Supervisor: Dr.Ghazavi
Researcher: Amirmasoud Taghavi
Settlement of Shallow foundations
KNTU university of technology
Definitions
Settlement is the vertically downward movement of structure due to
the compression of underlying soil because of increased load.
• Maximum Settlement : It is the
absolute maximum downward
movement of any part of buildi
ng element.
• Maximum Settlement = Smax
• Differential Settlement : It is the
maximum difference between two
points in a building element.
• Differential Settlement = Smax - S
min
Weak Bearing Soils
Poor Compaction
Changes in Moisture Content
Maturing Trees & Vegetation
Soil Consolidation
The causes of foundation settlement
Settlement cracks tend to widen and worsen over time. As they
do, they will allow outside influences into your home, such as
cold air, humidity, rainwater, termites, rodents, and more. The
damage will have an enormous impact on the value and resale
value of your home.
Several things cause a foundation to fail
1.Evaporation: Hot dry wind and intense heat will often
cause the soil to shrink beneath the foundation.
This settlement may cause cracks to appear throughout
the structure.
2.Transpiration: Tree roots may desiccate the soil beneath a
home causing the soil to shrink and the home to settle.
3.Plumbing Leaks: Water from plumbing leaks is often a
cause to foundation problems.
4.Drainage: Improper drainage is one of the leading causes to
foundation failure. Excess moisture will erode or consolidate
soils and cause settlement.
5.Inferior Foundation Construction: Insufficient steel and
inferior concrete will contribute to movement in the slab.
6.Inferior Ground Preparation: Soft, low density soils and/or
improperly compacted soil beneath a home is the leading
cause of foundation failure. Cut and fill methods are a leading cause of
foundation settlement.
7.Poor Soil conditions: Poor soil and its expansion and/or contraction
contribute to foundation failure.
The most common cause of foundation settlement is expansive
soils such as clay. When these highly permeable soils get wet,
they expand. Likewise, when they dry out, they contract. This
causes the soil under your home or property to settle and shift
at an uneven rate, compromising the stability of your structure
Signs of foundation failure
When all parts of a building rest on the same kind of soil, and
the loads on the building and the design of its structural system
are uniform throughout, differential settlement is normally not a
concern. However where soils, loads, or structural systems differ
between parts of a building, different parts of the building structure
may settle by substantially different amounts, the frame of the
building may become distorted, floors may slope, walls and glass
may crack, and doors and windows may not work properly.
Types of Settlement
Immediate Settlement or Elastic settlement
Occurs immediately during or after the construction of structure.
Also known as ‘Distortion Settlement’, it occurs due to distortion in
foundation soil.
Although its not truly elastic, it is computed using elasticity theory. It
is denoted by 𝑆𝑖 . It occurs in all types of soil due to elastic compression.
It occurs immediately after the application of load
It depends on the elastic properties of foundation soil, rigidity, size
and shape of foundation.
Typical Range of Poisson’s Ratio for
different soils
Typical Range of Soil Modulus in
Undrained state
Primary Consolidation OR Consolidation
settlement
Occurs due to gradual dissipation of pore pressure induced by
external loading and consequently expulsion of water from the soil
mass, hence volume change.
Important for Inorganic clays. This component is determined using
Terzaghi’s theory of consolidation.
It is denoted as Sc.
1It occurs due to the process of consolidation.
Clay and Organic soil are most prone to consolidation settlement.
Consolidation is the process of reduction in volume due to
expulsion of water under an increased load.
It is a time related process occurring in saturated soil by draining
water from void.
It is often confused with Compaction.
Consolidation theory is required to predict both rate and magnitude
of settlement.
Types of movement for different kind of soil’s
𝑆𝑟 > 90% → − 𝑆𝑟 < 90% → 𝑌𝑒𝑠
Stress Increase in Soil Due to Applied
Load
For any of the mentioned settlement calculations, we first need
vertical stress increase in soil mass due to net load applied on
the foundation.
The total settlement (S)
Total foundation settlement can be divided into three different
components, namely Immediate or elastic settlement, consolidation
settlement and secondary or creep settlement as given below.
The total settlement is given as;
𝑆 = 𝑆𝑖 + 𝑆𝑐 + 𝑆𝑠 + 𝑆𝜃
IMMEDIATE SETTLEMENT COMPUTATIONS
𝑆𝑖 = 𝑞0𝐵′1 − 𝜇2
𝐸𝑠𝑚𝐼𝑠𝐼𝐹
• In practice, most foundations are flexible. Even very thick ones
deflect when loaded by the superstructure loads. Some theory
indicates that if the base is rigid the settlement will be uniform (but
may tilt), and the settlement factor Is will be about 7 percent less
than computed by Eq.
• On this basis if your base is "rigid" you should reduce the Is factor
by about 7 percent (that is, Isr=0.931Is)
𝐵 = 𝐵2
𝐿′ = 𝐿2
m=4
𝐵 = 𝐵2
𝐿′ = 𝐿
m=2
𝐵 = min(𝐿 2 , 𝐵)
𝐿′ = 𝐿2
m=4
𝐵 = 𝐵
𝐿′ = 𝐿
m=1
• least lateral dimension of contributing base ar
ea in units of ∆𝐻
B’
𝐼𝑖(𝐼𝑠, 𝐼𝑓) • influence factors, which depend on(
𝐿′
𝐵′) thickness of stratum ∆𝐻,
Poisson's ratio(𝜇), and base embedment Depth (𝐷𝑓)
𝐼𝑠 = 𝐼1 +1−2𝜇
1−𝜇𝐼2
𝑁 =𝐻
𝐵′ 𝑀 =
𝐿′
𝐵′
• Use linear interpolation when it needed.
𝐼𝐹
• Use linear interpolation when it needed.
𝑆𝑖 = 𝑞0𝐵′1 − 𝜇2
𝐸𝑠𝑚𝐼𝑠𝐼𝐹
The equation should be used as follows
(Bowles method
1. Make your best estimate of base contact pressure (𝑞0) 2. For round bases, convert to an equivalent square.
3. Determine the point where the settlement is to be computed and divide
the base.(find B’, L’ and m)
4. Find depth actually causing settlement
𝐻 = min(5𝐵,Depth to where a hard stratum is encountered)
5. Enter Table 5-2, obtain 𝐼1 and 𝐼2 with your best estimate for 𝜇, compute
𝐼𝑠and obtain 𝐼𝐹 from the figure.
6. Obtain the weighted average 𝐸𝑠 in the depth z = H
𝐸𝑠𝑎𝑣𝑒 =𝐻1𝐸1 +𝐻2𝐸2 +𝐻3𝐸3 +⋯ .+𝐻𝑛𝐸𝑛
𝐻
7. Immediate Settlement→ 𝑆𝑖 = 𝑞0𝐵′1−𝜇2
𝐸𝑠𝑚𝐼𝑠𝐼𝐹
THANKS
FOR YOUR
ATTENTION
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