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ACI 318-08 - Seismic Requirements -- Luis E. Garcia




                  Seismic Design                                                  Chapter 1
                                                                             General Requirements
                   Requirements
                   in ACI 318-08                                                 Modifications in
                                            By:                                     Scope
                                  Luis Enrique García
                   President American Concrete Institute – ACI – 2008-2009          Terminology
                   Partner Proyectos y Diseños Ltda. Consulting Engineers
                             Professor Universidad de los Andes
                                      Bogotá, Colombia




                                                                                 R1.1.9 – Provisions for
                 R1.1.9 – Provisions for                                         earthquake resistance
                 earthquake resistance
                                                                              In this version of ACI 318 (2008), for the first
                                                                              time, earthquake resistance requirements are
               Commentary was expanded to:                                    defined in function of the Seismic Design
                                                                              Category — SDC required for the structure and
                                                                              not directly associated with the seismic risk
                                                                              zone.
                  Explain changes in terminology used
                  Simplify adoption and interaction of                        The minimum SDC to use is governed by the
                  ACI 318-08 with model codes and other                       legally adopted general building code of which
                  documents                                                   ACI 318 forms a part.


                                                                                                                 4




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ACI 318-08 - Seismic Requirements -- Luis E. Garcia




                TABLE R1.1.9.1 — CORRELATION BETWEEN SEISMIC-RELATED
                              TERMINOLOGY IN MODEL CODES                                                                      Chapter 2
                 Code, standard, or resource
                   document and edition
                                                                Level of seismic risk or assigned seismic
                                                                  performance or design categories as
                                                                                                                       Notation and Definitions
                                                                           defined in the Code

               ACI 318-08; IBC 2000, 2003; 2006;
                NFPA 5000, 2003, 2006; ASCE 7-                   SCD*                 SCS                 SCD           There were important changes in
               98, 7-02, 7-05; NEHRP 1997, 2000,                 A, B                  C                 D, E, F        notation of the whole document and all
                               2003
                                                                                                                        individual Chapter notation was moved
                BOCA National Building Code
                                                                                                                        to Chapter 2.
                 1993, 1996, 1999; Standard
                                                                 SPC†                 SPC                 SPC
               Building Code 1994, 1997, 1999;
                                                                 A, B                  C                  D; E
               ASCE 7-93, 7-95; NEHRP 1991,
                      7 93, 7 95;
                             1994
                                                                                                                        There are a few new definitions related
                                                                                                                        to Chapter 21. All definitions, old and
                 Uniform Building Code 1991,                Seismic Zone         Seismic Zone        Seismic Zone       new, were moved to Chapter 2.
                         1994, 1997                             0, 1                  2                  3, 4

              *SDC   = Seismic Design Category as defined in code, standard, or resource document.
              †SPC   = Seismic Performance Category as defined in code, standard, or resource document

                                                                                                5




                              Chapter 21                                                                                  Seismic Design Category and
                                                                                                                          Energy Dissipation Capacity
                         Earthquake-resistant
                              structures
                                                                                                                         SDC          Denomination
                                                                                                                                                          Must comply with in
                                                                                                                    Seismic D i
                                                                                                                    S i i Design   (Energy di i ti
                                                                                                                                   (E      dissipation
                                                                                                                                                              ACI 318-08
                                                                                                                       Category         capacity)

                     Chapter 21 was reorganized in function of                                                          A                                Chapters 1 to 19 and 22
                     Seismic Design Categories (SDC) A, B, C,
                     and D, E, and F in incremental order from                                                                      Ordinary
                     ordinary to special:                                                                               B                                 Chapters 1 to 19, 22,
                                                                                                                                                                and 21.2

                                                                                                                                                          Chapters 1 to 19, 22,
                                          A → B → C → D, E, F                                                           C          Intermediate             and 21.3 y 21.4

                                                                                                                                                          Chapters 1 to 19, 22,
                                                                                                                     D, E, F         Special               And 21.5 to 21.13




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ACI 318-08 - Seismic Requirements -- Luis E. Garcia




                               ACI 318-08 – Chapter 21
                           Earthquake-resistant structures                                            21.1 – General requirements
                                            Content                                                                                    Scope
             21.1 – General requirements
             21.2
             21 2 – Ordinary moment frames                                  B
             21.3 – Intermediate moment frames
                                                                            C                          Chapter 21 contains provisions considered
             21.4 – Intermediate precast structural walls
             21.5 – Flexural members of special moment frames
                                                                                                         to be the minimum requirements for a
             21.6 – Special moment frame members subjected to bending and
                                                                                                         cast-in-place or precast concrete
                      axial load                                                                         structure capable of sustaining a series of
             21.7 – Joints of special moment frames                         D
                                                                                                         oscillations into the inelastic range of
             21.8 – Special moment frames constructed using precast concrete                             response without critical deterioration in
             21.9 – Special structural walls and coupling beams
                                                                            E
                                                                                                               g
                                                                                                         strength.
             21.10 – Special structural walls constructed using precast
                      concrete
             21.11 – Structural diaphragms and trusses                      F                          Therefore, the objective is to provide energy
             21.12 – Foundations
             21.13 – Members not designated as part of the seismic-force-
                                                                                                         dissipation capacity in the nonlinear
                      resisting system
                                                                                                         range of response.




             TABLE R21.1.1 — SECTIONS OF CHAPTER 21 TO BE SATISFIED IN TYPICAL APPLICATIONS
                 Component resisting                  Seismic Design Category (SDC)
                                                                                                            Global Energy Dissipation Capacity
                  earthquake effect,
                       unless                  A              B            C              D
                                             (none)       (21.1.1.4)   (21.1.1.5)     (21.1.1.6)
                                                                                                                          Force                elastic
                   otherwise noted
                                                                                                      Maximum elastic                            maximum elastic
               Analysis and design                                                                                           Fe
                                                           21.1.2       21.1.2      21.1.2, 21.1.3      force demand                             displacement demand
               requirements
               Materials                                    None         None       21.1.4 21.1.7                                                         nonlinear
                                                                                     21.5, 21.6,
               Frame members                                21.2         21.3
                                                                                     21.7, 21.8
                                                                                                                                                         Maximum nonlinear
               Structural walls and                                                                      Yield strength                                  displacement demand
               coupling beams
                                                            None         None           21.9                                 Fy
               Precast structural walls                     None         21.4       21.4,† 21.10
                                             None
               Structural diaphragms and
                                                            None         None           21.11
               trusses                                                                                                            uy    ue     um         Displacement
               Foundations                                  None         None           21.12
               Frame members not                                                                     In several earthquake resistance                            Fe  u
               proportioned
               to resist forces induced by
                                                            None         None           21.13        regulations this is defined through                 R =        = e
               earthquake motions                                                                    parameter R                                                 Fy  uy
               Anclajes                                     None        21.1.8         21.1.8




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ACI 318-08 - Seismic Requirements -- Luis E. Garcia




                         Elastic vs. Nonlinear Demand                                          Current seismic design strategy
                       20                            linear elastic
                                                                nonlinear                     Given an energy dissipation capacity for the structural
                       10                                                                     material and structural system, defined through an R
                  u
                        0                                                                     value depending of the detailing scheme the design
                (cm)                                                                          horizontal seismic force is obtained from:
                             0   1   2   3   4   5    6     7   8    9    10 11 12 13 14 15
                       -10

                       -20                                time (s)                                     Fe
                     0.8                                                                       Fy =
                     0.6
                                                     linear elastic                                    R
                     0.4                                                 nonlinear
              force 0 2
                     0.2                                                                      and the maximum elastic force demand is in turn
                       0                                                                      obtained using Newton’s 2nd Law:
              (1/W)
                    -0.2 0       1   2   3   4   5    6     7   8    9 10 11 12 13 14 15
                    -0.4
                    -0.6
                                                                                               Fe = m a s s × S a (T , ξ )      Acceleration response spectrum
                                                                                                                                from the general building code
                    -0.8                               time (s)




               What would happen if
                energy dissipation
                  capacity is not
                    available?




                                                                                                                                                                 4
ACI 318-08 - Seismic Requirements -- Luis E. Garcia




                                                                                           C.21.1 – General Requirements
              Nonstructural wall
              panel in contact

                                                                                            Compressive strength of concrete fc′ ≥ 21 MPa
              with the structure                           column



                                                                                            Specified compressi e strength of light eight
                                                                                                      compressive              lightweight
             Nonstructural wall                                                             concrete ≤ 35 MPa
             panel separated                               h
             from the structure                                                             For computing the amount of confinement
                                                                                            reinforcement fyt ≤ 700 MPa (= 100,000 psi = 7000
                                                                                            kgf/cm2)
             ACI 318-08 requires (21.1.2) that interaction between structural and
                                                                                            Reinforcing steel must meet ASTM A706. If ASTM
             nonstructural elements that may a ect t e response du g t e ea t qua e
              o st uctu a e e e ts t at ay affect the espo se during the earthquake         A615 is used, it must meet:
             Must be taken into account.                                                       The actual yield strength based on mill tests does not
             Rigid members assumed not to be a part of the seismic-force-resisting             exceed fy by more than 125 MPa.
             system are permitted provided their effect on the response of the system is       The ratio of the actual tensile strength to the actual yield
             considered and accommodated in the structural design.                             strength is not less than1.25
             Consequences of failure of structural and nonstructural members that are
             not a part of the seismic-force-resisting system shall be considered.




                                                                                                                                                              5
ACI 318-08 - Seismic Requirements -- Luis E. Garcia




                                Reinforcing steel                                   21.2 – Ordinary moment frames
                σ
              stress
               MPa
                                    actual tensile strength                         Corresponds to SDC B
                    σu                                                              Beams must have at least two continuous
                                                                                    longitudinal bars along both top and bottom
                    σy                                         failure              faces. These bars shall be developed at the
                                                                                    face of support.                      c1
                                                                                                                   c2
                                     actual yield strength                          Columns having clear
                                                                                    height less than or equal to
                                E                             maximum elongation    five times the dimension c1
                            1            yield elongation                           must be designed for shear in
                                                                                    accordance with 21.3.3.
                                                                                    (shear requirements for intermediate SDC C)
                       O                                                       ε
                                εy                  strain               ε
                                                                         max




              21.3 - Intermediate moment frames                                    21.3 - Intermediate moment frames
                    Requirements for this Section are equivalent to the
                    rest of Chapter 21, but are less strict and have a              Reinforcement details in a frame member
                    lesser scope.
                              p                                                     shall satisfy beam requirements if the
                                                                                                y          q
                                                                                    factored axial compressive load, Pu , d
                                                                                    f      d i l             i l d        does
                    Two alternatives are presented for shear design of              not exceed Ag fc′ 10 .
                    beams and columns:
                           Obtain design shear forces as function of                When Pu is greater reinforcing details must
                           nominal end moments as done for special                  meet column requirements.
                           elements, or
                           use twice the shear from analysis This is
                                                     analysis.
                           equivalent to using the following load                   When a slab-column system without beams
                           combinations:                                            is part of the seismic-force-resisting
                                 U = 1.2D + 1.0L + (1.0E)x2.0
                                                                                    system, reinforcement details in any span
                                                                                    resisting moments caused by E must
                                 U = 0.9D + (1.0E)x2.0                              satisfy 21.3.6.




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ACI 318-08 - Seismic Requirements -- Luis E. Garcia




              21.3 - Intermediate moment frames                  21.3 - Intermediate moment frames
                                                                                        For beams:
                             For beams:
               Moment strength must comply with:
                           g            py                      At both ends of the beam, hoops shall be provided over
                                                                lengths not less than 2h measured from the face of the
                                                                supporting member toward midspan. The first hoop shall
                             −                                  be located not more than 50 mm from the face of the
                            Mn                              −
                                                           Mn   supporting member. Spacing of hoops shall not exceed the
                                      1                         smallest of d/4, 8db of the smaller longitudinal bar, 24db
                                  Mn ≥ ⋅ ( Mn )max .face        of hoop, or 300 mm. Stirrups shall be spaced not more
                                      5
                                                                than d/2 throughout the length of the beam.




                                     +     1 −
                                    Mn ≥     Mn                    2h                            @d/2                  2h
                                           3




                21.3 - Intermediate moment frames                21.3 - Intermediate moment frames
                          For columns
                                                                   Two-way slabs without beams (slab-column frames)
             At both ends of the column, hoops
             shall be provided at spacing so over                  Reinforcement provided to resist Mslab shall be placed
             a length 0 measured from the joint                    within th column strip.
                                                                    ithi the l       ti
             face. Spacing so shall not exceed the
             smallest of 1/2 of the smallest                       Not less than 50% of the reinforcement in the column
             cross-sectional dimension of the                      strip at supports shall be placed within the effective
             column, 8db of the smallest                           slab width defined by lines drawn parallel to the span at
                                                                   1.5 slab depths from the column face .
             longitudinal bar enclosed, 24db of
             the hoop bar, or 300 mm. Outside
             this length spacing must be the one                   Continuous bottom reinforcement in the column strip
                                                                   shall be not less than 33% of the top reinforcement at
             defined in Chapters 7 and 11.
                                         11                        the
                                                                   th support in the column strip.
                                                                              t i th     l     ti
             Length 0 shall not be less than the
             largest of the maximum cross-                         Not less than 25% of the top reinforcement at the
             sectional dimension of the column;,                   support in the column strip shall be continuous
             1/6 of the clear span of the column,                  throughout the span.
             or 450 mm.




                                                                                                                               7
ACI 318-08 - Seismic Requirements -- Luis E. Garcia




                21.3 - Intermediate moment frames                   21.3 - Intermediate moment frames
                                                                  Two-way slabs without beams (slab-column frames)


                                                                    At the critical sections for punching shear, shear
                                                                    caused by factored gravity loads shall not exceed,
                                                                     0.4φVc where Vc must be calculated as defined in
                                                                    Chapter 11 for prestressed and non prestressed
                                                                    slabs.


                                                                    This requirement may be waived if the slab
                                                                    complies with 21.13.6




              21.4 — Intermediate precast structural walls        21.5 — Flexural members of special
                                                                            moment frames
                 Requirements of 21.4 apply to intermediate
                 precast structural walls forming part of the
                       t t    t   l    ll f   i      t f th        A i l force Pu must not exceed 0 10fc′ Ag
                                                                   Axial f           t t        d 0.10
                 seismic-force resisting systems.
                                                                   Clear span of element n must be larger
                 In connections between wall panels, or            than 4d
                 between wall panels and the foundation,
                 yielding must be restricted to steel elements     Ratio bw/h > 0.3
                 or reinforcement..
                                                                   Width bw must comply with:
                 Elements of the connection that are not
                 designed to yield must develop at least 1.5Sy.       bw > 250 mm
                                                                      larger than the width of the supporting
                                                                      element plus 3h/4 at each side




                                                                                                                         8
ACI 318-08 - Seismic Requirements -- Luis E. Garcia




               21.5 — Flexural members of special                 21.5 — Flexural members of special
                         moment frames                                      moment frames
                                                                            Longitudinal reinforcement

                                                                   Steel ratio for negative and positive
                                                                   reinforcement must not be less than:
                                                                                 fc′        1.4
                                                                          ρ≥            ≥
                                                                               4 ⋅ fy       fy
                                                                   but:
                                                                          ρ ≤ 0.025
                                                                   At least two bars continuous top and bottom.




             21.5 — Flexural members of special                   21.5 — Flexural members of special
                       moment frames                                        moment frames
                        Longitudinal reinforcement                          Longitudinal reinforcement
              Moment strength at each section must be at least:
                                                                   Lap splices are permitted if hoops are provided
                          −
                         Mn                             −
                                                       Mn            throughout the splice length. Maximum hoop
                                                                     spacing must not exceed d/4 or 100 mm.
                              Mn ≥ 0.25 ⋅ ( Mn )max .face          No lap splices are permitted in joints or within 2h
                                                                     of column face or where inelastic action is
                                                                     expected.
                                                                           t d


                                 +       −
                                Mn ≥ 0.5Mn




                                                                                                                         9
ACI 318-08 - Seismic Requirements -- Luis E. Garcia




              21.5 — Flexural members of special                                                21.5 — Flexural members of special
                        moment frames                                                                     moment frames
                Hoops must be provided:
                                                                                                 Shear design:
                                                                                                                                 ΔV
                                                                                                                                 Δ e


                                  50 mm                            50 mm                               −
                                                  s ≤d/2                                             M pr                                     n
                                                                                                                                                                       +
                                                                                                                                                                     M pr

                                                                                                         (M )
                                                                                                            +
                                                                                                            pr
                                                                                                                 izq .
                                                                                                                             (
                                                                                                                             −
                                                                                                                         + M pr   )   der .
                                                                                                                                                          (M )
                                                                                                                                                            −
                                                                                                                                                            pr   izq .
                                                                                                                                                                             (
                                                                                                                                                                             +
                                                                                                                                                                         + M pr   )   der .
                                                                                                 ΔVe =                                            ΔVe =
                                                                                                                         n                                               n
                                    2h                            2h
                                                confinement                                       Mpr computed using fypr = 1.25 fy and φ = 1.0
                                                   zones




                   21.5 — Flexural members of special
                                                                                                21.6 — Special moment frame members
                             moment frames
               (Vu)vert. left                                              (Vu)ver. right         subjected to bending and axial load
                                                Pu1   Wu    Pu2


                                                                                                                                 General
                                    Vu(x)
             (Vu)ver. left + ΔVe                ⎡( V )                     − P ⎤
                                                ⎢ u ver.izq. ( u ) ver.der. ∑ u ⎥ n
                                            1                                     1
                                                            + V
                                                ⎣                               ⎦                 Axial force greater than 0.10 ⋅ fc′ ⋅ Ag
             (Vu)ver. left- ΔVe
                                                                         x                        The least section dimension that passes
                                                                        (Vu)vert. right - ΔVe     through the centroid must be greater than
                                                                                                  th     h th     t id      tb           t th
                                        shear
                                     envelope
                                                                                                  300 mm.
                                                                        (Vu)ver. right+ ΔVe
              For design, Vc = 0 if ΔVe is more than 50%                                          Ratio b/h > 0.4
              of required shear strength, or axial force is less than 0.05f’cAg




                                                                                                                                                                                              10
ACI 318-08 - Seismic Requirements -- Luis E. Garcia




              21.6 — Special moment frame members                                                       21.6 — Special moment frame members
                subjected to bending and axial load                                                       subjected to bending and axial load
                                                                                                         Transverse reinforcement in confining zones must comply
                                                                                                                                             g               py
                      Column flexural strength must comply                                                  with:
                      with:                                                                                 Spiral columns:                f′
                                                                                                                                ρ s = 0.12 ⋅              c
                                                                                                                                                        fyt
                                           ∑ Mnc ≥ 1.2∑ Mnb                                                 Columns with hoops:

                     Mnc             Mnc    Mnc                                                                                               0.3 ⋅ s ⋅ bc ⋅ fc′ ⎡⎛ Ag ⎞ ⎤
                      Mnb Mnb                      Mnb Mnc                                                                     Ash =                            ⋅ ⎢⎜     ⎟ − 1⎥
                                                                                                                                                     fyt          ⎢⎝ Ach ⎠ ⎥
                                                                                                                                                                  ⎣           ⎦
            Mnb                        Mnb Mnc           Mnc            Mnb Mnc   Mnb Mnc      Mnb
              Mnc                     Mnc                                                                                                     0.09 ⋅ s ⋅ bc ⋅ fc′
                          (a)                          (b)                          (c)                                        Ash =
                                                                                                                                                     fyt




             21.6 — Special moment frame members                                                        21.6 — Special moment frame members
               subjected to bending and axial load                                                        subjected to bending and axial load
                     hx ≤ 350 mm                                                                           Shear design                                             Mpr

                                                                                                                   (M )                   (        )
                     hx         hx   hx             joint transverse

                                                                                                                                     + M pr
                                                   reinforcement as
                                                     i f         t
                                                   required by 21.7
                                                                                     50 mm                             pr   arriba                     abajo
                                                                              0
                                                                                                            Ve =
             hx                             b
                                                                                          ⎧b / 4
                                                                                                                                     hn
                                                                                          ⎪                                                                                       Ve
                                                  confinement    lap splices in       s ≤ ⎨6d b long.                                                                 hn
                                                        zones     central zone            ⎪s            Mpr corresponds to the maximum moment
                            hc                                                            ⎩ 0
                                                        ⎧h
                                                                                                           strength for the axial load range on the
                                                        ⎪                                                  element (1.25fy and φ=1). Ve cannot be
                                                      ≤ ⎨ hn 6                           ⎧6d b long .
                       ⎧       ⎛ 350 hx ⎞
                                 350-h
                                                  0
                                                        ⎪ 450 mm                      s≤⎨                  less than the one obtained from analysis.
                       ⎪100 + ⎜                         ⎩                                ⎩150 mm
                       ⎪       ⎝   3 ⎟  ⎠                                     0
                                                                                     50 mm
                  s0 = ⎨                                                                                For design Vc = 0 if Ve is more than 50%
                       ⎪ ≤ 150 mm                    joint transverse
                                                                                                           of the required shear or the axial force
                       ⎪ ≥ 100 mm
                       ⎩
                                                   reinforcement as
                                                    required by 21.7                                       is less than 0.05f’cAg
                                                                                                                                                                    Mpr




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ACI 318-08 - Seismic Requirements -- Luis E. Garcia




             21.7 — Joints of special moment frames                        21.7 — Joints of special moment frames
                                                                                   Computation of the shear demand on the joint:
                                General requirements                                            Ve-col
                                                                                   plane to evaluate          M               pr-c
                                                                                           shear Vu                                       column


               When computing shear strength within the joint in
                                                                               Ts′ = 1.25fy As
                                                                                             ′                                           Cc = Ts = 1.25fy As
               special frames all longitudinal reinforcement must be
               presumed to be stressed at 1.25fy.
               Longitudinal reinforcement terminating at a joint must
                                                                          Cc = Ts′ = 1.25fy As
                                                                           ′                 ′                                           Ts = 1.25fy As
               be extended to the far face of the column confined core
               and anchored in tension.                                                                                                       beam
               When th beam l
               Wh the b         longitudinal reinforcement passes
                                     it di l i f         t                                             Mpr-c                    Ve-col
               through the joint , the column dimension parallel to the     Beam in both sides:                          Beam in one side:
               reinforcement cannot be less than 20db largest                                                                 ⎧1.25fy ( As )viga − (Ve )col
               longitudinal bar, for normal weight concrete and 26db      Vu = 1.25fy ( As + As )viga − (Ve )col
                                                                                              ′                               ⎪
                                                                                                                              ⎪
                                                                                                                         Vu ≥ ⎨
               for lightweight concrete.                                                                                      ⎪
                                                                                                                              ⎪1.25fy ( As )viga − (Ve )col
                                                                                                                              ⎩
                                                                                                                                         ′




             21.7 — Joints of special moment frames                        21.7 — Joints of special moment frames
                                                                                     Definition of Aj
                                     Shear strength

                 Joints confined in all four faces
                   φ ⋅ Vn = φ ⋅ 1.70 ⋅ fc′ ⋅ A j

                 Joints confined in three faces or in opposite faces                                            h
                                                                                                                    Aj
                                                                              bw
                   φ ⋅ Vn = φ ⋅ 1.25 ⋅ fc′ ⋅ A j                                                               bw
                 Other joints
                                                                                                                                                          h
                                                                                                                                                              Aj
                   φ ⋅ Vn = φ ⋅ 1.00 ⋅ fc′ ⋅ A j                                                                         bw
                                                                                                                                          x
                                                                                                                                                        ⎧ bw + 2 x
                                                                                                                                                       ≤⎨
                                                                                                                                                        ⎩ bw + h




                                                                                                                                                                     12
ACI 318-08 - Seismic Requirements -- Luis E. Garcia




             21.7 — Joints of special moment frames               21.8 — Special moment frames
                                                                constructed using precast concrete
                 Development for hooks embedded in the             The requirements of 21.8 apply for special
                                                                          q                    pp y     p
                 confined core                                     moment frames built using precast
                                               critical
                                                                   concrete forming part of the seismic-force-
                                              section              resistant system.
                                                          dh       The detailing provisions in 21.8.2 and
                                                                   21.8.3 are intended to produce frames that
                              fy ⋅ d b   db
                                                                   respond to design displacements
                     dh   =                                        esse t a y e o o t c special o e t
                                                                   essentially like monolithic spec a moment
                              5.4 fc′                              frames.
                                                                   The provisions of 21.8.4 indicate that when
                                                                   not satisfying 21.8.2 or 21.8.3 they must
                                                                   satisfy the requirements of ACI 374.1




               21.8 — Special moment frames                       21.9 — Special structural walls
             constructed using precast concrete                        and coupling beams
               Special precast moment frames with ductile          Terminology
               connections must comply with all
                      ti        t       l  ith ll
               requirements for special cast-in-place frames
               and Vn should not be less than 2Ve.

                                                                                              h
               Special precast moment frames with strong
               connections are intended to experience
               flexural yielding outside the connections
                                             connections.
                                                                                                  hw
                    These requirements are applicable
                independently of any of these two situations.                          w
                                                                                                       Vu




                                                                                                                 13
ACI 318-08 - Seismic Requirements -- Luis E. Garcia




                  21.9 — Special structural walls and                             21.9 — Special structural walls
                coupling beams – General requirements                                  and coupling beams
                 Cover                                                                            Flexure design
                                                                20 mm

                                                                                  Design for flexure and flexure and axial load for
                                                                                  structural walls must be performed using the
                                                                                  requirements of Chapter 10.
                 Maximum                                    s       h
                 reinforcement spacing                  s

                                                s
                                                    s
                                                                                  Concrete and developed longitudinal reinforcement
                                                                                  within effective flange widths boundary elements,
                                                                                                          widths,         elements
                                                                    s ≤ 3h        and the wall web shall be considered effective.
                                                                    s ≤ 450 mm

                                            s                                     The effects of openings shall be considered.
                                            s




              21.9 - Special structural walls and                                21.9 - Special structural walls and
                       coupling beams                                                     coupling beams
                                 Flexure design                                  21.9.2
                                                                                 21 9 2 – Reinforcement
               Unless a more detailed analysis is performed,                     The distributed web reinforcement ratios, ρt
               effective flange widths of flanged sections ( I, L, C             and ρ , for structural walls shall not be less
               or T) may be supposed to extend from the face of                  than 0.0025, except that if Vu does not exceed
               the web a distance equal to the smaller of:                       0.083A cv λ fc′ (MPa) = 0.27A cv λ fc′ (kgf/cm2),
                                                                                 ρt and ρ , may be reduced to the values given
                  (a) 1/2 the distance to an adjacent wall web,                  in14.3.
                                         and                                     Separation of reinforcement must not exceed
                  (b) 25 percent of the total wall height.                       450 mm




                                                                                                                                      14
ACI 318-08 - Seismic Requirements -- Luis E. Garcia




                          Minimum steel ratio
                                                                                     Difference between wall
                14.3.2 – Minimum steel ratio of vertical reinforcement ρ
                computed over gross section is:
                                                                                           and column
                   0.0012
                   0 0012  for
                           f deformed bars not larger than Nº 5 ( / ) ó 16M
                                  f                         º (5/8”)
                   (16 mm), with fy not less than 420 MPa.                         14.3.6 — Vertical reinforcement
                   0.0015 for other deformed bars.                                 need not be enclosed by lateral ties
                   0.0012 for welded wire reinforcement    with diameter not       if vertical reinforcement area is not
                   larger than16 mm.
                14.3.3 - Minimum ratio of horizontal reinforcement area to
                                                                                   greater than 0.01 times gross
                gross concrete area, ρt:                                           concrete area, or where vertical
                   0.0020  for deformed bars not larger than Nº 5 (5/8”) ó 16M     reinforcement is not required as
                   (16 mm), with fy not less than 420 MPa.
                                                                                   compression reinforcement.
                   0.0025 for other deformed bars.
                   0.0020 for welded wire reinforcement    with diameter not
                   larger than16 mm.




              21.9 - Special structural walls and                                21.9 - Special structural walls and
                       coupling beams                                                     coupling beams
                                                                                   Nominal shear st e gt must not exceed:
                                                                                    o   a s ea strength ust ot e ceed
             At least two curtains of reinforcement
                l   tt       t i    f i f         t
                                                                                              Vn = Acv ⎡α c λ fc′ + ρ n fy ⎤
                                                                                                       ⎣                   ⎦
             must be used in a wall if Vu exceeds
                                                                                                         αc
             0.17λ A cv fc′ (MPa) = 0.53λ A cv fc′                                 where αc is:
                                                                                                  0.25

                                                                                                  0.17
             (kgf/cm2)
                                                                                                                                          hw
                                                                                                         0    0.5 1.0   1.5   2.0   2.5   w




                                                                                                                                               15
ACI 318-08 - Seismic Requirements -- Luis E. Garcia




                        Wall boundary elements                   Displacement-based boundary element
                Boundary elements must be placed at edges and
                                                                     procedure in ACI 318 (21.9.6.2)
                around openings when inelastic response is         This procedure is based on the compressive
                expected.
                expected ACI 318-08 gives two alternatives to      strain demand at edges of wall when the wall is
                define if boundary elements are needed:            deformed under the maximum expected lateral
                1) Section 21.9.6.2 presents a displacement-       displacement caused by the design earthquake
                   based procedure. Boundary elements are          ground motion.
                   needed or not depending on the compressive      Section 21.9.6.2 is based on the assumption that
                   strain at the edge of wall caused by the        inelastic response of the wall is dominated by
                   seismic lateral deflection, or                  flexural action at a critical, yielding section.
                2) Section 21.9.6.3 requires boundary elements     The wall should be proportioned so that the
                   when the compressive stress at the edge of      critical section occurs at the base of the wall and
                   wall caused by the seismic forces exceeds a     is applicable only to walls continuous from base
                   threshold value.                                to top of the structure.




                Displacement-based boundary element                    Nonlinear response of a wall
                    procedure in ACI 318 (21.9.6.2)
                                                                   P           δ
               The wall should have a single critical
               section under flexure and axial load at the
               base of the wall.
               The zones of the wall in compression must
               be provided with specially reinforced
               boundary elements when the depth of the                         θ p
               neutral axis at nominal strength, c, is greater
               than:
                c≥       w        and      δu                                                                         Plastification
                                              ≥ 0.007                                                               p length
                         ⎛ δu ⎞            hw
                   600 ⋅ ⎜    ⎟
                                                                                      0                        0
                                                                 Wall         Mu My Mcr       φu          φ y φcr
                         ⎝ hw ⎠                                  section           Moment          Curvature




                                                                                                                                       16
ACI 318-08 - Seismic Requirements -- Luis E. Garcia




                             Nonlinear response of wall                                             Nonlinear wall deflection
             Using Moment-area theorems it is possible to show that the                                             Curvature     Deflection      Nonlinear    Nonlinear
             lateral deflection caused by curvature up to yield (green                                               at yield      at yield       curvature    deflection
                                                                                                                                                                (δu−δy)
                                                                                                               w
             zone) is:                                                                                                                   δy
                                                                             b




                                                                                                                   hw

             and the additional deflection caused by nonlinear
             rotation (orange zone) is:
                                                                                                                                              p                    θp
                                                                                                                             φy                     (φu − φy)
                                                                                      The total deflection is:
             Total lateral deflection is then:                                   p
                                                      φ                      a
                                                           (φu− φy)   φy              We can solve for the ultimate curvature
                                                                                      demand and obtain:
                                                                 φu




               Moment-curvature diagram for wall section                                                      What happens at section?
                   M                                            Ultimate curvature
                                                                demand
                  Mn                                                                 At level of                                                                             εcu
                                                                                     displacement
                                                                                                                             φu
                                                                                     demand
                                                                                                                                                                            Strain

                                                                                     At level of                                                                            εc = 0.003
                                                                                     nominal        εs > εy                  φn
                                                                                     strength                                                                  c
                                                                                                                                                                            εc < 0.003
                                                                                                 εs = εy                φy
                                                                                     At level of                                                          cy
                  Mcr                                                                yield in
                                                                                     tension of
                                                                                     extreme           h
                       0                                                         φ   reinforcement
                           φcr      φy           φn       φu                                                                         w




                                                                                                                                                                                         17
ACI 318-08 - Seismic Requirements -- Luis E. Garcia




                           Equation (21-8) deduction                                       Equation (21-8) deduction
               The rotation at the plastic hinge when the displacement
                                                                                  The concrete strain at the extreme fiber in compression
               demand (δu) takes place is:
                                                                                  at ultimate is:



                                                                                  We can then obtain the strain at ultimate for the
               With a plastic hinge length equal to half the wall horizontal      displacement demand:
               length:
                                                                                                               and


               Then the curvature at the wall base when the displacement
               demand occurs is:
                                                                                  The value of   c for a ultimate strain of εcu = 0.003 is:




                           Equation (21-8) deduction                                Need for boundary elements in
              If a 600 value parameter is used instead of 666 in last equation      displacement-based procedure
                                  ε              ε
              and it is solved for cu a value of cu = 0.0033 is obtained,
                                                                                  If equation (21-8) indicates that the value
              which in turn leads to the following equation:
                                                                                  of c is exceeded this is a symptom that
                                                                                          exceeded,
                                                                                  strains greater than εcu = 0.0033 must be
                                                                                  expected and the need to confine the
                                                                                  edge of the wall is warranted in order to
              If the maximum strain at the extreme compression fiber exceeds      prevent spalling of the concrete there.
              εcu = 0.0033 then the value of c obtained from last equation
              would be exceeded. Thus the form ACI 318 presents it:
                       exceeded
                                                                                  In that case ACI 318 prescribes the same
                                      If c is greater than the value obtained     type and amount of confining transverse
                                      boundary elements must be placed            reinforcement that for columns.
                                      along the length where it is exceeded and
                                      a little more.




                                                                                                                                              18
ACI 318-08 - Seismic Requirements -- Luis E. Garcia




                          Boundary elements                              Displacement-based boundary element
                     displacement-base procedure                             procedure in ACI 318 (21.9.6.32
                                                                          Boundary elements must be placed
                                       Mn                                 from the critical section up for a
                                                           εcu            distance not less than the larger of w o
                εs                      0.003
                                                                          Mu/(4Vu).
                                                                          The evaluation is performed for the wall
                                                   c                      when subjected to the nonlinear
                                                       Region where       horizontal design displacements
                                                          boundary        corresponding to the design
                                                       elements must
                                                        be provided
                                                                          earthquake.
                                                                          The value of δu corresponds to the
                                                                          nonlinear roof horizontal displacement.




                     Stress-based boundary element
                     procedure in ACI 318 (21.9.6.3)
                                                                       Stress-based boundary
               Boundary elements must be provided at edges             element procedure in
               and around openings of walls when the maximum
                             p    g                                    ACI 318 (21 9 6 3)
                                                                               (21.9.6.3)                                Pu
               stress at the extreme fiber in compression
               caused by factored loads that include seismic                                                                  Mu
               effects exceeds 0.2 fc′ unless that whole wall is                                                                           Pu          Mu
               confined as a column.                                                  Ptu =
                                                                                              Pu
                                                                                                 −
                                                                                              Ag (
                                                                                                          Mu
                                                                                                         − 300 mm )
                                                                                                                    ≤0             Pcu =      +
                                                                                                                                            2 (   w   − 300 mm )
                                                                                                     w


                         Pu M u ⋅ w
                 fcu =      +        > 0.2 ⋅ fc′                       This procedure had been part of ACI 318 since
                         Ag   Iw ⋅ 2                                   the 1971 version.
                                                                                version
                                                                       In the 1999 version of 318 a modification was
               The boundary elements can be discontinued               introduced in which the need to resist all flexural
               when the compression stress is less than 0.15 fc′       forces from seismic effects with just the
                                                                       boundary elements was suppressed.




                                                                                                                                                                   19
ACI 318-08 - Seismic Requirements -- Luis E. Garcia




                                                                                                                      21.9 - Special structural walls and
                       Old (pre-1999) procedure                                                                                coupling beams
                                                                                                                          Boundary elements – Both procedures
             Boundary elements                         w

             resisting all flexural
                 i ti    ll fl    l                                                                                  When boundary elements are needed (under any of the two
                                                                                                                     procedures) these boundary elements must extend
             effect that include                                                                                     horizontally from the maximum compression fiber a
                                                       heb
             seismic forces                                                                                          distance equal to the greater of : c-0.1 w or c/2.
                                                                                                                     In section with flanges the boundary element must include
                                                 Pu                                                                  the effective flange width and must extend at least 300 mm
                                                                                                                     into the web.
                                                                                                                     Transverse reinforcement must be that required for column,
                                                      Mu                                                             but there is no need to comply with equation 21-3.
                                                                                                                                                 py        q
                   P              Mu                                  Pu            Mu
              Ptu = u −                     ≤0              Pcu =        +                                           Special transverse reinforcement in the boundary element
                   Ag (                                                2 (          − heb )
                                 w − h eb )                                        w                                 must extend into the foundation element supporting the
                                                                                                                     wall.
                                                           φ ⋅ P0n = φ ⋅ [0.85 ⋅ fc′ ⋅ (A g − Ast ) + A st ⋅ f y ]   Wall horizontal transverse reinforcement must be anchored
               φ ⋅ Ptn = φ ⋅ A st ⋅ f y                                                                              into the confined boundary element core.
                                                        φ ⋅ Pn(max) ≤ 0.80 ⋅ φ ⋅ P0n




                     21.9 - Special structural walls and
                              coupling beams                                                                                  Coupling beams
                      In ACI 318-08, there are modifications in
                      the requirements for coupling beams in
                      walls.




                                                                                                                                                                                  20
ACI 318-08 - Seismic Requirements -- Luis E. Garcia




                                                            21.10 — Special structural walls
                                                          constructed using precast concrete
                                                             Scope— These requirements apply to special
                                                             structural walls constructed using precast
                                                              t   t    l  ll      t   t d i           t
                                                             concrete forming part of the seismic-force-
                                                             resisting system.

                                                             Special structural walls constructed using
                                                             precast concrete shall satisfy all requirements
                                                             of special cast-in-place structural walls plus
                                                             those of section 21.10.

                                                             Special structural walls constructed using
                                                             precast concrete and unbonded post-
                                                             tensioning tendons and not satisfying the
                                                             requirements of 21.10.2 are permitted provided
                                                             they satisfy the requirements of ACI ITG-5.1.




              21.11 — Structural diaphragms and trusses   21.11 — Structural diaphragms and trusses

                                                                         This section contains:
                                             prescribed
                                             horizontal      Requirements for slabs-on-grade , floor and roof slabs
                                             forces          when they are part of the seismic-force-resisting system
                                                             must comply with this section.
                                                             Minimum thickness for diaphragms are given.
                                                             Gives minimum reinforcement for diaphragms.
                                             floor           Indicates shear strength for these elements
                                             diaphragm
                                                             Defines when boundary elements must be used in
                                                             diaphragms.
                                                             Includes requirements for construction joints within the
                                                             diaphragm.




                                                                                                                        21
ACI 318-08 - Seismic Requirements -- Luis E. Garcia




                          21.12 — Foundations                                  21.13 — Members not designated as part of
                                                                                   the seismic-force-resisting system
                                This section contains:
                                                                               This section is a response to the extended practice by
                   21.12.1 — Scope - Foundations resisting earthquake          structural designers of designating arbitrarily some of the
                   induced forces or transferring earthquake-induced
                   i d     df                f i       h    k i d     d        structural elements as being parte of the seismic-force-
                   forces between structure and ground.                        resisting system and part not. Northridge Earthquake
                   21.12.2 — Footings, foundation mats, and pile caps –        affecting the City of Los Angeles in 1994 pointed out great
                   Gives requirements for the anchoring of reinforcement       deficiencies in this practice. In ACI 318-95 this section was
                   in vertical elements of the seismic-force-resisting         totally revised and it was updated in 1999, 2002, 2005 , and
                   system to these foundation elements.                        now in 2008.
                   21.12.3 — Grade beams and slabs-on-ground – Sets
                   minimum dimension s and minimum reinforcement for
                          u d e so          a d       u   e o ce e t o         In essence it is a call to the designer to check the
                   these elements,                                             deformation levels that so called “non participating”
                   21.12.4 — Piles, piers, and caissons – Indicates the type   elements are subjected and the minimum reinforcement
                   of effects to take into account in design and the           they should comply with.
                   minimum reinforcement allowable for these elements.




              21.13 — Members not designated as part of                        21.13 — Members not designated as part of
                  the seismic-force-resisting system                               the seismic-force-resisting system

               This Section contains two procedures to check non-
                                          p
               participating elements that are not part of the seismic-
                                                                               This section includes new requirements for slab-
                                                                               column frames that are not part of the seismic-
               force-resisting system:                                         force-resisting system.

               •    When the forces induced by the design displacement         Slab-column frames have shown repeatedly their
                   combined with the gravity forces do not exceed the          vulnerability under seismic demands. This
                   design strength of the elements, this section indicates     vulnerability is specially associated with the
                   the minimum reinforcement to use.                           punching shear strength of the slab-column joint.

               •    If the strength is exceeded the sections of Chapter 21     The new procedure in ACI 318-08 (Section
                   that are mandatory for these elements are indicated.        21.13.6) indicates when shear reinforcement
                                                                               must be provided in the slab-column joint as a
                                                                               function of the story drift.




                                                                                                                                               22
ACI 318-08 - Seismic Requirements -- Luis E. Garcia




              21.13 — Members not designated as part of   21.13 — Members not designated as part of
                  the seismic-force-resisting system          the seismic-force-resisting system
             Story drift cannot exceed the larger of:
              0.005
              or
              ⎛              Vug ⎞
              ⎜ 0.035 − 0.05     ⎟
              ⎝              φVc ⎠
             where Vug is the factored gravity punching
             shear demand and Vc is the punching shear
             strength.




                      The End




                                                                                                      23

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Aci 318 08-seismic-requirements-l e garcia

  • 1. ACI 318-08 - Seismic Requirements -- Luis E. Garcia Seismic Design Chapter 1 General Requirements Requirements in ACI 318-08 Modifications in By: Scope Luis Enrique García President American Concrete Institute – ACI – 2008-2009 Terminology Partner Proyectos y Diseños Ltda. Consulting Engineers Professor Universidad de los Andes Bogotá, Colombia R1.1.9 – Provisions for R1.1.9 – Provisions for earthquake resistance earthquake resistance In this version of ACI 318 (2008), for the first time, earthquake resistance requirements are Commentary was expanded to: defined in function of the Seismic Design Category — SDC required for the structure and not directly associated with the seismic risk zone. Explain changes in terminology used Simplify adoption and interaction of The minimum SDC to use is governed by the ACI 318-08 with model codes and other legally adopted general building code of which documents ACI 318 forms a part. 4 1
  • 2. ACI 318-08 - Seismic Requirements -- Luis E. Garcia TABLE R1.1.9.1 — CORRELATION BETWEEN SEISMIC-RELATED TERMINOLOGY IN MODEL CODES Chapter 2 Code, standard, or resource document and edition Level of seismic risk or assigned seismic performance or design categories as Notation and Definitions defined in the Code ACI 318-08; IBC 2000, 2003; 2006; NFPA 5000, 2003, 2006; ASCE 7- SCD* SCS SCD There were important changes in 98, 7-02, 7-05; NEHRP 1997, 2000, A, B C D, E, F notation of the whole document and all 2003 individual Chapter notation was moved BOCA National Building Code to Chapter 2. 1993, 1996, 1999; Standard SPC† SPC SPC Building Code 1994, 1997, 1999; A, B C D; E ASCE 7-93, 7-95; NEHRP 1991, 7 93, 7 95; 1994 There are a few new definitions related to Chapter 21. All definitions, old and Uniform Building Code 1991, Seismic Zone Seismic Zone Seismic Zone new, were moved to Chapter 2. 1994, 1997 0, 1 2 3, 4 *SDC = Seismic Design Category as defined in code, standard, or resource document. †SPC = Seismic Performance Category as defined in code, standard, or resource document 5 Chapter 21 Seismic Design Category and Energy Dissipation Capacity Earthquake-resistant structures SDC Denomination Must comply with in Seismic D i S i i Design (Energy di i ti (E dissipation ACI 318-08 Category capacity) Chapter 21 was reorganized in function of A Chapters 1 to 19 and 22 Seismic Design Categories (SDC) A, B, C, and D, E, and F in incremental order from Ordinary ordinary to special: B Chapters 1 to 19, 22, and 21.2 Chapters 1 to 19, 22, A → B → C → D, E, F C Intermediate and 21.3 y 21.4 Chapters 1 to 19, 22, D, E, F Special And 21.5 to 21.13 2
  • 3. ACI 318-08 - Seismic Requirements -- Luis E. Garcia ACI 318-08 – Chapter 21 Earthquake-resistant structures 21.1 – General requirements Content Scope 21.1 – General requirements 21.2 21 2 – Ordinary moment frames B 21.3 – Intermediate moment frames C Chapter 21 contains provisions considered 21.4 – Intermediate precast structural walls 21.5 – Flexural members of special moment frames to be the minimum requirements for a 21.6 – Special moment frame members subjected to bending and cast-in-place or precast concrete axial load structure capable of sustaining a series of 21.7 – Joints of special moment frames D oscillations into the inelastic range of 21.8 – Special moment frames constructed using precast concrete response without critical deterioration in 21.9 – Special structural walls and coupling beams E g strength. 21.10 – Special structural walls constructed using precast concrete 21.11 – Structural diaphragms and trusses F Therefore, the objective is to provide energy 21.12 – Foundations 21.13 – Members not designated as part of the seismic-force- dissipation capacity in the nonlinear resisting system range of response. TABLE R21.1.1 — SECTIONS OF CHAPTER 21 TO BE SATISFIED IN TYPICAL APPLICATIONS Component resisting Seismic Design Category (SDC) Global Energy Dissipation Capacity earthquake effect, unless A B C D (none) (21.1.1.4) (21.1.1.5) (21.1.1.6) Force elastic otherwise noted Maximum elastic maximum elastic Analysis and design Fe 21.1.2 21.1.2 21.1.2, 21.1.3 force demand displacement demand requirements Materials None None 21.1.4 21.1.7 nonlinear 21.5, 21.6, Frame members 21.2 21.3 21.7, 21.8 Maximum nonlinear Structural walls and Yield strength displacement demand coupling beams None None 21.9 Fy Precast structural walls None 21.4 21.4,† 21.10 None Structural diaphragms and None None 21.11 trusses uy ue um Displacement Foundations None None 21.12 Frame members not In several earthquake resistance Fe u proportioned to resist forces induced by None None 21.13 regulations this is defined through R = = e earthquake motions parameter R Fy uy Anclajes None 21.1.8 21.1.8 3
  • 4. ACI 318-08 - Seismic Requirements -- Luis E. Garcia Elastic vs. Nonlinear Demand Current seismic design strategy 20 linear elastic nonlinear Given an energy dissipation capacity for the structural 10 material and structural system, defined through an R u 0 value depending of the detailing scheme the design (cm) horizontal seismic force is obtained from: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 -10 -20 time (s) Fe 0.8 Fy = 0.6 linear elastic R 0.4 nonlinear force 0 2 0.2 and the maximum elastic force demand is in turn 0 obtained using Newton’s 2nd Law: (1/W) -0.2 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 -0.4 -0.6 Fe = m a s s × S a (T , ξ ) Acceleration response spectrum from the general building code -0.8 time (s) What would happen if energy dissipation capacity is not available? 4
  • 5. ACI 318-08 - Seismic Requirements -- Luis E. Garcia C.21.1 – General Requirements Nonstructural wall panel in contact Compressive strength of concrete fc′ ≥ 21 MPa with the structure column Specified compressi e strength of light eight compressive lightweight Nonstructural wall concrete ≤ 35 MPa panel separated h from the structure For computing the amount of confinement reinforcement fyt ≤ 700 MPa (= 100,000 psi = 7000 kgf/cm2) ACI 318-08 requires (21.1.2) that interaction between structural and Reinforcing steel must meet ASTM A706. If ASTM nonstructural elements that may a ect t e response du g t e ea t qua e o st uctu a e e e ts t at ay affect the espo se during the earthquake A615 is used, it must meet: Must be taken into account. The actual yield strength based on mill tests does not Rigid members assumed not to be a part of the seismic-force-resisting exceed fy by more than 125 MPa. system are permitted provided their effect on the response of the system is The ratio of the actual tensile strength to the actual yield considered and accommodated in the structural design. strength is not less than1.25 Consequences of failure of structural and nonstructural members that are not a part of the seismic-force-resisting system shall be considered. 5
  • 6. ACI 318-08 - Seismic Requirements -- Luis E. Garcia Reinforcing steel 21.2 – Ordinary moment frames σ stress MPa actual tensile strength Corresponds to SDC B σu Beams must have at least two continuous longitudinal bars along both top and bottom σy failure faces. These bars shall be developed at the face of support. c1 c2 actual yield strength Columns having clear height less than or equal to E maximum elongation five times the dimension c1 1 yield elongation must be designed for shear in accordance with 21.3.3. (shear requirements for intermediate SDC C) O ε εy strain ε max 21.3 - Intermediate moment frames 21.3 - Intermediate moment frames Requirements for this Section are equivalent to the rest of Chapter 21, but are less strict and have a Reinforcement details in a frame member lesser scope. p shall satisfy beam requirements if the y q factored axial compressive load, Pu , d f d i l i l d does Two alternatives are presented for shear design of not exceed Ag fc′ 10 . beams and columns: Obtain design shear forces as function of When Pu is greater reinforcing details must nominal end moments as done for special meet column requirements. elements, or use twice the shear from analysis This is analysis. equivalent to using the following load When a slab-column system without beams combinations: is part of the seismic-force-resisting U = 1.2D + 1.0L + (1.0E)x2.0 system, reinforcement details in any span resisting moments caused by E must U = 0.9D + (1.0E)x2.0 satisfy 21.3.6. 6
  • 7. ACI 318-08 - Seismic Requirements -- Luis E. Garcia 21.3 - Intermediate moment frames 21.3 - Intermediate moment frames For beams: For beams: Moment strength must comply with: g py At both ends of the beam, hoops shall be provided over lengths not less than 2h measured from the face of the supporting member toward midspan. The first hoop shall − be located not more than 50 mm from the face of the Mn − Mn supporting member. Spacing of hoops shall not exceed the 1 smallest of d/4, 8db of the smaller longitudinal bar, 24db Mn ≥ ⋅ ( Mn )max .face of hoop, or 300 mm. Stirrups shall be spaced not more 5 than d/2 throughout the length of the beam. + 1 − Mn ≥ Mn 2h @d/2 2h 3 21.3 - Intermediate moment frames 21.3 - Intermediate moment frames For columns Two-way slabs without beams (slab-column frames) At both ends of the column, hoops shall be provided at spacing so over Reinforcement provided to resist Mslab shall be placed a length 0 measured from the joint within th column strip. ithi the l ti face. Spacing so shall not exceed the smallest of 1/2 of the smallest Not less than 50% of the reinforcement in the column cross-sectional dimension of the strip at supports shall be placed within the effective column, 8db of the smallest slab width defined by lines drawn parallel to the span at 1.5 slab depths from the column face . longitudinal bar enclosed, 24db of the hoop bar, or 300 mm. Outside this length spacing must be the one Continuous bottom reinforcement in the column strip shall be not less than 33% of the top reinforcement at defined in Chapters 7 and 11. 11 the th support in the column strip. t i th l ti Length 0 shall not be less than the largest of the maximum cross- Not less than 25% of the top reinforcement at the sectional dimension of the column;, support in the column strip shall be continuous 1/6 of the clear span of the column, throughout the span. or 450 mm. 7
  • 8. ACI 318-08 - Seismic Requirements -- Luis E. Garcia 21.3 - Intermediate moment frames 21.3 - Intermediate moment frames Two-way slabs without beams (slab-column frames) At the critical sections for punching shear, shear caused by factored gravity loads shall not exceed, 0.4φVc where Vc must be calculated as defined in Chapter 11 for prestressed and non prestressed slabs. This requirement may be waived if the slab complies with 21.13.6 21.4 — Intermediate precast structural walls 21.5 — Flexural members of special moment frames Requirements of 21.4 apply to intermediate precast structural walls forming part of the t t t l ll f i t f th A i l force Pu must not exceed 0 10fc′ Ag Axial f t t d 0.10 seismic-force resisting systems. Clear span of element n must be larger In connections between wall panels, or than 4d between wall panels and the foundation, yielding must be restricted to steel elements Ratio bw/h > 0.3 or reinforcement.. Width bw must comply with: Elements of the connection that are not designed to yield must develop at least 1.5Sy. bw > 250 mm larger than the width of the supporting element plus 3h/4 at each side 8
  • 9. ACI 318-08 - Seismic Requirements -- Luis E. Garcia 21.5 — Flexural members of special 21.5 — Flexural members of special moment frames moment frames Longitudinal reinforcement Steel ratio for negative and positive reinforcement must not be less than: fc′ 1.4 ρ≥ ≥ 4 ⋅ fy fy but: ρ ≤ 0.025 At least two bars continuous top and bottom. 21.5 — Flexural members of special 21.5 — Flexural members of special moment frames moment frames Longitudinal reinforcement Longitudinal reinforcement Moment strength at each section must be at least: Lap splices are permitted if hoops are provided − Mn − Mn throughout the splice length. Maximum hoop spacing must not exceed d/4 or 100 mm. Mn ≥ 0.25 ⋅ ( Mn )max .face No lap splices are permitted in joints or within 2h of column face or where inelastic action is expected. t d + − Mn ≥ 0.5Mn 9
  • 10. ACI 318-08 - Seismic Requirements -- Luis E. Garcia 21.5 — Flexural members of special 21.5 — Flexural members of special moment frames moment frames Hoops must be provided: Shear design: ΔV Δ e 50 mm 50 mm − s ≤d/2 M pr n + M pr (M ) + pr izq . ( − + M pr ) der . (M ) − pr izq . ( + + M pr ) der . ΔVe = ΔVe = n n 2h 2h confinement Mpr computed using fypr = 1.25 fy and φ = 1.0 zones 21.5 — Flexural members of special 21.6 — Special moment frame members moment frames (Vu)vert. left (Vu)ver. right subjected to bending and axial load Pu1 Wu Pu2 General Vu(x) (Vu)ver. left + ΔVe ⎡( V ) − P ⎤ ⎢ u ver.izq. ( u ) ver.der. ∑ u ⎥ n 1 1 + V ⎣ ⎦ Axial force greater than 0.10 ⋅ fc′ ⋅ Ag (Vu)ver. left- ΔVe x The least section dimension that passes (Vu)vert. right - ΔVe through the centroid must be greater than th h th t id tb t th shear envelope 300 mm. (Vu)ver. right+ ΔVe For design, Vc = 0 if ΔVe is more than 50% Ratio b/h > 0.4 of required shear strength, or axial force is less than 0.05f’cAg 10
  • 11. ACI 318-08 - Seismic Requirements -- Luis E. Garcia 21.6 — Special moment frame members 21.6 — Special moment frame members subjected to bending and axial load subjected to bending and axial load Transverse reinforcement in confining zones must comply g py Column flexural strength must comply with: with: Spiral columns: f′ ρ s = 0.12 ⋅ c fyt ∑ Mnc ≥ 1.2∑ Mnb Columns with hoops: Mnc Mnc Mnc 0.3 ⋅ s ⋅ bc ⋅ fc′ ⎡⎛ Ag ⎞ ⎤ Mnb Mnb Mnb Mnc Ash = ⋅ ⎢⎜ ⎟ − 1⎥ fyt ⎢⎝ Ach ⎠ ⎥ ⎣ ⎦ Mnb Mnb Mnc Mnc Mnb Mnc Mnb Mnc Mnb Mnc Mnc 0.09 ⋅ s ⋅ bc ⋅ fc′ (a) (b) (c) Ash = fyt 21.6 — Special moment frame members 21.6 — Special moment frame members subjected to bending and axial load subjected to bending and axial load hx ≤ 350 mm Shear design Mpr (M ) ( ) hx hx hx joint transverse + M pr reinforcement as i f t required by 21.7 50 mm pr arriba abajo 0 Ve = hx b ⎧b / 4 hn ⎪ Ve confinement lap splices in s ≤ ⎨6d b long. hn zones central zone ⎪s Mpr corresponds to the maximum moment hc ⎩ 0 ⎧h strength for the axial load range on the ⎪ element (1.25fy and φ=1). Ve cannot be ≤ ⎨ hn 6 ⎧6d b long . ⎧ ⎛ 350 hx ⎞ 350-h 0 ⎪ 450 mm s≤⎨ less than the one obtained from analysis. ⎪100 + ⎜ ⎩ ⎩150 mm ⎪ ⎝ 3 ⎟ ⎠ 0 50 mm s0 = ⎨ For design Vc = 0 if Ve is more than 50% ⎪ ≤ 150 mm joint transverse of the required shear or the axial force ⎪ ≥ 100 mm ⎩ reinforcement as required by 21.7 is less than 0.05f’cAg Mpr 11
  • 12. ACI 318-08 - Seismic Requirements -- Luis E. Garcia 21.7 — Joints of special moment frames 21.7 — Joints of special moment frames Computation of the shear demand on the joint: General requirements Ve-col plane to evaluate M pr-c shear Vu column When computing shear strength within the joint in Ts′ = 1.25fy As ′ Cc = Ts = 1.25fy As special frames all longitudinal reinforcement must be presumed to be stressed at 1.25fy. Longitudinal reinforcement terminating at a joint must Cc = Ts′ = 1.25fy As ′ ′ Ts = 1.25fy As be extended to the far face of the column confined core and anchored in tension. beam When th beam l Wh the b longitudinal reinforcement passes it di l i f t Mpr-c Ve-col through the joint , the column dimension parallel to the Beam in both sides: Beam in one side: reinforcement cannot be less than 20db largest ⎧1.25fy ( As )viga − (Ve )col longitudinal bar, for normal weight concrete and 26db Vu = 1.25fy ( As + As )viga − (Ve )col ′ ⎪ ⎪ Vu ≥ ⎨ for lightweight concrete. ⎪ ⎪1.25fy ( As )viga − (Ve )col ⎩ ′ 21.7 — Joints of special moment frames 21.7 — Joints of special moment frames Definition of Aj Shear strength Joints confined in all four faces φ ⋅ Vn = φ ⋅ 1.70 ⋅ fc′ ⋅ A j Joints confined in three faces or in opposite faces h Aj bw φ ⋅ Vn = φ ⋅ 1.25 ⋅ fc′ ⋅ A j bw Other joints h Aj φ ⋅ Vn = φ ⋅ 1.00 ⋅ fc′ ⋅ A j bw x ⎧ bw + 2 x ≤⎨ ⎩ bw + h 12
  • 13. ACI 318-08 - Seismic Requirements -- Luis E. Garcia 21.7 — Joints of special moment frames 21.8 — Special moment frames constructed using precast concrete Development for hooks embedded in the The requirements of 21.8 apply for special q pp y p confined core moment frames built using precast critical concrete forming part of the seismic-force- section resistant system. dh The detailing provisions in 21.8.2 and 21.8.3 are intended to produce frames that fy ⋅ d b db respond to design displacements dh = esse t a y e o o t c special o e t essentially like monolithic spec a moment 5.4 fc′ frames. The provisions of 21.8.4 indicate that when not satisfying 21.8.2 or 21.8.3 they must satisfy the requirements of ACI 374.1 21.8 — Special moment frames 21.9 — Special structural walls constructed using precast concrete and coupling beams Special precast moment frames with ductile Terminology connections must comply with all ti t l ith ll requirements for special cast-in-place frames and Vn should not be less than 2Ve. h Special precast moment frames with strong connections are intended to experience flexural yielding outside the connections connections. hw These requirements are applicable independently of any of these two situations. w Vu 13
  • 14. ACI 318-08 - Seismic Requirements -- Luis E. Garcia 21.9 — Special structural walls and 21.9 — Special structural walls coupling beams – General requirements and coupling beams Cover Flexure design 20 mm Design for flexure and flexure and axial load for structural walls must be performed using the requirements of Chapter 10. Maximum s h reinforcement spacing s s s Concrete and developed longitudinal reinforcement within effective flange widths boundary elements, widths, elements s ≤ 3h and the wall web shall be considered effective. s ≤ 450 mm s The effects of openings shall be considered. s 21.9 - Special structural walls and 21.9 - Special structural walls and coupling beams coupling beams Flexure design 21.9.2 21 9 2 – Reinforcement Unless a more detailed analysis is performed, The distributed web reinforcement ratios, ρt effective flange widths of flanged sections ( I, L, C and ρ , for structural walls shall not be less or T) may be supposed to extend from the face of than 0.0025, except that if Vu does not exceed the web a distance equal to the smaller of: 0.083A cv λ fc′ (MPa) = 0.27A cv λ fc′ (kgf/cm2), ρt and ρ , may be reduced to the values given (a) 1/2 the distance to an adjacent wall web, in14.3. and Separation of reinforcement must not exceed (b) 25 percent of the total wall height. 450 mm 14
  • 15. ACI 318-08 - Seismic Requirements -- Luis E. Garcia Minimum steel ratio Difference between wall 14.3.2 – Minimum steel ratio of vertical reinforcement ρ computed over gross section is: and column 0.0012 0 0012 for f deformed bars not larger than Nº 5 ( / ) ó 16M f º (5/8”) (16 mm), with fy not less than 420 MPa. 14.3.6 — Vertical reinforcement 0.0015 for other deformed bars. need not be enclosed by lateral ties 0.0012 for welded wire reinforcement with diameter not if vertical reinforcement area is not larger than16 mm. 14.3.3 - Minimum ratio of horizontal reinforcement area to greater than 0.01 times gross gross concrete area, ρt: concrete area, or where vertical 0.0020 for deformed bars not larger than Nº 5 (5/8”) ó 16M reinforcement is not required as (16 mm), with fy not less than 420 MPa. compression reinforcement. 0.0025 for other deformed bars. 0.0020 for welded wire reinforcement with diameter not larger than16 mm. 21.9 - Special structural walls and 21.9 - Special structural walls and coupling beams coupling beams Nominal shear st e gt must not exceed: o a s ea strength ust ot e ceed At least two curtains of reinforcement l tt t i f i f t Vn = Acv ⎡α c λ fc′ + ρ n fy ⎤ ⎣ ⎦ must be used in a wall if Vu exceeds αc 0.17λ A cv fc′ (MPa) = 0.53λ A cv fc′ where αc is: 0.25 0.17 (kgf/cm2) hw 0 0.5 1.0 1.5 2.0 2.5 w 15
  • 16. ACI 318-08 - Seismic Requirements -- Luis E. Garcia Wall boundary elements Displacement-based boundary element Boundary elements must be placed at edges and procedure in ACI 318 (21.9.6.2) around openings when inelastic response is This procedure is based on the compressive expected. expected ACI 318-08 gives two alternatives to strain demand at edges of wall when the wall is define if boundary elements are needed: deformed under the maximum expected lateral 1) Section 21.9.6.2 presents a displacement- displacement caused by the design earthquake based procedure. Boundary elements are ground motion. needed or not depending on the compressive Section 21.9.6.2 is based on the assumption that strain at the edge of wall caused by the inelastic response of the wall is dominated by seismic lateral deflection, or flexural action at a critical, yielding section. 2) Section 21.9.6.3 requires boundary elements The wall should be proportioned so that the when the compressive stress at the edge of critical section occurs at the base of the wall and wall caused by the seismic forces exceeds a is applicable only to walls continuous from base threshold value. to top of the structure. Displacement-based boundary element Nonlinear response of a wall procedure in ACI 318 (21.9.6.2) P δ The wall should have a single critical section under flexure and axial load at the base of the wall. The zones of the wall in compression must be provided with specially reinforced boundary elements when the depth of the θ p neutral axis at nominal strength, c, is greater than: c≥ w and δu Plastification ≥ 0.007 p length ⎛ δu ⎞ hw 600 ⋅ ⎜ ⎟ 0 0 Wall Mu My Mcr φu φ y φcr ⎝ hw ⎠ section Moment Curvature 16
  • 17. ACI 318-08 - Seismic Requirements -- Luis E. Garcia Nonlinear response of wall Nonlinear wall deflection Using Moment-area theorems it is possible to show that the Curvature Deflection Nonlinear Nonlinear lateral deflection caused by curvature up to yield (green at yield at yield curvature deflection (δu−δy) w zone) is: δy b hw and the additional deflection caused by nonlinear rotation (orange zone) is: p θp φy (φu − φy) The total deflection is: Total lateral deflection is then: p φ a (φu− φy) φy We can solve for the ultimate curvature demand and obtain: φu Moment-curvature diagram for wall section What happens at section? M Ultimate curvature demand Mn At level of εcu displacement φu demand Strain At level of εc = 0.003 nominal εs > εy φn strength c εc < 0.003 εs = εy φy At level of cy Mcr yield in tension of extreme h 0 φ reinforcement φcr φy φn φu w 17
  • 18. ACI 318-08 - Seismic Requirements -- Luis E. Garcia Equation (21-8) deduction Equation (21-8) deduction The rotation at the plastic hinge when the displacement The concrete strain at the extreme fiber in compression demand (δu) takes place is: at ultimate is: We can then obtain the strain at ultimate for the With a plastic hinge length equal to half the wall horizontal displacement demand: length: and Then the curvature at the wall base when the displacement demand occurs is: The value of c for a ultimate strain of εcu = 0.003 is: Equation (21-8) deduction Need for boundary elements in If a 600 value parameter is used instead of 666 in last equation displacement-based procedure ε ε and it is solved for cu a value of cu = 0.0033 is obtained, If equation (21-8) indicates that the value which in turn leads to the following equation: of c is exceeded this is a symptom that exceeded, strains greater than εcu = 0.0033 must be expected and the need to confine the edge of the wall is warranted in order to If the maximum strain at the extreme compression fiber exceeds prevent spalling of the concrete there. εcu = 0.0033 then the value of c obtained from last equation would be exceeded. Thus the form ACI 318 presents it: exceeded In that case ACI 318 prescribes the same If c is greater than the value obtained type and amount of confining transverse boundary elements must be placed reinforcement that for columns. along the length where it is exceeded and a little more. 18
  • 19. ACI 318-08 - Seismic Requirements -- Luis E. Garcia Boundary elements Displacement-based boundary element displacement-base procedure procedure in ACI 318 (21.9.6.32 Boundary elements must be placed Mn from the critical section up for a εcu distance not less than the larger of w o εs 0.003 Mu/(4Vu). The evaluation is performed for the wall c when subjected to the nonlinear Region where horizontal design displacements boundary corresponding to the design elements must be provided earthquake. The value of δu corresponds to the nonlinear roof horizontal displacement. Stress-based boundary element procedure in ACI 318 (21.9.6.3) Stress-based boundary Boundary elements must be provided at edges element procedure in and around openings of walls when the maximum p g ACI 318 (21 9 6 3) (21.9.6.3) Pu stress at the extreme fiber in compression caused by factored loads that include seismic Mu effects exceeds 0.2 fc′ unless that whole wall is Pu Mu confined as a column. Ptu = Pu − Ag ( Mu − 300 mm ) ≤0 Pcu = + 2 ( w − 300 mm ) w Pu M u ⋅ w fcu = + > 0.2 ⋅ fc′ This procedure had been part of ACI 318 since Ag Iw ⋅ 2 the 1971 version. version In the 1999 version of 318 a modification was The boundary elements can be discontinued introduced in which the need to resist all flexural when the compression stress is less than 0.15 fc′ forces from seismic effects with just the boundary elements was suppressed. 19
  • 20. ACI 318-08 - Seismic Requirements -- Luis E. Garcia 21.9 - Special structural walls and Old (pre-1999) procedure coupling beams Boundary elements – Both procedures Boundary elements w resisting all flexural i ti ll fl l When boundary elements are needed (under any of the two procedures) these boundary elements must extend effect that include horizontally from the maximum compression fiber a heb seismic forces distance equal to the greater of : c-0.1 w or c/2. In section with flanges the boundary element must include Pu the effective flange width and must extend at least 300 mm into the web. Transverse reinforcement must be that required for column, Mu but there is no need to comply with equation 21-3. py q P Mu Pu Mu Ptu = u − ≤0 Pcu = + Special transverse reinforcement in the boundary element Ag ( 2 ( − heb ) w − h eb ) w must extend into the foundation element supporting the wall. φ ⋅ P0n = φ ⋅ [0.85 ⋅ fc′ ⋅ (A g − Ast ) + A st ⋅ f y ] Wall horizontal transverse reinforcement must be anchored φ ⋅ Ptn = φ ⋅ A st ⋅ f y into the confined boundary element core. φ ⋅ Pn(max) ≤ 0.80 ⋅ φ ⋅ P0n 21.9 - Special structural walls and coupling beams Coupling beams In ACI 318-08, there are modifications in the requirements for coupling beams in walls. 20
  • 21. ACI 318-08 - Seismic Requirements -- Luis E. Garcia 21.10 — Special structural walls constructed using precast concrete Scope— These requirements apply to special structural walls constructed using precast t t l ll t t d i t concrete forming part of the seismic-force- resisting system. Special structural walls constructed using precast concrete shall satisfy all requirements of special cast-in-place structural walls plus those of section 21.10. Special structural walls constructed using precast concrete and unbonded post- tensioning tendons and not satisfying the requirements of 21.10.2 are permitted provided they satisfy the requirements of ACI ITG-5.1. 21.11 — Structural diaphragms and trusses 21.11 — Structural diaphragms and trusses This section contains: prescribed horizontal Requirements for slabs-on-grade , floor and roof slabs forces when they are part of the seismic-force-resisting system must comply with this section. Minimum thickness for diaphragms are given. Gives minimum reinforcement for diaphragms. floor Indicates shear strength for these elements diaphragm Defines when boundary elements must be used in diaphragms. Includes requirements for construction joints within the diaphragm. 21
  • 22. ACI 318-08 - Seismic Requirements -- Luis E. Garcia 21.12 — Foundations 21.13 — Members not designated as part of the seismic-force-resisting system This section contains: This section is a response to the extended practice by 21.12.1 — Scope - Foundations resisting earthquake structural designers of designating arbitrarily some of the induced forces or transferring earthquake-induced i d df f i h k i d d structural elements as being parte of the seismic-force- forces between structure and ground. resisting system and part not. Northridge Earthquake 21.12.2 — Footings, foundation mats, and pile caps – affecting the City of Los Angeles in 1994 pointed out great Gives requirements for the anchoring of reinforcement deficiencies in this practice. In ACI 318-95 this section was in vertical elements of the seismic-force-resisting totally revised and it was updated in 1999, 2002, 2005 , and system to these foundation elements. now in 2008. 21.12.3 — Grade beams and slabs-on-ground – Sets minimum dimension s and minimum reinforcement for u d e so a d u e o ce e t o In essence it is a call to the designer to check the these elements, deformation levels that so called “non participating” 21.12.4 — Piles, piers, and caissons – Indicates the type elements are subjected and the minimum reinforcement of effects to take into account in design and the they should comply with. minimum reinforcement allowable for these elements. 21.13 — Members not designated as part of 21.13 — Members not designated as part of the seismic-force-resisting system the seismic-force-resisting system This Section contains two procedures to check non- p participating elements that are not part of the seismic- This section includes new requirements for slab- column frames that are not part of the seismic- force-resisting system: force-resisting system. • When the forces induced by the design displacement Slab-column frames have shown repeatedly their combined with the gravity forces do not exceed the vulnerability under seismic demands. This design strength of the elements, this section indicates vulnerability is specially associated with the the minimum reinforcement to use. punching shear strength of the slab-column joint. • If the strength is exceeded the sections of Chapter 21 The new procedure in ACI 318-08 (Section that are mandatory for these elements are indicated. 21.13.6) indicates when shear reinforcement must be provided in the slab-column joint as a function of the story drift. 22
  • 23. ACI 318-08 - Seismic Requirements -- Luis E. Garcia 21.13 — Members not designated as part of 21.13 — Members not designated as part of the seismic-force-resisting system the seismic-force-resisting system Story drift cannot exceed the larger of: 0.005 or ⎛ Vug ⎞ ⎜ 0.035 − 0.05 ⎟ ⎝ φVc ⎠ where Vug is the factored gravity punching shear demand and Vc is the punching shear strength. The End 23