The backfill behind a retaining wall, located above the water table, consists of

Question

The backfill behind a retaining wall, located above the water table, consists of a sand of unit weight 17 kN/m3. The height of the wall is 6m and the surface of the backfill is horizontal. Determine the total active thrust on the wall according to the Rankine theory if c0 ¼ 0 and 0 ¼ 37. If the wall is prevented from yielding, what is the approximate value of the thrust on the wall? The backfill behind a retaining wall, located above the water table, consists of a sand of unit weight 17 kN/m3. The height of the wall is 6m and the surface of the backfill is horizontal. Determine the total active thrust on the wall according to the Rankine theory if c0 ¼ 0 and 0 ¼ 37. If the wall is prevented from yielding, what is the approximate value of the thrust on the wall? The backfill behind a retaining wall, located above the water table, consists of a sand of unit weight 17 kN/m3. The height of the wall is 6m and the surface of the backfill is horizontal. Determine the total active thrust on the wall according to the Rankine theory if c0 ¼ 0 and 0 ¼ 37. If the wall is prevented from yielding, what is the approximate value of the thrust on the wall?

Explanation / Answer

For

0 ¼ 37 the active pressure coefficient is given by

Ka ¼

1 sin 37

1 þ sin 37 ¼ 0:25

The total active thrust (Equation 6.6a with c0 ¼ 0) is

Pa ¼

1

2

KaH2 ¼

1

2 0:25 17 62 ¼ 76:5kN=m

If the wall is prevented from yielding, the at-rest condition applies. The approximate

value of the coefficient of earth pressure at-rest is given byEquation 6.15a

K0 ¼ 1 sin

0 ¼ 1 sin 37 ¼ 0:40

and the thrust on the wall is

P0 ¼

1

2

K0H2 ¼

1

2 0:40 17 62 ¼ 122kN=m

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