Bearing Capacity and Shallow Foundations - Elements of Soil Mechanics - page 283

V e H x × = × ( V ≡ F )

d H d

H x
V

× 150 3

1936 2

× d H

e = = = 0 232 . m acts within middle third ( )

.

B ′ = − × = B 2 e 3 0 2 0 232 . − × . = 2 535 . m

⇒ ′ = ′× = A B L 2 535 3 0 . × . = 7 606 . m

2

From EN 1994-1: 2004 , Annex D:

′

=

φ

N q = e π

⋅ tan φ ′

tan

2

45 18 4 .

+

2

N 2

(

N q 1

)

tan ′ = 20 1 .

= − φ

γ d

′

B
L
B
L

2 +

m =

′ =

1 542 .

1 +

m

1 542 .

H
V A c

150 0
1936 2

.

i 1 1 0 . 88 ( V F d )

= − = − = =

q

+ ′

′ ′

cot φ . + 0

m
m

1

+

i i q 0 88 .

2 542 1 542 . / .

0 81 .

γ = = =

′

B
L

s 1 sin ′ = 1 42 .

q = + φ

′

B
L

=

s

γ = −

1 0 3 . 0 75 .

Foundation base horizontal, ⇒ b q = b γ = 1.0
(v) Bearing resistance:

′ = ′

+ ′

′

R/A c N b s i q N b s i + 0 . γ B N b s i

c c c c q q q q γ γ γ γ

R k = 7 606 . [ 0 ( 18 4 18 4 1 0 1 42 0 88 . . . . . ) ( 0 5 . ( 19 9 81 . )

× + × × × × + × −

× 2 535 . × 20 1 1 0 0 75 0 81 . × × . . × . )] = 4313 kN

R 4313

1 4

k
Rv

R = = = 3081 kN

d

γ .

From the results it is seen that the GEO limit state is satisfied since the design
bearing resistance (3081 kN) is greater than the design effects of actions (1936 KN).

R
F

3081
1936

d
d

Over-design factor , Γ = = = 1 59 .