4. A 60 mi² drainage area has the following characteristics: longest flow path length of 10 mi, flow path length from outlet to centroid of 3.2 mi, overland slope of 0.05, curve number of 82, basin coefficient of 1.35, and storage coefficient of 0.6. Derive a 1-hr: a. i. Snyder UH ii. SCS triangular UH. b. Plot the resulting hydrographs (together on one plot) and comment on the differences in peak discharge, peak timing, hydrograph shape, and volume between the two.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Problem 4: Hydrograph Derivation and Comparison**

A 60 mi² drainage area exhibits the following characteristics: 

- Longest flow path length of 10 miles
- Flow path length from outlet to centroid of 3.2 miles
- Overland slope of 0.05
- Curve number of 82
- Basin coefficient of 1.35
- Storage coefficient of 0.6

**Tasks:**

a. **Derive a 1-hour Unit Hydrograph (UH):**

   i. **Snyder UH**  
   
   ii. **SCS Triangular UH**  

b. **Plot the Resulting Hydrographs:**

Combine both hydrographs on a single plot. Evaluate and comment on the differences in key characteristics such as:

- Peak discharge
- Peak timing
- Hydrograph shape
- Volume

Discuss these differences to understand how each method reflects the drainage area characteristics.
Transcribed Image Text:**Problem 4: Hydrograph Derivation and Comparison** A 60 mi² drainage area exhibits the following characteristics: - Longest flow path length of 10 miles - Flow path length from outlet to centroid of 3.2 miles - Overland slope of 0.05 - Curve number of 82 - Basin coefficient of 1.35 - Storage coefficient of 0.6 **Tasks:** a. **Derive a 1-hour Unit Hydrograph (UH):** i. **Snyder UH** ii. **SCS Triangular UH** b. **Plot the Resulting Hydrographs:** Combine both hydrographs on a single plot. Evaluate and comment on the differences in key characteristics such as: - Peak discharge - Peak timing - Hydrograph shape - Volume Discuss these differences to understand how each method reflects the drainage area characteristics.
Expert Solution
Step 1: Given data:

Drainage space area space straight A equals 60 space mi squared
longest space flow space path space straight L equals straight L subscript straight w equals 10 space mi
length space of space the space flow space path space from space outlet space to space centroid space straight L subscript ca equals 3.2 space mi
overland space slope space straight S subscript straight w equals 0.05
curve space number space left parenthesis CN right parenthesis equals 82
basin space coefficient space straight C subscript straight t equals 1.35
storage space coefficient space straight C subscript straight p equals 0.6
straight D space equals space 1 space hr

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