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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.

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.

Structural Analysis
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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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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