Geotechnical Engineering

DHARM

BEARING CAPACITY 567

25 20.72 10.66 8.11

30 30.14 18.40 18.08

35 46.13 33.29 40.69

40 95.41 75.32 64.18

45 133.89 134.85 240.85

50 266.89 318.96 681.84

Table 14.5 Brinch Hansen’s shape factors

Type of footing Hansen’s shape factors

sc sq sγ

Continuous (Width b) 1.0 1.0 1.0

Rectangular (b × L) 1 + 0.2

b

L 1 + 0.2

b

L 1 – 0.4

b

L

Square (Size b) 1.3 1.2 0.8

Circular (Diameter b) 1.3 1.2 0.6

Table 14.6 Brinch Hansen’s depth factors

dc dq dγ

1 + 0.35 Df/b 1 + 0.35 Df/b 1.0

dq = dc for φ > 25°

dq = 1.0 for φ = 0°

Table 14.7 Brinch Hansen’s inclination factors

ic iq i

1 –

H

2 cbLa 1 – 0.5

H

V (iq)

2

Limitation: H ≤ V tan δ + ca bL.

where H and V = horizontal and vertical components of total load

δ = angle of friction between base of footing and soil

ca = adhesion between footing and soil

L = length of footing parallel to H

Revised values of inclination factors:

ic = iq =^1

2

−

+

F

HG

I

KJ

H

VAc.cotφ

...(Eq. 14.98)

iγ = iq^2 ...(Eq. 14.99)

But, for φ = 0°, ic = iq = 0.5 + 0.5^1 −

H

Ac

...(Eq. 14.100)