Problem No. 12.C.1 @ Page 488 - 489Books: Principles of Geotechnical Engineering by Braja M. Das 8th Edition Consolidated-drained triaxial tests73 (kN/m²)(Ar); (kN/m²)150527275965350122545015805101800Figure 12.58Task 2: Loading the specimen through a specified stress pathA soil specimen is loaded along the stress path O (0, 0), P (250, 0), and A (675,1000) under drained conditions to reach point A close to the failure line estab-lished in Task 1 (Figure 12.58). Determine the combinations of confining pres-sure and deviator stresses applied to the triaxial specimen at 0, P, and A in orderto follow the stress path O-P-A.© Cengage Leaming 2014Failure lineStress path O-P-AO Cengage Learning 2014 Critical Thinking Problem12.C.1 A soil element in the field may go through various complicated stresspaths during the lifetime of a geotechnical structure. It is sometimes possibleto simulate these field conditions by advanced triaxial stress path testing,in which the axial and confining pressures are independently controlled andvaried to achieve a desired stress path in the p'-q space. This way, soilbehavior can be predicted under more realistic field conditions. In thisproblem, we will investigate the influence of stress paths in producing themost damaging strains in a granular material undergoing consolidateddrained triaxial testing. The following definitions of p' (mean normaleffective stress) and q (deviatoric stress) are used in this study (Schofieldand Wroth, 1968):p' =(o + o; + ơ;) = (o + 203), (note: o'; = o', for triaxial tests)q = 01 – 03Task 1: Establishing the failure line in the p' – q spaceThe following table shows the results of a series of consolidated-drained triaxialtests on a medium dense granular soil. Draw the stress paths for each test in thep'-q space. Also, establish the failure line going through the origin and con-necting the failure points (p/, q).

a) The deviator stress at failure , ∆σdf = σ'1 - σ'3…

Consolidated-drained triaxial tests 0z (kN/m²) (Ao d; (kN/m²) 150 527 275 965 350 1225 450 1580 510 1800 Figure 12.58 Task 2: Loading the specimen through a specified stress path A soil specimen is loaded along the stress path O (0, 0), P (250, 0), and A (675, 1000) under drained conditions to reach point A close to the failure line estab- lished in Task 1 (Figure 12.58). Determine the combinations of confining pres- sure and deviator stresses applied to the triaxial specimen at 0, P, and A in order to follow the stress path O-P-A. © Cengage Leaming 2014 Failure line Stress path O-P-A © Cengage Leaming 2014

Consolidated-drained triaxial tests 0z (kN/m²) (Ao d; (kN/m²) 150 527 275 965 350 1225 450 1580 510 1800 Figure 12.58 Task 2: Loading the specimen through a specified stress path A soil specimen is loaded along the stress path O (0, 0), P (250, 0), and A (675, 1000) under drained conditions to reach point A close to the failure line estab- lished in Task 1 (Figure 12.58). Determine the combinations of confining pres- sure and deviator stresses applied to the triaxial specimen at 0, P, and A in order to follow the stress path O-P-A. © Cengage Leaming 2014 Failure line Stress path O-P-A © Cengage Leaming 2014

Principles of Geotechnical Engineering (MindTap Course List)

9th Edition

ISBN:9781305970939

Author:Braja M. Das, Khaled Sobhan

Publisher:Braja M. Das, Khaled Sobhan

Chapter12: Shear Strength Of Soil

Section: Chapter Questions

Problem 12.18P

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Question

Problem No. 12.C.1 @ Page 488 - 489

Books: Principles of Geotechnical Engineering by Braja M. Das 8th Edition

Consolidated-drained triaxial tests
73 (kN/m²)
(Ar); (kN/m²)
150
527
275
965
350
1225
450
1580
510
1800
Figure 12.58
Task 2: Loading the specimen through a specified stress path
A soil specimen is loaded along the stress path O (0, 0), P (250, 0), and A (675,
1000) under drained conditions to reach point A close to the failure line estab-
lished in Task 1 (Figure 12.58). Determine the combinations of confining pres-
sure and deviator stresses applied to the triaxial specimen at 0, P, and A in order
to follow the stress path O-P-A.
© Cengage Leaming 2014
Failure line
Stress path O-P-A
O Cengage Learning 2014

Critical Thinking Problem
12.C.1 A soil element in the field may go through various complicated stress
paths during the lifetime of a geotechnical structure. It is sometimes possible
to simulate these field conditions by advanced triaxial stress path testing,
in which the axial and confining pressures are independently controlled and
varied to achieve a desired stress path in the p'-q space. This way, soil
behavior can be predicted under more realistic field conditions. In this
problem, we will investigate the influence of stress paths in producing the
most damaging strains in a granular material undergoing consolidated
drained triaxial testing. The following definitions of p' (mean normal
effective stress) and q (deviatoric stress) are used in this study (Schofield
and Wroth, 1968):
p' =(o + o; + ơ;) = (o + 203), (note: o'; = o', for triaxial tests)
q = 01 – 03
Task 1: Establishing the failure line in the p' – q space
The following table shows the results of a series of consolidated-drained triaxial
tests on a medium dense granular soil. Draw the stress paths for each test in the
p'-q space. Also, establish the failure line going through the origin and con-
necting the failure points (p/, q).

Study of soil under various loading conditions for different structures. The stability of slopes, foundation planning and designing, shear and bearing capacity of soil are common areas of geotechnical engineering.

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