Geotechnical Engineering

(Jeff_L) #1
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)
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