DHARM
STRESS DISTRIBUTION IN SOIL 363
σx and τxz may be also derived and shown to be:
σx =
(^222)
π
..cos.sinq θθ
z
′
...(Eq. 10.21)
and τxz =
(^22)
π
..cos.sinθθ
q
z
′
...(Eq. 10.22)
If the point A is situated vertically below the line load, at a depth z, we have x = 0, and
hence the vertical stress is then given by:
σz =
2
π
.q
z
′
...(Eq. 10.23)
10.4 Strip Load
Let a uniform load of intensity q per unit area be acting on a strip of infinite length and a
constant width B (= 2b) as shown in Fig. 10.9.
x
z
B=2b
q
q 2
q 0
q
q 1
dq
x
z
y
dx
A
(a)
B=2b
x
A
q
z
q^0
/2
q^0
/2
B=2b
d
x
c
e
s
A
q 0
z
q/unit area
s 3
f
z
(b) (c)
Fig. 10.9 Strip load of infinite length acting at the surface of a semi-infinite
elastic soil medium (After Terzaghi, 1943)