BuyFindarrow_forward

Principles of Geotechnical Enginee...

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

Solutions

Chapter
Section
BuyFindarrow_forward

Principles of Geotechnical Enginee...

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

For the same line loads given in Problem 10.8, determine the vertical stress increase, Δσz, at a point located 4 m below the line load, q2.

Refer to Figure 10.41. Determine the vertical stress increase, Δσz, at point A with the following values: q1 = 110 kN/m, q2 = 440 kN/m, x1 = 6 m, x2 = 3 m, and z = 4 m.

images

Figure 10.41

To determine

Calculate the vertical stress increase (Δσz) at point A.

Explanation

Given information:

The line load (q1) is 110kN/m.

The line load (q2) is 440kN/m.

The horizontal distance between two line loads (x1) is 6m.

The horizontal distance between line load q2 to point A (x2) is 0.

The depth of the stress from ground surface (z) is 4m.

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 110kN/m for q1, 4m for z, 6m for x1, and 0 for x2.

Δσz(1)=2×110×43π[(6+0)2+42]2=14,080π×2,704=1.657kN/m2

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

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

16.28 Problem 16.28

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

What is a business rule, and what is its purpose in data modeling?

Database Systems: Design, Implementation, & Management

What is middleware?

Principles of Information Systems (MindTap Course List)

What is meant by sequential firing of fuel injectors?

Automotive Technology: A Systems Approach (MindTap Course List)

What code is used to cancel automatic cutter radius compensation?

Precision Machining Technology (MindTap Course List)

Describe client/server architecture, including fat and thin clients, client/server biers, and middleware.

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

Select a rectangular (not square) HSS for the conditions of Problem 4.6-4. a. Use LRFD. b. Use ASD.

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

EAPoL is primarily used with what kind of transmission?

Network+ Guide to Networks (MindTap Course List)

Explain issues surrounding the use of BANs.

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

What can happen if the fillet weld on a lap joint does not have a smooth transition?

Welding: Principles and Applications (MindTap Course List)