3.10: Nomenclature
- Page ID
- 33412
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a1, a2 |
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, C1 |
Force due to cohesion in the shear plane |
kN |
|
C2 |
Force due to cohesion on the front of the wedge |
kN |
|
C3 |
Force due to cohesion at the bottom of the wedge |
kN |
|
Fh |
Horizontal cutting force |
kN |
|
Ff1 |
Friction force on the shear surface |
kN |
|
Ff2 |
Friction force on the blade |
kN |
|
Fn1 |
Normal force on the shear surface |
kN |
|
Fn2 |
Normal force on the blade |
kN |
|
Fv |
Vertical cutting force |
kN |
|
Fd1 |
Deviation force on the shear surface |
kN |
|
Fd, d2 |
Deviation force on the blade |
kN |
|
Fx1, 2 |
Cutting force in x-direction |
kN |
|
Fy1, 2 |
Cutting force in y-direction |
kN |
|
Fz1, 2 |
Cutting force in z-direction |
kN |
|
g |
Gravitational constant (9.81) |
m/s2 |
|
G, G1 |
Gravitational force on the layer cut |
kN |
|
G2 |
Gravitational force on the wedge |
kN |
|
hi |
Initial thickness of layer cut |
m |
|
hb |
Height of blade |
m |
|
hb,m |
Effective height of the blade in case Curling Type |
m |
|
I |
Inertial force on the shear plane |
kN |
|
ki |
Initial permeability |
m/s |
|
kmax |
Maximum permeability |
m/s |
|
km |
Average permeability |
m/s |
|
K1 |
Grain force on the shear plane |
kN |
|
K2 |
Grain force on the blade or the front of the wedge |
kN |
|
K3 |
Grain force on the bottom of the wedge |
kN |
|
K4 |
Grain force on the blade (in case a wedge exists) |
kN |
|
ni |
Initial porosity |
% |
|
nmax |
Maximum porosity |
% |
|
N1 |
Normal force on the shear plane |
kN |
|
N2 |
Normal force on the blade or the front of the wedge |
kN |
|
N3 |
Normal force on the bottom of the wedge |
kN |
|
N4 |
Normal force on the blade (in case a wedge exists) |
kN |
|
p1m |
Average pore pressure on the shear surface |
kPa |
|
p2m |
Average pore pressure on the blade |
kPa |
|
Pc |
Cutting power |
kW |
|
R1 |
Acting point of resulting forces on the shear plane |
m |
|
R2 |
Acting point of resulting forces on the blade |
m |
|
R3 |
Acting point of resulting forces on the bottom of the wedge |
m |
|
R4 |
Acting point of resulting forces on the blade (in case a wedge exists) |
m |
|
S1 |
Shear force due to friction on the shear plane |
kN |
|
S2 |
Shear force due to friction on the blade or the front of the wedge |
kN |
|
S3 |
Shear force due to friction at the bottom of the wedge |
kN |
|
S4 |
Shear force due to friction on the blade (in case a wedge exists) |
kN |
|
vc |
Cutting velocity component perpendicular to the blade |
m/s |
|
vd |
Cutting velocity, drag velocity |
m/s |
|
vr1 |
Velocity of grains in the shear surface |
m/s |
|
vr2 |
Relative velocity of grains on the blade |
m/s |
|
vd1 |
Deviation velocity of grains in the shear surface |
m/s |
|
vd2 |
Deviation velocity of grains on the blade |
m/s |
|
vx1,2 |
Velocity of grains in the x-direction |
m/s |
|
vy1,2 |
Velocity of grains in the y-direction |
m/s |
|
vz1,2 |
Velocity of grains in the z-direction |
m/s |
| W | Width of blade | m |
| W1 | Force resulting from pore under pressure on the shear plane |
kN |
| W2 | Force resulting from pore under pressure on the blade/ front wedge |
kN |
| W3 | 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 |
| φe |
Angle of internal friction perpendicular to the cutting edge |
rad |
|
λs |
Strengthening factor |
- |
|
λ1 |
Acting point factor for resulting forces on the shear plane |
- |
|
λ2 |
Acting point factor for resulting forces on the blade or front of wedge |
- |
|
λ3 |
Acting point factor for resulting forces on the bottom of the wedge |
- |
|
λ4 |
Acting point factor for resulting forces on the blade |
- |
| δ |
External friction angle |
rad |
| δe |
External friction angle perpendicular to the cutting edge |
rad |
| \(\ \iota\) |
Deviation angle blade |
rad |
|
ρs |
Density of the soil |
ton/m3 |
|
ρl |
Density water |
ton/m3 |
|
θ |
Wedge angle |
rad |