Question

A 10 -m-high gravity-type retaining wall is required to support a clay backfill having a level surface (where $\gamma$ cquals $17 \mathrm{kN}^3{ }^3$ and the cohesion equals $45 \mathrm{kN} / \mathrm{cm}^2$. Referriag to Figure 17 , compare the total lateral force resulting from the retained soil, for: (a) the theoretical active pressure condition (b) the modified active pressure distribution recommended for short-term design (c) the pressure distribution recommended for permanent retaining wall design

   A 10 -m-high gravity-type retaining wall is required to support a clay backfill having a level surface (where $\gamma$ cquals $17 \mathrm{kN}^3{ }^3$ and the cohesion equals $45 \mathrm{kN} / \mathrm{cm}^2$. Referriag to Figure 17 , compare the total lateral force resulting from the retained soil, for:
(a) the theoretical active pressure condition
(b) the modified active pressure distribution recommended for short-term design
(c) the pressure distribution recommended for permanent retaining wall design
Show more…
Essentials of soil mechanics and foundations : basic geotechnics
Essentials of soil mechanics and foundations : basic geotechnics
David F. McCarthy 7th Edition
Chapter 17, Problem 9 ↓

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The given parameters are: - Height of the wall, \( H = 10 \, \text{m} \) - Unit weight of the clay, \( \gamma = 17 \, \text{kN/m}^3 \) - Cohesion of the clay, \( c = 45 \, \text{kN/m}^2 \) We need to calculate the lateral force for: (a) Theoretical active  Show more…

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A 10 -m-high gravity-type retaining wall is required to support a clay backfill having a level surface (where $\gamma$ cquals $17 \mathrm{kN}^3{ }^3$ and the cohesion equals $45 \mathrm{kN} / \mathrm{cm}^2$. Referriag to Figure 17 , compare the total lateral force resulting from the retained soil, for: (a) the theoretical active pressure condition (b) the modified active pressure distribution recommended for short-term design (c) the pressure distribution recommended for permanent retaining wall design
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Key Concepts

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Lateral Earth Pressure
Lateral earth pressure refers to the force exerted by soil on a retaining structure, such as a wall. This pressure arises from the weight of the soil and its tendency to move or deform, and it acts horizontally against the wall. Understanding the distribution and magnitude of this pressure is fundamental for designing structures that can safely resist the forces imposed by the soil mass.
Active Earth Pressure Condition
The active earth pressure condition is a theoretical concept where the soil has deformed sufficiently to reach a state in which its shear strength is fully mobilized against the retaining structure. This condition, often derived from classical soil mechanics theories, represents the minimum lateral pressure that the soil can exert when allowed to 'relax' and is critical when calculating forces for design purposes.
Modified Active Pressure Distribution for Short-Term Design
The modified active pressure distribution for short-term design introduces adjustments to the theoretical active pressure to account for the realities of construction and short-term loading effects. Such modifications recognize that immediate conditions may not allow the soil to fully mobilize its theoretical active strength, resulting in a slightly altered pressure profile that must be considered for preliminary or temporary design evaluations.
Permanent Retaining Wall Design Pressure Distribution
In permanent retaining wall design, the pressure distribution is adjusted to reflect long-term conditions, including effects such as soil consolidation, creep, and changes in water content. This design approach takes into account that the soil-structure interaction evolves over time, requiring a more conservative or tailored pressure distribution to ensure durability and stability of the retaining structure over its entire lifespan.
Soil Properties in Retaining Wall Design
Key soil properties such as unit weight and cohesion directly influence the magnitude and distribution of lateral pressures acting on a retaining wall. The unit weight represents the density of the soil, while cohesion accounts for the interparticle bonding that contributes to shear strength. Accurate estimation of these parameters is essential for reliable design and analysis of retaining systems, as they dictate the potential for soil movement and resistance against sliding or overturning failures.

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11-1. Find the active lateral force/unit of width and the point of application for a retaining wall with the following data: ̳ = 17.30 kN/m3; ̳ = 36"; c = 0 kPa; H = 5.10 m; ̳ = 20". a. Using the Coulomb equation and ̳ = 0" b. For backfill slope ̳ = 10" c. For backfill slope ̳ = -10" Answer: (a) Pa = 58.5 kN/m at 1.7 m above base (b) Pa = 64.3 kN/m (c) Pa = 53.8 kN/m 11-2. Do Prob. 11-1 using the Rankine equations for active earth pressure. Answer: (a) Pa = 58.4 kN/m; (b) = (c) Pa = 60.6 kN/m; all act at H/3 above the wall base.

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