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

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The Delft Sand, Clay & Rock Cutting Model. Table H-2: β for hb/hi=2, cavitating. hb/hi=2 32 º 37 º 42 º 47 º 52 º 15 º 28.724 29.560 29.957 29.994 29.733 18 º 26.332 27.162 27.586 27.670 27.472 15 º 21 º 24.420 25.221 25.643 25.747 25.582 24 º 22.849 23.608 24.014 24.120 23.968 27 º 21.528 22.240 22.621 22.716 22.566 30 º 20.396 21.059 21.407 21.485 21.329 15 º 33.398 33.367 32.937 32.198 31.215 18 º 30.972 31.019 30.677 30.027 29.134 30 º 21 º 28.922 29.011 28.721 28.131 27.299 24 º 27.161 27.265 27.004 26.451 25.659 27 º 25.622 25.725 25.476 24.944 24.177 30 º 24.259 24.349 24.101 23.576 22.823 15 º 32.378 31.721 30.741 29.516 28.100 18 º 30.207 29.642 28.751 27.610 26.271 45 º 21 º 28.308 27.801 26.970 25.887 24.605 24 º 26.624 26.149 25.357 24.314 23.070 27 º 25.110 24.652 23.881 22.862 21.643 30 º 23.736 23.280 22.518 21.512 20.306 15 º 28.906 27.806 26.445 24.886 23.174 18 º 26.993 25.974 24.686 23.194 21.540 60 º 21 º 25.276 24.309 23.072 21.626 20.014 24 º 23.716 22.781 21.576 20.159 18.574 27 º 22.283 21.364 20.176 18.776 17.204 30 º 20.955 20.038 18.855 17.461 15.892 The shear angle as a function of the blade angle , the angle of internal friction , the soil/interface friction angle , for the cavitating cutting process, for hb/hi=2. Page H-38 of 228 TOC Copyright @Dr.ir. S.A. Miedema
The Shear Angle β Cavitating. Table H-3: β for hb/hi=3, cavitating. hb/hi=3 32 º 37 º 42 º 47 º 52 º 15 º 24.046 25.019 25.609 25.872 25.856 18 º 21.976 22.900 23.476 23.751 23.765 15 º 21 º 20.350 21.217 21.763 22.030 22.053 24 º 19.031 19.838 20.348 20.596 20.615 27 º 17.932 18.680 19.150 19.374 19.381 30 º 16.996 17.687 18.117 18.313 18.303 15 º 29.286 29.575 29.466 29.038 28.353 18 º 26.992 27.319 27.267 26.908 26.297 30 º 21 º 25.100 25.435 25.410 25.090 24.525 24 º 23.504 23.828 23.811 23.511 22.973 27 º 22.130 22.433 22.410 22.116 21.592 30 º 20.928 21.202 21.165 20.867 20.346 15 º 29.236 28.919 28.257 27.325 26.179 18 º 27.101 26.853 26.266 25.411 24.339 45 º 21 º 25.277 25.065 24.524 23.719 22.699 24 º 23.690 23.493 22.977 22.203 21.215 27 º 22.288 22.091 21.584 20.825 19.857 30 º 21.031 20.823 20.315 19.561 18.600 15 º 26.619 25.832 24.754 23.450 21.967 18 º 24.711 23.995 22.987 21.750 20.329 60 º 21 º 23.037 22.362 21.398 20.206 18.826 24 º 21.543 20.889 19.951 18.785 17.431 27 º 20.193 19.545 18.617 17.464 16.121 30 º 18.958 18.303 17.374 16.222 14.880 The shear angle as a function of the blade angle , the angle of internal friction , the soil/interface friction angle , for the cavitating cutting process, for hb/hi=3. Copyright © Dr.ir. S.A. Miedema TOC Page H-39 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
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Exercises. 16.8.4. Calc.: Cutting F
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Exercises. 16.8.5. Calc.: Cutting F
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Exercises. 16.9. Chapter 9: Hyperba
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Bibliography. Chapter 17: Bibliogra
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Bibliography. Miedema, S. (1989, De
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Figures & Tables. Chapter 18: Figur
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Figures & Tables. Figure 5-20: The
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Figures & Tables. Figure 8-5: Const
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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 and 502: The Shear Angle β Non-Cavitating.
Page 503 and 504: 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: The Shear Angle β Cavitating. Appe
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
Page 559 and 560: The Snow Plough Effect. Appendix N:
Page 561 and 562: The Snow Plough Effect. 10.0 8.0 Fh
Page 567 and 568: The Snow Plough Effect. 20.0 16.0 F
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The Snow Plough Effect. 12.0 9.6 Fh
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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 &
Page 689 and 690:
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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
Page 705 and 706:
Publications. Appendix Z: Publicati
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Publications. 52. Miedema, S.A.,
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