Environmental Engineering Reference
In-Depth Information
The columns of interest are:
- col. 18: variable X, which is the height of the
wall, h.
- col. 23: variable n, which is the horizontal com-
ponent of the force, e
h
.
- col. 24: variable λ, which is the force coeicient
(horizontal component):
==
1
2
2
nE H
λ
- col. 26: variable m, moment with respect to foot
of wall.
- col. 27: variable B, height of force application
point.
- cols. 28 and 29: variables x and y, which deine
the failure line in orthogonal axes.
The final objective is to obtain the laws λ = λ(h),
B = B(h) and y = y(x), as shown in Figures 5, 6,7
and 8.
Hoek-Brown Failure criterion
( = 0;
ψ
= 0)
Hoek-Brown Failure criterion
( = 0;
ψ
= 4º)
α
α
λ
λ
H
H
0,1
0,2
0,3
0,1
0,2
0,3
0,0
0,0
0,5
0,5
Figure 6.
shape of failure line.
1,0
1,0
1,5
1,5
δ
= 0
Hoek-Brown Unitary Pressure
(
α
= 0;
ψ
= 0)
Hoek-Brown Unitary Pressure
2,0
2,0
(
α
= 0;
ψ
= 4º)
δ
= 10
∆
n/
∆
x
∆
n/
∆
x
δ
= 0
δ
= 10
H
H
1,2
1,0
0,8
0,6
0,4
0,2
0,0
1,2
1,0
0,8
0,6
0,4
0,2
0,0
0,0
0,0
2,5
2,5
Adopted
parameters:
GSI = 25
m
o
= 15
σ
c
= 400 kN/m
2
α
= 28
0,5
0,5
3,0
3,0
δ
= 0
1,0
1,0
3,5
3,5
1,5
1,5
4,0
4,0
δ
= 10
δ
= 10
2,0
2,0
δ
= 0
2,5
2,5
Adopted
parameters:
GSI = 25
m
0
= 15
Figure 5a. Values for force coefficient, λ, as a function
of the adimensional wall, h, for α = 0°; ψ = 0° y 4°.
3,0
3,0
3,5
3,5
4,0
4,0
Hoek-Brown Failure criterion
(
α
= 15;
ψ
= 0)
Hoek-Brown Failure criterion
(
α
= 15;
ψ
= 4º)
λ
λ
H
H
Hoek-Brown Unitary Pressure
(
α
= 0;
ψ
= 0)
Hoek-Brown Unitary Pressure
(
α
= 0;
ψ
= 4º)
0,1
0,2
0,3
0,1
0,2
0,3
H
H
0,0
0,0
1,4
1,2
1,0
0,8
0,6
0,4
0,2
0,0
1,4
1,2
1,0
0,8
0,6
0,4
0,2
0,0
0,0
0,0
0,5
0,5
δ
= 10
0,5
0,5
1,0
1,0
δ
= 10
1,0
1,0
1,5
1,5
δ
= 10
δ
= 0
1,5
1,5
δδ
= 10
2,0
2,0
δ
= 0
2,0
δ
= 0
2,0
δδ
= 0
2,5
2,5
2,5
2,5
Adopted
parameters:
GSI = 25
m
0
= 15
3,0
3,0
3,0
3,0
3,5
3,5
3,5
3,5
α
4,0
4,0
4,0
4,0
Figure 7. shape of the unitary earth-pressure for
different hypotheses.
Figure 5b. Values for force coefficient, λ, as a function of
the adimensional wall, h, for α = 15°; ψ = 0° y 4°.
