When to use a raft foundation – Rule of thumb based on area of isolated footings In foundation selection for buildings, a raft (mat) foundation is typically preferred when the total area that would be covered by individual isolated footings exceeds what percentage of the building footprint?
-
A25% of the total area
-
B30% of the total area
-
C40% of the total area
-
D50% of the total area
-
E60% of the total area
Answer
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:
- Conventional spread footings versus raft on comparable soil conditions.
- Building footprint is known.
- Settlement control and cost efficiency are objectives.
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:
Compute sum of isolated footing areas: A_sum.Compute building footprint: A_footprint.If A_sum >= 0.5 * A_footprint → consider raft foundation.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