Chapter 10, Problem 10.16P

### Principles of Geotechnical Enginee...

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

Chapter
Section

### Principles of Geotechnical Enginee...

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

# Refer to Figure 10.46. A flexible circular area of radius 6 m is uniformly loaded. Given: q = 565 kN/m2. Using Newmark’s chart, determine the increase in vertical stress, Δσz, at point A.Figure 10.46

To determine

Calculate the increase in vertical stress at point A by using Newmark’s chart.

Explanation

Given information:

The radius of the circular area (r) is 6m.

The pressure on the loaded area (q) is 565kN/m2.

The depth below the ground surface (z) is 6m.

Calculation:

Apply the procedure for obtaining vertical pressure at any point below the loaded area as follows:

• Find the depth z below the uniformly loaded area at which the increase in stress required.
• Sketch the plan of the loaded area with a scale of z equal to the unit length of the chart (AB¯).
• Place the plan on the influence chart in such a way that the point below which the stress is to be determined is located at the center of the chart.
• Count the number of elements (M) of the chart enclosed by the plan of the loaded area.

Calculate the increase in the pressure at the point using the relation.

Δσz=(IV)qM (1)

Here, IV is the influence value.

Apply the procedure for obtaining vertical pressure at point A as shown below.

Point A is located at a depth of 6m below the ground surface.

The plan of the circular area has been re-plotted to a scale of AB¯=6m and placed on the influence chart in such a way that point A on the plan falls directly over the center of the chart.

Sketch the influence chart as shown in Figure 1.

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