Question

A retaining wall is 5m long (into the plane of the paper), and it is supported by an anchor rod. The soil it supports has a weight density of 1.4 metric tonnes per cubic metre and K = 0.25. what is the greatest horizontal pressure the retained soil generates on the wall

Answer 1

Knowing that the greatest horizontal pressure is the pressure made by the material on the wall -considering for that the total height of the wall-, then P = 4.375 t/m

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Available data:

• The wall is 5m long into the plane   ⇒  H

• The soil density is 1.4 metric tonnes per cubic metre  ⇒ γ

• K = 0.25  ⇒  Coefficient of earth pressure. Depends on the angle.

From this information, we need to calculate the greatest horizontal pressure.

Horizontal pressure refers to the force made by the supported soil on the retaining wall that tends to deflect the wall outward.

We can calculate horizontal pressure at different heights from the top. And since we need to calculate the greatest horizontal pressure, we need to consider the total height that equals the wall height, H.  

To do it, we will use the following formula, and replace the terms.

P  = [ k   γ H² ] / 2

P = [ 0.25 x 1.4 t/m³ x 5m² ] / 2

P = 8.75/2

P = 4.375 t/m          

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