Question

It is desired to obtain information about the in situ strength properties, $c$ and $\phi$, for a saburated clay soil, and akso the preconsolidation pressure. Direet shear tests under consolidated-undrained conditions are performed on three identical samples of the clay. For sample one, the applied normal pressure is $30 \mathrm{kPa}$ and the sample fails when the shear stress is $19 \mathrm{kPa}$; for sample two, the applied normal stress is $70 \mathrm{kPa}$ and the sample shears at $28 \mathrm{kPa}$; for sample three, the applicd normal pressure is $120 \mathrm{kPa}$ and the simple shears at $45 \mathrm{kPa}$. From these data, estimate the values of the in situ cohesion $c$ and $\phi_{\mathrm{Cl}}$, and the preconsolidation stress $\sigma_{\mathrm{w}}$ -

   It is desired to obtain information about the in situ strength properties, $c$ and $\phi$, for a saburated clay soil, and akso the preconsolidation pressure. Direet shear tests under consolidated-undrained conditions are performed on three identical samples of the clay. For sample one, the applied normal pressure is $30 \mathrm{kPa}$ and the sample fails when the shear stress is $19 \mathrm{kPa}$; for sample two, the applied normal stress is $70 \mathrm{kPa}$ and the sample shears at $28 \mathrm{kPa}$; for sample three, the applicd normal pressure is $120 \mathrm{kPa}$ and the simple shears at $45 \mathrm{kPa}$. From these data, estimate the values of the in situ cohesion $c$ and $\phi_{\mathrm{Cl}}$, and the preconsolidation stress $\sigma_{\mathrm{w}}$ -
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Essentials of soil mechanics and foundations : basic geotechnics
Essentials of soil mechanics and foundations : basic geotechnics
David F. McCarthy 7th Edition
Chapter 11, Problem 28 ↓

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For sample 1: $\tau = 19 \mathrm{kPa}$ (shear stress) $\sigma_n = 30 \mathrm{kPa}$ (normal stress) For sample 2: $\tau = 28 \mathrm{kPa}$ (shear stress) $\sigma_n = 70 \mathrm{kPa}$ (normal stress) For sample 3: $\tau = 45 \mathrm{kPa}$ (shear  Show more…

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It is desired to obtain information about the in situ strength properties, $c$ and $\phi$, for a saburated clay soil, and akso the preconsolidation pressure. Direet shear tests under consolidated-undrained conditions are performed on three identical samples of the clay. For sample one, the applied normal pressure is $30 \mathrm{kPa}$ and the sample fails when the shear stress is $19 \mathrm{kPa}$; for sample two, the applied normal stress is $70 \mathrm{kPa}$ and the sample shears at $28 \mathrm{kPa}$; for sample three, the applicd normal pressure is $120 \mathrm{kPa}$ and the simple shears at $45 \mathrm{kPa}$. From these data, estimate the values of the in situ cohesion $c$ and $\phi_{\mathrm{Cl}}$, and the preconsolidation stress $\sigma_{\mathrm{w}}$ -
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Key Concepts

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Preconsolidation Stress
Preconsolidation stress is the maximum past effective vertical stress that a soil has sustained and is an indicator of its stress history. Determining this parameter is important because it influences the soil’s compressibility and future settlement behavior, and it can be estimated from shear tests by analyzing changes in the soil’s strength response.
Cohesion (c) and Friction Angle (?)
Cohesion is the inherent shear strength of a soil due to inter-particle bonding, while the friction angle represents the resistance to sliding along particle contacts under normal stress. Together, these parameters define the soil's shear strength through the Mohr-Coulomb failure equation and are crucial for designing and analyzing geotechnical structures.
Direct Shear Test
A direct shear test is a laboratory procedure used to determine the shear strength characteristics of a soil sample by applying a normal load and then inducing a shear force until failure occurs. The test provides data on how the soil will behave under shear stress and is a fundamental method for exploring soil strength properties.
Consolidated Undrained Conditions
Consolidated undrained testing involves allowing a soil sample to consolidate under a prescribed normal stress before shearing it rapidly so that little to no drainage occurs. This method simulates in situ conditions where the pore water pressure plays a significant role, making it essential for determining soil strength properties in saturated soils.
Mohr-Coulomb Failure Criterion
The Mohr-Coulomb failure criterion is a model used to describe the shear strength of soils, relating it to normal stress through the equation involving cohesion and the internal friction angle. This relationship forms a linear envelope in a stress space, and it is a key concept for interpreting experimental data and estimating soil strength parameters.

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4. An undisturbed specimen of soft clay is set up in the triaxial apparatus, and under a drained condition is subjected to in situ stresses ́σ′vo = 40 kPa and σ′ho = 24 kPa. The value of σ′p/σ′vo = 1.6 has been obtained from one-dimensional consolidation tests. (a) What factors determine the magnitude of volume change of the specimen on reapplication of the in situ stresses? After the specimen comes to equilibrium, the drainage lines are turned off and the cell pressure is increased by 100 kPa; and a porewater pressure of 100 kPa is measured after 1 min and then remains constant as a function of time. (b) What can you say about the degree of saturation of the specimen and system as well as about such factors as membrane and system leakage? Then, the axial stress is increased while keeping the cell pressure constant. An additional axial stress of 24 kPa is required to reach undrained failure at an axial strain of 1% at which the shear-induced porewater pressure is 20 kPa. Compute: (c) coefficient of earth pressure at rest, Ko, (d) undrained shear strength of this specimen for the triaxial compression mode of shear, su (TC), (e) undrained shear-strength ratio su (TC)/σ′p for the triaxial compression mode of shear.

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