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1. a. A vane shear test was conducted in a saturated clay. The height and diameter of the rectangular vane were 4 in. and 2 in., respectively. During the test, the maximum torque applied was 230 lb-in. Determine the undrained shear strength of the clay.

b. The clay soil described in part (a) has a liquid limit of 58 and a plastic limit of

29. What would be the corrected undrained shear strength of the clay for design purposes? Use Bjerrum's relationship for [Eq. (3.40a)].

2. Refer  to  Problem  3.17.  Determine  the  overconsolidation  ratio  for  the  clay.  Use Eqs. (3.42) and (3.45). Use s90  5 1340 lb/ft2.

3. In a deposit of normally consolidated dry sand, a cone penetration test was conducted. Following are the results:

Depth (m)

Point resistance of cone, q(MN/m2)

1.5

2.06

3.0

4.23

4.5

6.01

6.0

8.18

7.5

9.97

9.0

12.42

Assuming the dry unit weight of sand to be 16 kN/m3, estimate the average peak friction angle, 9, of the sand. Use Eq. (3.53).

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