Why circular sections are preferred for sewers: Identify the most comprehensive reason set for selecting a circular cross-section in gravity sewers.
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AIt provides maximum hydraulic mean depth for a given perimeter
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BIt provides maximum area for a given perimeter
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CIt is economical to construct
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DAll of the above
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EOnly because it is easy to clean
Answer
Correct Answer: All of the above
Explanation
Introduction / Context:The choice of sewer cross-section affects hydraulic capacity, self-cleansing, constructability, and cost. Circular sections are most common for small to medium diameters in municipal systems.
Given Data / Assumptions:
- Gravity sewer applications with standard construction methods.
- Comparison of geometric and economic attributes.
Concept / Approach:Among shapes, a circle offers a high area-to-perimeter ratio, which implies a larger hydraulic radius R = A/P and, hence, lower resistance for a given perimeter. Circles are also structurally efficient and straightforward to manufacture and install using pipes, leading to cost effectiveness.
Step-by-Step Solution:Geometric efficiency: For given perimeter, circle maximizes enclosed area.Hydraulic implication: Larger hydraulic mean depth (A/P) yields better flow capacity.Practicality: Circular pipes are widely available, easy to lay, and economical.Therefore, the inclusive choice captures the full rationale.
Verification / Alternative check:Textbook derivations show the circle maximizes area for a given perimeter, which correlates with a favorable hydraulic radius, and industry costing demonstrates economies of scale for circular pipe products.
Why Other Options Are Wrong:Single-attribute options do not reflect the totality of hydraulic and economic advantages.“Only because it is easy to clean” is not the primary or sole reason.
Common Pitfalls:
- Assuming non-circular shapes are never used; egg-shaped sections can be advantageous for combined sewers.
- Ignoring partial flow hydraulics where circular conduits maintain reasonable performance.
Final Answer:All of the above