ABSTRACT
Example 20.2 Fig. Ex. 20.2 shows a free standing cantilever sheet pile with no backfill driven into homogeneous sand. The following data are available:
H = 20 ft, P = 3000 lb/ft of wall, r = 115 Ib/ft3, l/J = 36°. Determine: (a) the depth of penetration, D, and (b) the maximum bending moment M
1=? Fig. Ex. 20.2
Solution
1 1K A =-=-=0.26Kp 3.85
K = Kp - KA = 3.85 - 0.26 =3.59 The equation for D is (Eq 20.11) D4 + Cj D2 + C2 D + C3 =0
8P 8x3000 where C1 = - YK = 115 x 3.59 = -58.133
12x 3000 x 20 115x3.59 =-1744
Substituting and simplifying, we have
From the above equation D ~13.5 ft. From Eq. (20.6)
From Eq. (20.12)
3 =3000(20 + 3.81) _ 115 x (3.81) x 3.59
6 = 71,430 - 3,806 = 67,624 lb-ft/ft of wall
M max = 67,624 lb-ft/ft of wall
20.5 DEPTH OF EMBEDMENT OF CANTILEVER WALLS IN COHESIVE SOILS Case 1: When the Backfill is Cohesive Soil The pressure distribution on a sheet pile wall is shown in Fig. 20.10.
