Difficulty: Easy
Correct Answer: 50% of the total area
Explanation:
Introduction / Context:
Raft (mat) foundations distribute loads over a large area, reducing bearing pressures and differential settlement. A practical selection rule compares the cumulative area of isolated footings with the building footprint to decide if a continuous mat is more economical and better performing.
Given Data / Assumptions:
Concept / Approach:
When many columns require large isolated footings, their combined area can approach a significant portion of the site. If this area exceeds roughly half the footprint, a raft is often favored because it provides uniform support, ties the structure, and may reduce excavation/formwork complexity. The 50% threshold is a common heuristic; final decisions should include settlement analysis and cost comparison.
Step-by-Step Solution:
Verification / Alternative check:
Comparative cost and settlement analyses typically show rafts advantageous beyond the 50% mark, especially on soft, heterogeneous soils.
Why Other Options Are Wrong:
25–40% are too low and may still favor isolated footings; 60% is more conservative than necessary in many cases.
Common Pitfalls:
Using the rule without checking groundwater, basement needs, or punching shear; ignoring the benefits of rigid diaphragms in controlling differential settlement.
Final Answer:
50% of the total area
Discussion & Comments