Chapter 8, Problem 8.5P

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9th Edition

Braja M. Das + 1 other

ISBN: 9781305970939

Textbook Problem

Refer to Problem 8.4. Using the flow net drawn, calculate the hydraulic uplift force at the base of the hydraulic structure per meter length (measured along the axis of the structure).

**8.24** For the hydraulic structure shown in Figure 8.24, draw a flow net for flow through the permeable layer and calculate the seepage loss in m^{3}/day/m.

To determine

Find the hydraulic uplift force at the base of the hydraulic structure per meter length.

Explanation

Given information:

The hydraulic conductivity of the permeable soil layer *k* is

The head difference between the upstream and downstream *H* is 10 m.

The height of the water level

The depth of permeable layer up to the tip of the hydraulic structure *D* is 1.67 m.

The depth of permeable layer

Calculation:

Draw the free body diagram of the flow net for the given values as in Figure 1.

Determine the head loss for each drop using the relation.

Here,

Refer Figure 1.

The number of potential drop

Substitute 10 m for *H* and 12 for

Determine the pressure head at *D* using the relation.

Here, flow dis is the flow net distance.

Substitute 10 m for *H*, 3.34 m for

Determine the pressure head at *E* using the relation.

Substitute 10 m for *H*, 3.34 m for

Determine the pressure head at *F* using the relation.

Substitute 10 m for *H*, 1.67 m for *D*, 3.5 m for flow dis, and 0.833 for

Determine the pressure head at *G* using the relation.

Substitute 10 m for *H*, 1.67 m for *D*, 8.5 m for flow dis, and 0.833 for

Determine the pressure head at *H* using the relation.

Substitute 10 m for *H*, 3.34 m for

Determine the pressure head at *I* using the relation.

Substitute 10 m for *H*, 3.34 m for

Determine the hydraulic uplift force at the base of the hydraulic structure per meter length using the relation

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