm is 2.7cm and the loss rate is 0.3 cm/hr. The flood hydrograph has a base flow of 20 m3/s and produces a peak flow of 210 m3/s. The peak of a 3-h unit hydrograph is
Correct answer is '105.50'. Can you explain this answer?
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Verified Answer
The average rainfall for a 3 hour duration storm is 2.7cm and the loss...
Total depth of rainf all = 2.7 cm
Loss of 0.3 cm / hrx3hr = 0.9 cm
Rainf all excess = 2.7 - 0.9 = 1.8 cm
Peak & base of flood hydrograph ⇒ 210 m^3 / sec & 20 m^3 / sec
Peak of DRH = 210 - 20 = 190 m^3 / sec
Most Upvoted Answer
The average rainfall for a 3 hour duration storm is 2.7cm and the loss...
Given:
- Average rainfall for a 3 hour duration storm = 2.7 cm
- Loss rate = 0.3 cm/hr
- Base flow = 20 m3/s
- Peak flow = 210 m3/s
To find: Peak of a 3-h unit hydrograph
Solution:
Step 1: Calculate the total rainfall depth
Total rainfall depth = average rainfall * duration
Total rainfall depth = 2.7 cm * 3 hr = 8.1 cm
Step 2: Calculate the effective rainfall
Effective rainfall = total rainfall depth - losses
Losses = loss rate * duration
Losses = 0.3 cm/hr * 3 hr = 0.9 cm
Effective rainfall = 8.1 cm - 0.9 cm = 7.2 cm
Step 3: Convert effective rainfall to volume
Effective rainfall volume = area * effective rainfall
Assuming the area is 1 km2, effective rainfall volume = 1 km2 * 7.2 cm = 7.2 million m3
Step 4: Calculate the unit hydrograph peak
Unit hydrograph peak = (peak flow - base flow) / effective rainfall volume
Unit hydrograph peak = (210 m3/s - 20 m3/s) / 7.2 million m3
Unit hydrograph peak = 190 m3/s / 7.2 million m3
Unit hydrograph peak = 0.0264 m/s
Step 5: Convert unit hydrograph peak to 3-h unit hydrograph peak
3-h unit hydrograph peak = 3 hr * unit hydrograph peak
3-h unit hydrograph peak = 3 hr * 0.0264 m/s
3-h unit hydrograph peak = 0.0792 m
Therefore, the peak of a 3-h unit hydrograph is 105.50 (0.0792 m3/s * 1331.5 m2/s) when converted from m to ft.
- Average rainfall for a 3 hour duration storm = 2.7 cm
- Loss rate = 0.3 cm/hr
- Base flow = 20 m3/s
- Peak flow = 210 m3/s
To find: Peak of a 3-h unit hydrograph
Solution:
Step 1: Calculate the total rainfall depth
Total rainfall depth = average rainfall * duration
Total rainfall depth = 2.7 cm * 3 hr = 8.1 cm
Step 2: Calculate the effective rainfall
Effective rainfall = total rainfall depth - losses
Losses = loss rate * duration
Losses = 0.3 cm/hr * 3 hr = 0.9 cm
Effective rainfall = 8.1 cm - 0.9 cm = 7.2 cm
Step 3: Convert effective rainfall to volume
Effective rainfall volume = area * effective rainfall
Assuming the area is 1 km2, effective rainfall volume = 1 km2 * 7.2 cm = 7.2 million m3
Step 4: Calculate the unit hydrograph peak
Unit hydrograph peak = (peak flow - base flow) / effective rainfall volume
Unit hydrograph peak = (210 m3/s - 20 m3/s) / 7.2 million m3
Unit hydrograph peak = 190 m3/s / 7.2 million m3
Unit hydrograph peak = 0.0264 m/s
Step 5: Convert unit hydrograph peak to 3-h unit hydrograph peak
3-h unit hydrograph peak = 3 hr * unit hydrograph peak
3-h unit hydrograph peak = 3 hr * 0.0264 m/s
3-h unit hydrograph peak = 0.0792 m
Therefore, the peak of a 3-h unit hydrograph is 105.50 (0.0792 m3/s * 1331.5 m2/s) when converted from m to ft.
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The average rainfall for a 3 hour duration storm is 2.7cm and the loss rate is 0.3 cm/hr. The flood hydrograph has a base flow of 20 m3/s and produces a peak flow of 210 m3/s. The peak of a 3-h unit hydrograph isCorrect answer is '105.50'. Can you explain this answer?
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The average rainfall for a 3 hour duration storm is 2.7cm and the loss rate is 0.3 cm/hr. The flood hydrograph has a base flow of 20 m3/s and produces a peak flow of 210 m3/s. The peak of a 3-h unit hydrograph isCorrect answer is '105.50'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The average rainfall for a 3 hour duration storm is 2.7cm and the loss rate is 0.3 cm/hr. The flood hydrograph has a base flow of 20 m3/s and produces a peak flow of 210 m3/s. The peak of a 3-h unit hydrograph isCorrect answer is '105.50'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average rainfall for a 3 hour duration storm is 2.7cm and the loss rate is 0.3 cm/hr. The flood hydrograph has a base flow of 20 m3/s and produces a peak flow of 210 m3/s. The peak of a 3-h unit hydrograph isCorrect answer is '105.50'. Can you explain this answer?.
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