Rock mechanics 1. In a series of triaxial compression tests on a sandstone, the following repre-sent the stresses at peak load conditions:Test123σ3 (MPa)1.05.09.515.0σ(MPa)9.228.048.774.0Determine 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,isσ3 = 1300 psiσ₁ = 5000 psiThe pore water pressure (p.) will be raised by the construction of areservoir. 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 stressratio (03/0₁) above which "failure" cannot occur?4. In a plane wave front, the pressures in the plane of the wave front arev/(1-v) times the pressure normal to the wave front. What is the leastvalue of Poisson's ratio (v) such that compressive or shear failure does notoccur as the wave front sweeps through the rock? (See Problem 3.) 1=0.10869.2528= 0.17869.548.71574= 0.1931= 0.202713005000= 0.26The principal ratioloccurs will be the minumum valueatfrom the test 1,2,3,4,5 s410(3) failure can'tण03=0.1086

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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 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.

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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Concept explainers

Sediment transport

Sediment transport or Soil transport is the movement of solid particles, usually due to the combination of gravitational forces acting on the sediment, and the movement of the liquid at which the sediment enters. Soil erosion occurs in natural systems where the particles are sandstones (sand, rocks), mud, or clay; the liquid is air, water, or ice; and the gravitational force that works to move particles to the landing surface. Sediment transportation or soil migration due to the movement of liquids occurs in rivers, lakes, lakes, oceans, and other bodies of water as a result of currents and waves. Transportation is also caused by glaciers as they flow, and to places on earth under the influence of wind. Soil erosion due to gravity alone is possible in most sloping areas, including hills, scarves, cliffs, and the continental shelf — the continental boundary of the slope.

Question

Rock mechanics

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.)

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

Branch of science that deals with the stationary and moving bodies under the influence of forces.

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