Strona 2_redak - Instytut Agrofizyki im. Bohdana DobrzaÅskiego ...

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68 a) b) µ = tg ϕw ϕ w c) d) e) f) ) Fig. 9.1. Apparatuses used for determination of coefficient of friction of granular materials against construction material [107]
69 Fig. 9.2. Apparatus for measuring wall friction and typical shear-displacement curves [50] The procedure is as follows: 1. The reference stress 1 r should be taken as the largest horizontal silo pressure p h . 2. The sample should be poured into the test cell, without vibration or other compacting forces, and the consolidation stress 1 r applied. A top plate should be rotated clockwise and anticlockwise about the vertical axis several t<strong>im</strong>es through an angle of at least 10 degrees to consolidate the sample. 3. After filling the cell and before shearing, the cell should be rotated and lifted slightly of the test surface, so that only friction between the particles and surface is measured. 4. Shearing of the sample should be carried out at a constant rate of approx<strong>im</strong>ately 0.04 mm s -1 . 5. The residual friction force F r (see figure 9.2), attained at large deformations, should be used in the calculation of the coefficient of wall friction for action calculations. 6. The sample value of the coefficient of wall friction for action calculations should be determined as: Fr = , (9.3) N where: F r is the final or residual value of the shear force (figure 9.2) N is the applied vertical load on the cell. While testing for this study five levels of normal pressure 1 r were applied of: 20, 30, 40, 50 and 60 kPa, shear velocity was set at 0.35 mm s -1 . The angle of wall friction for the evaluation of flow assessment have been determined following the tilting table method (fig. 9.1 a). The sample of grain confined with the square frame (20x20 cm) was loaded in the range of 0.5-2.5 kPa and tilting angle at initiation of the sample sliding was registered.
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EC Centre of Excellence AGROPHYSICS
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4 9.3. Factors influencing the coef
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6 BASIC NOTATION c - cohesion [kPa]
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8 Numerous granular materials when
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10 the tensor of plastic strain inc
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12 Fig. 2.1. Yield curves with comp
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14 Stable or unstable behaviour of
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16 In turn, the model of Lade, also
Page 18 and 19: 18 same porosity need not have iden
Page 20 and 21: 20 where: A = ∫ E( β) sin βdβ
Page 22 and 23: 22 (β = 0 o ), positioning the out
Page 24 and 25: 24 grain was poured into the mould
Page 26 and 27: 26 axes of the ellipse characterizi
Page 28 and 29: 28 [176] for the determination of p
Page 30 and 31: 30 A different approach to the desc
Page 32 and 33: 32 where: I - moment of inertia, k
Page 34 and 35: 34 a) b) f s f s m M f n f n Contac
Page 36 and 37: 36 The micropolar model yields resu
Page 38 and 39: 38 Fig. 3.17. Model of shear band f
Page 40 and 41: 40 In the case of agricultural mate
Page 42 and 43: 42 5.2. Density of consolidated mat
Page 44 and 45: 44 (cereal grain, sand, soil), the
Page 46 and 47: 46 Multiple wetting and drying of g
Page 48 and 49: 48 vertical pressure within the ran
Page 50 and 51: 50 of the curve defined by A, where
Page 52 and 53: 52 6. Vertical consolidation refere
Page 54 and 55: 54 poured into the box without vibr
Page 56 and 57: 56 7.2.2. Bulk density Stress-strai
Page 58 and 59: 58 near the box wall and lifted alo
Page 60 and 61: 60 and the upper boundary was 18.5
Page 62 and 63: 62 A -1 5 -1 0 -5 1 0 5 -5 5 1 0 1
Page 64 and 65: 64 Fig. 8.2. Yield locus and effect
Page 66 and 67: 66 in such a way that friction woul
Page 70 and 71: 70 9.3. Factors influencing the coe
Page 72 and 73: 72 galvanized steel received from d
Page 74 and 75: 74 9.3.4. Velocity of sliding Becau
Page 76 and 77: 76 1+ sinϕ k = . 1 − sinϕ (10.3
Page 78 and 79: 78 N ϕ VLQϕ 3UHVVXUHUDWLRN
Page 80 and 81: 80 10.4.1. Friction force mobilizat
Page 82 and 83: 82 10.4.3. Moisture content With in
Page 84 and 85: 84 Table 10.1. Measured (k s ) and
Page 86 and 87: 86 conventional engineering analyse
Page 88 and 89: 88 a, b - product-dependent coeffic
Page 90 and 91: 90 also be performed as a function
Page 92 and 93: 92 reliable processing and stable v
Page 94 and 95: 94 unconfined yield strength to pow
Page 96 and 97: 96 The Chute Index (CI) is recommen
Page 98 and 99: 98 obtained the maximum deviation o
Page 100 and 101: 100 efficient flow control using op
Page 102 and 103: 102 In the field of experimental in
Page 104 and 105: 104 22. Britton M.G., Moysey E.B.:
Page 106 and 107: 106 69. Horabik J., Rusinek R.: Pre
Page 108 and 109: 108 114. Morland L.W., Sawicki A.,
Page 110 and 111: 110 158. 6WSQLHZVNL$ Influence of m
Page 112 and 113: 112 16. APPENDIX - Physical Propert
Page 114 and 115: 114 16.2. Density and porosity Tabl
Page 116 and 117: 116 Table 16.7. Mean values (±St.
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118 Table 16.9. Mean values (±St.
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126 Table 16.16. Cont. 1 2 3 4 Icin
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136 Table 16.25. Cont. 1 2 3 4 Icin
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140 Table 16.29. Cont. Table sugar
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144 Table 16.35. Mean values (± St
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