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).

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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
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
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?
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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