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Foundation Engineering / Rafts and mat foundations

Stiffness, and the piled raft

What a raft is actually good at.

Lesson review: expert verification remains open

This lesson has received a full-context editorial review and a check of its technical explanations. Selected arithmetic has been checked separately. This is not independent engineering sign-off.

Corrections checked in this pass

  • Corrected the flexible-centre reference values. Negative net pressure now identifies an unloading case requiring a separate movement model.

Checks needed for project use

  • A geotechnical reviewer must confirm drainage and stress basis, bearing-factor formulation, correlations and settlement influence factors. Partial factors and project-specific ground conditions are outside these teaching checks.
  • Embedded rigid-raft settlement and unloading/reloading are not established by the surface reference calculation; raft/pile/structure interaction needs separate analysis.

These are educational models and exercises. Check their assumptions before using the results. The full technical content and every diagram have not yet been independently verified.

Concrete and steel calculations retain their stated first-generation Eurocode teaching basis. Use the standards and amendments specified for your project; do not mix generations without an appropriate design basis.

Read the lesson register and outstanding review notes

Why this matters

If a raft increases total settlement, what is it for? The answer is in Module 10: buildings are damaged by differences in settlement, not by settlement. A raft is a device for converting a differential problem into a total one, and that trade is very often worth making.

Raft stiffness decides how much of that conversion actually happens.

A genuinely rigid raft settles as a plane. Wherever the ground is soft it sheds pressure to stiffer areas, and the differential settlement across the building approaches zero — at the cost of large bending moments in the raft itself, since it is now spanning between hard spots.

A flexible raft follows the ground. It attracts small moments and behaves as a collection of independent footings that happen to be joined, so it inherits the ground's variability more or less unchanged.

Real rafts sit between the two, and where they sit depends on the raft's thickness against the plan dimension and on the ground's stiffness. The important consequence is that raft moments and differential settlement trade against each other: you cannot reduce both at once by adjusting the raft alone.

The piled raft is the case where neither a raft nor a pile group is quite right.

The conventional approach is either/or: if the raft settles too much, replace it with piles designed to carry the whole load. A piled raft instead keeps the raft carrying most of the load and adds a smaller number of piles specifically as settlement reducers, placed where the settlement profile is worst — usually beneath the more heavily loaded central area.

The piles are deliberately loaded close to their capacity, which is unnerving the first time you meet it, but it is the point: a pile that is not fully mobilised is not doing the job it was added for. What the arrangement controls is the shape of the settlement, which is what the structure cares about.

Check yourself

A raft is made considerably thicker and stiffer. What happens to differential settlement and to the raft's bending moments?

Check yourself

In a piled raft, what are the piles for?

Try it

The compensated raft

Excavate to pay for the building — then see why the raft still settles more than a pad at higher pressure.

3.00 m
150 kPa
12.0 m

What is fixed

  • γ = 19 kN/m³, E = 25 MPa, ν = 0.3, rigid foundation.
  • The comparison pad is 2.5 m square at the full gross pressure.
Raft, gross 150 kPa64.9 mm
Raft, net 93 kPa40.2 mm
2.5 m pad at 150 kPa13.5 mm
Stress removed
57 kPa
Net pressure
93 kPa
Degree of compensation
38 %
Depth for full compensation
7.9 m
Raft settlement
40.2 mm
Pad settlement, for comparison
13.5 mm

The raft settles 40.2 mm at 93 kPa while the far smaller pad settles 13.5 mm at 150 kPa. Lower pressure, more settlement — because width, not pressure, sets the depth of ground that compresses.

Summary

  • Rafts are indicated when pads merge, when ground is variable, or when compensation is available
  • Compensation removes pre-existing stress: 3 m of excavation paid for 38% of the building
  • A raft settles more than a pad at lower pressure, because it stresses far deeper ground
  • Raft stiffness trades differential settlement against bending moment
  • A piled raft uses a few well-mobilised piles to reshape the settlement profile, not to carry the load