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    Advanced Application 2

    Seismic Design for ReinforcedConcrete Building

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    Seismic Design for Reinforced Concrete Building

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    Seismic Design for Reinforced ConcreteBuilding

    Overview

    This example problem is meant to demonstrate the design of a Reinforced Concrete building structuresubjected to floor loads, wind loads and seismic loads.

    DescriptionSeismic Design Data

    - Dual system (special reinforced concrete structural walls with special moment frame) in thetransverse direction

    - Special moment frame in the longitudinal direction- Assigned to a high seismic zone

    Methodology- Response spectrum analysis

    - P-Delta analysis

    Model

    Figure 1 : Reinforced Concrete Building Model

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    Figure 2 : Typical Floor Plan

    Figure 3 : Longitudinal Section

    22-0

    22-0

    22-0

    26-0 26-0 26-0 26-0 26-0 26-0 26-0

    Roof

    12F

    11F

    9F

    8F

    6F

    7F

    5F

    4F

    1F

    3F

    2F

    11@12-0=

    132-0

    16-0

    10F

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    Design Procedure

    1. Material & Section Properties Input

    Material- Concrete fc = 4,000 psi- Reinforcement fy = 60,000 psi

    Section- Edge columns 2424 in.- Interior columns 3030 in.- Beams 2024 in.- Walls 18 in. (In-plane & Out-of-plane)

    Figure 4 : Material & Section Properties Input

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    2. Create Model

    Units : Length > ft

    Set UCS to X-Y Plane

    Origin : 0, 0, 16

    Change View Direction > (on)

    Set Line Grid

    Grid Name = 2F

    X-Grid Lines

    Relative > (on)

    7@26

    Y-Grid Lines

    Relative > (on)

    3@22

    Add/Modify Grid Lines

    Define Grids

    Line Grid, Line Grid Snap (toggle on)

    Figure 5 : Create Grid Lines

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    Figure 5 : Grid Lines in X-Y Plane

    Generate Floor Plan

    Hidden, Node Number, Element Number (toggle on)

    Create Elements

    Element Type = General Beam / Tapered Beam

    Section Name = 3 : Beam

    Draw Elements as shown (Refer Figure 6)

    Figure 6 : Floor Plan

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    Generate Columns

    Change to GCS

    Select All

    Extrude Element

    Node Line Element

    Reverse I-J > (on)

    Element Type = Beam

    Material = 1 : Grade C4000

    Section = 1 : Edge column

    dx, dy, dz = 0, 0, -16

    Figure 7 : Generate Columns

    Change Properties of Interior Columns

    Work> Properties > Section : 1 : Edge column = Active

    Display > Property > Property Name > (on)

    Isometric View (Refer Figure 8)

    Top View > Select Window > Select Interior Columns

    Work> Properties > Section = 2 : Interior column

    Drag & Drop (Refer Figure 9)

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    Figure 8 : Inactivate Beams

    Figure 9 : Drag & Drop Interior Column Properties

    Drop

    Assign

    Drag

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    Generate Walls

    Hidden (toggle off) ; Node Number (toggle on)

    Display > Property > Property Name > (off)

    Select Window(Refer Figure 10)

    Active

    Create Elements

    Element Type : Wall

    Membrane > (on)

    Wall ID > Auto Inc. > 1

    Material Name > 1:Grade C4000

    Thickness > 1:1.5000

    Intersect Node > (on)

    Nodal Connectivity > 50, 42, 10, 18 (Refer on Figure 11)

    Select Single > Wall Element 1

    Translate Element > Copy

    Equal Distance (dx, dy, dz) > 130, 0, 0

    Wall ID Increment = 1

    Figure 10 : Location of Wall Element

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    Figure 11 : Nodal Connectivity of Wall Element

    Figure 12 : Generation of Wall Element

    1

    1

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    Building Generation

    Select All

    Model > Building > Building Generation

    Number of Copies = 11

    Distance(Global Z) = 12

    Figure 13 : Building Generation

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    Generate Story Data

    Model > Building > Story

    Figure 14 : Generation of Story Data

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    3. Boundary Conditions InputThe lower ends of the columns are assumed fixed.

    Model > Boundary > SupportsD All > (on)

    R All > (on)Select Window

    Figure 15 : Boundary Supports

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    4. Loading Data Input

    Load > Static Load Cases

    - Dead Load- Live Load

    - Wind Load (X-direction)- Wind Load (Y-direction)- Earthquake Load (X-direction, Eccentricity direction-Positive)- Earthquake Load (X-direction, Eccentricity direction-Negative)- Earthquake Load (Y-direction, Eccentricity direction-Positive)- Earthquake Load (Y-direction, Eccentricity direction-Negative)

    Figure 16 : Loading Data Input

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    Self Weight

    Load > Self Weight

    Z = -1

    Figure 17 : Self Weight Load

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    Floor Load

    Load > Define Floor Load Type

    - Name > Typical Floor : DL = -30 psf, LL = -75 psf- Name > Roof Level : DL = -10 psf, LL = -20 psf

    Load > Assign Floor Load

    - Load Type > Typical Floor- Two Way Distribution- Copy Floor Load > (on)- Axis > z (on)- Distance > 10@12- Assign Nodes Defining Loading Area > (1, 8, 32, 25)

    Similarly, assign floor load at roof level :

    - Load Type > Roof Level- Copy Floor Load > (off)- Assign Nodes Defining Loading Area > (386, 387, 417, 410)

    Figure 18 : Assign Floor Loads

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    Figure 19 : Floor Load Distribution

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    Wind Loads

    Load > Lateral Loads > Wind Loads

    - Load Case Name > WX- Wind Load Code > IBC2000 (ASCE7-98)- Simplified Procedure > (on)

    - Basic Wind Speed > 85 mile/h- Importance Factor > 1- Exposure Category > B- Scale Factor in Global X > 1- Scale Factor in Global Y > 0

    - Load Case Name > WY- Scale Factor in Global X > 0- Scale Factor in Global Y > 1

    Figure 20 : Input Wind Loads

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    Convert Model Weight & Loads to Masses

    Model > Structure Type

    - Structure Type > 3-D (on)- Convert to X, Y (on)- Gravity Acceleration > 32.1719 (ft/sec2)

    Figure 21 : Convert Model Weight to Masses

    Model > Masses > Loads to Masses

    - Mass Direction > X, Y (on)- Load Type for Converting > All (on)- Gravity > 32.1719 (ft/sec2)- Load Case > DL- Scale Factor > 1

    - Load Case > LL- Scale Factor > 0.25

    Figure 22 : Covert Model Loads to Masses

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    Static Seismic Loads

    Load > Lateral Loads > Static Seismic Loads

    - Load Case Name > EXP- Seismic Load Code > IBC2000 (ASCE7-98)- Seismic Design Category > E

    - Site Class > C- Ss = 1.0- S1 = 0.3- Importance Factor (I) = 1- Period (Code) > X-Dir. = 1.2 ; Y-Dir. = 0- Response Modification Coef. (R) > X-Dir. = 8 (Special moment frame),

    Y-Dir. = 8 (Dual system: special reinforced concretestructural walls with special moment frame)

    - Scale Factor in Global X = 1- Scale Factor in Global Y = 0- Accidental Eccentricity in X-direction > Positive (on)- Accidental Eccentricity in Y-direction > Positive (on)

    -

    Load Case Name > EXN- Period (Code) > X-Dir. = 1.2 ; Y-Dir. = 0- Scale Factor in Global X = 1- Scale Factor in Global Y = 0- Accidental Eccentricity in X-direction > Negative (on)- Accidental Eccentricity in Y-direction > Negative (on)

    - Load Case Name > EYP- Period (Code) > X-Dir. = 0 ; Y-Dir. = 1.2- Scale Factor in Global X = 0- Scale Factor in Global Y = 1- Accidental Eccentricity in X-direction > Positive (on)- Accidental Eccentricity in Y-direction > Positive (on)

    - Load Case Name > EYN- Period (Code) > X-Dir. = 0 ; Y-Dir. = 1.2- Scale Factor in Global X = 0- Scale Factor in Global Y = 1- Accidental Eccentricity in X-direction > Negative (on)- Accidental Eccentricity in Y-direction > Negative (on)

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    Figure 23 : Input Static Seismic Loads

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    Response Spectrum Load

    Load > Response Spectrum Analysis Data > Response Spectrum Functions

    Design Spectrum

    - Design Spectrum > IBC2000 (ASCE7-98)

    - Site Class > C- Ss = 1.0- S1 = 0.3

    Figure 24 : Response Spectrum Loads

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    Load > Response Spectrum Analysis Data > Response Spectrum Load Cases

    - Load Case Name > RX- Direction > X-Y- Excitation Angle = 0 (deg.)- Scale Factor (I/R) > 1/8 = 0.125- Period Modification Factor = 1- Function Name (Damping Ratio) > IBC2000(ASCE7-98) (0.05) > (on)

    - Interpolation of Spectral Data > Linear (on)- Accidental Eccentricity > (on)- Modal Combination Type > SRSS

    - Load Case Name > RY- Excitation Angle = 90 (deg.)- Modal Combination Type > SRSS

    Figure 25 : Response Spectrum Analysis

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    5. Analysis

    Analysis > P-Delta Analysis Control

    - Number of Iterations = 5- Convergence Tolerance = 1e-005- P-Delta Combination > Load Case > DL ; Scale Factor > 1

    - P-Delta Combination > Load Case > LL ; Scale Factor = 0.25

    Analysis > Eigenvalue Analysis Control

    - Type of Analysis > Eigen Vectors (on) > Subspace Iteration (on)- Number of Frequencies = 10- Number of Iterations = 20- Subspace Dimension = 0- Convergence Tolerance = 1e-010

    Perform Analysis

    Figure 27 : P-Delta and Eigenvalue Analysis Control

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    6. Design InputResults > Combinations

    Concrete Design > Auto Generation

    - Option > Add (on)- Design Code > ACI318-02- Scale Up Factor = 1.48 ; RX- Scale Up Factor = 1 ; RY

    Figure 28 : Generation of Load Combinations for Concrete Design

    Bi-directional combination

    needs to be investigated, but

    omitted in this tutorial.

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    Compare RX (RY) with EX (EY)

    RX (RY):

    Results > Result Tables > Story > Story Shear (Response Spectrum Analysis)

    - Spectrum Load Cases > RX(RS) (on) & RY(RS) (on)- Shear Force (Without Spring)

    Figure 29 : Story Shear (Response Spectrum Analysis)

    EX (EY):Load > Lateral Loads > Static Seismic Loads

    Load Case > EXP > Modify > Seismic Load Profile

    - Story Shear (on)

    Similarly, select Load Cases EXN, EYP & EYN

    Figure 30 : Story Shear (Static Seismic Loads)

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    Design > General Design Parameter >Definition of Frame

    - X-direction > Unbraced | Sway (on)- Y-direction > Braced | Non-Sway (on)- Design Type > 3-D- Auto Calculate Effective Length Factors > (on)

    Figure 31 : Definition of Frame

    Design > General Design Parameter > Modify Live Load Reduction Factor

    General Tab

    - Option > Add/Replace (on)- Applied Components > Axial Force (on)- Top View > Select Window

    - Interior columns: Reduction Factor = 0.56

    - Edge column: Reduction Factor = 0.69

    - Corner column: Reduction Factor = 0.88

    Figure 32 : Modify Live Load Reduction Factor

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    - Unbraced Length (L, Lb)- Option > Add/Replace (on)- Unbraced Length > Ly=0 ; Lx=0- Laterally Unbraced Length > Do not consider (on)- Select All

    - Equivalent Moment Correction Factor (Cm)- Option > Add/Replace (on)- Moment Factor > Calculate by Program (on)- Select All

    Figure 34 : Equivalent Moment Correction Factor

    Figure 33 : Unbraced Length

    Design > Concrete Design Parameter > Design Code

    - Design Code > ACI318-02- Apply Special Provisions for Seismic Design > (on)- Select Frame Type > Special Moment Frames (on)

    Figure 35 : Concrete Design Code

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    Design > Concrete Design Parameter > Strength Reduction Factors- Update By Code

    Figure 36 : Strength Reduction Factors

    Design > Concrete Design Parameter > Design Criteria for Rebars (Refer Figure 37)

    Figure 37 : Design Criteria for Rebars

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    Design > Concrete Design Parameter > Modify Concrete Materials

    Select material ID #1

    Rebar Selection

    - Code > ASTM (RC)- Grade of Main Rebar > Grade 60- Grade of Sub-Rebar > Grade 40

    Figure 38 : Modify Concrete Materials

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    7. Design Output

    Design > Concrete Code Design > Beam Design

    Sorted by > Member (on)

    Figure 39 : Concrete Beam Design

    Design > Concrete Code Design > Column Design

    Sorted by > Member (on)

    Figure 40 : Concrete Column Design

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    Design > Concrete Code Design > Wall Design

    Sorted by > Wall ID + Story (on)SEL (Select) > WID (Wall ID) = 1 ; Story = 1F

    Graphic

    Figure 41 : Concrete Wall Design

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    Figure 42 : Typical Output of Concrete Wall Design

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    8. Construction Stage Analysis

    Open Seismic-RC and save as Seismic-RC_Stage.

    Switch the Unit System to kips and in.

    8.1. Define Time Dependent Material Property

    Model>Properties>Time Dependent Material (Creep/Shrinkage)

    Name: C4000Code: CEB-FIP

    Compressive strength of concrete at the age of 28 days: 4

    Notational size of member: 1

    Age of concrete at the beginning of shrinkage: 3Type of cement: Normal or rapid hardening cement (on)

    Check Creep Coefficient and Shrinkage Strain Graphs.

    Figure 43 : Time Dependant Material( Creep/Shrinkage)

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    Figure 44 : Add/Modify Time Dependant Material( Creep/Shrinkage)

    Figure 45 : Show Time Dependant Material Function

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    Model>Properties>Time Dependent Material (Comp. Strength)

    Name: C4000

    Type: Code (on)

    Code: CEB-FIPConcrete Compressive Strength at 28 Days: 4

    Cement Types: N, R: 0.25

    Figure 46 : Add/Modify Time Dependant Material( Comp Strength)

    Figure 47 : Time Dependant Material Comp Strength

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    Model>Properties>Time Dependent Material Link

    Time Dependent Material Type> Creep/Shrinkage: C4000, Comp. Strength: C4000

    Materials: 1:Grade C4000 Selected Materials

    Figure 48 : Time Dependant Material Link

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    Model>Properties>Change Element Dependent Material Property

    Notational Size of Member> Auto Calculate; Code: CEB-FIP

    Select All

    Check Notational Size of Member from the Table by clicking .

    Figure 49 : Change Element Dependant Material Link

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    Figure 50 : Element Dependant Material Property Table

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    8.2. Compose Construction Stages Using Wizard

    Load>Construction Stage Analysis Data>Construction Stage Wizard for Building Structure

    LoadCase: DL ; Story Incr.: 1 ; Stage Duration: 7 ; Member Age: 7

    Figure 51 : Automatic Generation

    Check loads by construction stages.

    Display > Load > Floor Load Name

    Check Structure, Boundary and Load Groups from Group Tree Menu.

    Figure 52 : Construction Stage Wizard for Building Structure

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    Figure 53 : Typical Floor Loads

    8.3. Enter Construction Stage Analysis Control Data

    Analysis> Construction Stage Analysis Control>

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    Figure 54 : Construction Stage Analysis Control Data

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    8.4. Perform Analysis

    Remove P-Delta Analysis Control Data since Construction Stage Analysis and P-Delta Analysis cannot

    be executed simultaneously in the current version 7.0.2.

    Analysis>P-Delta Analysis Control>

    Perform Analysis

    8.5. Review Column Shortening Graph

    Results>Column Shortening Graph for C.S.

    Name: C1

    Coordinate Info> X: 0 ; Y: 0

    >

    Check C1_Creep_Sub ~ C1_Shrnk_Up

    Stages> #CS12Y-Axis Option> Story

    Up to Casting: Column shortening immediately after casting the slab at the current story

    Sub to Casting: Column shortening subsequent to casting the slab at the corresponding storyTotal: Sum of column shortenings for Up to Casting and Sub to casting

    Figure 55 : Define Column Data

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    Figure 56 : Column Shortening Graph

    Save the column shortening graph in a text file format.Right Click > Save Graph as Text

    Figure 57 : Column Shortening Graph Text Output