ACI VN 2011 Topic 1 (David Darwin)

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    Building Code Requirements forStructural Concrete (ACI 318M-11)

    Overview of ACI 318MDesign of Prestressed ConcreteEvaluation of Existing Structures

    David Darwin

    Vietnam Institute for Building Science andTechnology (IBST)

    Hanoi and Ho Chi Minh City

    December 12-16, 2011

    This morning

    Overview of ACI 318M-11

    Design of Prestressed Concrete(Chapter 18)

    Strength Evaluation of Existing

    Structures (Chapter 20)

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    This afternoon

    Analysis and design of

    Flexure

    Shear

    Torsion

    Axial load

    Tomorrow morning

    Design of slender columns

    Design of wall structures

    High-strength concrete

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    Overview of ACI 318M-11

    Legal standing

    Scope

    Approach to Design

    Loads and Load Cases

    Strength Reduction Factors

    Legal standing

    Serves as the legal structural concrete

    building code in the U.S. because it is

    adopted by the general building code (IBC).

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    Scope

    ACI 318M consists of 22 chapters and 6

    appendices that cover all aspects of building

    design

    Chapters

    1. GENERAL REQUIREMENTS

    Scope, Contract Documents, Inspection,

    Approval of Special Systems

    2. NOTATION AND DEFINITIONS

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    Chapters

    3. MATERIALS

    Cementitious Materials, Water, Aggregates,

    Admixtures, Reinforcing Materials

    4. DURABILITY REQUIREMENTS

    Freezing and Thawing, Sulfates, Permeability,

    Corrosion

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    5. CONCRETE QUALITY, MIXING, AND PLACING

    6. FORMWORK, EMBEDMENTS,

    AND CONSTRUCTION JOINTS

    7. DETAILS OF REINFORCEMENT

    Hooks and Bends, Surface Condition, Tolerances,

    Spacing, Concrete Cover, Columns, Flexural Members,

    Shrinkage and Temperature Steel, Structural Integrity

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    8. ANALYSIS AND DESIGN GENERAL

    CONSIDERATIONS

    Design Methods; Loading, including Arrangement of

    Load; Methods of Analysis; Redistribution of Moments;

    Selected Concrete Properties; Requirements for

    Modeling Structures (Spans, T-beams, Joists...)

    9. STRENGTH AND SERVICEABILITY

    REQUIREMENTS

    Load Combinations, Strength Reduction Factors,Deflection Control

    10. FLEXURE AND AXIAL LOADS

    Beams and One-way Slabs, Columns, Deep Beams,

    Bearing

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    11. SHEAR AND TORSION

    12. DEVELOPMENT

    AND SPLICES OF REINFORCEMENT

    13. TWO-WAY SLAB SYSTEMS

    14. WALLS

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    19. SHELLS AND FOLDED PLATE MEMBERS

    20. STRENGTH EVALUATION OF EXISTING

    STRUCTURES

    21. EARTHQUAKE-

    RESISTANTSTRUCTURES

    22. STRUCTURAL PLAIN CONCRETE

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    Appendices

    A. STRUT-AND-TIE MODELS*

    B. ALTERNATIVE

    PROVISIONS FOR REINFORCED AND

    PRESTRESSED CONCRETE FLEXURAL AND

    COMPRESSION MEMBERS

    C. ALTERNATIVE LOAD AND STRENGTHREDUCTION FACTORS

    D. ANCHORING TO CONCRETE*

    E. STEEL REINFORCEMENT INFORMATION

    F. EQUIVALENCE BETWEEN SI-METRIC, MKS-

    METRIC, AND U.S. CUSTOMARY UNITS OF

    NONHOMOGENOUS EQUATIONS IN THE CODE

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    Approach to design

    Qd= design loads

    Sn = nominal strength

    Sd= design strength

    M = safety margin

    Design Strength Required Strength

    Sd= Sn Qd

    Sd = design strength = Sn

    = strength reduction factor

    = load factors

    Qd = design loads

    and in Chapter 9 of ACI 318M

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    Loads Qd

    specified in ASCE 7, Minimum Design Loads

    for Buildings and Other Structures

    American Society of Civil Engineers (ASCE)

    Reston, Virginia, USA

    Loads

    Dead loads (D)*

    Live loads (L)*

    Roof live loads (Lr)*

    Wind loads (W)

    full loadEarthquake loads (E) full load

    Rain loads (R)*

    Snow loads (S)*

    * Service-level loads

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    Loads

    Impact include in L

    Self-straining effects (temperature, creep,

    shrinkage, differential settlement, and

    shrinkage compensating concrete) (T)

    Fluid loads (F)

    Lateral soil pressure (H)

    Factored Load = U= Qd

    Load cases and load factors

    by ASCE 7 and ACI 318M

    U= 1.4D

    U= 1.2D + 1.6L + + 0.5(Lror S or R)

    U= 1.2D + 1.6(Lror S or R) + (1.0L or 0.5W)

    U= 1.2D + 1.0W+ 1.0L + 0.5(Lror S or R)

    U= 1.2D + 1.0E+ 1.0L + 0.2S

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    U= 0.9D + 1.0W

    U= 0.9D + 1.0E

    Load cases and load factorsby ASCE 7 and ACI 318M

    If Wbased on service-level forces, use 1.6Wplace of

    1.0W

    If Ebased on service-level forces, use 1.4Ein placeof 1.0E

    Details of other cases covered in the Code

    Load factors by ACI 318M

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    Strength reduction () factors

    Tension-controlled sections 0.90

    Compression-controlled sections

    Members with spiral reinforcement 0.75

    Other members 0.65

    Shear and torsion 0.75

    Bearing

    0.65

    Post-tensioning anchorages

    0.85

    Other cases 0.60 0.90

    Tension-controlled and compression-

    controlled sections

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    T-beam

    d

    h

    b

    hf

    bw

    As

    dt

    Strain through depth of beam

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    Design Strength (x nominal strength) must

    exceed the Required Strength (factored load)

    Bending Mn Mu

    Axial load Pn Pu

    Shear Vn Vu

    Torsion Tn Tu

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    Load distributions and modeling

    requirements

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    Structure may be analyzed as elastic

    using properties of gross sections

    Ig= moment of inertia of gross (uncracked)

    cross section

    Beams: Ib = Ig Iweb =

    Columns: Ic= Ig=

    wb h3

    12

    bh3

    12

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    Analysis by subframes

    1. The live load applied only to the floor or roof

    under consideration, and the far ends of

    columns built integrally with the structure

    considered fixed

    2. The arrangement of load may be limited to

    combinations of

    (a)factored dead load on all spans with full

    factored live load on alternate spans, and(b)factored dead load on all spans with full

    factored live load on two adjacent spans

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    (a)

    (b)

    (c)

    Moment and shear envelopes

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    Columns designed to resist

    (a) axial forces from factored loads on all floors

    or roof and maximum moment from factored

    live loads on a single adjacent span of the

    floor or roof under consideration

    (b) loading condition giving maximum ratio of

    moment to axial load

    More on columns

    For frames or continuous construction, consider

    effect of unbalanced floor or roof loads on both

    exterior and interior columns and of eccentric

    loading due to other causes

    For gravity load, far ends of columns built integrallywith the structure may be considered fixed

    At any floor or roof level, distribute the moment

    between columns immediately above and below

    that floor in proportion to the relative column

    stiffness

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    Simplified loading criteria

    Beams, two

    or more spans

    Beams, two

    spans only

    Slabs,

    spans 3 m

    Beams, col stiffnesses 8 beam stiffnesses

    u nM w l2factor

    ln

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    Composite

    Max ve right

    Max ve leftMax +ve

    Allowable adjustment in maximum

    moments for t 0.0075

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    Design of prestressed concrete

    (Chapter 18)

    Behavior of reinforced concrete

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    Reinforced concrete under service loads

    Theory of prestressed concrete

    Stresses

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    57

    Methods of prestressing concrete members

    Post-Tensioning

    Pretensioning

    Prestressing steels

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    Strength of prestressing steels available in

    U.S.Seven-wire strand: fpu 1725, 1860 MPa

    fpy(stress at 1% extension) 85% (for stress-relieved strand) or 90% (for low-relaxation

    strand) of fpu

    fpu = ultimate strengthfpy= yield strength

    Strength of prestressing steels available in

    U.S.

    Prestressing wire: fpu 1620 to 1725 MPa(function of size)

    fpy(at 1% extension) 85% of fpu

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    Strength of prestressing steels available in

    U.S.

    High-strength steel bars: fpu 1035 MPa

    fpy 85% (for plain bars) and 80% (for deformedbars) of fpu

    fpybased on either 0.2% offset or 0.7% strain

    Maximum permissible stresses in

    prestressing steel

    Due to prestressing steel jacking force:

    0.94fpy0.80fpumanufacturers recommendation

    Post-tensioning tendons, at anchorage devices

    and couplers, immediately after force transfer:

    0.70fpu

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    Prestressed concrete members are

    designed based on both

    Elastic flexural analysis

    Strength

    Elastic flexural analysis

    Considers stresses under both the

    Initial prestress force Piand the

    Effective prestress force Pe

    Note: = concrete compressive strength

    = initial concrete compressive

    strength (value at prestress transfer)

    cf

    cif

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    Classes of members

    U uncracked calculated tensile stress in

    precompressed tensile zone at service

    loads = ft

    T transition between uncracked and

    cracked < ft

    C cracked ft>

    . cf0 62

    . cf0 62 . cf10

    .

    cf10

    cf in MPa

    Concrete section properties

    e = tendon eccentricity

    k1= upper kern point

    k2= lower kern point

    Ic

    = moment of inertia

    Ac= area

    radius of gyration:

    r2 = Ic/Ac

    section moduli:

    S1 = Ic/c1

    S2 = Ic/c2

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    Bending moments

    Mo = self-weight moment

    Md= superimposed dead load moment

    Ml= live load moment

    Concrete stresses under Pi

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    Concrete stresses under Pi + Mo

    Concrete stresses under Pe + Mo + Md+ Ml

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    Maximum permissible stresses in concrete at

    transfer(a) Extreme fiber stress in compression, except as in

    (b),

    (b) Extreme fiber stress in compression at ends of

    simply supported members

    (c) Extreme fiber stress in tension at ends of simply

    supported members *

    (d) Extreme fiber stress in tension at other locations

    *

    * Add tensile reinforcement if exceeded

    . 0 60 cif

    . 070 cif

    . cif025

    . cif050

    Maximum permissible compressive

    stresses in concrete at service loads

    Class U and T members

    (a) Extreme fiber stress in compression due toprestress plus sustained load

    (b) Extreme fiber stress in compression due to

    prestress plus total load

    . 0 45 cf

    . 0 60 cf

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    Flexural strength

    Aps T = Apsfps

    ps

    Stress-block parameter 1

    1

    1

    1

    0.85 for 17 MPa 28 MPa

    For between 28 and 56 MPa,decreases by 0.05 for each 7 MPa

    increase in

    0.65 for 56 MPa

    c

    c

    c

    c

    f

    f

    f

    f

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    Stress in prestressing steel at ultimate

    Members with bonded tendons:

    p =Aps/bdp = reinforcement ratio

    b = width of compression face

    dp= d(effective depth) of prestressing steel

    Members with bonded tendons and non-prestressed bars:

    p pups pu pc p

    f df f

    f d

    11

    andc y cf / f f / f

    and refer to compression reinforcement, sA

    shall be takenpup pc p

    f d. , d . d

    f d

    017 015

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    Members with unbonded tendons with span/depth

    ratios 35:

    but not greater thanfpy or greater thanfpe + 420 MPa

    fpe = stress inAps atPe=e

    ps

    P

    Members with unbonded tendons with span/depth

    ratios > 35:

    but not greater thanfpy or greater thanfpe + 210 MPa

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    Loss of prestress

    (a) Prestessing steel seating at transfer

    (b) Elastic shortening of concrete

    (c) Creep of concrete

    (d) Shrinkage of concrete

    (e) Relaxation of prestressing steel

    (f) Friction loss due to intended or

    unintended curvature of post-tensioning

    tendons

    Limits on reinforcement in flexural

    members

    Classify as tension-controlled, transition, or

    compression-controlled to determine

    Total amount of prestressed and nonprestressed

    reinforcement in members with bonded

    reinforcement must be able to carry 1.2 cracking load

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    Minimum bonded reinforcementAs in

    members with unbonded tendons

    Except in two-way slabs,As = 0.004Act

    Act= area of that part of cross section

    between the flexural tension face and

    center of gravity of gross section

    DistributeAs uniformly over precompressed

    tension zone as close as possible to

    extreme tensile fiber

    Two-way slabs:

    Positive moment regions:

    Bonded reinforcement not required where tensile

    stress ft

    Otherwise, useAs =

    Nc= resultant tensile force acting on portion of

    concrete cross section in tension under effective

    prestress and service loads

    DistributeAs uniformly over precompressed

    tension zone as close as possible to extreme

    tensile fiber

    c. f0 17

    c

    y

    N

    . f0 5

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    Two-way slabs:

    Negative moment areas at column supports:

    As = 0.00075Acf

    Acf= larger gross cross-sectional area of slab-

    beam strips in two orthogonal equivalent

    frames intersecting at the columns

    DistributeAs between lines 1.5h on outside

    opposite edges of the column support

    Code includes spacing and length requirements

    Two-way slabsUse Equivalent Frame Design Method

    (Section 13.7)

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    Banded tendon distribution

    Photo courtesy of Portland Cement Association

    Development of prestressing strand

    development length

    = transfer length

    ese peps

    Pf f

    A

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    Shear for prestressed concrete members is

    similar to that for reinforced concrete

    members, but it takes advantage of

    presence of prestressing force

    Post-tensioned tendon anchorage zone

    design

    Load factor = 1.2 Ppu = 1.2Pj

    Pj

    = maximum jacking force

    = 0.85

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    Strength evaluation of existing structures

    (Chapter 20)

    Strength evaluation of existing structures

    (Chapter 20)

    When it is required

    When we use analysis and when perform a load test

    When core testing is sufficient

    Load testing

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    A strength evaluation is required

    when there is a doubt if a part or all of a structure

    meets safety requirements of the Code

    If the effect of the strength deficiency is well

    understood and if it is feasible to measure the

    dimensions and material properties required for

    analysis, analytical evaluations of strength

    based on those measurements can be used

    If the effect of the strength deficiency is not well

    understood or if it is not feasible to establish the

    required dimensions and material properties by

    measurement, a load test is required if thestructure is to remain in service

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    Establishing dimensions and material

    properties

    1. Dimensions established at critical sections

    2. Reinforcement locations established by

    measurement (can use drawings if spot

    checks confirm information in drawings)

    3. Use cylinder and core tests to estimate cf

    Core testing

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    If the deficiency involves only the

    compressive strength of the concrete

    based on cylinder tests

    Strength is considered satisfactory if:

    1.Three cores are taken for each low-strengthtest

    2.The average of the three cores

    3.No individual core has a strength 4.8 kN/m2

    L may be reduced as permitted by general

    building code

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    Age at time of loading 56 days

    Loading criteria

    Obtain initial measurements (deflection,

    rotation, strain, slip, crack widths) not more

    than 1 hour before application of the first

    load increment

    Take readings where maximum response is

    expected

    Use at least four load increments

    Ensure uniform load is uniform no arching

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    Take measurements after each load

    increment and after the total load has been

    applied for at least 24 hours

    Remove total test load immediately after all

    response measurements are made

    Take a set of final measurements 24 hoursafter the test load is removed

    Acceptance criteria

    No signs of failure no crushing or spalling

    of concrete

    No cracks indicating a shear failure is

    imminent

    In regions without transverse reinforcement,

    evaluate any inclined cracks with horizontal

    projection > depth of member

    Evaluate cracks along the line of

    reinforcement in regions of anchorage and

    lap splices

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    Acceptance criteria

    Measured deflections

    At maximum load:

    24 hours after load removed:

    ,

    2

    120 000

    t

    h

    1

    4r

    MIN(distance between supports, clear span + )

    2 x span for cantilever

    t h

    Acceptance criteria

    If deflection criteria not met, may repeat the

    test (at least 72 hours after first test)

    Satisfactory if:

    2

    5r

    2 maximum deflection of second test relative to

    postion of structure at beginning of second test

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    Provision for lower loading

    If the structure does not satisfy conditions or

    criteria based on analysis, deflection, or shear,

    it may be permitted for use at a lower load

    rating based on the results of the load test or

    analysis, if approved by the building official

    Case study

    1905 building

    Chicago, Illinois

    USA

    Cinder concrete

    floors

    Load capacity OK for use

    as an office building?

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    Safety shoring

    Deflection

    measurement

    devices

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    Load through

    window

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    Moving lead ingots through the window

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    Load stage 14

    Findings

    Floor could carry uniform load of

    2.4 kN/m2

    Building satisfactory for both apartments (1.9

    kN/m2) and offices (2.4 kN/m2)

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    Summary

    Overview

    Prestressed concrete

    Strength evaluation of existing structures

    118

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    Figures copyright 2010 by

    McGraw-Hill Companies, Inc.

    1221 Avenue of the America

    New York, NY 10020 USA

    Figures copyright 2011 by

    American Concrete Institute

    38800 Country Club Drive

    Farmington Hills, MI 48331 USA

    Duplication authorized or use with this presentation only.

    The Un iversity of Kansas

    David Darwin Ph.D. P.E.

    Deane E. Ackers Distinguished Professor

    Director, Structural Engineering & Materials Laboratory

    Dept. of Civil, Environmental & Architectural Engineering

    2142 Learned Hall

    Lawrence, Kansas, 66045-7609

    (785) 864-3827 Fax: (785) 864-5631

    [email protected]