Transcript
  • Concrete Slabs on Grade Analysis, Design, and Detailing

    By Otto J. Schwarz, P.E., S.E.

    Ryan Biggs | Clark Davis Engineering and Surveying, P.C.

    SE University, March, 2015 www.LearnWithSEU.com

  • Concrete Slabs on Grade Analysis, Design, and Detailing

    I. Slabs on Grade and the Building Code

    II. Types of Slabs on Grade

    III. Design Parameters

    IV. Methods of Analysis

    V. Crack-Control, Vapor Retarders, and Subgrade

    Preparation

    2

  • Concrete Slabs on Grade Referenced Codes / Texts

    2009 International Building Code

    ACI 318 08 Building Code Requirements for Structural Concrete

    ACI 360R 06 (2010 ACI MCP)

    Designing Floor Slabs on Grade, Ringo, Boyd C., and Anderson,

    Robert B., 1992

    Concrete Floors on Ground, PCA, 2001. (2008 expanded available)

    ARMY TM 5-809-12, Concrete Floor Slabs on Grade Subjected to

    Heavy Loads, Departments of the Army and the Air force Technical

    Manual, 1987

    Wire Reinforcement Institute, 1989.

    3

  • ACI 360 Definition:

    A slab, supported by ground, whose main purpose is to support the applied loads by bearing on the ground.

    (1992 whose total loading when uniformly distributed would impart a

    pressure to the grade or soil that is less than 50% of the allowable bearing capacity thereof.)

    A Slab on Grade is

    4

  • Concrete Slabs on Grade Type 1 Engineering

    Sufficient for light duty projects. Offices, light commercial, residential, etc. Slab on grade is primarily a walking surface.

    Standard concrete specification and a note on the building plan.

    Type 2 Engineering Projects where grade slabs perform heavy lifting

    Industrial applications (forklifts, machinery loads, etc.) Warehouses (critical joint detailing, storage racks, etc.) Expansive soils / significant frost depths Exterior / Aggressive Environments Brittle low-crack-tolerance flooring

    5

  • Concrete Slabs on Grade First Project Questions

    What should the concrete strength be? What thickness of slab should I specify? How do I determine the required slab strength? How should the slab be reinforced? Where do I place contraction / control joints?

    6

  • Occupancy** Min. Slab Thickness

    Reinforcement

    Sub-Slabs under other slabs 2 None

    Domestic or light commercial (loaded less than 100 psf)

    4 One layer 6x6 W1.4xW1.4 WWF, min. ideal conditions; 6x6 W2.1xW2.1 WWF for avg. conditions

    Commercial institutional barns (loaded 100-200 psf)

    5 One layer 6x6 W2.1xW2.1 WWF or one layer 6x6 W2.9xW2.9 WWF

    Industrial (loaded not over 400-500 psf) and pavements for industrial plants, gas stations, and garages

    6 One layer 6x6 W2.9xW2.9 WWF or one layer 6x6 W4xW4 WWF

    Industrial (loaded not over 600-800 psf) and heavy pavements for industrial plants, gas stations, and garages

    7 Two layers 6x6 W2.9xW2.9 WWF or two layers 6x6 W4xW4 WWF

    Industrial (loaded 1500 psf) 8 Two mats of bars (one each, T & B) each of #4 bars @ 12 c/c, E.W.

    Industrial (loaded 2500 psf) 9 Two mats of bars (one each, T & B) each of #5 bars @ 12 c/c, E.W.

    Industrial (loaded 3000-3500 psf) 10 Two mats of bars (one each, T & B) each of #5 bars @ 8 to 12 c/c, E.W.

    7

  • Notes on General Guidelines

    ** For loads in excess of 500 psf, use at least 3000 psi quality controlled concrete, and investigate subsoil conditions with extra care. Fill material and compaction should be equivalent to ordinary highway practice. If laboratory control of compaction is available, the load capacities can be increased in the ratio of the actual compaction coefficient, k, to 100.

    For loads in excess of 1500 psf, the subsoil conditions should be investigated

    with extra care and subbase should provide k 200. Place first layer 2 inches below top of slab; second layer 2 inches above

    bottom of slab. Information taken from Concrete Reinforcing Steel Institute Handbook

    (CRSI), 1984, pg 13-61.

    8

  • Concrete Slabs on Grade confession

    I was a successful Type 1 Engineer for many years.

    Stable subgrade materials Uniform loading criteria Light service point loads (< 500lb) Tolerant Floor Coverings

    Carpet Vinyl Tile

    General Guidelines and Rules of Thumb Worked!

    9

  • International Building Code What Applies?

    non-structural and structural concrete

    Non-structural the design and construction of slabs on grade shall not be governed by this chapter except Section 1910 Minimum Slab Provisions Section 1904 Durability Structural Slabs on Grade: transmitting vertical loads or lateral

    forces from other parts of the structure to the soil.

    Structural concrete shall be designed and constructed in accordance with IBC Chapter 19 Concrete ACI 318 as amended by section 1908.

    10

  • International Building Code Section 1910 Minimum Slab Provisions

    Thickness not less than 3.5 inches, and

    Either 6-mil minimum polyethylene vapor retarder

    Joints lapped 6 inches Between base course or subgrade and floor slab

    Or Other approved equivalent method or materials to

    control vapor transmission

    Type 1 Engineering check!

    11

  • International Building Code Section 1904 Durability Requirements

    Concrete Strength and W/C Ratio Must Conform to ACI 318 Based on Exposure

    Exposure to Freeze/Thaw in moist condition or deicers Exposure to Sulfates in water or soil Exposure to water when low permeability is required Exposure to chlorides when concrete is reinforced:

    Deicing chemicals Salt Saltwater Brackish water Seawater

    No Problem for most Type 1 projects! 12

  • This Code does not govern design and construction of slabs-

    on-ground, unless the slab transmits vertical loads or lateral

    forces from other portions of the structure to the soil.

    and additionally

    13

    ACI 318 Section 1.1.7

  • IBC 2009 The Construction Documents for structural concrete construction shall include:

    A statement if slab on grade is designed as a structural diaphragm for structures assigned to Seismic Design Category D, E, or F.

    and

    ACI 318 - Drawings, Details, and specifications shall show: Statement if slab-on-ground is designed as a structural

    diaphragm (21.12.3.4)

    14

    The Construction Documents Concrete Slabs on Grade - Seismic

  • Although not mandated by the code, indication of slab-on-grade function on drawings and details for: Structural bracing for basement or retaining walls, Transmission of lateral forces at bases of shear walls

    and frames for MWFRS and Low Seismic Zones, Support of posts, racks, machinery, or vehicles. Others

    The Construction Documents Concrete Slabs on Grade

    15

  • ACI 360 The Slab on Grade...

    May be of uniform or variable thickness,

    May include stiffening elements such as ribs or beams,

    May be constructed of plain unreinforced concrete,

    May be conventionally reinforced or prestressed for

    the effects of shrinkage and temperature and/or

    structural loadings.

    (The slab on grade may be all of these things; Structural or Non-Structural.)

    16

  • Slabs on Grade Types ACI 360 A Plain (unreinforced) concrete slabs B Reinforced to limit crack widths due to Shrinkage,

    Temperature, and Applied Loads Mild Steel Bars Wire Reinforcement (WWR or WWF) Fiber Reinforcement

    C Reinforced to prevent cracking due to Shrinkage,

    Temperature, and Applied Loads Shrinkage compensating concrete Post Tensioned

    D Structural Slabs (ACI 318) (Inclusive of all types!)

    17

  • 18

    Type A the Plain Concrete Slab

    No Reinforcement Simple to Construct Designed to Remain Uncracked in Service Cement Type I or II Close Joint Spacing (2 to 3 per inch thick at limited aspect ratio.)

    More opportunity for curling and joint deterioration Flatness and Levelness may decrease over time

    Subgrade Uniformity and Drying Shrinkage Extremely Critical

  • Type B Reinforced to Limit Cracking Thickness Design Can be the Same as for Unreinforced

    Slabs

    Reinforcing Does Not Add Significantly to the Load Carrying Capacity of the Type B Slab

    Reinforcement (Bars or WWF) Placed in Upper of Slab

    Thickness Nominal reinforcement to limit crack widths between joints Reinforced for structural capacity at a cracked section

    Assumed to Remain Uncracked in Service May have many, closely spaced, fine cracks.

    Cement Type I or II

    Joint Spacing Greater than Type A. Based on Thickness and Subgrade Computed using Subgrade Drag Equation

    19

  • Type C Reinforced to Prevent Cracking

    Shrinkage Compensating Concrete (ACI 223)

    ASTM C 845 Type K Cement or Separate Expansive Admixture

    Reinforcement of 0.15% to 0.2% in Upper of Thickness of

    Slab to Limit Initial Slab Expansion and to Restrain the Subsequent Drying Shrinkage

    Detailed to be isolated from fixed portions of the structure for

    both initial expansion and drying / temperature shrinkage Wider Construction Joint Spacing than Type A Slab (40 to

    150 feet)

    20

  • 21

    Type C Reinforced to Prevent Cracking Post Tensioned Control Cracking with Minimum

    Precompression, or Provide Active Prestress to resist

    Structural Loadings (Type D) Consider Short and Long Term Force

    Loss Subgrade drag loss Restraint at fixed portions of structure Elastic Shortening Creep

    Widely Spaced (100 to 500 feet!) or Non-Existent Control Joints.

    Construction Joints to Limit Tendon Lengths and Losses.

  • Type D Structural Slab on Grade loads from other portions of the structure to the soil

    22

    P P P

  • Type D Structural Slab on Grade Designed for Code Defined Factored Loads

    Design Governed by ACI 318 Reinforced with mild steel or post-tensioning tendons

    Cracked Section for mild steel design.

    PT design as cracked or uncracked. (minimum mild steel?)

    Designed per Chapter 22 Plain Structural Concrete

    Uncracked Section

    Position and Detailing of Reinforcement Important

    Joint Spacing Typically for Construction Process Reinforcing index typically higher; thus smaller well distributed cracks.

    23

  • Design Parameters Effecting Slab Design / Type

    Use: Loading (uniform, concentrated, rack, wheel, vibration) Exposure

    Materials and Subgrade: Concrete Mix Design: Strength / Curing Subgrade: Strength and Uniformity Placement of Vapor Retarder (if any)

    Safety Factors Analysis Technique

    Code Requirements

    24

  • Use: Loading and Exposure

    Residential and Commercial Expansive Soils (PTSOG) Wall Loads (Vertical) Diaphragm Loads Stair Stringers

    Industrial Point Loads (Posts and

    Racks) Forklifts Wear Surface Durability

    Floor Finish Rigid (joint layout) Flexible (concealing)

    Tolerance of Owner for Imperfections

    25

  • Materials and Subgrade Concrete Slab

    Strength (fc >/= 2,500 psi) Mix Design Placement and Curing

    Sub-grade Modulus (k) Pounds per Square Inch per Inch

    Deflection (PCI) from estimate or Geotechnical Engineer

    Allowable Bearing Pressure Pounds per Square Foot (PSF)

    allowable from Geotechnical Engineer

    Radius of Relative Stiffness Function of thickness, subgrade

    modulus, and concrete modulus of elasticity

    26

  • cffr '5.7=

    ACI 318 - 08 (eqn. 9-10) Empirically

    27

  • Subgrade Modulus k

    Simplified engineering variable based on the assumption of homogeneous linear elastic subgrade behavior. Subgrade load / deformation relationship is:

    Non-linear Not a fundamental soil property

    k will vary based on Type of soil structure (density, moisture content, etc.) Prior loading Width and shape of loaded area Depth of subgrade Magnitude of load Duration of load

    28

  • Subgrade Modulus k nevertheless, field determination

    ASTM D1196 Plate Load Field Test 30 diameter bearing plate Several tests over project

    area to obtain representative k.

    29

  • 30 * From Ringo, Boyd C., and Anderson, Robert B., Designing Floor Slabs on Grade, pg 143, 1992

  • Radius of Relative Stiffness,l

    31

    42

    3

    ))(1(12)(

    ktEl c

    =Ec = Concrete Modulus t = slab thickness = Poisson's ratio k = subgrade modulus

  • Factors on the Factor of Safety

    Ratio of r to t (safety factor) Subgrade Preparation Shrinkage Stress (function of concrete mix and curing) Load Repetition Fatigue and Impact Client Perception

    32

  • Typical Factors of Safety

    Load Type Commonly Used F.S.

    Occasionally Used F.S.

    Moving Wheel Loads 1.7 to 2.0 1.4 to 2.0+

    Concentrated Rack and Post Loads

    1.7 to 2.0 Higher under special circumstances

    Uniform Loads 1.7 to 2.0 1.4 lower limit

    Line and Strip Loads 1.7 2.0 conservative upper limit

    Construction Loads 1.4 to 2.0

    33

  • Methods of Analysis/Design

    PCA (Portland Cement Association) WRI (Wire Reinforcing Institute) COE (Corps of Engineers) PTI (Post Tensioning Institute)

    Numerical Solution (Ringo) Various Finite Element Solutions

    PCA Mats Ram Concept / Elements RISA

    34

  • PCA Method (Portland Cement Association)

    Chart Form Solution for Wheel, Rack, and Post Loadings Solutions based on slab analyzed with a load layout on an area

    of slab having a dimension equivalent to 3 times the radius of relative stiffness, l Joints should be reinforced (continuity)

    Reinforcement for Shrinkage and Temperature effects only.

    Based on limiting tension on bottom of the slab.

    Charts developed for each value of subgrade modulus, interpolation between charts allowed.

    35

  • PCA Method Example 1 Post Load

    (PCA Axle Load Charts)

    Given: Service Load = 12,000 lbs (equivalent to 24k axle load) Base Plate = 12 x 12 Subgrade Modulus = 150 pci Fc = 3,000 psi Safety Factor = 2.0 Poissons Ratio, = 0.15

    36

    Calculated Variables: Modulus of Rupture, fr = 411 psi Allowable Stress = 205 psi Stress/1000lb axle = 205/24 = 8.5 psi / 1 k axle (set wheel spacing to 3l, iterative process)

  • 37

    Iterative Solution: Thickness = 8.5

    Explanation: s > 3l check at 8.5, l = 32.3 3l = 96.9 OK Selection of small s will yield a large t, corresponding to a larger 3l, and require iteration.

  • WRI Method (Wire Reinforcement Institute)

    Nomographs Utilized to Solve for Slab Thickness

    Developed based on a discrete element computer modeling of a slab continuum on a Winkler foundation (soil as linear springs).

    3 step iterative process

    1st solves for relative stiffness of system based on material and subgrade properties and assumed slab thickness

    2nd uses stiffness parameter and loading geometry to solve for slab moment

    3rd uses slab moment and Modulus of Rupture/Safety Factor to give required slab thickness

    38

  • WRI Method Example 2 Post Load (single axle wheel charts)

    39

    Given: (same for comparison) Service Load = 12,000 lbs Base Plate = 12 x 12 Subgrade Modulus = 150 pci Fc = 3,000 psi Safety Factor = 2.0 Poissons Ratio, = 0.15

    Calculated Variables: Modulus of Rupture, f r = 411 psi Allowable Stress = 205 psi Ec = 57,000 sqrt(fc) = 3122 ksi Set s = 96 based on l from Example 1

  • Step 1 Assume Thickness, D/k = 12x105 Plate area = 144 in2 Eq. Circle dia. = 13.5

    40

  • 41

    s=96 0 add. moment.

    Step 2 M = 212 inlb / in / kip (ftlb / ft / kip) Step 3 I8.5 = 614.1 in4 S = 144.5 in3 so, = 212(12)(12)/144.5 = 211 psi 205 psi OK

  • Radius of Relative Stiffness Examples 1 and 2

    42

    3

    42

    3

    )150)(15.01(12)5.8(3122000

    ))(1(12)(

    3122000300057000'57000

    =

    =

    ===

    ktEl

    cfE

    c

    Radius of relative stiffness, l = 32.3 Verify no other loads, joints, or edges within 3l = 8-0 Use 8.5 slab, size reinforcing based on preferred method to

    allow joint spacing of approximately 16. Ok at 2 to 3 per inch for Type A Slab

    42

  • COE Method (Corps of Engineers / ARMY TM)

    Chart Form Solution for Required Slab Thickness

    Developed based on Westergaards (c.1920) formula for edge stresses in a concrete slab.

    PRESET design variables:

    Impact factor of 1.25 Concrete Modulus of Elasticity, Ec = 4000 ksi (fc 4,900 psi) Factor of Safety, F.S. 2.0

    2 step solution

    Determine design index category from Table based on nature of loading.

    Determine thickness based on k and r from chart. 43

  • COE Method

    44

    Begin with Assumed Flexural Strength fr

    If Ec = 4,000 ksi, fr 530 psi

  • PTI Method (Post Tensioning Institute)

    Slab thicknesses solution based on allowable slab tension considering pre-compression from post-tensioning and calculated slab design moments induced by shrinking or swelling soils.

    Post tensioning force based on desired minimum residual prestress, length between joints, and subgrade drag.

    Design for Edge Lift and Center Lift Conditions

    45

  • Numerical Solution Example 3 - Post Load

    Equation Solution from Ringo and Anderson, 1996 Design Parameters / Variables

    Factored Point Load, Ps = 12k, or Pu Ps(SF)=24k Subgrade Modulus, k = 150 pci Square Base plate Dimension, b = 12 in fc = 3000 psi Poissons Ratio, = 0.15 Safety Factor = 2.0

    46

  • Numerical Solution (Ringo) Example 3

    41047.53000

    03.0'

    03.0 === xcf

    A

    47

    614,116,503000000,915'000,915 === xcfxB

    400,110,3)12(150)( 44 === bkC

    7400,110,3

    )(614,116,50log)1047.5)(000,24(3

    42

    =

    =

    t

    txt

    =

    CtBAPt u

    )(log)(3

    2

    Where,

    and

    and

    Therefore,

    inches

  • Numerical Solution Example 3

    Punching Shear Check ACI 318 Chapter 22 7 Slab

    kkVchbcfVc

    so

    and

    bhb

    where

    hbcfhbcfVc

    o

    o

    oo

    2438))((')66.2(6.0

    0.1

    "62)125.3(4)2

    (4

    ))(('66.2))(('38

    34

    >=

    =

    =

    =+=+=

    +=

    48

  • Finite Element Modeling - FEM

    Finite Element Modeling Solution Slab moments, Bearing pressures Deflections

    Shear must be calculated by hand (typically) Element size and Model Area from

    Radius of relative stiffness Nature of loading Actual slab geometry

    Capable of considering complicated loading Slab geometry changes / steps / joints

    49

  • FEM Software Example 4 Post Load

    Factored load entered as surface load on 3 square elements Pu = 24.0 kips Ps = 12.0 kips (SF = LF = 2.0 for comparison with previous examples)

    Capacity Analyzed per ACI318 Chap. 22 Subgrade Modulus, k= 150 pci = 259 kcf

    Spring Constant = 5.4 k/inch on 6x6 grid Thickness of slab set to 8.5 Modeled area = 3l = 8 ft x 8 ft

    50

  • 51

    FEM Software Example 4 Post Load

  • Calculate Stress Example 4

    ksiI

    Mc 248.0

    12)5.8(12

    )25.4)(12(99.23 ==

    52

    ftkftkftMu /99.2'5.5

    44.16 ==

    Moments averaged over 2X the radius of Relative Stiffness, therefore,

    Design Moment from Analysis,

  • ACI 318 Chapter 22 Example 4

    ftkft

    ftkftMn

    ScfMn

    99.298.1)5.144(3000)5(6.0

    '5

  • Analysis / Design Summary PCA, WRI

    Limited by Published Tables, Non-Structural Loads Quick Solution for Rack and Wheel, Can Adapt for Post Loads and Wall Loads

    COE Limited by Published Tables, Non-Structural Loads Difficult to Modify Hard Wired Design Variables Limited to Wheel Loadings and Load Classes

    FEM Most Versatile modeling of multiple loadings and geometries Requires Understanding of meshing and calculated stress

    distribution (Experience) Most Time Consuming

    54

  • Detailing Joints and Vapor Retarders

    55

    Allowable tensile stress is meaningless if the slab is already cracked.

  • Control Joints & Vapor Retarders Crack Control Control Joint Spacing &

    Layout Guidelines Details & Conditions

    Shrinkage Crack Control Subgrade Drag

    Equation & Example

    56

    Vapor Retarders Location based on ACI

    Flowchart Types of Vapor Retarders

  • Control Joint Spacing & Layout

    Spacing 2-3 times the slab thickness in feet Type A Plain Concrete Slabs Increase for W.W.F. and Bar Reinforcing (Subgrade Drag Equation) Increase for Post Tensioning

    Layout on Regular Grid No Joint Offsets unless

    Construction Joint Pour Strip

    Release from Restraint Columns Walls Turn-Downs

    57

  • Control Joint Spacing & Layout considerations

    Maximum control joint spacing for a given project: Type of Use/Occupancy

    Parking Garage Commercial Light Manufacturing Churches, Schools, Office Buildings Etc.

    Concrete Specifications How tight is the specification in regards to required strength,

    water/cement ratios, & slump? (curling, shrinkage) Vapor Retarder Location

    Curling Drag

    Project Type Exposure and Risk: Is this a high risk project (condominium!) where

    every little concrete crack is going to be scrutinized?

    58

  • Control Joint Spacing & Layout

    59

    Placed at slab discontinuities column, bearing wall, slab step,

    elevator pit, loading dock, etc.

    Cut in a timely manner. Random shrinkage cracks will

    develop within 12 to 16 hours of slab placement.

    Create weakened planes to attract shrinkage cracks.

    Cut the slab into approximate

    rectangles w/ aspect ratios < 1.25 preferably,

    (1.5 to 2 max.)

  • Control Joint Spacing & Layout

    60

    Control joints must be continuous or must be terminated at a construction joint.

    Otherwise: Random cracks may appear!

    OR

  • Control Joint Spacing & Layout

    61

    Re-entrant corners Place a construction joint to

    separate the slab pieces. (Best Choice)

    Extend two control joints at 90 from corner.

  • Control Joint Spacing & Layout

    62

    Thickened edges (turndowns) Crack may wander due to

    increased stiffness of thickened section.

  • Control Joint Spacing & Layout

    Reinforced Joints / Dowels Resists Curling at Control and Construction Joints

    Shear Transfer Across Control and Construction Joints

    Enhanced performance over keyed joints after shrinkage

    Explicitly Designed Based on: Bearing on Concrete Concrete Breakout (ACI 318 Appendix D as a guide.) Bending and Shear of Dowel of Plate Shear Friction (Saw-cut joints reinforcing cut only)

    63

  • Control Joint Spacing & Layout reinforced joints / dowels

    Continued Slab Reinforcing Reinforcing Bar or WWF Steel Area Reduced at Joint Weakened Plane to Attract Crack

    Smooth Dowels Round or Square Bonded on one side of joint only Eliminates Restraint Longitudinally

    64

  • Control Joint Spacing & Layout reinforced joints / dowels

    65

    Plates Diamond or Tapered Rectangular Bonded on one side of joint only Eliminates Restraint Longitudinally AND Transversely

  • Control Joint Spacing & Layout

    Field preparation problems: Even if the Drawings are Perfect!

    Saw cut not in the right location Concrete not up to specifications

    Too Wet Overworked Surface Inadequate Curing Too Hot / Exposed to Direct Sun

    Control Joints not cut in time.

    66

  • Shrinkage Crack Control

    The presence of reinforcing steel will not prevent conventional Portland cement concrete from cracking due to shrinkage of the concrete as it hydrates, dries out, and hardens.

    Shrinkage cracking is caused by the restraint to shrinkage which is predominantly related to the materials of the concrete mix, the roughness of the base upon which the slab is placed, and the effectiveness of the curing process.

    The steel, while not preventing such cracking, will hold the cracks tight (hairline), maintaining aggregate interlock, and mitigating faulting of the slab.

    67

  • Shrinkage Crack Control

    ss f

    FLwA2

    =

    68

    Subgrade Drag Equation Used to select adequate area of

    steel reinforcing to be used for shrinkage crack control.

    AS = area of reinforcing steel (in2/lf) F = coefficient of friction L = slab length between free ends (joints) (ft) w = weight of concrete slab (psf) fS = allowable steel stress (psi) (usually 2/3 Fy)

  • Subgrade Drag Equation Coefficients of Friction

    Polyethylene Sheeting 0.5-0.6 (Vapor Retarder placed above subbase stone)

    Sand Layer 1.0 Granular Subbase 1.5

    Blended Sand & Gravel 1.8 Plastic Soils 2.0

    69

  • Subgrade Drag Example

    )60000(322

    25.106)25(5.1

    psi

    psfftAs

    =

    70

    Given: Slab thickness, t = 8.5 Slab length, L = 25 Fy = 60 ksi

    Deformed Bars & WWF WWF may have higher

    yield strengths.

    Solutions: #3 @ 26 O.C.

    Spacing Limited to 3 x t 6x6-W2.9xW2.9 WWF 14 Minimum Spacing

    Recommended for Constructability!

    ftinAs /05.02=

  • Shrinkage Crack Control

    Specify / Control Largest practical aggregate size. Minimize aggregate gap-grading. 90 day strengths (where possible). Lowest fc for application. Reduce Portland Cement content. Breathable low moisture subgrade.

    71

  • Vapor Retarders Proper moisture protection is desirable for any slab on grade where the floor will be covered by tile, wood, carpet, impermeable floor coatings, or where the floor will be in contact with any moisture-sensitive equipment or products.

    ACI Committee Report 302.1-99

    72

  • Vapor Retarders Location based on ACI Flow-chart Recommendations Types of Retarders/Barriers

    Polyethylene Sheeting Highly susceptible to punctures & tears

    Extruded or Premolded Stego Wrap, etc.

    Sensitive Floor Coverings VCT, Glue Applied Carpet

    Critically Sensitive Floor Coverings Rubber, Vinyl, Epoxy, Wood, Linoleum

    73

  • Vapor Retarders Flow Chart Does the slab have a vapor-sensitive

    covering or in a humidity-controlled area?

    YES

    NO

    See Figure 1

    Vapor retarder/barrier is required

    Slabs in humidity-controlled area Slabs with vapor- sensitive coverings

    See Figure 2 (2) Will the slabs and base material be placed in weatherproof environment (under roof)? (1)

    See Figure 2 (2) See Figure 3

    YES NO (1) If granular material is subjected to future moisture infiltration, use Figure 2.

    (2) Reduced Joint Spacing, Low Shrinkage Design, or other measures likely needed. 74

  • Vapor Retarders Figures

    75

  • Subgrade Preparation drawings

    Essential to Provide the Engineering Parameters Governing the Design. Explicitly indicate or performance specify what is required in the field. To be Verified in the field by the project Geotechnical Engineer.

    Geotechnical Report is Not a contract document and is not typically

    included in the project manual. Report is typically referenced as provided by the owner for information only.

    Indicate:

    Recommendations of Geotechnical Report, or Assumed Quantities to be Verified in the Field

    Limit Risk (Ringo): Due to lack of specific geotechnical information, this slab has been designed using a subgrade modulus of k =____ pci and design loading of __________. The designer is not responsible for differential settlement, slab cracking, or other future defects resulting from unreported conditions mitigating the above assumptions.

    76

  • Concrete Slabs on Grade Summary

    I. Building Code I. Non-structural II. Structural

    II. Types of Slabs on Grade I. Plain (Type A) II. Reinforced Shrinkage and Temperature (Types B and C) III. Structural (Type D)

    III. Design Parameters I. Use II. Exposure III. Materials (Concrete and Subgrade)

    IV. Methods of Analysis I. Allowable Tension Stress II. LRFD Design

    V. Crack-Control, Vapor Retarders, and Subgrade Preparation

    77

  • Concrete Slabs on Grade Analysis, Design, and Detailing

    QUESTIONS?

    SE University, March, 2015 www.LearnWithSEU.com

  • CHALLENGE QUESTION:

    Which Slab on Grade Reference Code/Text is the answer to this sessions Challenge Question?

    A. IBC 2009 B. ACI 318 08 C. ACI 360R 06 D. Designing Floor Slabs on Grade

    Please circle the answer that is announced so that you can use the information to complete your quiz (NY) or form (FL) for PDH.

    Slide Number 1Concrete Slabs on GradeAnalysis, Design, and DetailingConcrete Slabs on GradeReferenced Codes / TextsACI 360 Definition:Concrete Slabs on GradeConcrete Slabs on GradeFirst Project QuestionsSlide Number 7Notes on General Guidelines Concrete Slabs on GradeconfessionInternational Building CodeWhat Applies?non-structural and structural concreteInternational Building CodeSection 1910 Minimum Slab ProvisionsInternational Building CodeSection 1904 Durability RequirementsACI 318Section 1.1.7The Construction DocumentsConcrete Slabs on Grade - SeismicThe Construction DocumentsConcrete Slabs on GradeACI 360 The Slab on Grade...Slabs on Grade Types ACI 360Slide Number 18Slide Number 19Slide Number 20Slide Number 21Type D Structural Slab on Gradeloads from other portions of the structure to the soilSlide Number 23Design ParametersEffecting Slab Design / TypeUse: Loading and ExposureMaterials and SubgradeSubgrade Modulus kSubgrade Modulus knevertheless, field determinationSlide Number 30Radius of Relative Stiffness,lFactors on the Factor of SafetyTypical Factors of SafetyMethods of Analysis/DesignPCA Method(Portland Cement Association)PCA MethodExample 1 Post Load(PCA Axle Load Charts)Slide Number 37WRI Method(Wire Reinforcement Institute)WRI MethodExample 2 Post Load(single axle wheel charts)Slide Number 40Slide Number 41Radius of Relative StiffnessExamples 1 and 2COE Method(Corps of Engineers / ARMY TM)COE MethodPTI Method(Post Tensioning Institute)Numerical SolutionExample 3 - Post LoadNumerical Solution (Ringo)Example 3Numerical SolutionExample 3Finite Element Modeling - FEMFEM SoftwareExample 4 Post LoadSlide Number 51Calculate StressExample 4ACI 318 Chapter 22Example 4Analysis / Design SummaryDetailingJoints and Vapor RetardersControl Joints & Vapor RetardersControl Joint Spacing & LayoutControl Joint Spacing & LayoutconsiderationsControl Joint Spacing & LayoutControl Joint Spacing & LayoutControl Joint Spacing & LayoutControl Joint Spacing & LayoutControl Joint Spacing & LayoutControl Joint Spacing & Layoutreinforced joints / dowelsControl Joint Spacing & Layoutreinforced joints / dowelsControl Joint Spacing & LayoutShrinkage Crack ControlShrinkage Crack ControlSubgrade Drag EquationCoefficients of Friction Subgrade Drag ExampleShrinkage Crack ControlVapor RetardersVapor RetardersVapor Retarders Flow ChartVapor Retarders FiguresSubgrade PreparationdrawingsConcrete Slabs on GradeSummarySlide Number 78Slide Number 79