Geoscience Reference
In-Depth Information
Uplift onset prior
to yield (3- <0.5)
Uplift onset after
yield (3- >0.5)
Yield onset after
uplift (4- <0.5)
Yield onset prior
to uplift (4- >0.5)
p
u
p
u
p
u
0.25
(1)
0.2
0.15
(2)
(d)
0.1
(3)
(b)
(c)
0.05
(4)
(a)
0
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
N: N
u
Elastic,
full-contact
Elastic,
uplift
Yield,
full-contact
Yield,
uplift
(a)
(b)
(c)
(d)
M
u
,
rigid
N
u
B
M
u
N
u
B
χ
∴=
2
χ
(1)
∴
=
2
(2)
(
1
−
c
)
χ
χ
,
c
≤
0.5
(
3
−
4
c
)
,
c
≤
0.5
6
6
M
y
N
u
B
M
uplift
N
u
B
∴=
∴
=
(4)
(3)
1
6
21
,
36
(
1
−
c
)
,
c
≤
0.5
(
1
−
c
)
χ
−
c
≤
0.5
Fig. 9.13. Interaction curves in thenormalised N-M plane for bearing
capacity failureon rigid(1) or deformable (2)soil.Decomposition of upliftingand
soil-yielding mechanisms
plots and gives the analytical expressions of the interaction ultimate curve, as well as its
decomposition into
uplift only
and
soil-yield only
curves, in the form
Mu
/
NuB
=
f
(
χ
)
in which
χ =
N
/
N
u
, and B
=
2b is the width of the rocking foundation. Notice the
symmetric response about
χ =
0
.
5; for this value of
χ
the largest possible overturning
moment,
max
(
M
u
)
=
0
.
125N
u
B
=
1
/
4N
u
b
