### Problem Description3. **Flow Net Analysis**The flow net shown in the figure corresponds to the transformed geometry of a problem in which the actual permeabilities are \( k_h = 10^{-4} \, \text{m/s} \) and \( k_v = 10^{-5} \). From this flow net, estimate the following quantities:(a) The flow rate beneath the dam. (b) The maximum exit gradient. (c) The uplift force on the dam. (d) The pressure head at point A.**Solution:**(Answers: Based on the flow net: a) \( Q = 3.8 \times 10^{-5} \, \text{m}^3/\text{s/m} \); b) \( i_e = 0.09 \); c) \( U \approx 1500 \, \text{kN/m} \); d) \( h_A = 14.75 \, \text{m} \).)### Diagram ExplanationThe figure illustrates a flow net with a rectangular dam across a section of soil. Key features include:- **Dimensions**: - The dam is 8 meters wide at the top and 3 meters wide at the base. - The total vertical height shown in the flow net area is 15 meters.- **Flow Lines and Equipotential Lines**: - The curving lines are flow lines, which indicate the path that water would follow through the soil. - The intersecting lines at right angles to the flow lines are equipotential lines, which represent lines of constant hydraulic head.- **Point A and Elevation Markings**: - Point A is marked on the flow net, and its location is significant for calculating the pressure head. - Elevations are indicated along the depth, with markings at 2m, 4m, 6m, and 15m.The flow net analysis enables the estimation of key hydraulic properties related to the dam's stability and the water flow beneath it.

3. The flow net shown in the figure corresponds to the transformed geom- etry of a problem in which the actual permeabilities are kn = 10-4 m/s and kv = 10-5. From this flow net, estimate the following quantities: 15m (a) The flow rate beneath the dam. (b) The maximum exit gradient. (c) The uplift force on the dam. (d) The pressure head at point A. = (Ans: Based on the flow net: a) Q = 3.8 x 10-5 m³/s/m; b) ie c) U≈ 1500 kN/m; d) hд = 14.75m.) 8m 3m ↑ A 0.09; 믄 2m 2m 6m 4m

3. The flow net shown in the figure corresponds to the transformed geom- etry of a problem in which the actual permeabilities are kn = 10-4 m/s and kv = 10-5. From this flow net, estimate the following quantities: 15m (a) The flow rate beneath the dam. (b) The maximum exit gradient. (c) The uplift force on the dam. (d) The pressure head at point A. = (Ans: Based on the flow net: a) Q = 3.8 x 10-5 m³/s/m; b) ie c) U≈ 1500 kN/m; d) hд = 14.75m.) 8m 3m ↑ A 0.09; 믄 2m 2m 6m 4m

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Highway Drainage

Highway drainage is the process of extracting and regulating the excess surface water on the pavement by giving the desired slope. The construction of a highway drain helps to divert the water present on the surface, and sub-grade by the means of slope. Highway drainage systems are a necessary part of smooth functioning of traffic, since the highway drainage systems provide proper disposal of unwanted substances from the highways.

Question

### Problem Description

3. **Flow Net Analysis**

The flow net shown in the figure corresponds to the transformed geometry of a problem in which the actual permeabilities are \( k_h = 10^{-4} \, \text{m/s} \) and \( k_v = 10^{-5} \). From this flow net, estimate the following quantities:

(a) The flow rate beneath the dam.
(b) The maximum exit gradient.
(c) The uplift force on the dam.
(d) The pressure head at point A.

**Solution:**

(Answers: Based on the flow net:
a) \( Q = 3.8 \times 10^{-5} \, \text{m}^3/\text{s/m} \);
b) \( i_e = 0.09 \);
c) \( U \approx 1500 \, \text{kN/m} \);
d) \( h_A = 14.75 \, \text{m} \).)

### Diagram Explanation

The figure illustrates a flow net with a rectangular dam across a section of soil. Key features include:

- **Dimensions**:
- The dam is 8 meters wide at the top and 3 meters wide at the base.
- The total vertical height shown in the flow net area is 15 meters.

- **Flow Lines and Equipotential Lines**:
- The curving lines are flow lines, which indicate the path that water would follow through the soil.
- The intersecting lines at right angles to the flow lines are equipotential lines, which represent lines of constant hydraulic head.

- **Point A and Elevation Markings**:
- Point A is marked on the flow net, and its location is significant for calculating the pressure head.
- Elevations are indicated along the depth, with markings at 2m, 4m, 6m, and 15m.

The flow net analysis enables the estimation of key hydraulic properties related to the dam's stability and the water flow beneath it.

Expert Solution

Step 1

Data given

k_h = 10^-4 m/s

k_v = 10^-5 m/s

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