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Principles of Geotechnical Enginee...

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

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Section
BuyFindarrow_forward

Principles of Geotechnical Enginee...

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

Refer to Figure 15.52. Using Michalowski’s solution given in Figure 15.25 (ϕ' > 0), determine the critical height of the slope for the following conditions.

  1. a. n' = 1.5, ϕ' = 15°, c' = 1075 lb/ft2, and γ = 121 lb/ft3
  2. b. n' = !, ϕ' = 21°, c' = 43 kN/m2, and γ = 18 kN/m3

images

(a)

To determine

Find the critical height Hcr of the slope using Michalowski’s solution.

Explanation

Given information:

The stability coefficient n is 1.5.

The angle of friction ϕ is 15°.

The cohesion c is 1,075lb/ft2.

The unit weight γ of the soil is 121lb/ft3.

Calculation:

Determine the inclination angle β using the formula.

β=tan1(1n)

Substitute 1.5 for n.

β=tan1(11.5)=33.69°

Determine the value of Fstanϕ.

Take the value of factor of safety as 1.0 for critical height.

Substitute 1.0 for Fs and 15° for ϕ.

Fstanϕ=1.0tan15°=3.73

Refer Figure (15.25) “Michalowski’s analysis for stability of simple slopes” in the text book

(b)

To determine

Find the critical height Hcr of the slope using Michalowski’s solution.

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