   Chapter 15, Problem 15.29P 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

Use Spencer’s chart (Figure 15.35) to determine the value of Fs for a slope with the following characteristics: H = 25 m, β = 30°, γ = 17 kN/m3, ϕ' = 20°, c' = 27 kN/m2, and ru = 0.25.

To determine

Find the factor of safety Fs for a slope using Spencer’s chart.

Explanation

Given information:

The height (H) is 25 m.

The inclination angle β is 30°.

The unit weight γ is 17kN/m3.

To soil friction angle ϕ is 20°.

The cohesion c value is 27kN/m2.

The non-dimensional quantity ru is 0.25.

Calculation:

Determine the value of cFsγH

Consider the factor of safety Fs value as 1.20.

Substitute 27kN/m2 for c, 1.20 for Fs, 17kN/m3 for γ, and 25 m for H.

cFsγH=271.20(17)(25)=0.0529

Similarly, calculate and tabulate the value of cFsγH by taking the factor of safety value as 1.1, 1.0, and 0.90 as in Table (1).

Determine the factor of safety Fs(calculated) for a slope using Spencer’s chart.

Fs(calculated)=tanϕtanϕd

Here, ϕd angle of friction that develops along the potential failure surface.

Refer Figure (15.35) “Spencer’s solution plot of cFsγH versus β” in the text book

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

Determine the base area of an electric steam iron.

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

What is the kernel of the operating system?

Principles of Information Systems (MindTap Course List)

What five strategies for controlling risk are described in this chapter?

Principles of Information Security (MindTap Course List)

Describe the habits of successful interface designers.

Systems Analysis and Design (Shelly Cashman Series) (MindTap Course List)

Convert 5 megawatts of power into BTU/hr, ft-lbs/s, and kJ/hr.

Fundamentals of Chemical Engineering Thermodynamics (MindTap Course List)

What tasks can you accomplish using mapping apps? (187)

Enhanced Discovering Computers 2017 (Shelly Cashman Series) (MindTap Course List) 