Answered: The initial effective stresses on a…

Principles of Geotechnical Engineering (MindTap Course List)

9th Edition

ISBN:9781305970939

Author:Braja M. Das, Khaled Sobhan

Publisher:Braja M. Das, Khaled Sobhan

Chapter11: Compressibility Of Soil

Section: Chapter Questions

Problem 11.15P

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Question

The initial effective stresses on a saturated soil element at a certain depth in a soil mass
are σ1 = 40 kPa, σ2 = 20 kPa, and σ3 = 20 kPa. The groundwater level is well below
the soil element. The changes in stresses on the soil element are shown in Fig. 1.

(a) Calculate the change in principal stresses.
(b) Plot the total stress path in (p, q) space, and the effective stress path (assuming that the
soil is a linearly elastic material).
(c) The soil is measured with a strength of 30 in shear, if only the vertical load is
increasing, try to predict the maximum of the vertical loading before its failure (with
an aid of Mohr-Circle), and to identify the failure direction.

The initial effective stresses on a saturated soil element at a certain depth in a soil mass
are o'i = 40 kPa, o'2 = 20 kPa, and o'z = 20 kPa. The groundwater level is well below
the soil element. The changes in stresses on the soil element are shown in Fig. 1.
100 kPa
20 kPa
-50 kPa
О КРа
0 kPa
20 kPa
Fig.1
(a) Calculate the change in principal stresses.
(b) Plot the total stress path in (p, q) space, and the effective stress path (assuming that the
soil is a linearly elastic material).
(c) The soil is measured with a strength of 30° in shear, if only the vertical load is
increasing, try to predict the maximum of the vertical loading before its failure (with
an aid of Mohr-Circle), and to identify the failure direction.

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