Retaining wall stability: If W is the self-weight of the wall and P is the horizontal active earth pressure, what minimum factor of safety against sliding is generally adopted at working loads?

Difficulty: Easy

Correct Answer: 1.5

Explanation:


Introduction / Context:
Sliding resistance of retaining walls is checked by comparing available resisting forces with the driving horizontal earth pressure. Design guides commonly recommend a minimum factor of safety (FS) at service loads.


Given Data / Assumptions:

  • Retaining wall on soil or rock foundation.
  • Service load combinations (working state).
  • FS_sliding = (frictional resistance + passive resistance, if any) / P.


Concept / Approach:

A typical target is FS ≈ 1.5 for sliding under service loads, unless otherwise required by project codes or seismic provisions.


Step-by-Step Solution:

Compute resisting force = μ (W + any vertical surcharge on base) + passive (if mobilized).Compute FS = Resisting / P and check FS ≥ 1.5.


Verification / Alternative check:

Many texts align on 1.5 for sliding and 1.5–2.0 for overturning (varies by standard). Ultimate limit-state methods convert to partial factors instead.


Why Other Options Are Wrong:

1.0 and 1.25 are too low; 2.0–2.5 may be overly conservative for routine static cases unless specified by the client or code.


Common Pitfalls:

Ignoring base key contribution; overestimating passive resistance without proper compaction; neglecting uplift water pressure.


Final Answer:

1.5

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