The initial principal stresses at a certain depth in a clay soil are 200 kPa on the horizontal plane and100 kPa on the vertical plane. Construction of a surface foundation induces additional stressesconsisting of a vertical stress of 45 kPa, a lateral (horizontal) stress of 20 kPa, and acounterclockwise (with respect to the horizontal plane) shear stress of 40 kPa.Plot Mohr's circle (1) for the initial state of the soil and (2) after construction of the foundation.Determine (a) the change in magnitude of the principal stress, (b) the change in maximum shearstress, and (c) the change in orientation of the principal stress plane resulting from the construction ofthe foundation.

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The initial principal stresses at a certa 100 kPa on the vertical plane. Con consisting of a vertical stress of counterclockwise (with respect to the Plot Mohr's circle (1) for the initial Determine (a) the change in magnitu stress, and (c) the change in orientatio the foundation.

The initial principal stresses at a certa 100 kPa on the vertical plane. Con consisting of a vertical stress of counterclockwise (with respect to the Plot Mohr's circle (1) for the initial Determine (a) the change in magnitu stress, and (c) the change in orientatio the foundation.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Methods to Determine Vertical Stress

The load applied to the soil is transferred to the underground. The presence of water at soil pores and solid grains above the soil are the primary components that are responsible for the effective load transfer. Due to the load acting, the internal component of the soil or the underground formations undergoes deformations or a tectonic shift. The amount of deformation depends upon the amount of load acting on the soil surface, which indeed, depends on the weight of everything present above the soil. Due to this, the underground soil element develops internal stresses which try to resist the tectonic changes.

Question

The initial principal stresses at a certain depth in a clay soil are 200 kPa on the horizontal plane and
100 kPa on the vertical plane. Construction of a surface foundation induces additional stresses
consisting of a vertical stress of 45 kPa, a lateral (horizontal) stress of 20 kPa, and a
counterclockwise (with respect to the horizontal plane) shear stress of 40 kPa.
Plot Mohr's circle (1) for the initial state of the soil and (2) after construction of the foundation.
Determine (a) the change in magnitude of the principal stress, (b) the change in maximum shear
stress, and (c) the change in orientation of the principal stress plane resulting from the construction of
the foundation.

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