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A retaining wall of height H with smooth vertical backface supports a backfill inclined at an angle β with the horizontal. The backfill consists of cohesionless soil having an angle of internal friction ϕ. If the active lateral thrust acting on the wall is Pa, which one of the following statements is TRUE?
  • a)
    Pa acts at a height H/3 from the base of the wall and at an angle β with the horizontal
  • b)
    Pa acts at a height H/3 from the base of the wall and at an angle ϕ with the horizontal
  • c)
    Pa acts at a height H/2 from the base of the wall and at an angle β with the horizontal 
  • d)
    Pa acts at a height H/2 from the base of the wall and at an angle ϕ with the horizontal 
Correct answer is option 'A'. Can you explain this answer?
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A retaining wall of height H with smooth vertical backface supports a ...

For the retaining with supporting backfill of cohesionless soil having an angle of internal friction ϕ and inclined at an angle β with the horizontal. Active Earth Pressure (Pa) acts at a height H/3 from the base of the wall and at an angle β with the horizontal
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A retaining wall of height H with smooth vertical backface supports a ...
Understanding the Retaining Wall and Active Thrust
When dealing with a retaining wall that supports an inclined backfill of cohesionless soil, it is essential to analyze the behavior of lateral earth pressures. The active lateral thrust, denoted as Pa, is a crucial element in this analysis.
Active Lateral Thrust (Pa)
- The active lateral thrust, Pa, is generated due to the weight of the backfill soil and its inclination at an angle β.
- This thrust acts to push the wall outward and is influenced by the soil's angle of internal friction.
Point of Application
- The point of application of the active thrust is a key aspect of retaining wall design.
- For inclined backfill, the resultant active thrust typically acts at a height of H/3 from the base of the wall. This is derived from the geometry of the pressure distribution.
Direction of the Thrust
- The direction of the active thrust, Pa, acts at an angle β with the horizontal.
- This angle corresponds to the inclination of the backfill and is critical in determining the overall stability of the wall.
Conclusion
Based on the analysis of the active thrust on a retaining wall with a smooth vertical face supporting an inclined backfill, the correct statement is:
- Pa acts at a height H/3 from the base of the wall and at an angle β with the horizontal.
This understanding is fundamental for ensuring the stability and design of retaining structures in civil engineering.
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A retaining wall of height H with smooth vertical backface supports a backfill inclined at an angle β with the horizontal. The backfill consists of cohesionless soil having an angle of internal friction ϕ. If the active lateral thrust acting on the wall is Pa, which one of the following statements is TRUE?a)Paacts at a height H/3 from the base of the wall and at an angle β with the horizontalb)Paacts at a height H/3 from the base of the wall and at an angle ϕ with the horizontalc)Paacts at a height H/2 from the base of the wall and at an angle β with the horizontald)Paacts at a height H/2 from the base of the wall and at an angle ϕ with the horizontalCorrect answer is option 'A'. Can you explain this answer?
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A retaining wall of height H with smooth vertical backface supports a backfill inclined at an angle β with the horizontal. The backfill consists of cohesionless soil having an angle of internal friction ϕ. If the active lateral thrust acting on the wall is Pa, which one of the following statements is TRUE?a)Paacts at a height H/3 from the base of the wall and at an angle β with the horizontalb)Paacts at a height H/3 from the base of the wall and at an angle ϕ with the horizontalc)Paacts at a height H/2 from the base of the wall and at an angle β with the horizontald)Paacts at a height H/2 from the base of the wall and at an angle ϕ with the horizontalCorrect answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A retaining wall of height H with smooth vertical backface supports a backfill inclined at an angle β with the horizontal. The backfill consists of cohesionless soil having an angle of internal friction ϕ. If the active lateral thrust acting on the wall is Pa, which one of the following statements is TRUE?a)Paacts at a height H/3 from the base of the wall and at an angle β with the horizontalb)Paacts at a height H/3 from the base of the wall and at an angle ϕ with the horizontalc)Paacts at a height H/2 from the base of the wall and at an angle β with the horizontald)Paacts at a height H/2 from the base of the wall and at an angle ϕ with the horizontalCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A retaining wall of height H with smooth vertical backface supports a backfill inclined at an angle β with the horizontal. The backfill consists of cohesionless soil having an angle of internal friction ϕ. If the active lateral thrust acting on the wall is Pa, which one of the following statements is TRUE?a)Paacts at a height H/3 from the base of the wall and at an angle β with the horizontalb)Paacts at a height H/3 from the base of the wall and at an angle ϕ with the horizontalc)Paacts at a height H/2 from the base of the wall and at an angle β with the horizontald)Paacts at a height H/2 from the base of the wall and at an angle ϕ with the horizontalCorrect answer is option 'A'. Can you explain this answer?.
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