#154 A retaining wall against a mud slide is

A retaining wall against a mud slide is - Mechanical Engineering

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A retaining wall against a mud slide is to be constructed by placing 0.8-m-high by 0.2-m-wide rectangular concrete blocks (?=2700 kg/m3) side-by-side. The friction coefficient between the ground and the concrete blocks is f = 0.3, and the density of the mud is 1800 kg/m3. Determine the mud height at which (a) the blocks will overcome friction and begin sliding and (b) the blocks will tip over.
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Free Chegg Answer

Assumptions Atmospheric pressure acts on both sides of the wall, and thus it can be ignored in calculations for convenience.
Properties the density is given to be 1800 kg/m3 for the mud and 2700 kg/m3 for concrete blocks.
Analysis (a) The weight of the concrete wall per unit length (L = 1m) and the friction force between the wall and the ground are

(b) The line of action of the hydrostatic forces passes through the pressure center, which is 2h/3 from the free surface. The line of action of the weight of the wall passes through the midplane of the wall. Taking the moment about point A and setting in equal to zero gives