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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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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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.
Transcribed Image Text: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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