BuyFind

Principles of Geotechnical Enginee...

9th Edition
Braja M. Das + 1 other
Publisher: Cengage Learning
ISBN: 9781305970939
BuyFind

Principles of Geotechnical Enginee...

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

Solutions

Chapter
Section
Chapter 15, Problem 15.1P
Textbook Problem

Refer to the infinite slope shown in Figure 15.46. Given: β = 19°, γ = 20 kN/m3, ϕ = 33 ° , and c′ = 47 kN/m2. Find the height, H, such that a factor of safety, Fs, of 3.1 is maintained against sliding along the soil-rock interface.

Chapter 15, Problem 15.1P, Refer to the infinite slope shown in Figure 15.46. Given:  = 19,  = 20 kN/m3, =33, and c = 47 kN/m2.

Figure 15.46

Expert Solution
To determine

Find the height (H) of the soil-rock interface.

Answer to Problem 15.1P

The height of the soil-rock interface is 6.28m_.

Explanation of Solution

Given information:

The slope rise at an angle β with the horizontal line is 19°.

The unit weight γ of the soil is 20kN/m3.

The angle of friction ϕ is 33°.

The cohesion c is 47kN/m2.

The factor of safety Fs is 3.1.

Calculation:

Determine the height of the soil-rock interface using the formula.

Fs=cγHcos2βtanβ+tanϕtanβ

Substitute 3.1 for Fs, 47kN/m2 for c, 20kN/m3 for γ, 19° for β, and 33° for ϕ.

3.1=4720Hcos2(19°)tan(19°)+tan(33°)tan(19°)3.1=7.634H+1.8863.1=7.634+1.886HH3.1H=7.634+1.886H

3.1H1.886H=7.6341.214H=7.634H=7.6341.214H=6.28m

Thus, the height of the soil-rock interface is 6.28m_.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Get Solutions

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Get Solutions

Chapter 15 Solutions

Principles of Geotechnical Engineering (MindTap Course List)
Show all chapter solutions

Additional Engineering Textbook Solutions

Find more solutions based on key concepts
Show solutions
Investigate the typical power consumption range of the following products: a. home refrigerator b. 25-inch tele...

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

What is metadata?

Database Systems: Design, Implementation, & Management

What steps might you be able to take if you are unsuccessful with your attempts to remove online information th...

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

What can a welder do to control overheating of the metal pieces being welded?

Welding: Principles and Applications (MindTap Course List)

If your motherboard supports ECC DDR3 memory, can you substitute non-ECC DDR3 memory?

A+ Guide to Hardware (Standalone Book) (MindTap Course List)