The forces acting on a reinforced concrete cantilever retaining wall are shown in Fig. 12. The weight of the stem wall, base, and shear key in pounds per foot length are
The live load surcharge behind the stem and the weight of the fill supported by the heel are
The active earth pressure behind the wall, acting at a height of H/3 above the base, is
where
| P A | = K A ? S = lateral pressure equivalent to a fluid of density P A pounds per cubic foot |
| ? s | = density of fill |
| K A | = Rankine coefficient of active earth pressure = (1 ? sin ?)/(1 + sin ?) |
| ? | = angle of internal friction |
Hence, the equivalent fluid pressure for a fill material with a density of 110 pounds per cubic foot and an angle of internal friction of 35 is
The live load surcharge of w pounds per square foot is equivalent to an additional height of fill which is given by
This produces a uniform pressure over the height of the fill of P L = Hp A The total surcharge pressure, acting at a height of H/2 above the base, is
The frictional force produced at the underside of the base is
where ? = coefficient of friction.
When the frictional force is insufficient to provide an adequate factor of safety against...
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