Chapter 15, Problem 15.31P

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9th Edition

Braja M. Das + 1 other

ISBN: 9781305970939

Textbook Problem

Refer to the slope in Problem 15.30. Using Spencer’s method (Figure 15.36), determine:

**a.**The location of the center of the critical circle**b.**The length of the radius of the critical circle

**15.30** The following parameters are given for a slope with steady-state seepage. Slope angle: 2H: l V, *ϕ*′ = 24°, *c*′ = 42 kN/m^{2}, γ = 19.3 kN/m^{3}, *H* = 14 m, and *r _{u}* = 0.5. Determine the factor of safety,

(a)

To determine

Find the location of the center of the critical circle.

Explanation

**Given information:**

The inclination of the slope is

The height (*H*) is 14 m.

The unit weight

To soil friction angle

The cohesion

The non-dimensional quantity

**Calculation:**

Determine the inclination angle using the formula.

Substitute 1 for *y* and 1 for *x*.

Determine the value of

Substitute *H*,

(b)

To determine

Find the length of the radius of the critical circle.

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