Chapter 11, Problem 11.8P

BuyFind*arrow_forward*

9th Edition

Braja M. Das + 1 other

ISBN: 9781305970939

Textbook Problem

Redo Problem 11.7 using the weighted average method [Eq. (11.76)] to late the stress increase in the clay layer.

**11.7** Figure 11.46 shows a foundation with dimensions *B* × *L* supporting a column load, *P.* The foundation rests on a sandy soil underlain by a clay layer. Estimate the primary consolidation settlement of the clay due to the foundation load. Given: *P* = 350 kN, *B = L =* 2.5 m, *D _{f} =* 2 m,

Sand: γ* _{d} =* 16.4 kN/m

Clay: γ_{sat} = 17.6 kN/m^{3}; *e*_{0} = 0.82; *LL* = 48; normally consolidated

(Use

To determine

Calculate the primary consolidation settlement of the clay due to the foundation load.

Explanation

**Given information:**

The foundation load

The length of the foundation

The breadth of the foundation

The depth of foundation

The height of the clay layer 1

The height of the clay layer 2

The dry unit weight of sand

The saturated unit weight of sand

The saturated unit weight of clay

The void ratio

The liquid limit

**Calculation:**

Consider the unit weight of water

Calculate the distributed load

Substitute *P*, *B*, and *L*.

Calculate the increase in vertical stress

Here,

For the depth

Calculate the width

Substitute *B*.

Calculate the ratio

Substitute *L* and *B*.

Calculate the ratio

Substitute *b* and *z*.

Similarly calculate the remaining values and tabulate as in Table 1.

Refer Table 10.11 “Variation of

Take the value of

Similarly calculate the remaining values and tabulate as in Table 1.

Calculate the increase in vertical stress

Substitute

Similarly calculate the increase in vertical stress values and tabulate as in Table 1.

Show the increase in vertical stress for each depth below the center of the loaded area as in Table 1.

Depth, | |||||

1 | 1.25 | 1 | 0.8 | 0.8 | 44.8 |

1 | 1.25 | 3.25 | 2.6 | 0.2418 | 13.54 |

1 | 1.25 | 5.5 | 4.4 | 0.0936 | 5.24 |

Table 1

Refer to table 1.

Calculate the stress increase in the clay layer

Fundamentals of Geotechnical Engineering (MindTap Course List)

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

Fundamentals of Information Systems

Database Systems: Design, Implementation, & Management

Precision Machining Technology (MindTap Course List)

Automotive Technology: A Systems Approach (MindTap Course List)

Fundamentals of Information Systems

Cornerstones of Financial Accounting

Mechanics of Materials (MindTap Course List)

Principles of Information Systems (MindTap Course List)

A Guide to SQL

Principles of Information Security (MindTap Course List)

Database Systems: Design, Implementation, & Management

Solid Waste Engineering

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

Electric Motor Control

Management Of Information Security

EBK ELECTRICAL WIRING RESIDENTIAL

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

Fundamentals of Chemical Engineering Thermodynamics (MindTap Course List)

Steel Design (Activate Learning with these NEW titles from Engineering!)

Automotive Technology

Structural Analysis

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

Network+ Guide to Networks (MindTap Course List)

Welding: Principles and Applications (MindTap Course List)