Axially and Uniaxially Loaded Columns

download Axially and Uniaxially Loaded Columns

of 39

Transcript of Axially and Uniaxially Loaded Columns

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    1/39

    Axially and Uni-axially Loaded Columns

    CVE411 Structural Concrete Design

    Jamal A. Abdalla

    Textbook: Chapter 9 & 10

    ACI 318-05 Code: Chapter 10

    Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    2/39

    Objectives and Outcomes

    y Review the design of axially loaded and unaxially loaded

    columns

    1. Apply the ACI requirements for reinforced concrete columns

    2. Design of axially loaded tied columns and spiral columns

    3. Design of uniaxially loaded columns using interaction diagram.

    4. Design of shear reinforcement in columns

    Objectives:

    Outcomes:

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    3/39

    Code requirements for Concrete columns

    The ACI Code specifies quite a fewlimitations on the dimensions, reinforcing,

    lateral restraint, and other

    ite

    ms pert

    aining

    tocon

    cretecolumns. Som

    eofthe

    mostimportant limitations are listed below:

    1. The percentage of longitudinal reinforcement may not be less than 1% of

    the gross cross-sectional area ofa column.

    2. The maximum percentage ofsteel may not be greater than 8% ofthe

    gross cross-sectional area ofthecolumn.3. The minimum numbers of longitudinal bars permissibleforcompression

    members are as follows:4 forbars within rectangularorcircularties, 3 for

    bars within triangularshaped ties, and 6 forbars enclosed within spirals.

    4. Minimum widths ordiameters ofcolumns is about8 to 10 in. This is to

    allowforthe necessary coveroutside ofties orspirals and to providethe

    necessary clearance between longitudinal bars from oneface ofthe

    column to the other.

    5. When tied columns are used, theties shall not beless than #3, provided

    thatthe longitudinal bars are #10 orsmaller. The minimum sizeis #4 for

    longitudinal bars largerthan #10 and forbundled bars.

    ACI Committee 318, Building Code Requirements for Structural Concrete and Commentary, ACI 318-02 Edition, 2002, American Concrete Institute, Farmington Hills, Michigan

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    4/39

    Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    5/39

    Tied and Spiral Columns

    Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    6/39

    Tied and Spiral Columns

    AUS Library: Courtesy of Jamal Abdalla

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    7/39

    Tied Columns

    ])(85.0[80.0 ' stystgcn AfAAfP !

    nu PP Je

    J

    Fortied columns the design strengthis given by:

    The LRFDDesign equation is given by:

    =0.65 fortied columns

    gA

    stA

    = Gross area ofcolumn

    = Area ofsteelreference: McCormac

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    8/39

    Spiral Columns

    gA

    stA

    ])(85.0[85.0 ' stystgcn AfAAfP !

    nuPP Je

    Forspiral columns the design strengthis given by:

    The LRFDDesign equation is given by:

    J =0.70forspiral columns

    = Gross area ofcolumn

    = Area ofsteelreference: McCormac

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    9/39

    Design of Spiral Reinforcement

    Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons

    as = area ofspiral

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    10/39

    Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    11/39

    Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    12/39

    Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    13/39

    Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    14/39

    Columns Under Unaxial Bending

    Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    15/39

    Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    16/39

    Column Interaction Diagram

    reference: McCormac

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    17/39

    Column Interaction Diagram

    Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    18/39

    Design Interaction Diagram

    Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    19/39

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    20/39

    reference: McCormac

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    21/39

    reference: McCormac

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    22/39

    Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    23/39

    Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    24/39

    Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons

    >0.005 0.9

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    25/39

    Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    26/39

    Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    27/39

    Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    28/39

    Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    29/39

    Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    30/39

    Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    31/39

    Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    32/39

    Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    33/39

    Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    34/39

    Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    35/39

    Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    36/39

    reference: McCormac

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    37/39

    reference: McCormac

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    38/39

    Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons

  • 8/3/2019 Axially and Uniaxially Loaded Columns

    39/39

    Shear in Columns

    Ref McCormac J C and Nelson Jr J K Design of Reinforced Concrete 6th Edition 2005 John Wiley and Sons