Civil Engineering Reference
In-Depth Information
that is, E
d
=
12.3 kPa.
′
tan
φ
tan
.
30
1 25
°
=
=
′
=
−
1
−
1
φ
tan
tan
24.8
°
d
γ
φ
′
′
Design resisting force per unit area R
,
= × ×
γ
z
cos
β
×
tan
φ
d
d
=
18
× ×
2
cos
20
°×
tan
24 8
.
°
=
15 6
.
kPa
Once again, the limit state requirement is satisfied since E
d
≤
R
d
.
Exercises
Exercise 13.1
A proposed cutting is to have the dimensions shown in Fig.
13.31.
The soil has the
following properties:
φ
′
=
15°, c
′
=
13.5 kPa,
γ
=
19.3 kN/m
3
.
Determine the factor of safety against slipping for the slip circle shown (i) ignoring
tension cracks and (ii) allowing for a tension crack.
Answer
(i) 1.7, (ii) 1.6
Fig. 13.31
Exercise 13.1.
Exercise 13.2
Investigate the stability of the embankment shown in Fig.
13.32.
The embankment
consists of granular fill placed upon a deep deposit of clay. Both soils have a bulk
