SlideShare a Scribd company logo
Reinforced concrete column
Prepared by: M.N.M Azeem Iqrah
B.Sc.Eng (Hons), C&G (Gdip)
Skills College of Technology
Introduction to column
• Columns act as vertical supports to beams and
slabs, and to transmit the loads to the
foundations.
• Columns are primarily compression members,
although they may also have to resist bending
moment transmitted by beams.
• Columns may be classified as short or slender,
braced or unbraced depending on various
dimensional and structural factors.
Column sections
• Common column cross sections are: (a)
square, (b) circular and (c) rectangular section.
• The greatest dimension should not exceed
four times its smaller dimension. (h≤4b).
• For h>4b, the member should be regarded as
a wall for design purpose.
Failure modes of columns
• Columns may fail in one of three mechanisms:
1. Compression failure of the concrete or steel
reinforcement;
2. Buckling
3. Combination of buckling and compression
failure.
• Compression failure is likely to occur with
columns which are short and stocky.
• Buckling is probable with columns which are long
and slender.
Failure modes of columns
Compression
failure Buckling
Short and slender columns
(Clause
3.8.1.3, BS 8110)
• A braced column is classified as being short if :
Braced and unbraced columns
(clause
3.8.1.5, BS 8110)
• A column may be considered braced in a given
plane if lateral stability to the structure as a
whole is provided by wall or bracing or
buttressing designed to resist all lateral forces
in that plane. It should otherwise be
considered as unbraced.
Braced and unbraced columns (clause 3.8.1.5,
BS 8110)
Braced and unbraced columns (clause 3.8.1.5,
BS 8110)
Effective height of column (clause
3.8.1.6, BS 8110)
• The effective height, le of a column in a given
plane may be obtained from the following
equation:
Where  is a coefficient depending on the fixity
at the column ends and lo is the height of the
columns.
• Effective height for a column in two plane
directions may be different.
Effective height of column
(clause
3.8.1.6, BS 8110)
•  for braced column can be obtained from
Table 3.19.
• End condition 1 signifies that the column end is fully
restrained.
• End condition 2 signifies that the column end is partially
restrained .
• End condition 3 signifies that the column is nominally
restrained.
End conditions (clause 3.8.1.6.2, BS 8110)
• End condition 1 – the end of the column is
connected monolithically to beams on either side
which are at least as deep as the overall dimension
of the column in the plane considered. Where the
column is connected to foundation, it should be
designed to carry moment.
• End condition 2 – the end of column is connected
monolithically to beams or slabs on either side which
are shallower than the overall dimension of the
column in the plane considered.
End conditions (clause 3.8.1.6.2, BS 8110)
• End condition 3 – the end of the column is
connected to members which, while not specifically
designed to provide restraint to rotation of the
column will nevertheless, provide some nominal
restraint.
End conditions (clause 3.8.1.6.2, BS 8110)
Example 3.17 classification of column (Arya,
2009)
• Determine if the column shown below is short.
Example 3.17 classification of column (Arya,
2009)
Short column design
• The short column are divided into three
categories:
1. Columns resisting axial load only,
2. Columns supporting an approximately
symmetrical arrangement of beams,
3. Columns resisting axial loads and uniaxial or
biaxial bending
• B2 will resist an axial load only, as it supports beams
equal in length and symmetrically arranged.
• C2 supports a symmetrical arrangement of beams
but which are unequal in length. If (a) the loadings
on the beam are uniformly distributed, (2)the beam
spans do not differ by more than 15 percent, the
column C2 belongs to category 2.
• If the column does not meet criteria (a) and (b), then
the column belongs to category 3.
Theoretical strength of reinforced concrete
column
The equation is derived on the assumption that the axial load is
applied perfectly at the centre of the column.
Clause 3.8.4.3 Nominal eccentricity of short columns
resisting moments and axial force
• Toallow for nominal eccentricity, BS 8110
reduce the theoretical axial load capacity by
about 10%.
• Design maximum axial load capacity of short
column is:
Clause 3.8.4.4 Short braced columns supporting an
approximately symmetrical arrangement of beam
• The column is subjected to axial and small
moment when it supports approximately
symmetrical arrangement of beams:
•
• The design axial load capacity:
Column resisting an axial load and
uniaxial bending
• For column resisting axial load and bending moment
at one direction, the area of longitudinal
reinforcement is calculated using design charts in
Part 3 BS 8110.
• The design charts are available for columns having a
rectangular cross section and symmetrical
arrangement of reinforcement.
Column resisting an axial load and
uniaxial bending
• Design charts are derived based on yield stress of
460 N/mm2 for reinforcement steel. They are
applicable for reinforcement with yield stress of
500 N/mm2, but the area of reinforcement
obtained will be approximately 10% greater than
required.
• Design charts are available for concrete grades –
25, 30, 35, 40, 45 and 50.
• The d/h ratios are in the range of 0.75 to 0.95 in
0.05 increment.
Design chart for column resisting an axial load and
uniaxial bending moment, (Part 3, BS 8110)
Column resisting an axial load and
biaxial bending
• The columns are subjected to an
axial and bending moment in both x
and y directions.
• The columns with biaxial moments
are simplified into the columns with
uniaxial momentby increasing the
moment about one of the axes then
design the reinforcement according
the increased moment.
Column resisting an axial load and biaxial
bending (clause 3.8.4.5, BS 8110)
Reinforcement details: longitudinal
reinforcement (clause 3.12.5, BS 8110)
1. Size and minimum number of bars – bar size should not be
less than 12 mm in diameter. Rectangular column should
reinforced with minimum 4 bars; circular column should
reinforced with minimum 6 bars.
2. The area of longitudinal reinforcement should lie in the
limits:
3. Spacing of reinforcement – the minimum distance between
adjacent bars should not be less than the diameter of the
bar or hagg + 5 mm.
Reinforcement details – links (clause 3.12.7, BS 8110)
• The axial loading on the column may cause buckling
of the longitudinal reinforcement and subsequent
cracking and spalling of concrete cover.
• Links are passing round the bars to prevent buckling.
Reinforcement details – links (clause 3.12.7, BS 8110)
1. Size and spacing of links – the diameter of
the link should be at least one quarter of the
largest longitudinal bar size or minimum 8
mm. The maximum spacing is 12 times of the
smallest longitudinal bar.
2. Arrangement of links
Example 3.20 axially loaded column (Arya, 2009)
• Design the longitudinal and links for a 350mm square, short
braced column based on following information.
Example 3.20 axially loaded column (Arya, 2009)
Example 3.21 Column supporting an approximately
symmetrical arrangement of beam ( Arya, 2009)
• An internal column in a braced two-storey building supporting
an approximately symmetrical arrangement of beams
(350mm wide x 600 mm deep) results in characteristic dead
and imposed loads each of 1100 kN being applied to the
column. The column is 350 mm square and has a clear height
of 4.5 m. Design the longitudinal reinforcement and links.
Example 3.21 Column supporting an approximately
symmetrical arrangement of beam ( Arya, 2009)
Example 3.21 Column supporting an approximately
symmetrical arrangement of beam ( Arya, 2009)
Example 3.21 Column supporting an approximately
symmetrical arrangement of beam ( Arya, 2009)
• Links
• link = diameter of largest longitudinal bar/4
• = 32/4 = 8 mm (equal to minimum bar size
of 8 mm)
• The spacing of the links
• = the lesser of (12 smallest longitudinal bar or
the smallest cross sectional dimension of
column)
• = the lesser of (12x25 = 300 mm or 350 mm)
• = 300 mm
Example 3.22 Columns resisting an
axial load and bending moment
• Design the longitudinal and shear reinforcement for
a 275 mm square, short braced column which
supports either
(a) An ultimate axial load of 1280 kN and a moment of
62.5 kNm about the x-x axis
(b) An ultimate axial load of 1280 kN and bending
moment of 35 kNm about the x-x axis and 25 kNm
about the y-y axis
Example 3.22 Columns resisting an axial load and bending moment
Example 3.22 Columns resisting an axial load and bending moment
Example 3.22 Columns resisting an axial load and bending moment
Example 3.22 Columns resisting an axial load and bending moment
Example 3.22 Columns resisting an axial load and bending moment

More Related Content

What's hot (20)

Design of pile cap
Design of  pile capDesign of  pile cap
Design of pile cap
 
Slabs -Design steps
Slabs -Design steps Slabs -Design steps
Slabs -Design steps
 
Column design: as per bs code
Column design: as per bs codeColumn design: as per bs code
Column design: as per bs code
 
Two way slab
Two way slabTwo way slab
Two way slab
 
Civil structural engineering - Flat slab design
Civil structural engineering -  Flat slab designCivil structural engineering -  Flat slab design
Civil structural engineering - Flat slab design
 
Bs8110 design notes
Bs8110 design notesBs8110 design notes
Bs8110 design notes
 
Design of footing as per IS 456-2000
Design of footing as per IS 456-2000Design of footing as per IS 456-2000
Design of footing as per IS 456-2000
 
Presentation o beam
Presentation o beamPresentation o beam
Presentation o beam
 
Steel column base44
Steel column base44Steel column base44
Steel column base44
 
Footing design
Footing designFooting design
Footing design
 
Tower design-Chapter 2-pile caps design
Tower design-Chapter 2-pile caps designTower design-Chapter 2-pile caps design
Tower design-Chapter 2-pile caps design
 
Design of beams
Design of beamsDesign of beams
Design of beams
 
Reinforced slab
Reinforced slabReinforced slab
Reinforced slab
 
Beams
Beams Beams
Beams
 
Design of columns as per IS 456-2000
Design of columns as per IS 456-2000Design of columns as per IS 456-2000
Design of columns as per IS 456-2000
 
Three.hinged.arch
Three.hinged.archThree.hinged.arch
Three.hinged.arch
 
Shear Strenth Of Reinforced Concrete Beams Per ACI-318-02
Shear Strenth Of Reinforced Concrete Beams Per ACI-318-02Shear Strenth Of Reinforced Concrete Beams Per ACI-318-02
Shear Strenth Of Reinforced Concrete Beams Per ACI-318-02
 
Slab Design-(BNBC & ACI)
Slab Design-(BNBC & ACI)Slab Design-(BNBC & ACI)
Slab Design-(BNBC & ACI)
 
Etabs modeling - Design of slab according to EC2
Etabs modeling  - Design of slab according to EC2Etabs modeling  - Design of slab according to EC2
Etabs modeling - Design of slab according to EC2
 
Singly reinforced beam design
Singly reinforced beam   designSingly reinforced beam   design
Singly reinforced beam design
 

Similar to Lecture note on column design

Lec12 Continuous Beams and One Way Slabs(2) Columns (Reinforced Concrete Desi...
Lec12 Continuous Beams and One Way Slabs(2) Columns (Reinforced Concrete Desi...Lec12 Continuous Beams and One Way Slabs(2) Columns (Reinforced Concrete Desi...
Lec12 Continuous Beams and One Way Slabs(2) Columns (Reinforced Concrete Desi...Hossam Shafiq II
 
Introduction to design of rcc column
Introduction to design of rcc columnIntroduction to design of rcc column
Introduction to design of rcc columnPHURTSHERINGSHERPA
 
RCC column_Shortly Axially Loaded column.pptx
RCC column_Shortly Axially Loaded column.pptxRCC column_Shortly Axially Loaded column.pptx
RCC column_Shortly Axially Loaded column.pptxHaswanthKollu
 
Column uniaxial axial loaded column design
Column  uniaxial axial loaded column designColumn  uniaxial axial loaded column design
Column uniaxial axial loaded column designUmarSaba1
 
Jsjdjsjsjjeksksksksmsmmsmsmsmsmsmksksmmsnsns
JsjdjsjsjjeksksksksmsmmsmsmsmsmsmksksmmsnsnsJsjdjsjsjjeksksksksmsmmsmsmsmsmsmksksmmsnsns
JsjdjsjsjjeksksksksmsmmsmsmsmsmsmksksmmsnsnsHiteshVasava8
 
Columns rajeevan sir
Columns rajeevan sirColumns rajeevan sir
Columns rajeevan sirSHAMJITH KM
 
Ch8 Truss Bridges (Steel Bridges تصميم الكباري المعدنية & Prof. Dr. Metwally ...
Ch8 Truss Bridges (Steel Bridges تصميم الكباري المعدنية & Prof. Dr. Metwally ...Ch8 Truss Bridges (Steel Bridges تصميم الكباري المعدنية & Prof. Dr. Metwally ...
Ch8 Truss Bridges (Steel Bridges تصميم الكباري المعدنية & Prof. Dr. Metwally ...Hossam Shafiq II
 
Design of columns axial load as per IS 456-2000
Design of columns  axial load as per IS 456-2000Design of columns  axial load as per IS 456-2000
Design of columns axial load as per IS 456-2000PraveenKumar Shanmugam
 
CE 72.52 - Lecture6 - Member Behavior
CE 72.52 - Lecture6 - Member BehaviorCE 72.52 - Lecture6 - Member Behavior
CE 72.52 - Lecture6 - Member BehaviorFawad Najam
 
Introduction of columns
Introduction of columns Introduction of columns
Introduction of columns QutbuddinNoyan
 
Overvew column analysis
Overvew column analysisOvervew column analysis
Overvew column analysisSubin Desar
 
seismic behaviour of beam column joint
seismic behaviour of beam column jointseismic behaviour of beam column joint
seismic behaviour of beam column jointsaurabh gehlod
 
COMPOSITE BEAMS.pdf
COMPOSITE BEAMS.pdfCOMPOSITE BEAMS.pdf
COMPOSITE BEAMS.pdfZeinab Awada
 
Ch4 Bridge Floors (Steel Bridges تصميم الكباري المعدنية & Prof. Dr. Metwally ...
Ch4 Bridge Floors (Steel Bridges تصميم الكباري المعدنية & Prof. Dr. Metwally ...Ch4 Bridge Floors (Steel Bridges تصميم الكباري المعدنية & Prof. Dr. Metwally ...
Ch4 Bridge Floors (Steel Bridges تصميم الكباري المعدنية & Prof. Dr. Metwally ...Hossam Shafiq II
 

Similar to Lecture note on column design (20)

Building project rc column
Building project rc columnBuilding project rc column
Building project rc column
 
Lec12 Continuous Beams and One Way Slabs(2) Columns (Reinforced Concrete Desi...
Lec12 Continuous Beams and One Way Slabs(2) Columns (Reinforced Concrete Desi...Lec12 Continuous Beams and One Way Slabs(2) Columns (Reinforced Concrete Desi...
Lec12 Continuous Beams and One Way Slabs(2) Columns (Reinforced Concrete Desi...
 
Introduction to design of rcc column
Introduction to design of rcc columnIntroduction to design of rcc column
Introduction to design of rcc column
 
RCC column_Shortly Axially Loaded column.pptx
RCC column_Shortly Axially Loaded column.pptxRCC column_Shortly Axially Loaded column.pptx
RCC column_Shortly Axially Loaded column.pptx
 
M10l21
M10l21M10l21
M10l21
 
Column uniaxial axial loaded column design
Column  uniaxial axial loaded column designColumn  uniaxial axial loaded column design
Column uniaxial axial loaded column design
 
Jsjdjsjsjjeksksksksmsmmsmsmsmsmsmksksmmsnsns
JsjdjsjsjjeksksksksmsmmsmsmsmsmsmksksmmsnsnsJsjdjsjsjjeksksksksmsmmsmsmsmsmsmksksmmsnsns
Jsjdjsjsjjeksksksksmsmmsmsmsmsmsmksksmmsnsns
 
Ductile detailing
Ductile detailingDuctile detailing
Ductile detailing
 
Columns rajeevan sir
Columns rajeevan sirColumns rajeevan sir
Columns rajeevan sir
 
Ch8 Truss Bridges (Steel Bridges تصميم الكباري المعدنية & Prof. Dr. Metwally ...
Ch8 Truss Bridges (Steel Bridges تصميم الكباري المعدنية & Prof. Dr. Metwally ...Ch8 Truss Bridges (Steel Bridges تصميم الكباري المعدنية & Prof. Dr. Metwally ...
Ch8 Truss Bridges (Steel Bridges تصميم الكباري المعدنية & Prof. Dr. Metwally ...
 
Design of columns axial load as per IS 456-2000
Design of columns  axial load as per IS 456-2000Design of columns  axial load as per IS 456-2000
Design of columns axial load as per IS 456-2000
 
H slabs
H slabsH slabs
H slabs
 
CE 72.52 - Lecture6 - Member Behavior
CE 72.52 - Lecture6 - Member BehaviorCE 72.52 - Lecture6 - Member Behavior
CE 72.52 - Lecture6 - Member Behavior
 
Introduction of columns
Introduction of columns Introduction of columns
Introduction of columns
 
Overvew column analysis
Overvew column analysisOvervew column analysis
Overvew column analysis
 
Design of reinforced concrete beam
Design of reinforced concrete beamDesign of reinforced concrete beam
Design of reinforced concrete beam
 
seismic behaviour of beam column joint
seismic behaviour of beam column jointseismic behaviour of beam column joint
seismic behaviour of beam column joint
 
COMPOSITE BEAMS.pdf
COMPOSITE BEAMS.pdfCOMPOSITE BEAMS.pdf
COMPOSITE BEAMS.pdf
 
Ch4 Bridge Floors (Steel Bridges تصميم الكباري المعدنية & Prof. Dr. Metwally ...
Ch4 Bridge Floors (Steel Bridges تصميم الكباري المعدنية & Prof. Dr. Metwally ...Ch4 Bridge Floors (Steel Bridges تصميم الكباري المعدنية & Prof. Dr. Metwally ...
Ch4 Bridge Floors (Steel Bridges تصميم الكباري المعدنية & Prof. Dr. Metwally ...
 
presentation
presentationpresentation
presentation
 

Recently uploaded

Pharmacy management system project report..pdf
Pharmacy management system project report..pdfPharmacy management system project report..pdf
Pharmacy management system project report..pdfKamal Acharya
 
fluid mechanics gate notes . gate all pyqs answer
fluid mechanics gate notes . gate all pyqs answerfluid mechanics gate notes . gate all pyqs answer
fluid mechanics gate notes . gate all pyqs answerapareshmondalnita
 
Laundry management system project report.pdf
Laundry management system project report.pdfLaundry management system project report.pdf
Laundry management system project report.pdfKamal Acharya
 
RESORT MANAGEMENT AND RESERVATION SYSTEM PROJECT REPORT.pdf
RESORT MANAGEMENT AND RESERVATION SYSTEM PROJECT REPORT.pdfRESORT MANAGEMENT AND RESERVATION SYSTEM PROJECT REPORT.pdf
RESORT MANAGEMENT AND RESERVATION SYSTEM PROJECT REPORT.pdfKamal Acharya
 
Architectural Portfolio Sean Lockwood
Architectural Portfolio Sean LockwoodArchitectural Portfolio Sean Lockwood
Architectural Portfolio Sean Lockwoodseandesed
 
Halogenation process of chemical process industries
Halogenation process of chemical process industriesHalogenation process of chemical process industries
Halogenation process of chemical process industriesMuhammadTufail242431
 
Automobile Management System Project Report.pdf
Automobile Management System Project Report.pdfAutomobile Management System Project Report.pdf
Automobile Management System Project Report.pdfKamal Acharya
 
A case study of cinema management system project report..pdf
A case study of cinema management system project report..pdfA case study of cinema management system project report..pdf
A case study of cinema management system project report..pdfKamal Acharya
 
KIT-601 Lecture Notes-UNIT-4.pdf Frequent Itemsets and Clustering
KIT-601 Lecture Notes-UNIT-4.pdf Frequent Itemsets and ClusteringKIT-601 Lecture Notes-UNIT-4.pdf Frequent Itemsets and Clustering
KIT-601 Lecture Notes-UNIT-4.pdf Frequent Itemsets and ClusteringDr. Radhey Shyam
 
Fruit shop management system project report.pdf
Fruit shop management system project report.pdfFruit shop management system project report.pdf
Fruit shop management system project report.pdfKamal Acharya
 
IT-601 Lecture Notes-UNIT-2.pdf Data Analysis
IT-601 Lecture Notes-UNIT-2.pdf Data AnalysisIT-601 Lecture Notes-UNIT-2.pdf Data Analysis
IT-601 Lecture Notes-UNIT-2.pdf Data AnalysisDr. Radhey Shyam
 
Immunizing Image Classifiers Against Localized Adversary Attacks
Immunizing Image Classifiers Against Localized Adversary AttacksImmunizing Image Classifiers Against Localized Adversary Attacks
Immunizing Image Classifiers Against Localized Adversary Attacksgerogepatton
 
WATER CRISIS and its solutions-pptx 1234
WATER CRISIS and its solutions-pptx 1234WATER CRISIS and its solutions-pptx 1234
WATER CRISIS and its solutions-pptx 1234AafreenAbuthahir2
 
Quality defects in TMT Bars, Possible causes and Potential Solutions.
Quality defects in TMT Bars, Possible causes and Potential Solutions.Quality defects in TMT Bars, Possible causes and Potential Solutions.
Quality defects in TMT Bars, Possible causes and Potential Solutions.PrashantGoswami42
 
A CASE STUDY ON ONLINE TICKET BOOKING SYSTEM PROJECT.pdf
A CASE STUDY ON ONLINE TICKET BOOKING SYSTEM PROJECT.pdfA CASE STUDY ON ONLINE TICKET BOOKING SYSTEM PROJECT.pdf
A CASE STUDY ON ONLINE TICKET BOOKING SYSTEM PROJECT.pdfKamal Acharya
 
KIT-601 Lecture Notes-UNIT-5.pdf Frame Works and Visualization
KIT-601 Lecture Notes-UNIT-5.pdf Frame Works and VisualizationKIT-601 Lecture Notes-UNIT-5.pdf Frame Works and Visualization
KIT-601 Lecture Notes-UNIT-5.pdf Frame Works and VisualizationDr. Radhey Shyam
 
ASME IX(9) 2007 Full Version .pdf
ASME IX(9)  2007 Full Version       .pdfASME IX(9)  2007 Full Version       .pdf
ASME IX(9) 2007 Full Version .pdfAhmedHussein950959
 
Democratizing Fuzzing at Scale by Abhishek Arya
Democratizing Fuzzing at Scale by Abhishek AryaDemocratizing Fuzzing at Scale by Abhishek Arya
Democratizing Fuzzing at Scale by Abhishek Aryaabh.arya
 
İTÜ CAD and Reverse Engineering Workshop
İTÜ CAD and Reverse Engineering WorkshopİTÜ CAD and Reverse Engineering Workshop
İTÜ CAD and Reverse Engineering WorkshopEmre Günaydın
 

Recently uploaded (20)

Pharmacy management system project report..pdf
Pharmacy management system project report..pdfPharmacy management system project report..pdf
Pharmacy management system project report..pdf
 
fluid mechanics gate notes . gate all pyqs answer
fluid mechanics gate notes . gate all pyqs answerfluid mechanics gate notes . gate all pyqs answer
fluid mechanics gate notes . gate all pyqs answer
 
Laundry management system project report.pdf
Laundry management system project report.pdfLaundry management system project report.pdf
Laundry management system project report.pdf
 
RESORT MANAGEMENT AND RESERVATION SYSTEM PROJECT REPORT.pdf
RESORT MANAGEMENT AND RESERVATION SYSTEM PROJECT REPORT.pdfRESORT MANAGEMENT AND RESERVATION SYSTEM PROJECT REPORT.pdf
RESORT MANAGEMENT AND RESERVATION SYSTEM PROJECT REPORT.pdf
 
Architectural Portfolio Sean Lockwood
Architectural Portfolio Sean LockwoodArchitectural Portfolio Sean Lockwood
Architectural Portfolio Sean Lockwood
 
Standard Reomte Control Interface - Neometrix
Standard Reomte Control Interface - NeometrixStandard Reomte Control Interface - Neometrix
Standard Reomte Control Interface - Neometrix
 
Halogenation process of chemical process industries
Halogenation process of chemical process industriesHalogenation process of chemical process industries
Halogenation process of chemical process industries
 
Automobile Management System Project Report.pdf
Automobile Management System Project Report.pdfAutomobile Management System Project Report.pdf
Automobile Management System Project Report.pdf
 
A case study of cinema management system project report..pdf
A case study of cinema management system project report..pdfA case study of cinema management system project report..pdf
A case study of cinema management system project report..pdf
 
KIT-601 Lecture Notes-UNIT-4.pdf Frequent Itemsets and Clustering
KIT-601 Lecture Notes-UNIT-4.pdf Frequent Itemsets and ClusteringKIT-601 Lecture Notes-UNIT-4.pdf Frequent Itemsets and Clustering
KIT-601 Lecture Notes-UNIT-4.pdf Frequent Itemsets and Clustering
 
Fruit shop management system project report.pdf
Fruit shop management system project report.pdfFruit shop management system project report.pdf
Fruit shop management system project report.pdf
 
IT-601 Lecture Notes-UNIT-2.pdf Data Analysis
IT-601 Lecture Notes-UNIT-2.pdf Data AnalysisIT-601 Lecture Notes-UNIT-2.pdf Data Analysis
IT-601 Lecture Notes-UNIT-2.pdf Data Analysis
 
Immunizing Image Classifiers Against Localized Adversary Attacks
Immunizing Image Classifiers Against Localized Adversary AttacksImmunizing Image Classifiers Against Localized Adversary Attacks
Immunizing Image Classifiers Against Localized Adversary Attacks
 
WATER CRISIS and its solutions-pptx 1234
WATER CRISIS and its solutions-pptx 1234WATER CRISIS and its solutions-pptx 1234
WATER CRISIS and its solutions-pptx 1234
 
Quality defects in TMT Bars, Possible causes and Potential Solutions.
Quality defects in TMT Bars, Possible causes and Potential Solutions.Quality defects in TMT Bars, Possible causes and Potential Solutions.
Quality defects in TMT Bars, Possible causes and Potential Solutions.
 
A CASE STUDY ON ONLINE TICKET BOOKING SYSTEM PROJECT.pdf
A CASE STUDY ON ONLINE TICKET BOOKING SYSTEM PROJECT.pdfA CASE STUDY ON ONLINE TICKET BOOKING SYSTEM PROJECT.pdf
A CASE STUDY ON ONLINE TICKET BOOKING SYSTEM PROJECT.pdf
 
KIT-601 Lecture Notes-UNIT-5.pdf Frame Works and Visualization
KIT-601 Lecture Notes-UNIT-5.pdf Frame Works and VisualizationKIT-601 Lecture Notes-UNIT-5.pdf Frame Works and Visualization
KIT-601 Lecture Notes-UNIT-5.pdf Frame Works and Visualization
 
ASME IX(9) 2007 Full Version .pdf
ASME IX(9)  2007 Full Version       .pdfASME IX(9)  2007 Full Version       .pdf
ASME IX(9) 2007 Full Version .pdf
 
Democratizing Fuzzing at Scale by Abhishek Arya
Democratizing Fuzzing at Scale by Abhishek AryaDemocratizing Fuzzing at Scale by Abhishek Arya
Democratizing Fuzzing at Scale by Abhishek Arya
 
İTÜ CAD and Reverse Engineering Workshop
İTÜ CAD and Reverse Engineering WorkshopİTÜ CAD and Reverse Engineering Workshop
İTÜ CAD and Reverse Engineering Workshop
 

Lecture note on column design

  • 1. Reinforced concrete column Prepared by: M.N.M Azeem Iqrah B.Sc.Eng (Hons), C&G (Gdip) Skills College of Technology
  • 2. Introduction to column • Columns act as vertical supports to beams and slabs, and to transmit the loads to the foundations. • Columns are primarily compression members, although they may also have to resist bending moment transmitted by beams. • Columns may be classified as short or slender, braced or unbraced depending on various dimensional and structural factors.
  • 3. Column sections • Common column cross sections are: (a) square, (b) circular and (c) rectangular section. • The greatest dimension should not exceed four times its smaller dimension. (h≤4b). • For h>4b, the member should be regarded as a wall for design purpose.
  • 4. Failure modes of columns • Columns may fail in one of three mechanisms: 1. Compression failure of the concrete or steel reinforcement; 2. Buckling 3. Combination of buckling and compression failure. • Compression failure is likely to occur with columns which are short and stocky. • Buckling is probable with columns which are long and slender.
  • 5. Failure modes of columns Compression failure Buckling
  • 6. Short and slender columns (Clause 3.8.1.3, BS 8110) • A braced column is classified as being short if :
  • 7. Braced and unbraced columns (clause 3.8.1.5, BS 8110) • A column may be considered braced in a given plane if lateral stability to the structure as a whole is provided by wall or bracing or buttressing designed to resist all lateral forces in that plane. It should otherwise be considered as unbraced.
  • 8. Braced and unbraced columns (clause 3.8.1.5, BS 8110)
  • 9. Braced and unbraced columns (clause 3.8.1.5, BS 8110)
  • 10. Effective height of column (clause 3.8.1.6, BS 8110) • The effective height, le of a column in a given plane may be obtained from the following equation: Where  is a coefficient depending on the fixity at the column ends and lo is the height of the columns. • Effective height for a column in two plane directions may be different.
  • 11. Effective height of column (clause 3.8.1.6, BS 8110) •  for braced column can be obtained from Table 3.19. • End condition 1 signifies that the column end is fully restrained. • End condition 2 signifies that the column end is partially restrained . • End condition 3 signifies that the column is nominally restrained.
  • 12. End conditions (clause 3.8.1.6.2, BS 8110) • End condition 1 – the end of the column is connected monolithically to beams on either side which are at least as deep as the overall dimension of the column in the plane considered. Where the column is connected to foundation, it should be designed to carry moment.
  • 13. • End condition 2 – the end of column is connected monolithically to beams or slabs on either side which are shallower than the overall dimension of the column in the plane considered. End conditions (clause 3.8.1.6.2, BS 8110)
  • 14. • End condition 3 – the end of the column is connected to members which, while not specifically designed to provide restraint to rotation of the column will nevertheless, provide some nominal restraint. End conditions (clause 3.8.1.6.2, BS 8110)
  • 15. Example 3.17 classification of column (Arya, 2009) • Determine if the column shown below is short.
  • 16. Example 3.17 classification of column (Arya, 2009)
  • 17. Short column design • The short column are divided into three categories: 1. Columns resisting axial load only, 2. Columns supporting an approximately symmetrical arrangement of beams, 3. Columns resisting axial loads and uniaxial or biaxial bending
  • 18. • B2 will resist an axial load only, as it supports beams equal in length and symmetrically arranged.
  • 19. • C2 supports a symmetrical arrangement of beams but which are unequal in length. If (a) the loadings on the beam are uniformly distributed, (2)the beam spans do not differ by more than 15 percent, the column C2 belongs to category 2. • If the column does not meet criteria (a) and (b), then the column belongs to category 3.
  • 20. Theoretical strength of reinforced concrete column The equation is derived on the assumption that the axial load is applied perfectly at the centre of the column.
  • 21. Clause 3.8.4.3 Nominal eccentricity of short columns resisting moments and axial force • Toallow for nominal eccentricity, BS 8110 reduce the theoretical axial load capacity by about 10%. • Design maximum axial load capacity of short column is:
  • 22. Clause 3.8.4.4 Short braced columns supporting an approximately symmetrical arrangement of beam • The column is subjected to axial and small moment when it supports approximately symmetrical arrangement of beams: • • The design axial load capacity:
  • 23. Column resisting an axial load and uniaxial bending • For column resisting axial load and bending moment at one direction, the area of longitudinal reinforcement is calculated using design charts in Part 3 BS 8110. • The design charts are available for columns having a rectangular cross section and symmetrical arrangement of reinforcement.
  • 24. Column resisting an axial load and uniaxial bending • Design charts are derived based on yield stress of 460 N/mm2 for reinforcement steel. They are applicable for reinforcement with yield stress of 500 N/mm2, but the area of reinforcement obtained will be approximately 10% greater than required. • Design charts are available for concrete grades – 25, 30, 35, 40, 45 and 50. • The d/h ratios are in the range of 0.75 to 0.95 in 0.05 increment.
  • 25. Design chart for column resisting an axial load and uniaxial bending moment, (Part 3, BS 8110)
  • 26. Column resisting an axial load and biaxial bending • The columns are subjected to an axial and bending moment in both x and y directions. • The columns with biaxial moments are simplified into the columns with uniaxial momentby increasing the moment about one of the axes then design the reinforcement according the increased moment.
  • 27. Column resisting an axial load and biaxial bending (clause 3.8.4.5, BS 8110)
  • 28. Reinforcement details: longitudinal reinforcement (clause 3.12.5, BS 8110) 1. Size and minimum number of bars – bar size should not be less than 12 mm in diameter. Rectangular column should reinforced with minimum 4 bars; circular column should reinforced with minimum 6 bars. 2. The area of longitudinal reinforcement should lie in the limits: 3. Spacing of reinforcement – the minimum distance between adjacent bars should not be less than the diameter of the bar or hagg + 5 mm.
  • 29. Reinforcement details – links (clause 3.12.7, BS 8110) • The axial loading on the column may cause buckling of the longitudinal reinforcement and subsequent cracking and spalling of concrete cover. • Links are passing round the bars to prevent buckling.
  • 30. Reinforcement details – links (clause 3.12.7, BS 8110) 1. Size and spacing of links – the diameter of the link should be at least one quarter of the largest longitudinal bar size or minimum 8 mm. The maximum spacing is 12 times of the smallest longitudinal bar. 2. Arrangement of links
  • 31. Example 3.20 axially loaded column (Arya, 2009) • Design the longitudinal and links for a 350mm square, short braced column based on following information.
  • 32. Example 3.20 axially loaded column (Arya, 2009)
  • 33. Example 3.21 Column supporting an approximately symmetrical arrangement of beam ( Arya, 2009) • An internal column in a braced two-storey building supporting an approximately symmetrical arrangement of beams (350mm wide x 600 mm deep) results in characteristic dead and imposed loads each of 1100 kN being applied to the column. The column is 350 mm square and has a clear height of 4.5 m. Design the longitudinal reinforcement and links.
  • 34. Example 3.21 Column supporting an approximately symmetrical arrangement of beam ( Arya, 2009)
  • 35. Example 3.21 Column supporting an approximately symmetrical arrangement of beam ( Arya, 2009)
  • 36. Example 3.21 Column supporting an approximately symmetrical arrangement of beam ( Arya, 2009) • Links • link = diameter of largest longitudinal bar/4 • = 32/4 = 8 mm (equal to minimum bar size of 8 mm) • The spacing of the links • = the lesser of (12 smallest longitudinal bar or the smallest cross sectional dimension of column) • = the lesser of (12x25 = 300 mm or 350 mm) • = 300 mm
  • 37. Example 3.22 Columns resisting an axial load and bending moment • Design the longitudinal and shear reinforcement for a 275 mm square, short braced column which supports either (a) An ultimate axial load of 1280 kN and a moment of 62.5 kNm about the x-x axis (b) An ultimate axial load of 1280 kN and bending moment of 35 kNm about the x-x axis and 25 kNm about the y-y axis
  • 38. Example 3.22 Columns resisting an axial load and bending moment
  • 39. Example 3.22 Columns resisting an axial load and bending moment
  • 40. Example 3.22 Columns resisting an axial load and bending moment
  • 41. Example 3.22 Columns resisting an axial load and bending moment
  • 42. Example 3.22 Columns resisting an axial load and bending moment