Samples from sandstone were collected from two different depths (80m and 200m) and triaxialshearing tests were performed to estimate the shear strength parameters. From each depth, twodifferent specimens were tests at distinct isotropic confining pressures and from theexperiments the deviatoric stress at failure was assessed. The results from these experimentsare summarized in Table 1.1.Table 1.1 – Results of triaxial shearing tests at failure for the sandstone samplescollected from different depths (Question 1)SpecimenNo.q (MPa) at failureCollectionоз (MPa)depth (m)1800.6003.3252801.8008.17932000.6005.31042001.80011.103(a)Determine the angle of shear strength and cohesion of the sandstone for each of the twodifferent depths using the Mohr-Coulomb (linear) failure criterion based on total stressprinciple.(b)During the triaxial test measurements, local strain gauges were attached to the specimensfor high quality measurements to be performed. It was revealed that for the sandstonecollected from a depth of 80 m and tested at 0.6 MPa of isotropic confining pressure, ata volumetric strain of 3.0x10-l%, the material was still in the linear-elastic range ofbehavior. If for the given conditions, the specimen has a true Young's modulus of 0.286GPa, a Poisson's ratio of 0.28 and is assumed to be an isotropic material, determine thedeviatoric stress which corresponds to the said volumetric strain of 3.0x10-l%.Note: Present step-by-step your calculations and summarize your results in the form of table(s)when necessary.

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Determine the angle of shear strength and cohesion of the sandstone for each of the two (a) different depths using the Mohr-Coulomb (1linear) failure criterion based on total stress principle.

Structural Analysis

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ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Sediment transport

Sediment transport or Soil transport is the movement of solid particles, usually due to the combination of gravitational forces acting on the sediment, and the movement of the liquid at which the sediment enters. Soil erosion occurs in natural systems where the particles are sandstones (sand, rocks), mud, or clay; the liquid is air, water, or ice; and the gravitational force that works to move particles to the landing surface. Sediment transportation or soil migration due to the movement of liquids occurs in rivers, lakes, lakes, oceans, and other bodies of water as a result of currents and waves. Transportation is also caused by glaciers as they flow, and to places on earth under the influence of wind. Soil erosion due to gravity alone is possible in most sloping areas, including hills, scarves, cliffs, and the continental shelf — the continental boundary of the slope.

Question

Samples from sandstone were collected from two different depths (80m and 200m) and triaxial
shearing tests were performed to estimate the shear strength parameters. From each depth, two
different specimens were tests at distinct isotropic confining pressures and from the
experiments the deviatoric stress at failure was assessed. The results from these experiments
are summarized in Table 1.1.
Table 1.1 – Results of triaxial shearing tests at failure for the sandstone samples
collected from different depths (Question 1)
Specimen
No.
q (MPa) at failure
Collection
оз (MPa)
depth (m)
1
80
0.600
3.325
2
80
1.800
8.179
3
200
0.600
5.310
4
200
1.800
11.103
(a)
Determine the angle of shear strength and cohesion of the sandstone for each of the two
different depths using the Mohr-Coulomb (linear) failure criterion based on total stress
principle.
(b)
During the triaxial test measurements, local strain gauges were attached to the specimens
for high quality measurements to be performed. It was revealed that for the sandstone
collected from a depth of 80 m and tested at 0.6 MPa of isotropic confining pressure, at
a volumetric strain of 3.0x10-l%, the material was still in the linear-elastic range of
behavior. If for the given conditions, the specimen has a true Young's modulus of 0.286
GPa, a Poisson's ratio of 0.28 and is assumed to be an isotropic material, determine the
deviatoric stress which corresponds to the said volumetric strain of 3.0x10-l%.
Note: Present step-by-step your calculations and summarize your results in the form of table(s)
when necessary.

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