1. A direct shear test was conducted on a specimen of dry sand with a normal stress of 200 kN/m?. Failure occurred at a shear stress of 175 kN/m?. The size of specimen tested was 75mmx75mmx30mm. For a normal stress of 150 kN/m², what shear force would be required to cause failure of specimen?

Principles of Foundation Engineering (MindTap Course List)
8th Edition
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Author:Braja M. Das
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Chapter6: Vertical Stress Increase In Soil
Section: Chapter Questions
Problem 6.13P: Redo Problem 6.12 using Figure 6.15. 6.12 Refer to Problem 6.1. Using Eqs. (6.3) and (6.29),...
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1. A direct shear test was conducted on a specimen of dry sand with a normal stress of 200
kN/m?. Failure occurred at a shear stress of 175 kN/m?. The size of specimen tested was
75mmx75mmx30mm. For a normal stress of 150 kN/m², what shear force would be required
to cause failure of specimen?
2. A cut slope was excavated in sand. The slope is shown in following figure.
18m
0.*
5 m
14m
30°
To find the properties of the sand, representative samples were taken for the soil and tested in a
triaxial apparatus. A consolidated drained triaxial test was conducted. The result is given below:
Chamber pressure = 103 kN/m?
Deviator stress at failure = 234.6 kN/m?
We know the unit weight of the sand is 16 kN/m³.
Use the ordinary method of slices (use 7 slices) and estimate the factor of safety against sliding for
shown slip surface and comment on the calculated factor of safety.
Please note that:
1. The figure is not in scale. You may resketch it in scale and calculate the factor of safety
2. The slip surface is circular and passes through the toe of the embankment
Transcribed Image Text:1. A direct shear test was conducted on a specimen of dry sand with a normal stress of 200 kN/m?. Failure occurred at a shear stress of 175 kN/m?. The size of specimen tested was 75mmx75mmx30mm. For a normal stress of 150 kN/m², what shear force would be required to cause failure of specimen? 2. A cut slope was excavated in sand. The slope is shown in following figure. 18m 0.* 5 m 14m 30° To find the properties of the sand, representative samples were taken for the soil and tested in a triaxial apparatus. A consolidated drained triaxial test was conducted. The result is given below: Chamber pressure = 103 kN/m? Deviator stress at failure = 234.6 kN/m? We know the unit weight of the sand is 16 kN/m³. Use the ordinary method of slices (use 7 slices) and estimate the factor of safety against sliding for shown slip surface and comment on the calculated factor of safety. Please note that: 1. The figure is not in scale. You may resketch it in scale and calculate the factor of safety 2. The slip surface is circular and passes through the toe of the embankment
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