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).
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).
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Exercises at the end of the third chapter of Goodman's book Introduction to Rock Mechanics
(Please answer question two, thank you)
![=>
and,
=>
45+
S
÷
from
89 (i
48.7 = 9.5 x 4.6 +2x S x √4.6
= tan √4.6
40]
=
taking Aug. value of S and o.
1.03785 +1.1656
S;
= 1·1656
2
40.4754 + 40
2
= 1.101725 MPa
Ane
46.2377 MPa
Ans](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8745b554-e61b-42b2-bb7a-6e5716b8c815%2F8f021f7e-cb23-46da-bc53-6446c648a7a3%2Fcibsr4s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:=>
and,
=>
45+
S
÷
from
89 (i
48.7 = 9.5 x 4.6 +2x S x √4.6
= tan √4.6
40]
=
taking Aug. value of S and o.
1.03785 +1.1656
S;
= 1·1656
2
40.4754 + 40
2
= 1.101725 MPa
Ane
46.2377 MPa
Ans
Transcribed Image Text:Problems
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
4
σ3 (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.
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?
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