A compacted earth fill is constructed on a soft, saturated clay (figure below). The fill was compacted to an average dry unit weight of 19 kN/m³ and water content of 15%. The shearing strength of the fill was determined by CU tests on samples compacted to representative field conditions. The shear strength parameters are Su = 45 kPa, 4, = 34°, and s = 28°. The variation of undrained shear strength of the soft clay with depth as determined by simple shear tests is shown in the figure below, and the friction angle at the critical state is 4es = 30°. The average water content of the soft clay is 40%. Compute the factor of safety using Bishop's simplified method. Assume that a tension crack will develop in the fill. 8 m 10 m 6 m Clay crust Su (kPa) 7.5 15 Compacted fill E 1.0 2.5 4 m Soft clay 5.0 Very dense sand 10 kPa [Budhu M. Soil Mechanics & Foundations (3E), p. 720] Page I of 2 Depth (m)

Fundamentals of Geotechnical Engineering (MindTap Course List)
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Chapter9: Consolidation
Section: Chapter Questions
Problem 9.14P
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A compacted earth fill is constructed on a soft, saturated clay (figure below). The fill was compacted
to an average dry unit weight of 19 kN/m³ and water content of 15%. The shearing strength of the
fill was determined by CU tests on samples compacted to representative field conditions. The shear
strength parameters are su = 45 kPa, Þ, = 34°, and es = 28°. The variation of undrained shear
strength of the soft clay with depth as determined by simple shear tests is shown in the figure below,
and the friction angle at the critical state is pes
= 30°. The average water content of the soft clay is
40%. Compute the factor of safety using Bishop's simplified method. Assume that a tension crack
will develop in the fill.
8 m
10 m
3
6 m
Clay crust
Su (kPa)
7.5 15
Compacted fill
+ 1 m
E 1.0
2.5
4 m
Soft clay
5.0
Very dense sand
10 kPa
[Budhu M. Soil Mechanics & Foundations (3E), p. 720]
Page I of 2
Note the following:
· Produce a step-by-step solution and clearly outline your approach.
· Use AutoCAD to prepare all drawings (to scale).
· Provide clear statements on how the required values of parameters are extracted from your
drawings.
• Label all the measurements taken off for the analysis; in this regard, generate as many drawings
as you need.
Depth (m)
Transcribed Image Text:A compacted earth fill is constructed on a soft, saturated clay (figure below). The fill was compacted to an average dry unit weight of 19 kN/m³ and water content of 15%. The shearing strength of the fill was determined by CU tests on samples compacted to representative field conditions. The shear strength parameters are su = 45 kPa, Þ, = 34°, and es = 28°. The variation of undrained shear strength of the soft clay with depth as determined by simple shear tests is shown in the figure below, and the friction angle at the critical state is pes = 30°. The average water content of the soft clay is 40%. Compute the factor of safety using Bishop's simplified method. Assume that a tension crack will develop in the fill. 8 m 10 m 3 6 m Clay crust Su (kPa) 7.5 15 Compacted fill + 1 m E 1.0 2.5 4 m Soft clay 5.0 Very dense sand 10 kPa [Budhu M. Soil Mechanics & Foundations (3E), p. 720] Page I of 2 Note the following: · Produce a step-by-step solution and clearly outline your approach. · Use AutoCAD to prepare all drawings (to scale). · Provide clear statements on how the required values of parameters are extracted from your drawings. • Label all the measurements taken off for the analysis; in this regard, generate as many drawings as you need. Depth (m)
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