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Short Answer // Theory Questions
LEC06 - Pile Foundations I
- How to choose a foundation type"
- General Structure of a Pile
- Applications of Pile Foundations
- Pile Design Code:
- Regardless of the type of Pile, they must satisfy 2 design criteria:
- Bearing Capacity
- NZ Building Code B1:2008 says that the ultimate axial compressive pile strength must consider:
- Geotechnical design (shaft base resistance + shaft resistance --- Qu = Qp + Qs)
- Static Load testing - the load that produces settlement of 0.1 pile width/bell/bulb
- NZ Building Code B1:2008 says that the ultimate axial compressive pile strength must consider:
- Settlement
- Settlement must be within the allowed limit (NZ Building Code B1:2008 --- PIle Foundations <= 0.1 pile width/bell/bulb)
- Bearing Capacity
- Regardless of the type of Pile, they must satisfy 2 design criteria:
- Pile Design Methods
- Satisfy the rules:
- Simplified Rules: (Presumed bearing capacity and zero shaft friction)
- Code of Practice
- Rational Design Method:
- Based on soil/rock mechanics principles and/or empirical relationships
- Needs adequate ground investigation, in-situ and lab tests
- Consider geotechnical capacity and settlement
- May require instrumented pile loading tests to verify design assumptions
- More Economic design can be achieved
- Satisfy the rules:
- Classifications of Piles:
- Based on Construction Materials:
- Steel Piles
- Qall.s = As x fs
- Qall,s = allowable structural capacity of steel pile
- As = cross-sectional area of the steel
- fs = allowable stress of steel (approx. 0.33 - 0.5 fy), minimum yield strength
- Advantages:
- Easy to handle with respect to cut-off and extension to the desired length
- Can stand high driving stresses
- Can penetrate hard layers such as dense gravel and soft rock
- HIgh load-carrying capacity
- Disadvantages:
- Relatively costly
- High level of noise during pile driving
- Subject to corrosion (can prevent this but coating or cathodic protection)
- May be damaged of deflected during driving through hard layers or major obstructions
- Qall.s = As x fs
- Concrete Piles
- Pre-Cast concrete piles
- Ordinary Reinforcement --- Qall,s = 300 - 3000kN
- Pre-stressed reinforcement --- Qall,s = 7500 - 8500kN
- Advantages
- Can be subject to hard driving
- Resistant to corrosion
- Can be easily combined with a concrete superstructure
- Disadvantages
- Difficult to achieve proper cut off
- Difficult to transport
- Cast-in-situ concrete piles
- Cased Cast-In-Situ
- Qall,s = (As x fs)+ (Ac x fc)
- Qall,s = allowable structural capacity of cased pile
- As = cross-sectional area of steel
- fs = allowable stress of steel
- Ac = cross-sectional area of concrete
- fc = allowable stress of concrete
- Advantages:
- Relatively cheap
- Allow for inspection before pouring concrete
- Easy to extend
- Disadvantages:
- Difficult to splice after concreting
- Thin casings may be damaged during driving
- Qall,s = (As x fs)+ (Ac x fc)
- Uncased Cast-In-Situ
- Qall,s = Ac x fc
- Advantages
- Initially economic
- Can be finished at any elevation
- Disadvantages
- Voids may be created if concrete of rapidly placed
- Difficult to splice after concreting
- In soft soils, the sides of the hole may cave in
- Cased Cast-In-Situ
- Continuous Flight Auger Piles (CFA)
- Advantages:
- Noise and vibrations during construction are minimized
- Eliminates splicing and cutoff
- Disadvantages:
- Structural integrity is less reliable
- Soil spoils need collection and disposal
- Also known as: auger-cast, auger-cast-in-place, auger-pressure grout piles
- Drilling by continuous flight augers
- Drilling to the final depth in one continuous process
- Gradually pulling the auger and pumping concrete into the hole
- Placing reinforcement immediately after withdrawal of auger
- Advantages:
- Pre-Cast concrete piles
- Timber Piles
- These must comply with: NZ3603:1993 (Timber Structures Standard) or NZS 3605:2001 (Timber Piles and poles for use in buildings) and are treated as recommended by NZS 3604:2011 (Timber Framed Buildings)
- Qall,s = Ap x fw
- Ap = average area of cross-section of timber pile (m2)
- fw = allowable stress of the timber (kN/m2)
- Composite Piles
- Pre-cast concrete pile over timber pile (economic)
- Cast-in-Situ concrete pile over Steel H Pile - limitation in designed length)
- Steel Piles
- Based on Soil Disturbance & Installation Method
- Driven Piles (Displacement PIles)
- Installation by pile driving methods --- Hammering piles into the ground using sufficient energy --- use a dynamic driving force calculated to match the structural capacity
- Bored Piles (Non-displacement or Replacement Piles)
- Installation by boring methods --- Digging a hole in the soil --- Installing or casting the pile in the hole
- Driven Piles (Displacement PIles)
- Based on Load Transfer Method
- Point Bearing Piles --- Qu = Qp + Qs where Qs = 0 therefore, Qu = Qp
- Friction Piles --- Qu = Qp + Qs where Qp = 0 therefore Qu = Qs
- Compaction Piles
- Based on Construction Materials:
LEC07 - Pile Foundations II
- Design Philosophies:
- Design must comply with two requirements for the lifetime of its service:
- 1) Adequate safety against failure of the ground
- 2) Adequate margin against excessive pile movement
- 2 Design Approaches are used:
- Global Factor of Safety Approach
- Limit State Design Approach
- Design must comply with two requirements for the lifetime of its service:
- Ultimate Capacity of Pile, Qu = Qs + Qp
- Qp = Point Load Bearing Capacity
- Qp = Ap x qp (where qp in = to qu in Meyerhof's equation in shallow foundations)
- Qp in Sand
- Qp = Ap.q.N*q <= Ap(0.5.pa.N*q.tan(phi))
- Qp in Clay
- Qp = Ap.cu.N*c
- Qp in Soil
- Qp = Qp.c` + Qp.phi` = [(Ap.q`.N*q<=Ap(0.5pa.N*q.tan.phi`))+(9Ap.c`)] --- basically the summation of Qp in clay and Qp in sand
- Qp in Sand
- Qp = Ap x qp (where qp in = to qu in Meyerhof's equation in shallow foundations)
- Qs = Frictional Resistance of Pile
- Qs = Summation of p.change in L.f --- and then the f changes in all the different methods
- Qs in Sand
- f = N.us = K.o`v.tan(soil-pile friction angle)
- Meyerhof's
- fav = 0.02pa(N60) - for high displacement driven piles
- fav = 0.01paN60 - for low displacement driven piles
- Briaud's
- fav = 0.224pa(N60)^0.29
- Qs = fav.p.L
- Qs in Clay
- wavelength method
- fav = wavelength(o`o + 2cu)
- cu = [(cu(1).L1) + (cu(2).L2)...]/(L)
- o`o = [A1 + A2 ...]/(L)
- fav = wavelength(o`o + 2cu)
- alpha method
- f = alpha . cu
- alpha = from tables
- f = alpha . cu
- beta method
- f = beta . o`o
- beta = K.tan.phi`R
- K = 1-sin(phi`R) --- for normally consolidated clays
- K = [(1 - sin(phi`R).sqrt(OCR)] --- for overconsolidated clays
- beta = K.tan.phi`R
- f = beta . o`o
- Correlation
- f = alpha`.fc
- wavelength method
- Qs in soil
- Qs in Sand
- Qs = Summation of p.change in L.f --- and then the f changes in all the different methods
- But also keep in mind that Qu must be less than or equal to Qall,s (= Allowable structural capacity of pile)
- Qp = Point Load Bearing Capacity
- Pier Foundations:
- A raised structure typically supported by well spaces pile foundation systems
- Types of Piers
- Masonry piers
- Drilled Piers
- Concrete in Steel Shell Pier
- Drilled Concrete Pier
- Concrete and Steel Core in Steel Shell Pier
- Difference between Pile and Pier
- Method of Construction
- Method of Load Transfer
- Variation in Depth
- Preference
- Type
- Design Philosophies:
LEC08 - Settlement of Foundations
- Types of Settlement
- Elastic Settlement (during or immediately after construction)
- Consolidation Settlement (depends on the permeability of the soil under the foundation)
- In sand; elastic and consolidation settlement occur at the same time
- In clay: elastic settlement occurs in short time and consolidation settlement occurs in very long period of time (considered for years after construction has occured)
- Estimation of Settlement of Shallow Foundations
- Effect of Water Table on Settlement of Shallow Foundations
- Se` = Se x Cw
- Peck et, al
- Cw = [(1)/(0.5 + 0.5 x ((Dw)/(Df + B)))] => 1
- Teng
- Cw = [(1)/(0.5 + 0.5 x ((Dw - Df)/(B)))] <= 2
- Bowels
- Cw = 2 + (Dw / (Df + B))
- Peck et, al
- Se` = Se x Cw
- Elastic Settlement of Shallow Foundations on Sand:
- Se(flexible) = qo (alpha x Beta`)[(1 - us^2)/(Es)] x Is x If
- Se(rigid) = 0.93 Se(flexible)
- Elastic Settlement of Shallow Foundations on Clay:
- Se = (A1 x A2 ](qo x B)/Es])
- Effect of Water Table on Settlement of Shallow Foundations
- Estimation of Settlement of Pile Foundations
- The settlements in piles are relatively low when compared to shallow foundations
- Under working loads, with a factor of safety of 2 - 3, the settlement is about 1% of the pile diameter
- The total settlement of piles under a vertical working load is Qw
- Settlement due to Primary Consolidation
- Consolidation settlement occurs over time in saturated clayey soil subjected to an increased load cause by construction of the foundation
- Settlement due to Secondary Consolidation
- At the end of primary consolidation, some settlement takes place due to the plastic adjustment of soil fabrics. This stage of consolidation is called secondary consolidation.
- Types of Settlement
LEC09 - Geometric Design of Foundations
- Isolated Footing:
- Square, Rectangle etc. supporting one column or wall load
- Combined Footing --- Supporting two or more column loads
- Rectangular combined footing
- When the standard footing design will extend out of the property line
- When adjacent footings will be very close (<25cm)
- 6 Design Steps:
- 1) determine the area of the combined footing
- 2) determine the location of the resultant load (taking moments about centre of column 1)
- 3) find the length of combined footing, assuming uniform pressure, L
- 4) check the validity of uniform load assumption
- 5) find the extend of interior side of the combined footing, L1
- 6) find the width of combined footing, B based on the known area
- Trapezoid combined footing
- 4 design steps:
- 1) Determine the area of combined footing
- 2) Determine the location of the resultant load
- 3) check validity of uniform load assumption
- 4) determine B1 and B2 by solving the system
- Where loads are largely different in magnitude
- Where space is tight (limited from both sides)
- 4 design steps:
- Cantilever footing (strap footing)
- Cantilever footing construction uses a strap beam to connect an eccentrically loaded column or wall foundation to the foundation of an interior column
- Replaces trapezoidal or rectangular combined footings when: the allowable soil bearing capacity is high and the distances between the columns are large
- 5 Design Steps:
- 1) determine the area of the combined footing
- 2) determine the location of the resultant load (taking moment about centre of column 2)
- 3) centre of gravity of two footings should coincide with the resultant load --- taking moment about centre of column 2, assuming B, Yc and hf
- 4) Calculate L2
- Rectangular combined footing
- Mat or Raft Foundation
- Supporting more than one line of column loads
- Are used when:
- When more than 50% of the structures footprint will otherwise be constructed as pad or strip footings
- When the type of structure requires that the differential settlements be limited to very small values
- When there are non-uniform soil conditions or soil where pockets of weak soil are present
- Common types of mat Foundations:
- a) Flat Plate
- b) Flate plate thickened under columns
- c) bean and slab - waffle slab
- d) flat plates with pedestals - ribbed raft
- e) Slab with basement walls as part of the mat
- When water table is high, mat is placed over the piles
- Foundation Design Considerations
- Mat foundations can also be designed by considering shear forces and moment based on:
- Conventional rigid method
- Approximate flexible method
- Mat foundations can also be designed by considering shear forces and moment based on:
- Isolated Footing:
LEC10 - Lateral Earth Pressure and Retaining Structures
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- Mind Map on Short Answer // Theory Questions, created by Ofa Halatanu on 19/06/2018.
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