   Chapter 15, Problem 15.32P Principles of Geotechnical Enginee...

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

Solutions

Chapter
Section Principles of Geotechnical Enginee...

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

Refer to the slope in Problem 15.30. Determine the factor of safety, Fs, using Michalowski’s solution (Figure 15.41)15.30 The following parameters are given for a slope with steady-state seepage. Slope angle: 2H: l V,  ϕ′ = 24°, c′ = 42 kN/m2,  γ = 19.3 kN/m3, H = 14 m, and ru = 0.5. Determine the factor of safety, Fs, using Spencer’s solution (Figure 15.35).

To determine

Find the factor of safety Fs using Michalowski’s solution.

Explanation

Given information:

The inclination of the slope is 2H:1V.

The height (H) is 14 m.

The unit weight γ is 19.3kN/m3.

To soil friction angle ϕ is 24°.

The cohesion c value is 42kN/m2.

The non-dimensional quantity ru is 0.5.

Calculation:

Determine the inclination angle using the formula.

β=tan1(yx)

Substitute 1 for y and 1 for x.

β=tan1(12)=26.56°

Determine the value of cγHtanϕ

Substitute 42kN/m2 for c, 19.3kN/m3 for γ, 14 m for H, and 24° for ϕ.

cγHtanϕ=4219

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts 