A CD test was conducted on a sample of dense sand 37 mm in diameter x 77 mm long. The cell pressure was 200 kPa. The results are shown in the table below. Axial displacement (mm) 0 0.3 0.6 1.0 1.3 1.6 1.9 3.2 5.2 6.4 7.1 9.7 12.9 15.5 Axial load (N) 0 128.1 225.9 338.9 451.8 508.3 564.8 604.3 593.0 576.0 564.8 525.2 497.0 480.0 (a) Using the data in the table, plot the Deviatoric stress (y-axis) against axial strain (x-axis) graph. (b) Using the graph from (a), draw the Mohr-circle at the peak (i.e., the maximum deviatoric stress). Determine the principal stresses as well. (c) Provided that the sample is sand, draw a failure envelope on the Mohr circle from (b) and determine the friction angle (p').

Structural Analysis
6th Edition
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Chapter2: Loads On Structures
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A CD test was conducted on a sample of dense sand 37 mm in diameter × 77 mm long. The
cell pressure was 200 kPa. The results are shown in the table below.
Axial
displacement
(mm)
0
0.3
0.6
1.0
1.3
1.6
1.9
3.2
5.2
6.4
7.1
9.7
12.9
15.5
Axial
load
(N)
0
128.1
225.9
338.9
451.8
508.3
564.8
604.3
593.0
576.0
564.8
525.2
497.0
480.0
(a) Using the data in the table, plot the Deviatoric stress (y-axis) against axial strain (x-axis)
graph.
(b) Using the graph from (a), draw the Mohr-circle at the peak (i.e., the maximum
deviatoric stress). Determine the principal stresses as well.
(c) Provided that the sample is sand, draw a failure envelope on the Mohr circle from (b)
and determine the friction angle (p').
Transcribed Image Text:A CD test was conducted on a sample of dense sand 37 mm in diameter × 77 mm long. The cell pressure was 200 kPa. The results are shown in the table below. Axial displacement (mm) 0 0.3 0.6 1.0 1.3 1.6 1.9 3.2 5.2 6.4 7.1 9.7 12.9 15.5 Axial load (N) 0 128.1 225.9 338.9 451.8 508.3 564.8 604.3 593.0 576.0 564.8 525.2 497.0 480.0 (a) Using the data in the table, plot the Deviatoric stress (y-axis) against axial strain (x-axis) graph. (b) Using the graph from (a), draw the Mohr-circle at the peak (i.e., the maximum deviatoric stress). Determine the principal stresses as well. (c) Provided that the sample is sand, draw a failure envelope on the Mohr circle from (b) and determine the friction angle (p').
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