3.10: Nomenclature
- Page ID
- 33412
a_{1}, a_{2} |
Coefficients for weighted permeability |
- |
a, \(\ \tau_\mathrm{a}\) |
Adhesion or external shear strength |
kPa |
A |
Adhesive force on the blade |
kN |
c, \(\ \tau_\mathrm{c}\) |
Cohesion or internal shear strength |
kPa |
C, C_{1} |
Force due to cohesion in the shear plane |
kN |
C_{2} |
Force due to cohesion on the front of the wedge |
kN |
C_{3} |
Force due to cohesion at the bottom of the wedge |
kN |
F_{h} |
Horizontal cutting force |
kN |
F_{f1} |
Friction force on the shear surface |
kN |
F_{f2} |
Friction force on the blade |
kN |
F_{n1} |
Normal force on the shear surface |
kN |
F_{n2} |
Normal force on the blade |
kN |
F_{v} |
Vertical cutting force |
kN |
F_{d1} |
Deviation force on the shear surface |
kN |
F_{d, d2} |
Deviation force on the blade |
kN |
F_{x1}_{, 2} |
Cutting force in x-direction |
kN |
F_{y1}_{, 2} |
Cutting force in y-direction |
kN |
F_{z1}_{, 2} |
Cutting force in z-direction |
kN |
g |
Gravitational constant (9.81) |
m/s^{2} |
G, G_{1} |
Gravitational force on the layer cut |
kN |
G_{2} |
Gravitational force on the wedge |
kN |
h_{i} |
Initial thickness of layer cut |
m |
h_{b} |
Height of blade |
m |
h_{b,m} |
Effective height of the blade in case Curling Type |
m |
I |
Inertial force on the shear plane |
kN |
k_{i} |
Initial permeability |
m/s |
k_{max} |
Maximum permeability |
m/s |
k_{m} |
Average permeability |
m/s |
K_{1} |
Grain force on the shear plane |
kN |
K_{2} |
Grain force on the blade or the front of the wedge |
kN |
K_{3} |
Grain force on the bottom of the wedge |
kN |
K_{4} |
Grain force on the blade (in case a wedge exists) |
kN |
n_{i} |
Initial porosity |
% |
n_{max} |
Maximum porosity |
% |
N_{1} |
Normal force on the shear plane |
kN |
N_{2} |
Normal force on the blade or the front of the wedge |
kN |
N_{3} |
Normal force on the bottom of the wedge |
kN |
N_{4} |
Normal force on the blade (in case a wedge exists) |
kN |
p_{1m} |
Average pore pressure on the shear surface |
kPa |
p_{2m} |
Average pore pressure on the blade |
kPa |
Pc |
Cutting power |
kW |
R_{1} |
Acting point of resulting forces on the shear plane |
m |
R_{2} |
Acting point of resulting forces on the blade |
m |
R_{3} |
Acting point of resulting forces on the bottom of the wedge |
m |
R_{4} |
Acting point of resulting forces on the blade (in case a wedge exists) |
m |
S_{1} |
Shear force due to friction on the shear plane |
kN |
S_{2} |
Shear force due to friction on the blade or the front of the wedge |
kN |
S_{3} |
Shear force due to friction at the bottom of the wedge |
kN |
S_{4} |
Shear force due to friction on the blade (in case a wedge exists) |
kN |
v_{c} |
Cutting velocity component perpendicular to the blade |
m/s |
v_{d} |
Cutting velocity, drag velocity |
m/s |
v_{r1}_{ } |
Velocity of grains in the shear surface |
m/s |
v_{r2} |
Relative velocity of grains on the blade |
m/s |
v_{d1} |
Deviation velocity of grains in the shear surface |
m/s |
v_{d2} |
Deviation velocity of grains on the blade |
m/s |
v_{x1}_{,2} |
Velocity of grains in the x-direction |
m/s |
v_{y1}_{,2} |
Velocity of grains in the y-direction |
m/s |
v_{z1}_{,2} |
Velocity of grains in the z-direction |
m/s |
W | Width of blade | m |
W_{1} | Force resulting from pore under pressure on the shear plane |
kN |
W_{2} | Force resulting from pore under pressure on the blade/ front wedge |
kN |
W_{3} | Force resulting from pore under pressure on the bottom of the wedge | kN |
W4 | Force resulting from pore under pressures on the blade, wedge | kN |
Z | Water depth | m |
\(\ \alpha\) |
Cutting angle blade |
rad |
β |
Shear angle |
rad |
ε |
Dilatation |
- |
φ |
Angle of internal friction |
rad |
φ_{e} |
Angle of internal friction perpendicular to the cutting edge |
rad |
λ_{s} |
Strengthening factor |
- |
λ_{1} |
Acting point factor for resulting forces on the shear plane |
- |
λ_{2} |
Acting point factor for resulting forces on the blade or front of wedge |
- |
λ_{3} |
Acting point factor for resulting forces on the bottom of the wedge |
- |
λ_{4 } |
Acting point factor for resulting forces on the blade |
- |
δ |
External friction angle |
rad |
δ_{e} |
External friction angle perpendicular to the cutting edge |
rad |
\(\ \iota\) |
Deviation angle blade |
rad |
ρ_{s} |
Density of the soil |
ton/m^{3} |
ρ_{l} |
Density water |
ton/m^{3} |
θ |
Wedge angle |
rad |