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Principles of Geotechnical Enginee...

9th Edition
Braja M. Das + 1 other
ISBN: 9781305970939

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BuyFindarrow_forward

Principles of Geotechnical Enginee...

9th Edition
Braja M. Das + 1 other
ISBN: 9781305970939
Textbook Problem

Determine the factor of safety against heave on the downstream side of the single-row sheet pile structure shown in Figure 9.30. Use the following soil and design parameters: H1 = 7 m, H2 = 3 m, thickness of permeable layer (T) = 12 m, design depth of penetration of sheet pile (D) = 4.5 m, and γsat = 17 kN/m3.

images

Figure 9.30

To determine

Find the factor of safety against heave on the downstream side of the single-row pile sheet structure.

Explanation

Given information:

The water depth in the left side H1 is 7.0 m.

The water depth in the right side H2 is 3.0 m.

The thickness (T) of the permeable layer is 12 m.

The design depth (D) of penetration of sheet pile is 4.5 m.

The saturated unit weight γsat of the soil is 17kN/m3.

Calculation:

Calculate the factor of against heave on the downstream side of the single-row pile sheet structure using the relation.

Factorofsafety=DγCoγw(H1H2) (1)

Here, γ is the submerged unit weight of the soil and Co is the ratio of design depth of penetration of sheet pile to the thickness of the permeable layer.

Determine the submerged unit weight of the soil using the relation.

γ=γsatγwater

Here, γwater is the specific weight of the water.

Take the specific weight of the water as 9.81kN/m3.

Substitute 17kN/m3 for γsat and 9.81kN/m3 for γwater.

γ=179.81=7.19kN/m3

Find the ratio of design depth of penetration of sheet pile to the thickness of the permeable layer.

DT=4.512=0.375

Refer Table (9.1) “Variation of Co with D/T” in the text book.

Take the value of x1 as 0.3.

Take the value of x3 as 0

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