   Chapter 10, Problem 10.10P 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 Figure 10.41. Given: q2 = 3800 lb/ft, x1 = 18 ft, x2 = 8 ft, and z = 7 ft. If the vertical stress increase at point A due to the loading is 77 lb/ft2, determine the magnitude of q1. Figure 10.41

To determine

Calculate the magnitude of line load q1.

Explanation

Given information:

The line load (q2) is 3,800lb/ft.

The horizontal distance between two line loads (x1) is 18ft.

The horizontal distance between line load q2 to point A (x2) is 8ft.

The depth of the stress from ground surface (z) is 7ft.

The vertical stress increase at point A (Δσz) is 77lb/ft2.

Calculation:

Calculate the vertical stress increase at point A (Δσz(1)) due to line load q1 by using the principles of the theory of elasticity as follows.

Δσz(1)=2q1z3π[(x1+x2)2+z2]2

Substitute 7ft for z, 18ft for x1, and 8ft for x2.

Δσz(1)=2q1×73π[(18+8)2+72]2=686q1525,625π=4.15×104q1

Calculate the vertical stress increase at point A (Δσz(2)) due to line load q2 by using the principles of the theory of elasticity as follows.

Δσz(2)=2q2z3π[x22+z2]2

Substitute 3,800lb/ft for q1, 7ft for z, and 8ft for x2

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

What is physical independence?

Database Systems: Design, Implementation, & Management

What does HMIS stand for?

Precision Machining Technology (MindTap Course List)

Explain the differences between a Gantt chart and a PERT/CPM chart

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

Given that P=120lb and Q=130lb, find the rectangular representation of P+Q.

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

Why should you never change the current setting during a weld?

Welding: Principles and Applications (MindTap Course List)

Describe the components of an email address.

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