Difference between revisions of "751.39 Pile Footings"

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(updated per RR3796)
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Critical Section at <math>\frac {d_v}{2}</math> distance from face of column.
 
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<math>V_r = \Phi V_n</math>
 
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Notes: 1) f’c for footing is typically 3.0 ksi and matches f’c of column. Column and footing f’c may be increased to 4.0 ksi with approval from SPM or SLE.
 
Notes: 1) f’c for footing is typically 3.0 ksi and matches f’c of column. Column and footing f’c may be increased to 4.0 ksi with approval from SPM or SLE.
  
::2) For simplicity, when calculating V_U, the maximum pile reaction may be assumed to act on all piles located outside the critical section.
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::2) For simplicity, when calculating <math>V_U</math>, the maximum pile reaction may be assumed to act on all piles located outside the critical section.
  
 
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Latest revision as of 15:12, 2 November 2023

751.39.1 Dimensions

Long, narrow footings (length to width ratio ≥ 2.0) supporting individual columns are not desirable, and care should be taken to avoid their use unless space constraints or eccentric loading dictate otherwise.

Dim Side Elevation 10-26-23.png
Dim Front Elevation 10-26-23.png
Side Elevation
Front Elevation
(1) Min. = 1/8 x (Distance from top of beam to bottom of footing.)
(2) 3'-0" (Min.) & 6'-0" (Max.) for steel HP piles, 14" CIP piles. 3D (Min.) and 6D (Max.) for 16”, 20" and 24" CIP piles. (D = pile diameter)
(3) Indicates column diameter, or column length or width on a hammer head pier.
(4)
Seismic Design Category Min. Footing Thickness
Friction Pile A 2’-6” or column diameter
B, C, D 3’-0” or column diameter
HP Pile A 3’-0” or column diameter
B, C, D 3’-0” or column diameter
Note: For column diameters 4'-0" and greater use a 4'-0" min. footing
thickness. If SDC A SD1 ≥ 0.1, provide seismic details similar to SDC B.
(5) 12" for seismic design category A and 18" for SDC B, C, & D. If SDC A SD1 ≥ 0.1, provide seismic details similar to SDC B.
(6) Use 18" for steel HP piles and 14" and 16” CIP piles. The distance from the side of any pile to the nearest edge of the pile cap shall not be less than 9 inches.


Typ Plan Staggered Pile 10-26-23.png
TYPICAL PLAN
STAGGERED PILE

(7 Pile Footings shall not be used.)

*   The maximum pile spacing is 4'-0".

** 3'-0" (Min.) & 6'-0" (Max.) for steel HP piles, 14" CIP piles. 3D (Min.) and 6D (Max.) for 16”, 20" and 24" CIP piles. (D = pile diameter)

751.39.2 Limit States

The following limit states shall be considered for pile footing design:

STRENGTH – I
STRENGTH – III
STRENGTH – IV
STRENGTH – V
SERVICE – I
EXTREME EVENT – II

See LRFD Table 3.4.1-1 and LRFD 3.4.2 for Loads and Load Factors applied at each given limit state.

751.39.3 Pile Design

General

Design the number, size and spacing of piles based on the guidance provided in EPG 751.36 .5.1 Design Procedure Outline, EPG 751.36.5.8 Additional Provisions for Pile Footings and the guidance provided herein.

For friction piles situated in soft cohesive soils or in cohesionless soils underlain by a soft cohesive layer, the pile group shall be checked for block failure in accordance with LRFD 10.7.3.9. Soft cohesive soils are defined as soils with average undrained shear strength less than 1 ksf. For additional guidance refer to FHWA GEC 012: Design and Construction of Driven Pile Foundations - Volume 1, Section 7.2.2.3.

The pile group shall be checked for horizontal loads in accordance with LRFD 10.7.2.4. Soil-structure interaction shall be considered for full depth of pile. The lateral load shall be checked with the minimum and maximum pile axial loads determined from the procedure outlined in EPG 751.36.5.8 Additional Provisions for Pile Footings for the Strength-III, Strength-V and Extreme Event-II limit states. A step by step design procedure for laterally loaded pile groups using lateral single pile analysis is presented in FHWA GEC 012: Design and Construction of Driven Pile Foundations - Volume 1, Section 7.3.7.6.

751.39.4 Concrete Footing Design

Shear Line

If the shear line is within the column projected, the footing may be considered satisfactory for all conditions and standard #6 hairpin bars shall be used.

If the shear line is outside of the column projected, the footing must be analyzed and reinforced for flexure and checked for shear.

Footing depths may be increased, in lieu of reinforcement, if an increase would be more economical. (6'-0" Maximum depth, with 3" increments.)

Shear Line 10-26-93.png

* 12 inches or 18 inches (see EPG 751.39.1 Dimensions)


Flexure

The critical section for flexure shall be taken at the face of the columns (concentric square of equivalent area for round columns).

The factored moment shall be taken as the sum of the factored pile reactions multiplied by their respective distance from the critical section. Only piles located outside the critical section should be considered.

The reinforcement shall be as indicated in EPG 751.39.5 Reinforcement, except that the standard #6 hairpin bars may be used for small footings if they provide sufficient steel area.


Distribution of Reinforcement

Reinforcement in Bottom of Footing
Distribution Reinforcement 10-26-23.png

Reinforcement shall be distributed uniformly across the entire width of footing in the long direction. In the short direction, the portion of the total reinforcement given by LRFD Equation 5.12.8.5-1 shall be distributed uniformly over a band width equal to the length of the short side of the footing, .

the ratio of footing length (long side) to width (short side) = L/B

area of steel in the band width (in.2)
total area of steel in short direction (in.2)

The remainder of the reinforcement required in the short direction shall be distributed uniformly outside the center band width of footing.


Reinforcement in Top of Footing

Reinforcement in the top of the footing shall be provided based on a seismic analysis for Seismic Design Categories B, C and D or where seismic details are required. This reinforcement shall be at least the equivalent area as the bottom steel in both directions. The top steel shall be placed uniformly outside the column reinforcement.


Shear

(LRFD 5.7.3 or 5.12.8.6)

The shear capacity of footing in the vicinity of concentrated loads shall be governed by the more severe of the following two conditions. For excessive shear, increase footing depth.


One Way Shear

Critical Section at distance from face of column.

factored shear resistance
nominal shear resistance
0.9

nominal shear resistance of the concrete (kip)
factor indicating the ability of diagonally cracked concrete to transmit tension and shear.
2.0
effective shear depth (in.)
width of footing (in.)
design concrete compressive strength (ksi)

sum of factored pile reactions located outside the critical section (kip)


Two Way Shear

Critical Section at distance from face of column.

the perimeter of the critical section for shear (in.)
effective shear depth (in.)
design concrete compressive strength (ksi)

sum of factored pile reactions located outside the critical section (kip)

Notes: 1) f’c for footing is typically 3.0 ksi and matches f’c of column. Column and footing f’c may be increased to 4.0 ksi with approval from SPM or SLE.

2) For simplicity, when calculating , the maximum pile reaction may be assumed to act on all piles located outside the critical section.
Crit Sect Plan Footing 01 10-26-23.png
PART PLAN OF FOOTING
Crit Sect Plan Footing 02 10-26-23.png
PLAN OF FOOTING

(1) Piles to be considered for shear. Center of piles are at or outside the critical section.

751.39.5 Reinforcement

Unreinforced Footing - Use only in Seismic Design Category A

The term “unreinforced footing” is used for footings where only #6 hairpin bars are required.

Do not use unreinforced footing if SDC A, SD1 ≥ 0.1.

Unreinforced footings shall only be used when the shear line for all piles is within the column projected, or where additional flexural steel is not required by design (not typical).

Elevation 4 Pile Footing A 10-26-23.png
Plan 4 Pile Footing A 10-26-23.png
Elevation
(4 Pile Footing)
Plan
(4 Pile Footing)

* See EPG 751.5.9.2.8.2.

Notes: Use Class B lap splice of deformed bars in tension.

Use for all types of piling.


Reinforced Footing - Seismic Design Category (SDC) A

If SDC A, SD1 ≥ 0.1, provide seismic details similar to SDC B.

Front Elevation A 10-26-23.png
Side Elevation A 10-26-23.png
Front Elevation
Side Elevation
Plan A 10-26-23.png
Plan

* See EPG 751.5.9.2.8.2

Notes: Use Class B lap splice of deformed bars in tension.

The minimum bar size for flexural steel that meets all design requirements is preferred. Straight bars are preferred to hooked ends.


Reinforced Footing - Seismic Design Categories B, C & D

Front Elevation BCD 10-26-23.png
Side Elevation BCD 10-26-23.png
Front Elevation
Side Elevation
Plan Top BCD 10-26-23.png
Plan Bottom BCD 10-26-23.png
Plan Showing Top Reinforcement
Plan Showing Bottom Reinforcment

For anchorage of piles for seismic details for SDC B, C and D, see EPG 751.36.4 Anchorage of Piles for Seismic Details.

* For reinforcement in top of the footing and bottom of footing, See EPG 751.5.9.2.8.2 for lap splice.

Note: Use Class B lap splice of deformed bars in tension.

**Place the top reinforcement uniformly outside the column reinforcement. Use same area of steel in the top of the footing as is required for the bottom.

Notes: When complete seismic analysis is required per bridge seismic design flowchart, Joint shear reinforcement shall be provided in accordance with AASHTO Guide Specifications for LRFD Seismic Bridge Design (SGS) 6.4.5.Unreinforced footings shall not be used in seismic performance categories B, C & D.

751.39.6 Seal Course

Seal Course 10-26-23.png
Notes
(1) All pile shall be vertical.

751.39.6.1 General Requirements

Water elevation is to be determined for the site conditions by the preliminary design section; generally, less than the average of high and low water.

Determine the factored uplift load per pile by deducting the weight of the seal course and friction between seal course and sheet piling of cofferdam from the uplift force produced by the hydrostatic head "h".

Use a friction value between the seal course and the sheet piling of 2 lbs./in2 acting on (perimeter x depth) of seal course.

Factored uplift load per pile =

Load factor for uplift x (Uplift force of water – Weight of seal course – Friction between seal course & sheet piling) / No. of piles

751.39.6.2 Pile Pull-out Force

Maximum factored resistance per pile shall be determined by the minimum of:

(1) Factored resistance for skin friction = Geotechnical resistance factor for skin friction x Nominal skin friction resistance
Calculate nominal skin friction resistance of pile (without tip resistance).
Geotechnical resistance factor for skin friction, φup. from LRFD Table 10.5.5.2.3-1
Use φup = 0.2 from LRFD table 10.5.5.2.3.-1 for single pile unless higher resistance factor can be justified based on soil type and test method.
(2) Factored resistance for pile tension = Structural resistance factor for pile tension x Yield strength of steel x Steel area of pile.
Note: Since CIP pile is not filled at this stage, use steel pipe pile area without concrete to determine the factored resistance for pile tension. ASTM 252 allows “the wall thickness at any point shall not be more than 12.5% under the specified nominal wall thickness. For steel pipe pile area computation consider 87.5% of wall thickness.
Structural resistance factor for pile tension, φy = 0.25
(3) Factored resistance for 10 psi adhesion = structural resistance factor for 10 psi adhesion x 10 psi x Pile perimeter x Depth of seal course
Structural resistance for 10 psi pile adhesion, Φ3 = 1.0
For HP pile perimeter use 2*(Depth + Width) of HP shape.

Plan Reporting

Seal Course size shall be shown on the plans as designed.

Seal Courses are typically designed for one footing only. They may be designed for uplift loads developed under more than one footing or where there is economy of scale in constructing a larger cofferdam, for example:

(1) where individual seal courses are proximate and costlier than considering one large seal course under more than one footing, and
(2) where removal of an existing footing requires a larger cofferdam to be constructed enclosing both existing and new locations of footings with the result that a larger than usual seal course size may be less costlier than individually constructed cofferdams.

Where a seal course is to be designed to resist the uplift loads resulting from the proposed construction of more than one footing, the plans should show or indicate that more than one footing was considered in designing the seal course and the pay item adjusted accordingly.

Seal Course size shown on plans should not be allowed to be resized as in combining adjacent seal course(s) or lessening thickness without approval from either the Structural Project Manager or Structural Liaison Engineer and an official change order request from district Construction and Materials Division.

751.39.6.3 Example: LRFD Seal Course Design

Check if Seal Course design is adequate.

Given

  • Concrete Strength f'c= 3000 psi
  • Pile spacing = 3'-0"
  • 12 - HP 10 x 42 piles
  • Area of an individual HP 10 x 42 Pile = A = 12.4 in2
  • Depth of HP shape = 9.7 inch
  • Width of HP shape = 10.1 inch
  • Yield strength of steel Fy = 36 ksi
  • Maximum axial load Py = Fy (A) = 36 ksi (12.4 in2) = 446.4 kips
  • Hydrostatic head h = 19'
  • Seal Course = 12' x 15' x 3'
  • Pile embedment below seal course = 15'
Seal Course Elevation 10-26-23.png

Solution

Factored uplift load per pile:

Uplift force of water = 12'(15')(19')(0.0624 kips/ft3) = 214 kips
Weight of seal course = 12'(15')(3')(0.15 kips/ft3) = -81 kips
Friction of sheet pile = (15'+12')(2)(3')(144)(0.002kips/in2) = -47 kips
Net uplift of piles = 86 kips
Factored uplift load per pile = 86 kips/12 piles = 7.17 kips/pile

Maximum factored resistance:

Use the minimum of:

(1) Factored resistance for skin friction = Geotechnical resistance factor for skin friction x Nominal skin friction resistance:
Nominal skin friction resistance of pile is 53.97 kips.
Geotechnical resistance factor for skin friction = 0.2 for uplift resistance of single pile from LRFD 10.5.5.2.3-1 (Conservatively assumed 0.2),
Factored resistance for skin friction = 0.2 x 53.97 kips = 10.79 kips
(2) Factored resistance for pile tension
= 0.25 x Fy x Steel area of pile
= 0.25 x 36 x 12.4
= 111.6 kips
(3) Factored resistance for 10 psi adhesion = Structural resistance factor for 10 psi pile adhesion x 10 psi x Pile perimeter x Depth of seal course
Structural resistance for 10 psi pile adhesion, Φ3 = 1.0
= 1.0 x 10/1000*2 x (9.7+10.1) x 3 x 12
= 14.26 kips

Minimum from (1), (2) & (3):

Maximum factored resistance = 10.79 kips

Factored uplift load per pile = 7.17 kips

7.17 kips ≤ 10.79 kips, O.K.

Try seal course depth = 2'-6"

Factored uplift load per pile :

Uplift force of water = 12'(15')(18.5')(0.0624 kips/ft3) = 207.8 kips
Weight of seal course = 12'(15')(2.5')(0.15 kips/ft3) = -67.5 kips
Friction of sheet pile = (15'+12')(2)(2.5')(144)(0.002 kips/in2) = -38.9 kips
Net uplift of piles = 101.4 kips
Factored uplift load per pile = 101.4 kips/12 piles = 8.45 kips/pile

Maximum factored resistance:

Use the minimum of:

(1) Factored resistance for skin friction
= Geotechnical resistance factor for skin friction x Nominal skin friction resistance
= 0.2 x 53.97 kips = 10.79 kips
(2) Factored resistance for pile tension = 111.6 kips
(3) Factored resistance for 10 psi pile adhesion = Structural resistance factor for 10 psi pile adhesion x 10 psi x Pile perimeter x Depth of seal course
Structural resistance factor for 10 psi pile adhesion, Φ3 = 1.0
= 1.0 x 10/1000*2 x (9.7+10.1) x 2.5 x 12
= 10.88 kips

Minimum from (1), (2) & (3):

Maximum factored resistance = 10.79 kips

Factored uplift load per pile = 8.45 kips

8.45 kips ≤ 10.79 kips, O.K.

(Using a depth of 2'-6" is an economical design.)