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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 396
STUDY ON COLD-FORMED STEEL HOLLOW SECTION COLUMNS
G.P. DHARANIDEVI1, R. RENUKA2, G. ARUNA3
1PG Student, Structural Engineering, Sona College of Technology, Salem
2 Assistant Professor, Department of Civil Engineering, Sona College of Technology, Salem
3Associate Professor, Department of Civil Engineering, CMR Institute of Technology, Hyderabad
---------------------------------------------------------------------***----------------------------------------------------------------------
Abstract - Steel hollow members have long been used by
architects and engineers because of their various advantages
over open sections such as high torsional rigidity, low drag
coefficient, reduced protection requirement, usable internal
space, inherent aesthetic appearanceetc. Becauseoftheirhigh
torsional rigidity, steel tubular members are particularly
suitable to be used as efficient torsional members. The aim of
this paper is to understand the strength and behavior of cold-
formed steel hollow sections. Using various code books
comparison were made for design strength calculation. The
review of experimental, numerical, theoretical investigations
on hollow sections were presented.
Key Words: Cold-formed steel, hollow section, column,
experimental investigation, numerical analysis.
1. INTRODUCTION
Structural hollow sections are widely used in a range of
engineering applications, offering structural efficiency,
aesthetic solutions and the possibility of being concrete-
filled to achieve greater load-carrying capacity. Hollow
sections are used in construction industries are
manufactured commonly either by hot-rolling or cold-
forming. Cold-formed steel sections are widely used as
primary load bearing structural components. Typical steel
sections, such as the I-section, channel section, circular
hollow section (CHS), square hollow section (SHS),
rectangular hollow section (RHS), and so on are used in
various structures. However, the industry continually
develops new sections with requirementsforbothefficiency
and aesthetics.
2. REVIEW OF HOLLOW SECTIONS
Chen and Young (2019) investigated the structural
performance of cold-formed steel elliptical hollow section
pin-ended columns buckled about the minor axis. In this
twenty-two column tests were conducted between pinned
ends with the specimen lengths varying from 200mm to
1500mm. The results obtained from test program were
employed in validation of finite element (FE) model. An
extensive parametric study comprising 280 finite element
analyses was performed based on the verified model.
Experimental and numerical results were compared with
predicted strengths by equivalent diameter method,
equivalent rectangular hollow section (RHS) as well as with
Fig:1 Comparison between experimental and numerical
failure modes for EHS column specimen 140x80x3-CL850.
the Direct Strength Method (DSM). Modification on DSM is
proposed. Result shows that the Direct Strength Method
offers the most accurate and the least scattered design
strength.
Roy et al. (2019) performed experimental and numerical
investigation on the behaviour of face-to-face built-up cold-
formed steel channel sections under compression. The
length of the specimen covering a wide range of slenderness
from stub to slender columns. Both finite element and
experimental results were compared against the design
strengths calculated in accordance with the American Iron
and Steel Institute (AISI), Australian and New Zealand
Standards (AS/NZS) and Eurocode (EN 1993-1-3). It is
observed that the design in accordance with the AISI &
AS/NZS and Eurocode is generally conservative by around
15%, however, AISI & AS/NZS and Eurocode can be un-
conservative by 8% on average for face-to-face built-up
columns failed through local buckling.
Man-Tai Chen, Ben Young (2019) presented the
investigation on material properties andstructural behavior
of cold-formed steel elliptical hollow section stub columns.
Material properties and initial local imperfections for each
cross-section series were measured and the stub column
tests were conducted between fixed ends. A finite element
model was developed and verified against test results, with
which an extensive parametric study also carried out. The
strength obtained from experimental and numerical
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 397
investigations were compared with design strengths
predicted by equivalent diameter method and equivalent
rectangular hollow section approach, as well as the Direct
Strength Method and the Continuous Strength Method. The
comparisons generally shows that equivalent diameter
method, equivalentrectangularhollowsectionapproachand
existing traditional design rules with equivalent diameter
provide very conservative whereas predictions by existing
Continuous Strength Method are less scattered and are
generally in good agreement with experimental and
numerical results. The strength predicted byDirectStrength
Method also conservative.
Chen and Young (2018) conducted the test on 19 columns
under pinned end conditions. The length of test specimens
designed to vary from 200 mm to 1500mm. A non-linear
Fig:2 Cross-section geometry of SOHS.
finite element (FE) model was developed and validated
against test results. An extensive parametric study
comprising 200 column specimenswereperformedbasedon
the validated FE procedure. The comparison results show
that existing Direct Strength Method generally provides
conservative predictions, but predictions are scattered for
slender sections. The modified Direct Strength method is
suitable for cold-formed steel semi-oval hollow section
columns (SOHS), especially for short column members and
columns with slender sections.
Jia-Hui Zhang, Ben Young (2018) conducted numerical
investigation and design of cold-formed steel built-up closed
section columns with web stiffeners under fixed-ended
conditions. The geometric imperfections and nonlinear
material properties were considered in the finite element
analysis. Totally 252 specimens were analyzed in the
parametric study. The results obtained from the FEA shows
that sections with deeper inward web stiffeners and
moderate outward web stiffeners performed better than
other sections. It also shownthatthemodifieddirectstrength
method is generally conservative and reliable.
Poomari and Manu (2018) performed experimental
investigation on the effect of axial loadingonlightgaugesteel
fluted column. The test was conducted on hollow circular
Fig:3 Experimental setup for the trapezoidal fluted column.
fluted columns with modification in the number of flutes
(trapezoidal shape). Different sections like four, five and six
numbers of trapezoidal fluted column sections was studied
by finite element analysis software. The trapezoidal fluted
column with 6 flutes have more load bearing capacity with
lesser value in axial deformation when compared to the
hollow circular column without trapezoidal flutes.
Aizhu Zhu , Yong Lu (2016) conducted experimental study
and analysis of inner-stiffened cold-formed SHS steel stub
columns. Four different inner-stiffener arrangements were
Fig:4 Cross-section geometry of Unstiffened and Stiffened
sections
considered. A finite element model was developed and
employed to providea numerical perspectiveofthebehavior
of the SHS column. Two codified methods for the calculation
of the strength of cold-formed thin-walled sections, namely
the AISI and GB methods were examined and discussed by
comparing the predictions with the corresponding
experimental results.
Morgan and vongani (2014) carried out investigation on
cold-formed circular hollow sections under axial
compression. Two series of experiments with pinned-ended
conditions were carried out. A total of 30 columns were
tested in that 20 columns in Series 1 and 10 columns in
Series 2. The outside diameter-to-thickness ratio (d/t) and
the slenderness ratio (KL/r) ranged from 29.7 to 46.4 and
20.8 to 82.2 for Series 1 and from 55.0 to 62.9 and 10.7 to
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 398
34.9 for Series 2. In general, Series 1 columns failed by
overall flexural buckling and Series 2 columns failed bylocal
Fig-5: Local ring type and flexural buckling of circular
column.
ring-type buckling. The test strengths of the columns were
compared with the strengths predicted by the South African
and the European design standards.
Zhu and Young (2011) performed investigation on cold-
formed steel oval hollow sections (OHS) under Axial
Fig-6:Cross-section geometry of OHS
Compression. The total of 28 column specimens were
separated into four series of different cross-sectional
dimensions under fixed ended condition. The test strengths
were compared with the design strengths using North
American (AISI), Australia/New Zealand (AS/NZS) and
European specifications for cold-formed steel structures. It
can be seen that the design strengths predicted by AISI and
AS/NZS specifications are identical and generally
conservative, and the predictions by European code design
strengths are more conservative.
Yuanqi et al. (2010) studied the load-carrying capacity of
cold-formed thin-walled steel columns with built-up box
section. A series of tests including 21 axially-compressed
columns and19eccentrically-compressedcolumnssubjected
to bending moments about weak axis as well as strong axis
were carried out. The test specimens were built up by two
channel sections with two intermediatestiffenersintheweb,
and they connect at their flanges using self-drilling screws.
From the results itisobservedthattheultimateload-carrying
capacity of built-up section is 10 to 20 percent higher than
sum of the ultimate load-carrying capacity of each lipped
channel section columns.
Whittle and Ramseyer (2009) investigated buckling
capacities of axiallyloaded cold-formed built-up C-Channels.
The compression test of around 150 specimens were
experimentally determined and compared to theoretical
buckling capacities based on the modified and unmodified
slendernessratio.Built-upmemberdesignisaddressedinthe
American Iron and Steel Institute (AISI). It wasobservedthat
use of modified slendernessratiowasconservativeforlonger
built-up members and thicker built-up sections. Capacities
based on unmodified slenderness ratio and fastener and
spacing provisions were consistently conservative. The axial
capacitiesdeterminedusingtheunmodifiedslendernessratio
are on average 12% less conservative than modified
slenderness ratio for all built-up members.
3. CONCLUSION
From the study, it was observed that most oftheresearchers
investigated about the strength and behaviorofcold-formed
steel hollow columns under compression. The column
strengths, failure modes, deformed shapes at failure, load
lateral displacement andload-axial strainrelationshipswere
predicted from the finite element analysis were compared
with the test results. It is shown that the finite element
results correlated well with the test results. Use of Direct
Strength Method (DSM) offers most accurate and least
scattered design strength. It can be seen that the design
strengths predicted by AISI and AS/NZS specifications are
identical and generally conservative, and the predictions by
European code design strengths are more conservative.
REFERENCES
[1] Aizhu Zhu , Yong Lu (2016), ‘Experimental study and
analysis of inner-stiffened cold-formed SHS steel stub
columns’, Thin-Walled Structures, Vol.107 PP 28–38.
[2] Jia-Hui Zhang, Ben Young (2018), ‘Finite element
analysis and design of cold-formed steel built-up closed
section columns with web stiffeners’, Thin-Walled
Structures, Vol.131 PP 223–237.
[3] Ji-Hua Zhu and Ben Young (2011), ‘Cold-Formed-Steel
Oval Hollow Sections (OHS) under Axial Compression’,
Journal of Structural Engineering, Vol. 137 PP 719–727.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 399
[4] Man-Tai Chen, Ben Young (2018), ‘Experimental and
numerical investigation on cold-formed steel semi-oval
hollow section compression members’, Journal of
Constructional Steel Research, Vol.151 PP 174–184.
[5] Man-Tai Chen, Ben Young (2019), ‘Material properties
and structural behavior of cold-formed steel elliptical
hollow section stub columns’, Thin-Walled Structures,
Vol.134 PP 111–126.
[6] Man-Tai Chen, Ben Young (2019), ‘Structural
performance of cold-formed steel elliptical hollow
section pin ended columns’, Thin-Walled Structures,
Vol.136 PP 267–279.
[7] Morgan DUNDUandVongani CHABALALA(2014),‘Cold-
formed circular hollow sections under axial
compression’, ConstructionMaterialsandStructures,PP
1148-1154.
[8] Poomari D and Manu S.S (2018), ‘Experimental Studyon
the Effect of Axial Loading on Light Gauge Steel Fluted
Column’, Volume: 05 Issue: 05 May.
[9] Roy, Ting (2019), ‘Experimental and numerical
investigations on the axial capacity of cold-formed steel
built-up box sections’, Journal of Constructional Steel
Research, Vol.160 PP 411–427.
[10] Whittle and Ramseyer (2009), ‘Buckling capacities of
axially loaded, cold-formed, built-up C-channels’, Thin-
Walled Structures, Vol.47 PP 190–201.
[11] Yuanqi LI, Xingyou YAO (2010), ‘Load-carrying capacity
estimation on cold-formed thin-walled steel columns
with built-up box section’.

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IRJET- Study on Cold-Formed Steel Hollow Section Columns

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 396 STUDY ON COLD-FORMED STEEL HOLLOW SECTION COLUMNS G.P. DHARANIDEVI1, R. RENUKA2, G. ARUNA3 1PG Student, Structural Engineering, Sona College of Technology, Salem 2 Assistant Professor, Department of Civil Engineering, Sona College of Technology, Salem 3Associate Professor, Department of Civil Engineering, CMR Institute of Technology, Hyderabad ---------------------------------------------------------------------***---------------------------------------------------------------------- Abstract - Steel hollow members have long been used by architects and engineers because of their various advantages over open sections such as high torsional rigidity, low drag coefficient, reduced protection requirement, usable internal space, inherent aesthetic appearanceetc. Becauseoftheirhigh torsional rigidity, steel tubular members are particularly suitable to be used as efficient torsional members. The aim of this paper is to understand the strength and behavior of cold- formed steel hollow sections. Using various code books comparison were made for design strength calculation. The review of experimental, numerical, theoretical investigations on hollow sections were presented. Key Words: Cold-formed steel, hollow section, column, experimental investigation, numerical analysis. 1. INTRODUCTION Structural hollow sections are widely used in a range of engineering applications, offering structural efficiency, aesthetic solutions and the possibility of being concrete- filled to achieve greater load-carrying capacity. Hollow sections are used in construction industries are manufactured commonly either by hot-rolling or cold- forming. Cold-formed steel sections are widely used as primary load bearing structural components. Typical steel sections, such as the I-section, channel section, circular hollow section (CHS), square hollow section (SHS), rectangular hollow section (RHS), and so on are used in various structures. However, the industry continually develops new sections with requirementsforbothefficiency and aesthetics. 2. REVIEW OF HOLLOW SECTIONS Chen and Young (2019) investigated the structural performance of cold-formed steel elliptical hollow section pin-ended columns buckled about the minor axis. In this twenty-two column tests were conducted between pinned ends with the specimen lengths varying from 200mm to 1500mm. The results obtained from test program were employed in validation of finite element (FE) model. An extensive parametric study comprising 280 finite element analyses was performed based on the verified model. Experimental and numerical results were compared with predicted strengths by equivalent diameter method, equivalent rectangular hollow section (RHS) as well as with Fig:1 Comparison between experimental and numerical failure modes for EHS column specimen 140x80x3-CL850. the Direct Strength Method (DSM). Modification on DSM is proposed. Result shows that the Direct Strength Method offers the most accurate and the least scattered design strength. Roy et al. (2019) performed experimental and numerical investigation on the behaviour of face-to-face built-up cold- formed steel channel sections under compression. The length of the specimen covering a wide range of slenderness from stub to slender columns. Both finite element and experimental results were compared against the design strengths calculated in accordance with the American Iron and Steel Institute (AISI), Australian and New Zealand Standards (AS/NZS) and Eurocode (EN 1993-1-3). It is observed that the design in accordance with the AISI & AS/NZS and Eurocode is generally conservative by around 15%, however, AISI & AS/NZS and Eurocode can be un- conservative by 8% on average for face-to-face built-up columns failed through local buckling. Man-Tai Chen, Ben Young (2019) presented the investigation on material properties andstructural behavior of cold-formed steel elliptical hollow section stub columns. Material properties and initial local imperfections for each cross-section series were measured and the stub column tests were conducted between fixed ends. A finite element model was developed and verified against test results, with which an extensive parametric study also carried out. The strength obtained from experimental and numerical
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 397 investigations were compared with design strengths predicted by equivalent diameter method and equivalent rectangular hollow section approach, as well as the Direct Strength Method and the Continuous Strength Method. The comparisons generally shows that equivalent diameter method, equivalentrectangularhollowsectionapproachand existing traditional design rules with equivalent diameter provide very conservative whereas predictions by existing Continuous Strength Method are less scattered and are generally in good agreement with experimental and numerical results. The strength predicted byDirectStrength Method also conservative. Chen and Young (2018) conducted the test on 19 columns under pinned end conditions. The length of test specimens designed to vary from 200 mm to 1500mm. A non-linear Fig:2 Cross-section geometry of SOHS. finite element (FE) model was developed and validated against test results. An extensive parametric study comprising 200 column specimenswereperformedbasedon the validated FE procedure. The comparison results show that existing Direct Strength Method generally provides conservative predictions, but predictions are scattered for slender sections. The modified Direct Strength method is suitable for cold-formed steel semi-oval hollow section columns (SOHS), especially for short column members and columns with slender sections. Jia-Hui Zhang, Ben Young (2018) conducted numerical investigation and design of cold-formed steel built-up closed section columns with web stiffeners under fixed-ended conditions. The geometric imperfections and nonlinear material properties were considered in the finite element analysis. Totally 252 specimens were analyzed in the parametric study. The results obtained from the FEA shows that sections with deeper inward web stiffeners and moderate outward web stiffeners performed better than other sections. It also shownthatthemodifieddirectstrength method is generally conservative and reliable. Poomari and Manu (2018) performed experimental investigation on the effect of axial loadingonlightgaugesteel fluted column. The test was conducted on hollow circular Fig:3 Experimental setup for the trapezoidal fluted column. fluted columns with modification in the number of flutes (trapezoidal shape). Different sections like four, five and six numbers of trapezoidal fluted column sections was studied by finite element analysis software. The trapezoidal fluted column with 6 flutes have more load bearing capacity with lesser value in axial deformation when compared to the hollow circular column without trapezoidal flutes. Aizhu Zhu , Yong Lu (2016) conducted experimental study and analysis of inner-stiffened cold-formed SHS steel stub columns. Four different inner-stiffener arrangements were Fig:4 Cross-section geometry of Unstiffened and Stiffened sections considered. A finite element model was developed and employed to providea numerical perspectiveofthebehavior of the SHS column. Two codified methods for the calculation of the strength of cold-formed thin-walled sections, namely the AISI and GB methods were examined and discussed by comparing the predictions with the corresponding experimental results. Morgan and vongani (2014) carried out investigation on cold-formed circular hollow sections under axial compression. Two series of experiments with pinned-ended conditions were carried out. A total of 30 columns were tested in that 20 columns in Series 1 and 10 columns in Series 2. The outside diameter-to-thickness ratio (d/t) and the slenderness ratio (KL/r) ranged from 29.7 to 46.4 and 20.8 to 82.2 for Series 1 and from 55.0 to 62.9 and 10.7 to
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 398 34.9 for Series 2. In general, Series 1 columns failed by overall flexural buckling and Series 2 columns failed bylocal Fig-5: Local ring type and flexural buckling of circular column. ring-type buckling. The test strengths of the columns were compared with the strengths predicted by the South African and the European design standards. Zhu and Young (2011) performed investigation on cold- formed steel oval hollow sections (OHS) under Axial Fig-6:Cross-section geometry of OHS Compression. The total of 28 column specimens were separated into four series of different cross-sectional dimensions under fixed ended condition. The test strengths were compared with the design strengths using North American (AISI), Australia/New Zealand (AS/NZS) and European specifications for cold-formed steel structures. It can be seen that the design strengths predicted by AISI and AS/NZS specifications are identical and generally conservative, and the predictions by European code design strengths are more conservative. Yuanqi et al. (2010) studied the load-carrying capacity of cold-formed thin-walled steel columns with built-up box section. A series of tests including 21 axially-compressed columns and19eccentrically-compressedcolumnssubjected to bending moments about weak axis as well as strong axis were carried out. The test specimens were built up by two channel sections with two intermediatestiffenersintheweb, and they connect at their flanges using self-drilling screws. From the results itisobservedthattheultimateload-carrying capacity of built-up section is 10 to 20 percent higher than sum of the ultimate load-carrying capacity of each lipped channel section columns. Whittle and Ramseyer (2009) investigated buckling capacities of axiallyloaded cold-formed built-up C-Channels. The compression test of around 150 specimens were experimentally determined and compared to theoretical buckling capacities based on the modified and unmodified slendernessratio.Built-upmemberdesignisaddressedinthe American Iron and Steel Institute (AISI). It wasobservedthat use of modified slendernessratiowasconservativeforlonger built-up members and thicker built-up sections. Capacities based on unmodified slenderness ratio and fastener and spacing provisions were consistently conservative. The axial capacitiesdeterminedusingtheunmodifiedslendernessratio are on average 12% less conservative than modified slenderness ratio for all built-up members. 3. CONCLUSION From the study, it was observed that most oftheresearchers investigated about the strength and behaviorofcold-formed steel hollow columns under compression. The column strengths, failure modes, deformed shapes at failure, load lateral displacement andload-axial strainrelationshipswere predicted from the finite element analysis were compared with the test results. It is shown that the finite element results correlated well with the test results. Use of Direct Strength Method (DSM) offers most accurate and least scattered design strength. It can be seen that the design strengths predicted by AISI and AS/NZS specifications are identical and generally conservative, and the predictions by European code design strengths are more conservative. REFERENCES [1] Aizhu Zhu , Yong Lu (2016), ‘Experimental study and analysis of inner-stiffened cold-formed SHS steel stub columns’, Thin-Walled Structures, Vol.107 PP 28–38. [2] Jia-Hui Zhang, Ben Young (2018), ‘Finite element analysis and design of cold-formed steel built-up closed section columns with web stiffeners’, Thin-Walled Structures, Vol.131 PP 223–237. [3] Ji-Hua Zhu and Ben Young (2011), ‘Cold-Formed-Steel Oval Hollow Sections (OHS) under Axial Compression’, Journal of Structural Engineering, Vol. 137 PP 719–727.
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 399 [4] Man-Tai Chen, Ben Young (2018), ‘Experimental and numerical investigation on cold-formed steel semi-oval hollow section compression members’, Journal of Constructional Steel Research, Vol.151 PP 174–184. [5] Man-Tai Chen, Ben Young (2019), ‘Material properties and structural behavior of cold-formed steel elliptical hollow section stub columns’, Thin-Walled Structures, Vol.134 PP 111–126. [6] Man-Tai Chen, Ben Young (2019), ‘Structural performance of cold-formed steel elliptical hollow section pin ended columns’, Thin-Walled Structures, Vol.136 PP 267–279. [7] Morgan DUNDUandVongani CHABALALA(2014),‘Cold- formed circular hollow sections under axial compression’, ConstructionMaterialsandStructures,PP 1148-1154. [8] Poomari D and Manu S.S (2018), ‘Experimental Studyon the Effect of Axial Loading on Light Gauge Steel Fluted Column’, Volume: 05 Issue: 05 May. [9] Roy, Ting (2019), ‘Experimental and numerical investigations on the axial capacity of cold-formed steel built-up box sections’, Journal of Constructional Steel Research, Vol.160 PP 411–427. [10] Whittle and Ramseyer (2009), ‘Buckling capacities of axially loaded, cold-formed, built-up C-channels’, Thin- Walled Structures, Vol.47 PP 190–201. [11] Yuanqi LI, Xingyou YAO (2010), ‘Load-carrying capacity estimation on cold-formed thin-walled steel columns with built-up box section’.