Principles of Geotechnical Enginee...

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



Principles of Geotechnical Enginee...

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

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 for a slope using Spencer’s chart.


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.


Determine the inclination angle using the formula.


Substitute 1 for y and 1 for x.


Determine the value of cFsγH

Consider the factor of safety Fs value as 1.50.

Substitute 42kN/m2 for c, 1.50 for Fs, 19.3kN/m3 for γ, and 14 m for H.


Similarly, calculate and tabulate the value of cFsγH by taking the factor of safety value as 1.6, 1.7, and 1.8 as in Table (1).

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


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

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

Additional Engineering Solutions

Find more solutions based on key concepts

Show solutions add

Assuming an average 35% efficiency for power plants and a heating value of approximately 1000 Btu/ft3 (22,000 B...

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

What are three safety rules to observe when using screwdrivers?

Precision Machining Technology (MindTap Course List)

The resultant of the force system shown is a 50-lbft counterclockwise couple. Find P, Q, and C.

International Edition---engineering Mechanics: Statics, 4th Edition

The term _____ refers to removing unwanted areas of a photo. (182) a. crop b. snip c. compress d. shrink

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

What is hot work?

Welding: Principles and Applications (MindTap Course List)