Cracked Section Analysis MIDAS GEN

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    Contents

    Step 1: Model overview

    Step 2: Load combination

    Step 3: Rebar data

    Step 4: Cracked section analysis

    Slab Deflection Check by Cracked Section nalysis

    Midas Information Technology Co., Ltdhttp://en.midasuser.com

    Program Version Gen 2010 (v2.1)

    Revision Date Nov. 05, 2010

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    Slab Deflection Check b y Cracked Section AnalysisIntrod uct io n of Deflect ion Check

    Step

    00

    This tutorial has been provided to explain how to check cracking deflection in slabs. For this reason, the procedure for general design

    process of slabs and walls are not explained in this tutorial. For the users who are not familiar with the general design of slabs and walls, it is

    recommended to review Meshed Slab and Wall Design as per EN1992-1-1:2004 tutorial before going through this tutorial.

    In the current version of midas Gen, meshed slab/wall design (ULS and SLS including cracking deflection) are provided as per EN1992-1-

    1:2004 only.

    Element type Member type ULS (Ultimate Limit State) Design SLS (Serviceability Limit State) Design

    Beam element Beam, Column

    Bending without axial force

    Bending with axial force

    Shear

    Stress Limitation

    Crack Control

    Deflection Control

    Wall element WallBending with axial force

    Shear-

    Plate elementSlab

    Flexural design (Wood-Armer moment)Punching shear checking

    Stress Limitation (considering cracked moment)

    Crack ControlDeflection Control (Uncracked, Cracked)

    Wall In-plane Stress -

    In Gen 2010 (v2.1), cracking deflection check by cracked section analysis has been implemented as perEN1992-1-1:2004.

    The following design features are available in Gen 2010 (v2.1).

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    Slab Deflection Check b y Cracked Section AnalysisUsage Tip [ Task Pane ]

    Step

    00

    Using the task pane, we can display work procedure, required input items and optional input items for

    each analysis and design case. Using the User Defined Task Pane, the user can create a Task Pane

    manually.

    For the meshed slab wall design feature, TDF file was provided with the tutorial model files for the

    users convenience. In order to import the User Defined Task Pane, please follow the procedure below.

    1. Go to Task Pane tab in the left panel of the midas Gen window.

    2. Click [Task Pane] text from the drop down menu.

    3. Click [Import User Defined Page].

    4. Select slab desig.tpd file and click [Open] button.

    1

    3

    2

    4

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    Slab Deflection Check b y Cracked Section AnalysisOverview

    Step

    01

    1 m 9 m 8 m 1 m

    5m

    6m

    5m

    1m

    1m

    Typical Floor Plan

    A-A Sectional Elevation

    3m

    3m

    3m

    3m

    3m

    A A

    3m

    6m

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    Slab Deflection Check b y Cracked Section Analysis

    Eurocode2-1-1:2004

    Beam: Concrete Grade C25/30 Column: Concrete Grade C30/37 Slab: Concrete Grade C25/30

    Designation Story Section IDColumn Size

    (mm)

    Column 1~5F 2 400 x 400

    Designation Story Section IDSection Size

    (mm)

    Girder 1~5F 1 500 x 400

    Designation Story Thickness IDThickness

    (mm)

    1:02 1~5F 1 200

    Step

    01

    Girder section

    Column section

    Slab thickness

    Materials

    pplied Code

    Detai ls of the bu i lding (1)

    Load Details

    Permanent

    LoadSelf Weight Weight Density: 23.54 kN/m3

    V

    a

    ri

    a

    b

    l

    e

    L

    o

    ad

    s

    Imposed

    LoadPressure Load Shopping areas : 4.0 kN/m2

    Wind

    LoadX-dir./ Y-dir.

    Eurocode-1(2005)

    Terrain Category : II

    Earthquake

    LoadX-dir./ Y-dir.

    Eurocode-8(2004)

    Spectrum Parameters: TYPE 1

    Ground Type : B

    Importance Factor : 1.0

    Appl ied Load

    S

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    Slab Deflection Check b y Cracked Section Analysis

    Step

    01

    Procedure

    2

    3

    1 File > Open Project

    Select flat slab_CSA.mgb.

    Click [Open] button.

    1-1.Openi ng the pre-generated model fi le

    Open the pre-generated modelfile.

    2

    3

    St

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    Slab Deflection Check b y Cracked Section Analysis

    Procedure

    Results > Comb inations >

    Concrete Design tab

    Click [Auto Generation]

    button.

    Click [OK], and [Close] button.

    Click icon to perform an

    analysis.

    1

    Step

    02

    2

    3

    2

    3

    4

    2-1. Au tomatic generat ion of lo ad com binat ions

    3

    4

    Step

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    Slab Deflection Check b y Cracked Section Analysis

    Step

    02

    Procedure

    Des i gn >

    Meshed Slab /Wal l Des ign >Serv iceabi l i ty Load

    Combinat ion Type

    Click [OK]

    1

    2

    2-2. Serviceabi l i ty load c ombinat ion type

    1

    2

    Cracking deflection can be checkedonly for Quasi-permanentserviceability load combination type.

    Serviceability load combinationtype is automatically classified ifAuto Generation function has beenused to generate load-combinations.

    If the user manually defined loadcombinations, serviceability loadcombination type must be definedby the user.

    If serviceability load combinationtype is not specified, SlabServiceability Checking is not

    performed.

    cLCB28 = 1.0D + 0.3LL

    Step

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    Slab Deflection Check b y Cracked Section Analysis

    Step

    02

    Procedure

    Des i gn >

    Meshed Slab /Wal l Des ign >

    Slab /Wal l Load Combinat ions

    Click [OK]

    1

    2

    2-3. Slab and wall load combinat ion s

    Slab/Wall Load Combination

    Select the load combinations for

    the slab/wall element design.

    2Cracked section analysis will beperformed for the Quasi-Permanent load combinationsselected in Deflection(Cracked)field.

    1

    Step

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    Slab Deflection Check b y Cracked Section Analysis

    Step

    02

    Procedure

    Des i gn >

    Meshed Slab /Wal l Des ign >

    Serv iceabi l i ty Parameters

    Select [All] option.

    Select [L/250] option for thedeflection limit.

    Click [Apply] button.

    1

    2

    2-4. Slab Serviceabil i ty Parameters

    Serviceability Parameters

    Define deflection limit. Slab

    length L can be automatically

    recognized by the program as asub-domain length.

    4

    Deflection limit is entered asSpan/250 as per the clause 7.4.1(4) of EN1992-1-1:2004. It will beapplied for quasi-permanent load

    combinations.

    2

    33

    4

    Step

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    Slab Deflection Check b y Cracked Section Analysis

    Step

    03

    Procedure

    Click [Active by Identifying]icon.

    Select [Story], [4F], [+Below]options.

    Click [Active] and [Close]button.

    Design >

    Meshed Slab/Wall Design >

    Slab/Wall Rebars for Checking

    Select S1 from the Name listand check the rebar diameter and spacing.

    Select S2 from the Name listand check the rebar diameter and spacing.

    Click [Close]

    1

    2

    3

    3. Check rebar data

    Check rebar data

    Cracked section analysis can

    be performed for the elements

    which contain rebar data. Rebardata were entered in this model.

    4

    1

    5

    2

    4

    3

    5

    6

    7

    Step

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    Slab Deflection Check b y Cracked Section Analysis

    p

    03

    Procedure

    Click [Display] icon.

    Click [Design] tab and check on[Sub-Domain Rebar Direction]options.

    Click [Apply] button and checkthe rebar direction and subdomains.

    Check on [Meshed Slab RebarData] option.

    Click [Apply] button and check

    the rebar data for each element.

    Check off [Sub-Domain RebarDirection] and [Meshed SlabRebar Data] option. Click [OK]button.

    1

    2

    3

    3. Check rebar data

    Check rebar data

    Cracked section analysis can

    be performed for the elements

    which contain rebar data. Rebardata were entered in this model.

    4

    1

    5

    2

    3, 5

    4

    6

    6

    Step

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    Slab Deflection Check b y Cracked Section Analysis

    p

    04

    Procedure

    Design >

    Meshed Slab/Wall Design >

    Cracked Section AnalysisControl

    Enter 0.01 for ConvergenceTolerance

    Click : [OK]

    1

    2

    3

    4-1. Cracked sect ion analysis co ntrol

    Cracked section analysis control

    As the program use the updated

    effective second moment of area

    during the cracked section analysis,convergence criteria and iteration

    numbers needs to be entered.

    2

    3

    Step

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    Slab Deflection Check b y Cracked Section Analysis04

    Procedure

    Design >

    Meshed Slab/Wall Design >

    Perform Cracked Section

    Analysis

    1

    4-2. Perform cracked sect ion analysis

    Perform cracked section analysis

    Regardless of the activated

    elements, cracked section analysis

    is performed for all the slabs whichcontains rebar data.

    Cracked section analysis is skippedin the following cases:

    (1) Mat foundation type plateelements specified in Define SubDomain dialog box (Model >Domain > Define Sub Domain).

    (2) When no rebar data has beenentered

    (3) When the entered concrete cover islarger than the plate thickness

    (4) When no load combinationsselected for Deflection (Cracked)

    column in Meshed Slab/Wall LoadCombinations dialog box(Design > Meshed Slab/WallDesign > Slab/Wall LoadCombinations )

    Step

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    Slab Deflection Check b y Cracked Section Analysis04

    Procedure

    Design >

    Meshed Slab/Wall Design >

    Slab Serviceability Checking

    Click icon.

    Select [Story] and [3F] in the list.

    Click [Active] icon.

    Click [Deflection].

    Click [Cracked] to check thecracked section analysis results.

    Select [Crack Point] option.

    Click [Value].

    Click [Apply] and check theresults in the model view.

    1

    2

    3

    4

    2

    45

    5

    6

    4-3. Check crack ing deflection (1)

    6

    7

    8

    7

    8

    3

    Step

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    Slab Deflection Check b y Cracked Section Analysis04

    Procedure

    Click [Ratio] option.

    Click [Apply] button. Crackingdeflection ratio comparing to thedeflection limit is displayed in themodel view.

    Click [Design Result] button tocheck the detailed results.

    Check the detailed results in thetext file. Effective second moment

    of area can be checked for dir. 1and dir. 2 separately.

    It also contains deflection limit bysub-domains.

    1

    2

    3

    4-3. Check crack ing deflection (2)

    1

    Step

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    Slab Deflection Check b y Cracked Section Analysis04

    Procedure

    Select [Creep] option.

    Select [Value] option.

    Click [Apply] to see the long-termcracking deflection.

    Click [Close] button.

    1

    2

    3

    4-3. Check crack ing deflection (2)

    1

    3

    2

    Step

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    Slab Deflection Check b y Cracked Section Analysis

    Members which are expected to crack, but may not be fully cracked, will behave in a manner

    intermediate between the uncracked and fully cracked conditions and, for members subjected mainly to

    flexure, an adequate prediction of behavior is given by the following expression based on the sub clause

    7.4.3 (3) in EN 1992-1-1:2004. Following factors including the effective second moment of area by

    elements for each iteration step can be checked in "File Name_CSA.OUT

    file which is automaticallygenerated in the same folder as a model file has been saved after performing the cracked section

    analysis.

    Therefore Ieff (effective second moment of area) can be calculated from the following equation.

    Where,

    04

    Procedure

    [Effective second moment of area ]

    4-3. Check crack ing deflection (3)

    where, fctm: mean value of axial tensile strength of concrete

    bc: depth of concrete in compression

    (Reference: Designers Guide to EN1992-2, Hendy &

    Smith, thomas telford)

    Step

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    Slab Deflection Check b y Cracked Section Analysis

    "File Name_CSA.OUT" file contains the following data for each iteration step by elements. Final effective

    second moment of area can be checked in the final iteration step. This file is provided for the users

    verification of the cracked section analysis results.

    04

    Procedure

    [File name_CSA.OUT file]

    4-3. Check crack ing deflection (4)

    element no.I_effective

    (dir_1)

    effective I

    (dir_2)

    I_fully cracked

    (dir 1)

    I_fully cracked

    (dir 2)I_uncracked cracked moment

    dc

    (dir 1)

    dc

    (dir2)

    Updated

    moment (dir1)

    updated

    moment (dir 2)

    No. Ieff_x Ieff_y Icr_x Icr_y Ig Mcr Dc_x Dc_y MO_x MO_y

    334 1.22E-04 6.67E-04 7.76E-05 0.00E+00 6.67E-04 1.71E+04 3.34E-02 0.00E+00 1.89E+04 4.49E+03

    n (Es/Ec)Rebar Area

    (dir 1)

    Rebar Area

    (Dir 2)

    Effective depth

    (dir 1)

    Effective depth

    (dir 2)

    (dir 1)

    (dir 2)

    I_eff / I_cracked

    (dir 1)

    I_eff / I_cracked

    (dir 2)

    Final

    effective I (dir 1)

    Final

    effective I (dir 2)

    n(Es/Ec) AS_X AS_Y DD_X DD_Y XI_X XI_Y RATIO_X RATIO_Y RATIO_X*Ig RATIO_Y*Ig

    6.35E+00 7.54E-04 7.54E-04 1.50E-01 1.50E-01 5.91E-01 0.00E+00 1.82E-01 1.000000 1.22E-04 6.67E-04

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