Axially and Uniaxially Loaded Columns
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Transcript of Axially and Uniaxially Loaded Columns
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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
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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:
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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
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Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons
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Tied and Spiral Columns
Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons
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Tied and Spiral Columns
AUS Library: Courtesy of Jamal Abdalla
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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
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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
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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
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Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons
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Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons
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Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons
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Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons
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Columns Under Unaxial Bending
Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons
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Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons
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Column Interaction Diagram
reference: McCormac
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Column Interaction Diagram
Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons
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Design Interaction Diagram
Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons
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reference: McCormac
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reference: McCormac
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Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons
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Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons
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Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons
>0.005 0.9
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Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons
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Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons
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Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons
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Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons
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Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons
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Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons
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Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons
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Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons
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Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons
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Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons
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Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons
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reference: McCormac
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reference: McCormac
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Ref. McCormac, J. C. and Nelson Jr., J. K., Design of Reinforced Concrete, 6th Edition, 2005, John Wiley and Sons
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Shear in Columns
Ref McCormac J C and Nelson Jr J K Design of Reinforced Concrete 6th Edition 2005 John Wiley and Sons