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Pile Driving Part VI: Design Factors and Criteria for Driven Piles
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Pile Driving Part VI: Design Factors and Criteria for Driven Piles

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Allowable Stress Design (ASD)

Traditional design of deep foundations – both geotechnical and structural – involved the use of the Allowable Stress Design (ASD) technique. This meant first determining the loads and stresses on a given structure or soil, multiplying it by a factor of safety, and then comparing it with an allowable stress or load.

Selecting a Factor of Safety

The factor of safety used in determining the allowable pile load capacity should be selected based on the following considerations:

  • The level of confidence in the input parameters. (This confidence level is a function of the type and extent of subsurface investigations and laboratory testing of soil and rock materials).
  • Variability of the soil and rock.
  • Method of design analysis.
  • Effects of the proposed pile installation method.
  • Level and type of construction monitoring (dynamic formula, wave equation analysis, dynamic analysis).


Allowable Pile Capacity

The plans and specifications usually require either an allowable or an ultimate pile capacity. The design pile capacity is determined during the design stage by performing a static analysis and by determining allowable stresses in the pile material. The safety factor chosen should be based on the reliability of the method specified for pile capacity during installation. Safety factors increase with the increase in unreliability of the method used for determining pile capacity.

Typical Factors of Safety

Typical or usual loads refer to conditions that are a primary function of a structure and can be reasonably expected to occur during the service life. Such loads may be long-term, constant, intermittent, or of a repetitive nature.

Other Factors of Safety

Lower factors of safety are possible for unusual or extreme loads, provided soil investigation is thorough and settlement will be within a tolerable range.

Unusual Loads

Unusual loads refer to construction, operation, or maintenance conditions that are of relatively short duration or infrequent occurrence. Risks associated with injuries or property losses can be controlled by specifying the sequence or duration of activities and/or by monitoring performance.

Extreme Loads

Extreme loads refer to events that are highly improbable and occur only during an emergency. Such events may be associated with major accidents involving impacts or explosions and natural disasters due to hurricanes. Extreme loads may also occur from a combination of unusual loads.


Load and Resistance Factor Design (LRFD)

Load and Resistance Factor Design (LRFD) methods involve the use of statistical methods to determine the actual combined effect of various types of loads on a structure. The various loads (dead, live, earthquake, etc.) are combined using factors, then compared with a load capacity which itself is factored. Fortunately all of the factors have been determined for a given code or structure type in advance, so the designer does not have to deal with the statistical calculations directly.

Structural Design of Driven Piles

There are several considerations in the structural design of driven piles. This includes allowable pile stresses, load capacity, and soil type.

Allowable Pile Stresses

Any driven pile has to remain structurally intact and not be stressed to its structural limits during both its service life (static capacity) and during driving (dynamic capacity). This requires that limits be placed on the following:

Maximum Allowable Design Stresses During the Service Life

With the allowable stress design (ASD) method, dividing the ultimate stress for the pile material by a factor of safety determines an allowable stress. The factor of safety is based on experience and includes the load and structural resistance variations. The limitations on maximum allowable static design stresses for driven piles in various codes generally represent the static load capacity. The static load capacity is based on pile material, cross section, strength and to some extent site conditions (e.g., corrosion potential). The maximum design stresses apply to long-term ultimate design capacity and ignore the influence of setup and relaxation.

Maximum Allowable Driving Stresses (Temporary)

In almost all cases, the highest stress levels occur in a pile during driving. High driving stresses are necessary to cause pile penetration in order to develop static pile loads that equate to reasonable static stresses under service loads. The pile must be stressed to overcome ultimate soil resistance in order to be driven to design case. Pile driving stresses can be estimated by wave equation analysis. These stresses can be measured during driving by dynamic measurements.


Impact of Soil Type on Load Capacity

Whether the soil is cohesive or cohesionless will effect load capacity. Note that the ultimate bearing capacity of a pile in soils is the sum of toe and shaft resistances. For calculation purposes, it is generally assumed that the shaft friction resistance and toe bearing resistance can be determined separately and that these two factors do not affect each other.

Axial Compressive Capacity of Piles in Cohesionless Soils

The load capacity of piles driven into cohesionless soil depends primarily on the relative density of the soil. During driving, the relative density is increased close to the pile due to vibrations and lateral displacement of soil. The effect is most pronounced in the immediate vicinity of the pile shaft and extends in gradually diminishing intensity over a zone 3 to 5.5 pile diameters around the pile shaft.

Relative Density

The increase in relative density increases the load capacity of single piles and pile groups. The pile type also affects the amount of change in relative density. Piles with large displacement characteristics such as closed-end pipe and precast concrete increase the relative density of cohesionless material more than small displacement steel H-pipes or open-end pipe piles.

Horizontal Ground Stress

The induced increase in horizontal ground stress, which occurs adjacent to the pile during the driving process, can be lost by relaxation in dense sand and gravels. The relaxation phenomenon occurs as the negative pore pressure generated during driving is dissipated. The negative pore pressures occur because of volume change and dilation of dense sand. It can be seen that negative pore pressures temporarily increase the component of shear strength and, therefore, pile capacity. As negative pore pressures dissipate both the shear strength and pile capacity decrease.


High Pore Water Pressures

The driving process generates high pore water pressures (positive pore water pressures) in saturated cohesionless silts, which temporarily reduce the soil shear strength and the pile capacity. The gain in capacity with time (set up) is generally quicker for silts than for cohesive soils because the pore pressures dissipate more rapidly (silts are more permeable than clays).

Immediate Settlements of Pile Groups in Cohesionless Soils

Pile groups supported by cohesionless solid will produce only elastic (immediate) settlements. This means the settlements in cohesionless soils will occur immediately as the pile group is loaded.

Pile Master Model 36-3000 Air Hammer. Photo credit: Equipment Corporation of America (ECA)

Axial Compressive Capacity of Piles in Cohesive Soils

When piles are driven into saturated cohesive materials, the soil near the piles is disturbed and radially compressed. For soft or normally consolidated clays, the zone of disturbance is within one pile diameter around the pile. For piles driven into saturated stiff clays, there are significant changes in secondary soil structure with remolding and complete loss of previous stress history effects in the immediate vicinity of pile.

High Pore Water Pressures

The disturbance and radial compression generate high pore water pressures (positive pore water pressures) that temporarily reduce soil shear strength and, therefore, the driving resistance and load capacity of piles. As reconsolidation of clays around the pile occurs, the high pore water pressures are diminished which leads to an increase in shear strength and pile load capacity (set-up). The zone and magnitude of disturbance is dependent on soil properties and soil sensitivity, driving method and the pile foundation geometry.

Settlement of Pile Groups in Cohesive Soils

Pile groups supported by cohesive solid may produce both elastic (immediate) and consolidation (occurs over a time period) settlements. The elastic settlements will generally be the major amount for over-consolidated clays and consolidation settlements will generally be the major amount for normally consolidated clays.


Uplift Capacity of Pile Groups

The uplift capacity of a pile group is often a significant factor in determining the minimum pile penetration requirements and in some cases can control the foundation design. A few common conditions where group uplift capacity may significantly influence the foundation design include cofferdam seals that create large buoyancy forces, cantilever segmental bridge construction, and seismic, vessel impact, or debris loading. When piles with uplift loads are driven to a relatively shallow bearing stratum, uplift capacity may control the foundation design.

Negative Shaft Friction

When a soil deposit, through which piles are installed, undergoes consolidation and is forced downward, the resulting downward movement of the soil around piles induces down drag load on the piles. These down drag forces are also called negative shaft friction. Negative shaft friction is the reverse of the usual positive shaft friction developed along the pile surface. This force increases the pile axial load and can be especially significant on long piles driven through compressible soils and must be considered in pile design. Batter piles should be avoided in these situations because of the additional bending forces imposed on the piles, which can result in the pile deformation or damage.

A new Tier 4 Final HPSI 500 Vibratory Hammer and SD70 Vibratory Dampener at work in Detroit, MI with Bridging North America US JV on the Gordie Howe International Bridge Project. Photo credit: GeoQuip

Lateral Loading of Vertical Piles

In addition to axial compression and uplift loads, piles are routinely subjected to lateral loads. Potential sources of lateral loads on bridge structures include:

  • Vehicle acceleration and braking forces.
  • Wind loads.
  • Wave and current forces.
  • Debris loading.
  • Ice forces.
  • Vessel impact loads.
  • Earth pressures on the backs of abutment walls.
  • Slope movements.
  • Seismic events.

These lateral loads can be of the same magnitude as axial compressive loads and therefore warrant careful consideration during design. The foundation deformation under lateral loading must also be within the established performance criterion for the structure.


Lateral Capacity of Pile Groups

The ability of a pile group to resist lateral loads from vessel impact, debris, wind, or wave loading, seismic events, and other sources is a significant design issue. The deflection of a pile group under a lateral load is typically 2 to 3 times larger than the deflection of a single pile loaded to the same intensity. Trailing rows of pile groups have significantly less resistance to a lateral load than piles in the lead row, and therefore exhibit greater deflections. This is due to the pile-soil-pile interaction that takes place in a pile group.

Conclusion

The basic design for typical loads should be efficiently adapted to accommodate extreme loads without experiencing a catastrophic failure. However, structural damage which partially impairs the operational functions and requires major rehabilitation or replacement of the structure is possible. Caution is required to achieve an efficient design that will avoid unacceptable injuries or property losses.

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