Retaining Wall

1 2

DESIGN OFCANTILEVER RETAINING WALL

3 4 5

Wall Geometry (See Fig. 8.2(b))

6

Wall Height, H =

20.8

7

Stem Top Width, W =

1.5

8

Backfill Angle, a =

10.0

9

Depth, D =

4.0

10

Base Thickness, BT =

2.8

11

Toe Length, TL =

4.0

12

Stem Bottom Width, W' =

2.5

13

Heel Length, HL =

6.0

15

Back Height, H' =

21.8

16

Base Width, B =

12.5

14

17

W

18

a

19 20 21 22

H

23 24 25 26

TL

27

HL W'

BT

28 29 30

Material Properties

31

Active Backfill g =

117.00

32

Heel cover g =

117.00

For f > 0,

33

Passive backfill g =

107.00

Cell K11 = 1

34

Concrete g =

35

q=

36

a or (q + d) =

150.00

For f = 0,

0.00 Cell K11 = 0.5

37 Active

10.00 Ka =

38

0.294

c =

39 Passive 40

0.00

Kp =

0.00

c =

900.0

41

k1 =

0.67

42

k2 =

0.67

43

Results

44

Factor of Safety - Sliding =

1.59

45

Factor of Safety - O.T. =

3.48

46

Bearing Capacity

1.0

47 48

F.S = 4.21

49 eccentricity =

0.45

(Is e< B/6?)

50

q toe =

2428.68

B' =

51

q heel =

1568.76

11.604

Width

Height

Gamma

V

54 (1) Backfill

6

18.0

117.0

55 (2) Backfill

6

1.06

56 (3) Stem

1.5

57 (4) Stem 58 (5) Base

52 53 Item

59

Pa =

H(R)

arm

M(R)

12636.00

9.50

120042.0

117.0

371.34

10.50

3899.1

18.0

150

4050.00

5.75

23287.5

1

18.0

150

1350.00

4.67

6300.0

12.5

2.75

150

5156.25

6.25

32226.6

2.00

0.0

8179.62

60 Ph = Pa cos(a)

8055.36

61 Pv = Pa sin(a)

1420.38

62 Pp

M(O)

58557 17754.7

0.0 7503.75

64 Friction at the base

5313.24

66 Normal force on base (N)

7.27 12.50

63 Cohesion at the base

65

H(O)

SUM

24983.97 24983.97

12816.99

8055.36

203510 5.80

58557

67 68 Resultant Active Earth Force on a Wall -- Coulomb and Rankine Method 69 70 Wooksheet Name: Active 71 Reference: Das, Fundamentals of Geotechnical Engineering 72 g =

117.00

73 H' =

21.81

deg

rad

f=

34.00

0.5934

d=

0.00

0.0000

76 Backfill angle (0 horiz)

a=

10.00

0.1745

77 Wall inclination (0 = vert)

q=

0.00

0.0000

74 Friction angle 75 Wall friction angle

78 79

deg

rad

function

80

phi - theta =

34.00

0.5934

0.6873

81

delta + theta =

0.00

0.0000

1.0000

82

delta + phi =

34.00

0.5934

0.5592

83

phi - alpha =

24.00

0.4189

0.4067

84

delta + theta =

0.00

0.0000

1.0000

85

theta - alpha =

-10.00

-0.1745

0.9848

86 87

Coulomb Ka = 0.314

Pa = 8723.1

Pa cos(q+d) =

8590.6

88

Rankine Ka = 0.294

Pa = 8190.0

Pa (cosa) =

8065.6