1. In a series of triaxial compression tests on a sandstone, the following repre- sent the stresses at peak load conditions: Test σ(MPa) 1.0 5.0 9.5 15.0 σ₁ (MPa) 9.2 28.0 48.7 74.0 Determine values of S, and that best fit the data.
1. In a series of triaxial compression tests on a sandstone, the following repre- sent the stresses at peak load conditions: Test σ(MPa) 1.0 5.0 9.5 15.0 σ₁ (MPa) 9.2 28.0 48.7 74.0 Determine values of S, and that best fit the data.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
Rock mechanics
Transcribed Image Text:1. In a series of triaxial compression tests on a sandstone, the following repre-
sent the stresses at peak load conditions:
Test
1
2
3
σ3 (MPa)
1.0
5.0
9.5
15.0
σ(MPa)
9.2
28.0
48.7
74.0
Determine values of S, and that best fit the data.
2. The initial state of stress at a point in the ground, in sandstone of Problem 1,
is
σ3 = 1300 psi
σ₁ = 5000 psi
The pore water pressure (p.) will be raised by the construction of a
reservoir. What value of p. will cause fracture of the sandstone in situ
(assume fracture occurs at peak stress).
3. For the rock of Problems 1 and 2, what is the value of the principal stress
ratio (03/0₁) above which "failure" cannot occur?
4. In a plane wave front, the pressures in the plane of the wave front are
v/(1-v) times the pressure normal to the wave front. What is the least
value of Poisson's ratio (v) such that compressive or shear failure does not
occur as the wave front sweeps through the rock? (See Problem 3.)
Transcribed Image Text:1=0.1086
9.2
5
28
= 0.1786
9.5
48.7
15
74
= 0.1931
= 0.2027
1300
5000
= 0.26
The principal ratiol
occurs will be the minumum value
at
from the test 1,2,3,4,5 s
41
0(3) failure can't
ण
03=0.1086
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