The Delft Sand, Clay & Rock Cutting Model, 2019a

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The Delft Sand, Clay & Rock Cutting Model. Table D-2: β for hb/hi=2, non-cavitating. hb/hi=2 32 º 37 º 42 º 47 º 52 º 15 º 41.128 40.402 39.427 38.273 36.986 18 º 39.239 38.609 37.720 36.643 35.424 15 º 21 º 37.554 36.993 36.167 35.147 33.979 24 º 36.030 35.517 34.738 33.760 32.630 27 º 34.638 34.158 33.410 32.462 31.358 30 º 33.354 32.893 32.167 31.238 30.152 15 º 39.129 37.939 36.562 35.056 33.457 18 º 37.223 36.144 34.859 33.429 31.894 30 º 21 º 35.458 34.468 33.258 31.891 30.408 24 º 33.820 32.899 31.748 30.432 28.992 27 º 32.293 31.425 30.320 29.043 27.637 30 º 30.864 30.035 28.965 27.718 26.336 15 º 33.483 32.334 30.991 29.508 27.918 18 º 31.743 30.679 29.408 27.985 26.444 45 º 21 º 30.142 29.141 27.925 26.547 25.043 24 º 28.660 27.704 26.527 25.182 23.705 27 º 27.278 26.353 25.202 23.879 22.420 30 º 25.982 25.074 23.939 22.630 21.179 15 º 27.692 26.533 25.186 23.694 22.085 18 º 26.156 25.057 23.759 22.307 20.729 60 º 21 º 24.744 23.683 22.418 20.991 19.432 24 º 23.432 22.394 21.147 19.733 18.180 27 º 22.203 21.173 19.932 18.520 16.965 30 º 21.039 20.008 18.763 17.344 15.776 The shear angle as a function of the blade angle , the angle of internal friction , the soil/interface friction angle , for the non-cavitating cutting process, for hb/hi=2. Page D-22 of 228 TOC Copyright @Dr.ir. S.A. Miedema
The Shear Angle β Non-Cavitating. Table D-3: β for hb/hi=3, non-cavitating. hb/hi=3 32 º 37 º 42 º 47 º 52 º 15 º 42.346 41.502 40.418 39.164 37.786 18 º 40.414 39.674 38.681 37.507 36.198 15 º 21 º 38.673 38.010 37.086 35.973 34.718 24 º 37.087 36.481 35.609 34.542 33.328 27 º 35.631 35.064 34.230 33.197 32.013 30 º 34.283 33.742 32.934 31.926 30.763 15 º 40.176 38.793 37.257 35.619 33.909 18 º 38.242 36.978 35.537 33.977 32.331 30 º 21 º 36.421 35.258 33.900 32.407 30.817 24 º 34.711 33.631 32.341 30.906 29.364 27 º 33.103 32.090 30.858 29.470 27.968 30 º 31.590 30.631 29.444 28.095 26.625 15 º 35.406 33.895 32.248 30.509 28.703 18 º 33.548 32.142 30.578 28.907 27.156 45 º 21 º 31.788 30.472 28.981 27.368 25.665 24 º 30.126 28.885 27.455 25.891 24.230 27 º 28.557 27.376 25.996 24.474 22.845 30 º 27.075 25.941 24.600 23.111 21.509 15 º 28.252 26.972 25.516 23.930 22.241 18 º 26.613 25.406 24.010 22.472 20.823 60 º 21 º 25.094 23.940 22.588 21.086 19.464 24 º 23.677 22.560 21.238 19.760 18.156 27 º 22.348 21.253 19.950 18.485 16.890 30 º 21.092 20.008 18.713 17.254 15.600 The shear angle as a function of the blade angle , the angle of internal friction , the soil/interface friction angle , for the non-cavitating cutting process, for hb/hi=3. Copyright © Dr.ir. S.A. Miedema TOC Page D-23 of 228
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The Delft Sand, Clay & Rock Cutting
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Chapter 1: Introduction. 1.1. Appro
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Introduction. In dry sand cutting t
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Chapter 2: Basic Soil Mechanics. 2.
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Basic Soil Mechanics. 2.2.2. Soil C
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Basic Soil Mechanics. soil characte
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Basic Soil Mechanics. 2.3. Soils. 2
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Basic Soil Mechanics. 2.3.2. Clay.
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Basic Soil Mechanics. 2.3.3. Rock.
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Basic Soil Mechanics. Figure 2-12:
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Basic Soil Mechanics. Figure 2-15 B
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2.4. Soil Mechanical Parameters. Ba
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Basic Soil Mechanics. 2.4.2.4. Impo
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Basic Soil Mechanics. Table 2-3: Em
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Basic Soil Mechanics. 2.4.3.4. Poro
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Basic Soil Mechanics. 3 3 2 l e 3 g
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Basic Soil Mechanics. 46 Friction a
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Basic Soil Mechanics. c tan (2-
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2.4.9. Unconfined Tensile Strength.
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Basic Soil Mechanics. 2.5. Criteria
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Basic Soil Mechanics. increase, to
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Basic Soil Mechanics. Table 2-14: T
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2.6. Soil Mechanical Tests. 2.6.1.
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Basic Soil Mechanics. be regarded a
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2.6.5.1. Consolidated Drained (CD).
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Basic Soil Mechanics. 2.8. The Mohr
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Basic Soil Mechanics. Squaring equa
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Basic Soil Mechanics. 2.9. Active S
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Basic Soil Mechanics.
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Basic Soil Mechanics. 2.10. Passive
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cos sin cos sin 1 1 sin
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Basic Soil Mechanics. 2.11. Summary
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2.12. Shear Strength versus Frictio
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Basic Soil Mechanics. 2.13. Nomencl
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The General Cutting Process. Chapte
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The General Cutting Process. 10. β
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The General Cutting Process. The fo
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The General Cutting Process. W2 si
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The General Cutting Process.
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The General Cutting Process.
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3.6. The Snow Plough Effect. The Ge
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The General Cutting Process. The ve
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3.6.5. The Resulting Cutting Forces
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The General Cutting Process. Q c Pc
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Which Cutting Mechanism for Which K
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4.6. Summary. Which Cutting Mechani
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Chapter 5: Dry Sand Cutting. 5.1. I
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Dry Sand Cutting. The force K1 on t
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Dry Sand Cutting. Horizontal Cuttin
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Dry Sand Cutting. 2 v s i VD F
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Dry Sand Cutting. Horizontal Cuttin
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Dry Sand Cutting. Shear Angle β vs
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Dry Sand Cutting. 5.6. Specific Ene
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5.8. Experiments in Dry Sand. 5.8.1
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Dry Sand Cutting. 5.8.2. Wismer & L
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Chapter 6: Saturated Sand Cutting.
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Saturated Sand Cutting. 2 ci c i F
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Saturated Sand Cutting. the Waterlo
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Saturated Sand Cutting. The normal
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Saturated Sand Cutting. Figure 6-8:
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Saturated Sand Cutting. Figure 6-10
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6.7. The Blade Tip Problem. Saturat
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Saturated Sand Cutting. s2 0.8 L
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Saturated Sand Cutting. However Fig
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Saturated Sand Cutting. S1=L1*(1-I/
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Saturated Sand Cutting. 6.9. Determ
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' h Saturated Sand Cutting.
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Saturated Sand Cutting. α=45° and
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Saturated Sand Cutting. 6.12.1. Spe
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Saturated Sand Cutting. 100.0 SPT v
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Saturated Sand Cutting. 6.12.2. The
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Saturated Sand Cutting. 6.13. Exper
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Saturated Sand Cutting. The tests a
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Saturated Sand Cutting. old laborat
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Saturated Sand Cutting. 6.13.2. Tes
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Saturated Sand Cutting. side effect
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Saturated Sand Cutting. 6.13.7. Com
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Saturated Sand Cutting. which the t
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Saturated Sand Cutting. The dimensi
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Saturated Sand Cutting. 10 Partial
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Saturated Sand Cutting. The equatio
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Saturated Sand Cutting. 0.30 No Cav
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Saturated Sand Cutting. P4 (bar) P3
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Saturated Sand Cutting. 10.0 8.0 Fh
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Saturated Sand Cutting. Preal Real
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Clay Cutting. Chapter 7: Clay Cutti
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Clay Cutting. 7.3. The Influence of
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Clay Cutting. From this equation, s
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Clay Cutting. a material on which a
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Clay Cutting. 7.3.4. The Proposed T
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Clay Cutting. 100 90 Shear Strength
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Clay Cutting. 7.3.6. Abelev & Valen
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Clay Cutting. 2500 The Strain Rate
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Clay Cutting. 7.4. The Flow Type. 7
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Clay Cutting. F s ch i w s ah b
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Clay Cutting. Figure 7-22 shows the
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Clay Cutting. The Horizontal Cuttin
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Clay Cutting. 7.5. The Tear Type. 7
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7.5.3. The Mobilized Shear Strength
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7.5.4. The Resulting Cutting Forces
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Clay Cutting. Vertical Cutting Forc
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Clay Cutting. This gives for the no
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Clay Cutting. Substituting equation
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Clay Cutting. Figure 7-34: The equi
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Clay Cutting. Vertical Cutting Forc
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Clay Cutting. 0.30 Vertical Cutting
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Clay Cutting. 1000 Clay Cutting Esp
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Clay Cutting. Shear Angle β vs. Bl
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Clay Cutting. Horizontal Cutting Fo
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Clay Cutting. 7.9. Nomenclature. a
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Rock Cutting: Atmospheric Condition
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8.2.3. Based on UTS and UCS. Rock C
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8.2.5. Hoek & Brown (1988). Rock Cu
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8.3. Cutting Models. Rock Cutting:
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8.3.5. The Nishimatsu Model. Rock C
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sin Rock Cutting: Atmospheric Cond
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Rock Cutting: Hyperbaric Conditions
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9.8. Specific Energy Graphs. Rock C
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The Occurrence of a Wedge. Chapter
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The Occurrence of a Wedge. 19. A fo
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The Occurrence of a Wedge. h 4 4
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10.3. The Equilibrium of Moments. T
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A Wedge in Dry Sand Cutting. Chapte
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A Wedge in Dry Sand Cutting. The no
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A Wedge in Dry Sand Cutting. Figure
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11.4. Results of some Calculations.
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A Wedge in Dry Sand Cutting. 11.5.
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A Wedge in Dry Sand Cutting. 11.6.
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A Wedge in Saturated Sand Cutting.
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12.4. The Equilibrium of Moments. A
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12.8. Experiments. A Wedge in Satur
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12.10. Nomenclature. A Wedge in Sat
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A Wedge in Clay Cutting. Chapter 13
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A Wedge in Clay Cutting. on the equ
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A Wedge in Clay Cutting. Figure 13-
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A Wedge in Clay Cutting. L3 L7
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A Wedge in Atmospheric Rock Cutting
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14.4. Nomenclature. A Wedge in Atmo
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A Wedge in Hyperbaric Rock Cutting.
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15.4. Nomenclature. A Wedge in Hype
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Exercises. Chapter 16: Exercises. 1
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Exercises. 16.2.8. Calc.: Bulldozer
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Exercises. 16.3. Chapter 3: The Gen
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Exercises. 16.4.5. MC: Hyperbaric R
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Exercises. 16.6. Chapter 6: Water S
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Exercises. 2 2 1 w c i c g v h
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Exercises. F: Determine the pore pr
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Exercises. E sp Fh vc Fh Fh 10
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Exercises. 1,000 Pore Pressures on
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Exercises. A tensile strength of -2
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Exercises. Shear Stress vs. Normal
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Exercises. 70 60 50 40 Shear Stress
Page 451 and 452: Exercises. 16.8.4. Calc.: Cutting F
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Page 461 and 462: Figures & Tables. Chapter 18: Figur
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Page 471 and 472: Figures & Tables. Figure U-2: Speci
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Page 475 and 476: Figures & Tables. 18.3. List of Tab
Page 477 and 478: 18.4. List of Tables in Appendices.
Page 479 and 480: Appendices. Chapter 19: Appendices.
Page 481 and 482: Active & Passive Soil Failure Coeff
Page 483 and 484: Dry Sand Cutting Coefficients. Appe
Page 485 and 486: Dry Sand Cutting Coefficients. B.1.
Page 489 and 490: Dry Sand Cutting Coefficients. B.2
Page 495 and 496: Dry Sand Cutting Coefficients. B.3
Page 497 and 498: Dry Sand Cutting Coefficients. Perc
Page 499 and 500: Dimensionless Pore Pressures p1m &
Page 501: The Shear Angle β Non-Cavitating.
Page 505 and 506: Appendix E: The Coefficient c1. The
Page 507 and 508: The Coefficient c1. Table E-3: c1 f
Page 509 and 510: Appendix F: The Coefficient c2. The
Page 511 and 512: The Coefficient c2. Table F-3: c2 f
Page 513 and 514: Appendix G: The Coefficient a1. The
Page 515 and 516: The Coefficient a1. Table G-3: a1 f
Page 517 and 518: The Shear Angle β Cavitating. Appe
Page 519 and 520: The Shear Angle β Cavitating. Tabl
Page 521 and 522: Appendix I: The Coefficient d1. The
Page 523 and 524: The Coefficient d1. Table I-3: d1 f
Page 525 and 526: Appendix J: The Coefficient d2. The
Page 527 and 528: The Coefficient d2. Table J-3: d2 f
Page 529 and 530: The Properties of the 200 μm Sand.
Page 537 and 538: Experiments in Water Saturated Sand
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Experiments in Water Saturated Sand
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The Snow Plough Effect. Appendix N:
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The Snow Plough Effect. 10.0 8.0 Fh
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The Snow Plough Effect. 20.0 16.0 F
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Specific Energy in Sand. Appendix O
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Specific Energy in Sand. 2500 Speci
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Occurrence of a Wedge, Non-Cavitati
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Occurrence of a Wedge, Non-Cavitati
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Occurrence of a Wedge, Cavitating.
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Occurrence of a Wedge, Cavitating.
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Pore Pressures with Wedge. Appendix
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Pore Pressures with Wedge. Table R-
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Pore Pressures with Wedge. Table R-
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FEM Calculations with Wedge. Append
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FEM Calculations with Wedge. Figure
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S.3 The 75 Degree Blade. FEM Calcul
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Appendix T: Force Triangles. Force
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Force Triangles. Figure T-3: The fo
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Force Triangles. Figure T-5: The fo
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Specific Energy in Clay. Appendix U
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Specific Energy in Clay. 6000 Speci
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Clay Cutting Charts. Appendix V: Cl
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Clay Cutting Charts. The Vertical C
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Clay Cutting Charts. Shear Angle β
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Clay Cutting Charts. V.3 The Curlin
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Rock Cutting Charts. Appendix W: Ro
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Rock Cutting Charts. W.2 The Transi
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Rock Cutting Charts. A & B: Tensile
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Rock Cutting Charts. W.5 Brittle Te
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Rock Cutting Charts. W.6 Brittle Te
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Hyperbaric Rock Cutting Charts. App
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Hyperbaric Rock Cutting Charts. 100
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Hyperbaric Rock Cutting Charts. X.2
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Applications & Equipment. Appendix
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Y.2 Bucket Ladder Dredges. Applicat
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Y.3 Cutter Suction Dredges. Applica
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Applications & Equipment. Figure Y-
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Applications & Equipment. Y.4 Trail
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Y.5 Backhoe Dredges. Applications &
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Y.6 Clamshell Dredges. Applications
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Y.7 Bucket Wheel Dredges. Applicati
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Y.8 Braun Kohle Bergbau. Applicatio
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Y.9 Deep Sea Mining. Applications &
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Y.10 Cable Trenching. Applications
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Y.11 Offshore Pipeline Trenching. A
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Y.12 Dry Trenching. Applications &
Page 697 and 698:
Applications & Equipment. Y.13 PDC
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Applications & Equipment. Y.14 Bull
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Applications & Equipment. Y.15 Dry
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Y.16 Tunnel Boring Machines. Applic
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Publications. Appendix Z: Publicati
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Publications. 52. Miedema, S.A.,
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