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Cone Resistance Change Due to Cyclic Torsional Shearing

Chapter 6 Test Results

6.3 Cyclic Torsional Shear Test

6.3.4 Cone Resistance Change Due to Cyclic Torsional Shearing

The change of CPT cone resistance in the fill due to cyclic shearing compaction is studied in this section. Fig. 6.38 to Fig. 6.42 shows the test result of cone resistance after 20 cycles of shearing at different the shearing angles. The cone resistance for loose sand and statically loaded sand are also shown in the figures. Fig. 6.38 shows, the cone resistance qc has increased after compaction at shearing angle

 = ±1°. Fig.

6.39 to Fig. 6.42 show the tip resistance qc at shearing angles of ±3°, ±5°, ±7° and

±10°. As compared with that for loose fill, statically loaded fill, the cone resistance increased signification due to compaction. Fig. 6.43 shows the cone resistance increased significantly after cyclic shear compaction. Fig 6.44 showed the distribution of normalized qc for uncompacted loose fill. For loose soil, the qc / qc,loose was 1.0. In Fig 6.44, cone resistance ratio increased to about 4 times due to the static loading q = 9.2 kPa. After the application of static and cyclic shear compaction, the cone resistance increased up to about 6 times. The effects of static vertical load and cyclic shearing on the cone resistance of soil were quite obvious.

Fig. 6.45 to Fig. 6.49 show the cone resistance at different depths were converted to the relative density of soil with the method proposed by Jamiolkowski et al. (1985).

In these figure, the calculated relative density of loose fill was compared with that measured in the lab. In fig 6.48, the test values were neared the calculated relative density at the shearing angle  = ±7° at the depth z = 200 mm to 300 mm. The cone resistance was very low at the depth z = 0 mm to 200 mm because of the extremely

40

low overburden and confining pressure. With such a thin soil fill (H = 600 mm), it may not be a good idea to predict the distribution of soil density with the penetration test.

The effective depth of compaction plays an important role in field earthwork.

Compaction with a smooth-wheel vibratory roller can easily reach an effective depth of compaction of 0.3 m. Although the compaction with the cyclic torsional shear compactor suggested in this thesis make low noise and no low vibration, however the effective depth was only compaction of 0.15 m. That means it would require double the number of lifts in the field. It should be mentioned that, the laboratory experimental investigation shown in this study is only preliminary. The effective depth of compaction in construction can be enlarged by properly adjusting the radius of the shearing disc R, the applied normal stress q for construction.

Chapter 7

CONCLUSIONS

In this study, the surface settlement, change of relative density, stresses and cone resistance change in the soil due to static vertical loading, and cyclic torsional shearing compaction were investigated. Based on the experiment results, the following conclusions were drawn.

1. With the vertical loading q = 9.2 kPa on the surface of the four 150 mm-thick soil lift, the induced surface settlements varied from 15.0 to 22.3 mm. The average surface settlement was 19.0 mm, which was about 3.2% of the soil thickness. Static vertical loading is an effective method to compact the loose fill.

2. Static vertical loading represents the dead load of the cyclic torsional shear compactor. After the application of q = 9.2 kPa, on the average, the relative density of soil increased from 35.5% to about 62%, which was less than the target value Dr = 70-85% for dense sand.

3. As compared with that for uncompacted loose sand, the effects of static vertical loading on the vertical and horizontal earth pressure, in the compressed soil mass were not significantly.

4. The application of static vertical loading q = 9.2 kPa significantly increased the cone resistance of the compressed fill. The normalize cone resistance qc / qc,loose increased from 1.0 to 4.6 due to static compression.

5. After 20 cycles of torsional shearing with the rotation angle of

 = ±10° on the

surface of the four 150 mm-thick lifts, the average surface settlement was 38.2 mm (volumetric strain = 6.4%). The extra surface settlement due to the torsional shearing compaction was about 19.2 mm. Cyclic torsional shearing compaction (static plus cyclic loads) is an effective method to densify loose soil.

6. With static load q= 9.2 kPa and the lift thickness of 150 mm, after 20 cycles of

42

torsional shearing with angle

 of ±5°, the relative density achieved was 72 to

84%. The compacted relative density increased with increasing  angle.

7. The vertical earth pressure in the fill was not influenced by the cyclic shearing compaction. However, after cyclic shearing compaction, the horizontal earth pressure in the compacted fill increased from 27% to 88%

8. After cyclic torsional shear compaction, the normalized cone resistance qc / qc,loose increased from 4.6 to about 9.0. Test results showed the cyclic shearing compaction effects on the cone resistance in the fill was quite obviously.

References

1. ASTM D4253-93 (2007). “Standard Test Methods for Maximum Index Density and Unit Weight of Soils Using a Vibratory Table,” Section four, Construction, Volume 04.08, Soil and Rock (I): D420-D5779 Annual Book of ASTM Standards, ASTM, Conshohocken, PA, USA.

2. Baldi, G., Bellotti, R., Ghionna, V., Jamiolkowski, M. and Pasqualini, E. (1986)

“Interpretation of CPT s and CPTUs; 2nd part: drained penetration of sands”.

Proceedings of the Fourth International Geotechnical Seminar, Singapore, 143-56.

3. Borowicka, H., Influence of Rigidity of a Circular Foundation Slab on the Distribution of Pressures over the Contact Surface, Proc. 1st

Int. Conf. Soil Mech.

Found. Eng., vol. 2, pp. 144-149, 1936.

4. Borowicka, H., The Distribution of Pressure under a Uniformly Loaded Elastic Strip Resting on Elastic-Isotropic Ground, 2d Cong. Int. Aaaoc. Bridge Struct.

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5. Burgess, G. P. (1999). “Performance of Two Full-scale Model Geosynthetic Reinforced Segmental Retaining Walls,” MS thesis, Royal Military College of Canada, Kingston, Ontario, 207.

6. Chang, S. Y., (2000), “Effect of Backfill Density on Active Earth Pressure,”

Master of Engineering Thesis, Dept. of of Civil Engineering, National Chiao Tung University, Hsinchu, Taiwan.

7. Chen, T. J., and Fang, Y. S, (2002). “A New Facility For Measurement of Earth Pressure At-Rest,” Geotechnical Engineering Journal, SEAGS, 3(12), 153-159.

8. Chen, T. J., (2003). “Earth Pressures Due to Vibratory Compaction.” Ph.D.

Dissertation, National Chiao Tung University, Hsinchu, Taiwan.

9. Chen, T. J., and Fang, Y. S, (2008). “Earth Pressure Due to Vibratory Compaction”, Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 134 (4), 1-8.

10. Chen, K.Y., (2011). “Densification of Sand Due to Cyclic Torsional Shear

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Compaction.” Master of Engineering Thesis. Dissertation, National Chiao Tung University, Hsinchu, Taiwan.

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12. Das, B. M., (1994), “Principal of Geotechnical Engineering. ” 3rd Edition, PWS Publishing Company, Boston.

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21. Ho, Y. C., (1999), “Effects of Backfill Compaction on Passive Earth Pressure,”

Master of Engineering Thesis, National Chaio Tung University, Hsinchu, Taiwan 22. Hsu, C. C., and Vucetic, M., (2004), “Volumetric Threshold Shear Strain for

Cyclic Settlement,” Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 130 (11), 58-70.

23. Huang, Y. X., (2008) “A Study on the Disc Shearing Behavior of Sand in a Mid-size Soil Tank,“ Master of Engineering Thesis, Chung Yuan Christian University, Chungli, Taiwan.

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25. Ingold, T. S. (1979). “The effects of compaction on retaining walls.”

Geotechnique, 29(3), 265-283.

26. Ishibashi, I., and Sherif, M. A., (1974), “Soil Liquefaction by Torsional Simple Shear Device,” Journal of the Geotechnical Engineering Division, ASCE, 100 (8), 871-888.

27. Ishibashi, I., Kawamura, M., and Bhatia, S. K., (1985), “Effect of Initial Shearing on Cyclic Drained and Undrained Characteristics of Sand.” Geotechnical Engineering Report 85-2, School of Civil and Environmental Engineering, Cornell University, Ithaca, New York, USA.

28. Jaky, J. (1944). “The Coefficient of Earth Pressure at rest.” Journal for Society of

Hungarian Architects and Engineers, Budapest, Hungary, Oct., 355-358.

29. Jaky, J., (1948), “Pressure in Soils,” Proceedings, 2nd

International Conference on Soil Mechanics and Foundation Engineering, 1, 103-107.

30. Jamiolkowski, M., Ladd, C.C., Germaine, J.T. and Lancellotta, R. (1985) “New developments in field and laboratory testing of soils”. State-of-the art report.

Proceeding of the 11th International Conference on Soil Mechanics and Foundation Engineering, San Francisco, 1, 57-153, Balkema Pub., Rotterdam.

31. Johnson, A. W., and Sallberg, J. R. (1960). “Factors That Influence Field Compaction of Soil.” Highway Research Board, Bulletin No. 272.

32. Kramer, S. L., (1996), “Geotechnical Earthquake Engineering”, Prentice-Hall, Inc.,

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Upper Saddle River, New Jersey.

33. Lo Presti, D. C. F., Pedroni, S., and Crippa, V. (1992). “Maximum Dry Density of Cohesionless Soils by Pluviation and by ASTM D 4253-83: A comparative study.”

Geotechnical Testing Journal, ASTM, 15(2), 180-189.

34. Mayne, P. W., and Kulhawy, F. H. (1982). “

K -OCR Relationships in Soil.”

o

Journal of Geotechnical Engineering Division, ASCE, 108(GT6), 851-872.

35. McElroy, J. A. (1997). “Seismic Stability of Geosynthetic Reinforced Slopes: A shaking table study.” MS thesis, University of Washington, Seattle, 286.

36. Mesri, G., and Hayat, T. M. (1993). “The Coefficient of Earth Pressure at rest.”

Canadian Geotechnical Journal, 30(4), 647-666.

37. Miura, K., Tsukada, Y., Tsubokawa, Y., Ishito, M., Nishimura, N., Ohtani, Y., and You, G. L., (2000), “Bearing capacity during earthquake of the spread footing reinforced with micropiles.” Proceedings, 12th World Conference on Earthquake Engineering, pp. 1-8.

38. Peck, R. B., and Mesri, G. (1987). Discussion of “Compacted-induced earth pressures under Ko-conditions.” Journal of Geotechnical Engineering, ASCE, 113(11), 1406-1408.

39. Rad, N. S., and Tumay, M. T. (1987). “Factors affecting sand specimen preparation by raining.“ ASTM Geotechnical Testing Journal, 10(1), 31-37.

40. Ren, F. Y., (2006) “A Study on the Influence of Type of Plate Shearing on the Relative Density of Loose Sand,“ Master of Engineering Thesis, Chung Yuan Christian University, Chungli, Taiwan.

41. Seed, R. B., and Duncan, J. M. (1983). “Soil-Structure Interaction Effects of Compaction-induced Stresses and Deflections.” Geotechnical Engineering

Research Report No. UcB/GT/83-06, Univ. of California Berkeley, CA.

42. Sowers, G. F., Robb, A. D., Mullis, C. H., and Glenn, A. J. (1957). “The Residual Lateral Pressures Produced by Compacting Soils.” Proceedings, 4th

International Conference on Soil Mechanics and Foundation Engineering, London, 243-247.

43. Terzaghi, K. (1934). “Large retaining-wall tests (I): Pressure of dry sand.”

Engineering News-Record, 112, 136-140.

44. Terzaghi, K. (1941). “General wedge theory of earth pressure.” ASCE

Transactions, 106, 68-80.

45. Terzaghi, K. (1943). Theoretical Soil Mechanics, Wiley, New York.

46. Tzeng, S. K., (2002). “Horizontal Pressure on an Unyielding Wall due to Strip Loading on Backfill with Different Densities.” MS thesis, Dept. of Civil Engineering, National Chiao Tung University, Hsinchu, Taiwan.

47. Robertson P. K. and Cabal K.L. (Robertson), (2009). “Guide to Cone Penetration Testing for Geotechnical Engineering.” Gregg Drilling & Testing, Inc. Corporate Headquarters 2726 Walnut Avenue Signal Hill, California 90755.

48. US NAVY. (1982). “Foundations and Earth Structures.” NAVFAC Design Manual

DM-7.2. Naval Facilities Engineering Command, U.S. Government Printing

Office, Washington, D. C., 60.

49. Vesic, A. S., (1973), “Analysis of Ultimate Loads of Shallow Foundations,”

Journal of the Soil Mechanics and Foundations Division, ASCE, 99 (1), 45-73.

50. Vesic, A. S., Banks, D. C., and Woodard, J. M. (1965). “ An Experimental Study of Dynamic Bearing Capacity of Footings on Sand.” Proceedings, Sixth

International Conference on Soil Mechanics and Foundation Engineering,

Montreal, Canada, II, 209-213.

51. Wang, F. J., (2005). “Effects of Adjacent Rock Face Inclination on Earth Pressure at-rest.” MS thesis, Dept. of Civil Engineering, National Chiao Tung University, Hsinchu, Taiwan.

52. Yang, C. T., (2002) “A Study on Plate Shear to Improve Relative Density of Sand,“ Master of Engineering Thesis, Chung Yuan Christian University, Chungli, Taiwan.

53. Youd, T. L., (1972), “Compaction of Sand by Repeated Straining,” Journal of the Soil Mechanics and Foundations Division, ASCE, 98 (7), 709-725.

48

Table2.1. Qualitative description of granular soil deposits Relative density (%)

Table3.1. Characteristics of normal loading discs Thickness

Disc ( mm )

37.5 20.0 10.0 3.0 2.0 1.0

Mass

( kg )

19.80 9.60 4.80 1.55 1.05 0.50

Quantity

Ordered

4 3 1 2 3 4

50

Table 4.1. Properties of Ottawa Sand (after Chen, 2003)

Shape Rounded

emax 0.76

emin 0.50

Gs 2.65

D60 (mm) 0.39

D10 (mm) 0.26

Cu 1.5

Fig. 2.1. Arrangement of uniform spheres (after Deresiewicz, 1958)

52

Fig. 2.2. Unit weight vs. depth relation for vibratory roller compaction (after Whitman and D’Appolonia, 1969)

Fig. 2.3. Compacted unit weight profiles for 8-ft lift heights for 2, 5, 15, and 45 vibratory roller passes (after Whitman and D’Appolonia, 1969)

54

Fig. 2.4. Approximate method for determining lift height required to achieve a minimum compacted relative density of 75% with five roller passes using data for a

large lift height

(after Whitman and D’Appolonia, 1969)

Fig. 2.5. Development of in-situ stresses (after Chen, 2003)

56

Fig. 2.6. Principal Stresses on a Soil Element

x

y

z v

h

 

h

Fig. 2.7. Jaky’s Formulation of the Relationship between Ko on OC and

58

Fig. 2.8. Simplified stress history of soil under Ko conditions (after Mayne and Kulhawy, 1982)

(after Mayne and Kulhawy, 1982)

60

Fig. 2.10. Basic components of hysteretic Ko-loading/unloading model (after Duncan and Seed, 1986)

MPLP

Fig. 2.11. Comparison between Final Pressure Distributions Based on Incremental Analysis and Hand Solution (after Duncan and Seed, 1983)

62

Fig. 2.12. Distribution of Horizontal Earth Pressure after Compaction (after Chen and Fang, 2008)

0 5 10 15

Fig. 2.13. Stress path of a soil element under compaction (after Chen and Fang, 2008)

Horizontal Earth Pressure, h (kN/m2)

F : Fill

Horizontal Earth Pressure, h (kN/m2) F : Fill

C : Compaction

Horizontal Earth Pressure, h (kN/m2) F : Fill

C : Compaction

64

Fig. 2.14. Horizontal Earth Pressure Estimated with Various Methods after Compaction (after Chen and Fang, 2008)

Fig. 2.15. NGI cyclic simple shear apparatus (after Airey and Wood, 1987)

66

Fig. 2.16. Stress conditions of a soil specimen cyclic horizontal shear stress

Fig. 2.17. Void ratio versus cyclic displacement for densification of a sand with successive cycles of shear (after Youd, 1972)

68

Fig. 2.18. Sketch of typical results of cyclic simple shear strain-controlled tests with definitions of volumetric cyclic threshold strain (after Hsu and Vucetic, 2004)

Fig. 2.19. Torsional simple shear device (after Ishibashi et al. 1985)

70

Fig. 2.20. Variation of cyclic volumetric strain as a function of cyclic shear strain (after Ishibashi et al., 1985)

Fig. 2.21. Change of relative density with one-way and cyclic disc shearing versus normal stress (after Yang, 2002)

Cyclic Shear

One-Way Shear

72

Fig. 2.22. Change of relative density due to cyclic disc shear with number of cycles (after Ren, 2006)

Fig. 2.23. Change of relative density due to cyclic disc shear at different depths with high of layer (after Ren, 2006)

74

Fig. 2.24. Surface settlement due to static vertical load at N = 0 to N = 40 (after Chen, 2002)

0.6

Fig. 2.25. Distribution of relative density due to cyclic torsional shearing (after Chen, 2011)

76

Fig. 2.26. Distribution of relative density in lift 1 to 4 (after Chen, 2011)

Fig. 2.27. Relationship between Relative density and qc (Jamiolkowski et al., 1985) Low compressibility High compressibility

78

Fig. 3.1. NCTU non-yielding model retaining wall and soil bin (after Chen and Fang, 2008)

1600

Fig. 3.2. Soil-Pressure Transducer (Kyowa BE-2KCM17) (after Chen, 2003)

80

Fig. 3.3. Dimensions of cyclic torsional shear compactor (after Chen, 2011)

Fig. 3.4. Cyclic torsional shear compactor (after Chen, 2011) Hoist Ring

Torque Wrench

Torque Shaft

Shear Disc

Normal Load Discs Torque Frame

82

Fig. 3.5. Bottom of shearing disc with radial fins (after Chen, 2011)

(a)

(b)

Fig. 3.6. Dimensions of a radial fin (after Chen, 2011)

84

Fig. 3.7. Bottom of shearing disc with SAFETY WALK (after Chen, 2011) Safety Walk

(a)

(b)

Fig. 3.8. Dimensions of normal loading discs (after Chen, 2011)

86

Fig. 3.9. Dimensions of torque loading frame (after Chen, 2011)

Fig. 3.10. Torque loading frame (after Chen, 2011) Hoist Ring

Hexagon cap

Torque Shaft

88

(a)

(b)

Fig. 3.11. Dimensions of torque wrench (after Chen, 2011)

(a)

(b)

Fig. 3.12. Dimensions of digital torque wrench (after Chen, 2011)

90

Fig. 3.13. Torque wrench are installed on the cyclic torsional loading frame (after Chen, 2011)

(a)

(b)

(c)

Fig. 3.14. Cone penetration facility of CYCU

Speed Control

92

(a)

(b)

Fig. 3.15. Data acquisition system Personal Computer

Labview Program

NI BNC – 2090 AD/DA Card

Dynamic Strain Amplifiers (Kyowa: DPM601A and DPM711B)

10 1 0.1 0.01 Particle Diameter (mm)

0 20 40 60 80 100

P er ce n t F in er b y W ei g h t (% )

Ottawa Silica Sand (ASTM C-778)

Fig. 4.1. Grain size distribution of Ottawa sand (after Chen, 2003)

94

Fig. 4.2. Lubrication layer on the side wall (after Chen, 2011)

1 10 100

W al l F ri ct io n A n g le , 

sw

( d eg re e)

Sliding Block Test Plastic-sheet method 1 thick + 2 thin sheeting

w

= 7.5

o

Fig. 4.3. Variation of frition Angle with normal stress (after Fang et al., 2004)

96 Unit:mm

430

120

Slot Control Handle Slot Opening

800 500

940

500

Fig. 4.4. Soil hopper (after Chen, 2011)

Slot Opening = 15 mm

Soil Control Handle

(a)

Drop Height = 1.0m

(b)

Fig. 4.5. Pluviation of Ottawa sand into soil bin (after Chen, 2011)

98

Fig. 4.6. Relationship among slot opening, drop height, and relative density (after Ho, 1999)

Fig. 4.7. Dimensions of soil density cup (after Chen, 2011)

100

Fig. 4.8. Soil density cup

Unit : mm

Fig. 4.9. Soil density cups buried at different elevations

102

Density Cup

Ottawa Sand

Left sidewall Right sidewall

Top-View

Steel Base Plate Steel Beam Steel Column

Fig. 4.10. Arrangement of soil density cups at same elevation

Fig. 4.11. Measurement of soil mass in density cup

Density

Cup Ottawa Sand

104

Fig. 4.12. Distribution of relative density with depth

Fig. 5.1. Soil storage Ottawa sand

106

Fig. 5.2. Sand hopper and electrical scale (after Chen, 2011) SandHopper

Electrical Scale

Fig. 5.3. Sand hopper lifted by overhead crane (after Chen, 2011) Overhead Crane

108

Fig. 5.4. Air-pluviation of Ottawa sand into soil bin

( a )

( b )

Fig. 5.5. Portable hanging ladders and bridge board hanging on side wall Bridge Board

Side Wall

Portable Hanging Ladder

110

Fig. 5.6. Level soil surface with a brush

(a)

(b)

Fig. 5.7. Check density cup horizontal with a bubble level Bubble Level

112

Fig. 5.8. Soil density cup and soil-pressure transducer placed on soil surface Density Cup

Soil-Pressure Transducer

Unit : mm

Fig. 5.9. Soil density cups and soil-pressure transducer buried at different elevations

114

Fig. 5.10. Grid points on soil surface

Fig. 5.11. Hoist of CTSC into the soil bin

116

Fig. 5.12. 5×5 and 4×4 loading formations of disc shearing location

Fig. 5.13. Apply vertical static load on loose sand

118

Fig. 5.14. Fixed light dot from laser distance meter Angle Steel Bar

Fixed Light Dot Laser Distance Meter

Fig. 5.15. Apply cyclic torsional shear on loose fill

120

Fig. 5.16. Shear disc at initial position  = 0° (after Chen, 2011)

Ottawa Sand

Shear Disc

Laser Light Dot

Fig. 5.17. Shear disc rotated to = +5° (after Chen, 2011)

122

Fig. 5.18. Shear disc rotated to = - 5° (after Chen, 2011)

Fig. 5.19. Application of cyclic torsional shear to loose sand

124

Fig. 5.20. Compacted soil surface after 4×4 formation of cyclic torsional shear at N=5

Fig. 5.21. Compacted soil surface after 5×5 formation ofcyclic torsional shear at N=10

126

Fig. 5.22. Compacted soil surface after 4×4 formation ofcyclic torsional shear at N=20

Fig. 5.23. Soil density cups dug out of compacted soil mass

128

( a )

( b )

( c )

Fig. 5.24. Scraping of soils toward edge of density cup with a spatula

( a )

( b )

( c )

( d )

Fig. 5.25. Brush away soil particles from base plate of density cup

130

Steel Base Plate Steel Beam Steel Column

Ottawa Sand

Fig. 5.26. Arrangement of cone penetration location

(a)

(b)

Fig. 5.27. Steel beam on top of soil bin for CPT test Steel C-clamp

132

Fig. 5.28. Electric motor and movable plate fixed to the steel beam by the screws Screws

(a)

(b)

Fig. 5.29. Connect cone penetrometer with electric motor

134

Fig. 5.30. Cone penetrometer on soil surface

Fig. 6.1. Settlement measurement with laser distance meter Laser

Distance Meter

136

Fig. 6.2. Surface settlement due to static vertical loading

Fig. 6.3. Distribution of relative density due to static vertical loading (after Chen, 2011)

138

Fig. 6.4. Distribution of relative density due to static vertical loading

Unit : mm

Fig. 6.5. Locations of SPT to measure distribution of earth pressure

140

Fig. 6.6. Distribution of vertical earth pressure with depth

Fig. 6.7. Distribution of horizontal earth pressure with depth

142

Fig. 6.8. Distribution of cone resistance in soil mass

Fig. 6.9. Distribution of relative density after static load

144

Fig. 6.10. Digital torque wrench

Fig. 6.11. Torque with number of cyclic for  = ±1, ±3, ±5, ±7 and ±10

146

Fig. 6.12. Variation of torque with shearing angle

Fig. 6.13. Determine the maximum torsional shear stress at the edge of the shearing disc due to the applied torque

148

Fig. 6.14. Maximum shear stress with shearing angle

Fig. 6.15. Settlement after cyclic torsional shearing

150

Fig. 6.16. Settlement after cyclic torsional shearing

Fig. 6.17. Distribution of relative density due to cyclic torsional shearing at  = ±1°

152

Fig. 6.18. Distribution of relative density due to cyclic torsional shearing at  = ±3°

Fig. 6.19. Distribution of relative density due to cyclic torsional shearing at  = ±5°

154

Fig. 6.20. Distribution of relative density due to cyclic torsional shearing at  = ±7°

Fig. 6.21. Distribution of relative density due to cyclic torsional shearing at  = ±10°

156

Fig. 6.22. Distribution of relative density after cyclic torsional shearing

Fig. 6.23. Relative density with shearing angle

158

Fig. 6.24. Distribution of vertical earth pressure after cyclic torsional shear at  = ±1°

Fig. 6.25. Distribution of vertical earth pressure after cyclic torsional shear at  = ±3°

160

Fig. 6.26. Distribution of vertical earth pressure after cyclic torsional shear at  = ±5°

Fig. 6.27. Distribution of vertical earth pressure after cyclic torsional shear at  = ±7°

162

Fig. 6.28. Distribution of vertical earth pressure after cyclic torsional shear at  =

±10°

Fig. 6.29. Distribution of vertical stress after static loading and cyclic torsional shearing

164

Fig. 6.30. Normalized vertical stress after cyclic torsional shearing

Fig. 6.31. Distribution of horizontal earth pressure after cyclic torsional shear at  =

±1°

166

Fig. 6.32. Distribution of horizontal earth pressure after cyclic torsional shear at  =

±3°

Fig. 6.33. Distribution of horizontal earth pressure after cyclic torsional shear at  =

±5°

168

Fig. 6.34. Distribution of horizontal earth pressure after cyclic torsional shear at  =

±7°

Fig. 6.35. Distribution of horizontal earth pressure after cyclic torsional shear at  =

±10°

170

Fig. 6.36. Distribution of horizontal stress after static loading and cyclic torsional shearing

Fig. 6.37. Normalized horizontal stress after cyclic torsional shearing

172

Fig. 6.38. Distribution of cone resistance after cyclic torsional shear at  = ±1°

Fig. 6.39. Distribution of cone resistance after cyclic torsional shear at  = ±3°

174

Fig. 6.40. Distribution of cone resistance after cyclic torsional shear at  = ±5°

Fig. 6.41. Distribution of cone resistance after cyclic torsional shear at  = ±7°

176

Fig. 6.42. Distribution of cone resistance after cyclic torsional shear at  = ±10°

Fig. 6.43. Distribution of cone resistance after cyclic torsional shearing

178

Fig. 6.44. Distribution of qc / qc,loose after cyclic torsional shearing

Fig. 6.45. Distribution of relative density after cyclic torsional shear at  = ±1°

180

Fig. 6.46. Distribution of relative density after cyclic torsional shear at  = ±3°

Fig. 6.47. Distribution of relative density after cyclic torsional shear at  = ±5°

182

Fig. 6.48. Distribution of relative density after cyclic torsional shear at  = ±7°