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Comparisons of seismic capacity of reinforced concrete buildings between standard and substandard detailing.

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  • 7/22/2019 Comparisons of seismic capacity of reinforced concrete buildings between standard and substandard detailing.

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    19 19thNational Convention on Civil Engineering14-16 2557 . 14-16 May 2014, Khon Kaen, THAILAND

    1

    Comparisons of seismic capacity of reinforced concrete buildings

    between standard and substandard detailing.

    1,* 2

    1

    2

    5 3 1)(Gravity Load Designed; GLD) 2)

    (Intermediate Ductile Frame; IDF) 3) (SpecialDuctile Frame; SDF)(FiniteElement Model; FEM) SAP2000 (Incremental DynamicAnalysis; IDA) (EquivalentSingle Degree Of Freedom; ESDOF) (Nonlinear Static Pushover Analysis; NSP) FEMA P-440a

    20

    :sap2000, , , -

    Abstract

    The purpose of this study is aimed to comparisons of seismic capacity

    of reinforced concrete buildings between standard and substandard

    detailing. Three types of the 5-story dormitory buildings were designed

    to create finite element model including 1) Gravity Load Designed

    (GLD) building, 2) Intermediate Ductile Frames (IDF), and 3) Special

    Ductile Frames (SDF). A computer program SAP2000 was employed as

    a means of analysis. To reduce analysis times, Incremental Dynamic

    Analysis (IDA) of Equivalent Single Degree Of Freedom (ESDOF) with

    Nonlinear Static Pushover (NSP) analysis, were applied according to

    FEMA P-440a.In this study, seismic waves were simulated for 20 waves

    corresponding to design spectrum of BangkokThailand. The analytical

    results showed that buildings with the standard detailing have a capacity

    greater thanbuildingssubstandard.

    Keywords: sap2000, incremental dynamic analysis, seismic capacity,

    beam-column joint detailing

    1.

    (Nonlinear Static Pushover; NSP) (Nonlinear Dynamic Time History) 2 (Nonlinear Dynamic Time History) * (Corresponding author)

    E-mailaddress: [email protected]

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    2

    (Nonlinear StaticPushover; NSP) ATC 40[1], FEMA 273 [2] FEMA 356 [3] FEMA 440 [4]

    (Nonlinear StaticPushover; NSP) FEMA P440A [5](Nonlinear Static Pushover; NSP) (Nonlinear Dynamic Time History) (Equivalent Single Degree Of Freedom; ESDOF)

    3 1) 2) 3)- , , - 5 3

    [6-8]

    2.

    - ACI318-11[9]

    - - ACI 318-11[9]

    nc nbM M (1)

    ncM

    nbM

    ', ( )jh u s s y colV A A f V (2)

    sA 'sA

    ; yf ; colV

    ( 'sA

    ) 1

    () () () 1

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    3

    2.1 5

    2.8 14 14.4 x 32 (Gravity Load)

    0.15 , - 1,2 3 2 3 - 0.40 21 (Safe Load) 40 1

    1

    (GLD)Story Description Dimension reinforcement Stirrup

    1-2 C1 0.4x0.3 m. 10-db20 Rb6 mm.@20cm.

    3-5 C2 0.4x0.25 m. 8-db16 Rb6 mm.@20cm.

    1-4 B1 0.25x0.45 m.6-db16 T

    6-db16 BRb6 mm.@20cm.

    1-4 B4 0.25x0.45m.4-db16 T

    4-db16 BRb6 mm.@20cm.

    Roof B8 0.25x0.45m.3-bd16 T

    3-db16 BRb6 mm.@20cm.

    2 (IDF)

    Story Description Dimension reinforcement Stirrup

    1-5 C 0.4x0.4 m. 12-db203Rb9@15cm.(H1)

    3Rb9@20cm.(H2)

    1-4 B1 0.25x0.5 m.5-db20 T

    5-db20 B

    Rb9@10cm.(L1)

    Rb9@15cm.(L2)

    1-4 B4 0.25x0.5 m.4-db16 T

    4-db16 B

    Rb9@10cm.(L1)

    Rb9@15cm.(L2)

    Roof B8 0.25x0.5m.3-bd16 T

    3-db16 B

    Rb9@10cm.(L1)

    Rb9@15cm.(L2)

    3(SDF)

    Story Description Dimension reinforcement Stirrup

    1-5 C 0.4x0.4 m. 12-db203Rb9@15cm.(H1)

    3Rb9@20cm.(H2)

    1-4 B1 0.25x0.5 m.4-db20 T

    4-db20 B

    Rb9@10cm.(L1)

    Rb9@15cm.(L2)

    1-4 B4 0.25x0.5 m.4-db16 T

    4-db16 B

    Rb9@10cm.(L1)

    Rb9@15cm.(L2)

    Roof B8 0.25x0.5m. 3-bd16 T3-db16 B

    Rb9@10cm.(L1)

    Rb9@15cm.(L2)

    2

    3

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    4

    2.22.2.1 28 = 240 ./.2 = 2.35e5./.2

    = 2,400 ./.22.2.2 SD 40 = 4,600 ./.2 SR 24 = 3,480 ./.2 = 2.04e6 ./.2

    Kiattivisanchai[10]ACI 318-11[9]

    3. (Lump

    Plastic Model)

    3.1 Sung et

    al.[6] (Moment Rotation; Mb-) (Transform MomentRotation; M

    v-)

    4

    3.2 -- Sung et al.[8]

    FEMA 356[3]

    'n c jV f A (3)

    1 0.75 ; '' 4; 'cf ; jA

    -

    4 FEMA 356[3]

    ''

    Value of

    Interior

    Joint withtransverse

    Beam

    Interior

    Jointwithout

    transverse

    Beam

    Exterior

    Joint withtransverse

    Beam

    Exterior

    Jointwithout

    transverse

    Beam

    Knee Joint

    < 0.003 12 10 8 6 4

    0.003 20 15 15 12 8

    * '' = volumetric ratio of the horizontal confinement reinforcement in joint.

    - Rigid Bar5

    5

    () () ()

    4,

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    5

    / 2cosstrutP V (4)

    cosstrut (5)

    strutP ;V; strut ;

    ;

    - jA ; jB

    -

    0.4EcAg; jC ; jD

    ; jE

    -6

    6-

    3.3 (

    Equivalent diagonal compressive strut) 7 FEMA 273[2]

    7

    n-0.4

    1 col ina = 0.175 h r

    (6)

    1

    4

    1

    sin 2

    4

    me in

    fe col in

    E t

    E I h

    (7)

    meE ; feE ;

    colI ;

    int

    ( sR )

    (ine

    V )

    0sin

    ine in in f sV l t R (8)

    cos /ine s in in sV R l r R (9)

    0

    1- /s in in

    f in in

    R r th l

    (10)

    4.

    (Artificial GroundMotion) Chomchuen Boonyapinyo [11] (Intensity EnvelopeFunction) SeismoArtif

    SeismoArtif

    n n n

    n

    Z t I(t) A sin( t ) (11)

    Z t I(t)

    n

    A n

    P

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    6

    n

    (Phase Angle)

    I(t)(Trapezoidal Envelope) 8

    8 I(t)

    20 20 9

    9

    5. Equivalent Single Degree OfFreedom(ESDOF)

    (Incremental Dynamic Analysis, IDA)

    Vamvatsikos and Cornell[12]

    Incremental Dynamic Analysis (IDA) FEMA P440A [5](Capacity Curve)Equivalent Single Degree Of Freedom(ESDOF) Incremental Dynamic Analysis (IDA) (Capacity Curve)

    Equivalent Single Degree Of Freedom(ESDOF) 10

    10 EquivalentSingle Degree Of Freedom

    EquivalentSingle Degree Of Freedom(; ( 1,5%)Sa T ) (;

    max ) 11

    11 EquivalentSingle Degree Of Freedom

    6. 6.1Nonlinear Static Pushover

    . 1302-52[13] 5 (1) (GLD); (2) (IDF); (3)

    (SDF)6

    I(t)

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    7

    5Story High

    (m.)

    Total

    Weight

    (tons)

    IDF SDF

    Fx

    (tons)

    Vx

    (tons)

    Fx

    (tons)

    Vx

    (tons)

    5 14 269.97 12.191 12.19 7.62 7.62

    4 11.2 513.93 18.567 30.76 11.604 19.22

    3 8.4 513.93 13.925 44.68 8.703 27.93

    2 5.6 513.93 9.283 53.97 5.802 33.73

    1 2.8 513.93 4.642 58.61 2.901 36.63

    SUM 2,325.7 58.61 36.63

    6 1 GLD 0.71994

    IDF 0.65378

    SDF 0.65378

    (Pushover Curve) 12 3 (Base Shear) (Roof Displacement)

    B4 B1 B1 B1 B1

    B1 B1 B1

    -

    2

    12 (1 bay)

    6.2ESDOF (Incremental

    Dynamic Analysis; IDA) (Equivalent Single Degree Of Freedom; ESDOF)

    (Nonlinear StaticPushover Analysis; NSP) 12 13, 14 15

    13 EquivalentSingle Degree Of Freedom GLD

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    14 EquivalentSingle Degree Of Freedom IDF

    15 EquivalentSingle Degree Of Freedom SDF

    (Initial Stiffness) IDA ()

    (Dynamic Instability)

    7. 3 1)

    (GLD) 2) (IDF) 3) (SDF)

    = 0.003 .1302-52[13]

    GLD ,IDF,SDF 19.25%W , 27.82%W

    25.92%W W GLD ,IDF ,SDF 0.89%H , 1.24%H 1.49%H 16

    2 2

    16

    3 20 50% 17 , 18 19

    17 (16%, 50%84%) GLD

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    18 (16%, 50%84%) IDF

    19 (16%, 50%84%) SDF

    17, 18, 19

    1) (BKK GLD) 5% 0.31g 0.29%0.032 . 32,188.21 .

    2) (BKK IDF) 5% 0.448g 0.366% 0.038 . 42,795.52 .

    3) (BKKSDF) 5% 0.409g 0.328% 0.034 . 39,923.79 .

    ., .

    [1] ATC. Seismic Evaluation and Retrofit of Concrete BuildingATC-40 Report, Applied Technology Council, Redwood City,

    California, 1996

    [2] FEMA NEHRP. Guidelines for the Seismic Rehabilitation ofBuilding (FEMA273). and NEHRP Commentary on the

    Guidelines for the Seismic Rehabilitation of Building (FEMA274),

    Federal Emergency Management Agency. Washington D.C.,

    1997

    [3] Federal Emergency Management Agency, Pre-standard andCommentary for the Seismic Rehabilitation of Buildings, FEMA-

    356, Washington D.C., Building Seismic Safety Council., 2000

    [4] FEMA 440. IMPROVEMENT OF NONLINEAR STATICSEISMIC ANALYSIS PROCEDURES. Applied Technology

    Council (ATC-55 Project) Department of Homeland Security

    Federal Emergency Management Agency Washington, D.C., 2005

    [5] FEMA P440A. Effects of Strength and Stiffness Degradation onSeismic Response. FEDERAL EMERGENCY MANAGEMENT

    AGENCY. Department of Homeland Security (DHS)., 2009

    [6] Sung YC, Liu KY, Su CK, Tsai IC and Chang KC. A Study onPushover Analyses of Reinforced Concrete Columns. Journal of

    Structural Engineering and Mechanic, 21(1): 3552.,2005

    [7] Akanshu Sharma, G.R. Reddy, K.K. Vaze, R. Eligehausen.Pushover experiment and analysis of a full scale non-seismically

    detailed RC structure.Engineering Structures, Vol.46,2013[8] Y.C. Sung, T.K. Lin, C.C. Hsiao, and M.C. Lai, Pushover

    analysis of reinforced concrete frames considering shear failure at

    beam-column joints. EARTHQUAKE ENGINEERING AND

    ENGINEERING VIBRATION, Vol.12, No.3, September, 2013

    [9] ACI Committee 318 , Building Code Requirements for StructuralConcrete (ACI 318-11) and Commentary, Farmington Hills,

    Michigan, U.S.A., American ConcreteInstitute.,2011

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    10

    [10] Kiattivisanchai, S. Evaluation of Seismic Performance of anExisting Medium-Rise Reinforced Concrete Frame Building in

    Bangkok, M.Eng. thesis, Thesis No. ST-01-11, Asian Institute of

    Technology, 2001

    [11] Prakit Chomchuen and Virote Boonyapinyo, Comparisons ofCurrent Seismic Assessment Methods for Non-Seismic Designed

    Reinforced Concrete Bridges, 15th World Conference on

    Earthquake Engineering, 24-28 September, Lisbon, Portugal,2012

    [12] Dimitrios Vamvatsikos and C. Allin Cornell, SEISMICPERFORMANCE, CAPACITY AND RELIABILITY OF

    STRUCTURES AS SEEN THROUGHINCREMENTAL

    DYNAMIC ANALYSIS, Department of Civil and Environmental

    Engineering Stanford University, August 2005

    [13] . (. 1302) .,2009