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International Journal of Scientific Research and Engineering Development—Volume2 Issue 2, Mar –Apr 2019
Available at www.ijsred.com
ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 306
Experimental and Analysis Of Cold Formed Steel Channel Section
E.Dayana.
PG Scholar, M.E-Structural Engineering, Department of Civil Engineering, Star Lion College Of Engineering And Technology,
Manankorai, Thanjavur, Tamilnadu-614206.
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ABSTRACT
The comparison of cold formed steel section and hot rolled steel section of equal cross sectional area
is done in this project. Sections were experimentally tested under axial, biaxial and eccentric compression in
universal testing machine. Simultaneously, ultimate compressive strength of cold formed members and hot
rolled members has been investigated. Also, different properties of the sections are obtained experimentally.
The validation of results is done by preparing finite element model in “ABAQUS 6.11” SOFTWARE under
point loading with fixed end condition.
Key word: cold formed steel, axial, biaxial, finite element model, under point loading and
fixed end condition.
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1. INTRODUCTION
1.1 GENERAL
Light gauge steel evolved as a building
material in the 1930’s and reached large scale
usage only after the Second World War. In
comparison with conventional steel construction,
where standard hot-rolled shapes are used, the
cold-formed Light gauge steel structures are
relatively new development.
Light gauge steel sections are cold-
formed in rolls by rolling the material in cold
condition or by bending the steel sheets or strips in
press brakes, cold rolling being used for mass
production while press brakes are used for
economical production of small quantities of
special shapes. These are used widely in structures
subjected to light or moderate loads or for the
members of short span length. For such structures
the use of hot- rolled shapes is often uneconomical
and the stresses developed in the smallest available
shape may be very low. Earlier, use of light gauge
steel was limited to building construction only but
now it finds application in trucks and trailer
bodies, rail coaches, etc., Light gauge members are
connected by spot welds or by screws, rivets, bolts,
etc.
Shapes which can be cold –formed are
many and varied. Generally, the shape varies with
its application. Engineers have learned to adopt
this versatility to advantage in design of
compression members, studs, joists, beams, roof,
panels and other industrial structural members .In
the design of structural sections for framing
members the main aim is to develop shapes which
combine economy of material with versatility ,ease
of mass production, and provision for effective and
simple connection to other structural members or
to non-structural materials or both of them.
RESEARCH ARTICLE OPEN ACCESS
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The usual shapes of framing members are
channels, zees, hat sections, tees, I sections and
tubular sections as in fig. These sections 50 to 300
mm in depth can carry substantial loads and are
used as primary framing members in residential,
commercial and industrial buildings up to two
stories in height and roof trusses up to 15 m span.
Figure1. Light gauge shapes for structural framing
1.2 Hot rolled Vs cold formed members
Cold – formed steel members can be easily
shaped and sized to meet any particular design
requirements.
Cold- formed steel members are lighter
compared to hot rolled members.
Cold- formed steel beams are more economical
compared to hot rolled steel beams for low rise
buildings when the beam spans are not long and to
any shapes compared to light gauge members.
Cold formed light gauge steel members can be
manufactured for light loads and short spans
1.3 APPLICATIONS OF COLD FORM
MEMBERS
Agriculture
Mining
Aircraft Industry
Nuclear Industries
Railway
Bridges
Storage Racks
Car bodies
1.4 ADVANTAGES OF COLD-FORMED
STEEL
Cold forming has the effect of increasing
the yield strength of steel, the increase being the
consequence of cold working in to strain hardening
range. These 1increases are predominant in zones
where the metal is bent by folding .The effect of
cold working is thus to enhance the main yield
stress by 15%-30%. For purpose of design, the
yield stress may be regarded as having been
enhanced by a minimum of 15%. Generally, cold
formed steel sections have several advantages over
hot rolled sections and timber trusses .The main
advantages are listed as follows.
a) Consistency and accuracy of profile
The nature of manufacturing process of
cold rolling includes includes the ability of desired
profile to be maintained and repeated for as long as
required with minimum tolerances. Cross sectional
shapes are formed to close tolerances and these can
be consistently repeated for as long as required.
The consistency and accuracy and accuracy of
profile can be achieved by the use of computer
control system. The quality of the section can be
efficiently controlled in the factory, and does not
depend on environmental factor as in the case of
timber.
b) Versatility of profile shape
Cold rolling can be employed to produce
almost any desired shape to any desired length.
Almost any desired section such as T-section, Z-
section, hat section, the size, length, shape, and
thickness can be produced by cold rolling.
c) Corrosion Resistance by Pre-galvanisation or
Pre-coating
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The steel material may be pre-galvanized or
pre-coated with materials such as zinc hi-ten to
enhance its corrosion resistance and attractive
surface finish. This coating gives the truss an
attractive silver finish and avoids the messy
requirement of painting on frames on site.
d)Variety of connection and jointing methods
All conventional methods of connecting
components such as riveting, bolting, welding,
screwing, and adhesives materials are suitable for
cold formed section. A pointed long screw about
10 mm long and 5 mm in diameter was used in the
study since it is the fastest and easiest way
available in the local market.
e) Speed in construction and easy to erect
Generally, steel construction has eliminated
the curing time which is inevitable in concrete
construction. The use of cold-formed steel section
has a better advantage than hot rolled steel since
they can be cut easily and erected with very light
machine and need less workers
f) Increase in Yield strength Due to cold
forming
The cold forming process introduces local
work hardening in the strip being formed in the
vicinity of the formed corners. This local work
hardening may result in an increment of ultimate
yield strength of about 25% from its expected
design strength.
g )Minimum use of material
Since the material can be very thin in
comparison with the lower thickness limit of hot
rolled sections, it therefore allows the usage of
material for the given strength or stiffness
requirement to much less than that of hot rolled
sections. The material thickness , or even the cross-
sectional geometrices, could be controlled to
achieve the structural features with the minimum
material weight.
h) Lower in production cost and higher in profit
In cold rolled process the manufacturing
costs involve the purchasing of the rolling machine
and the steel strip coils. The cost of the machine
can be easily recovered in the continous mass
production of the section. The cold formed steel
roof truss system, which is great demand and not
enough supply locally can be considered as having
a good potential as construction material.
1.5 VARIETIES OF COLD-FORMED
SHAPES
The built-up members are formed by
connecting two or more cold-formed steel
members together, such as I section Member built
up by connecting two channel sections back to-
back. These structural shapes can be used in
buildings as eave struts, purling, grits, studs,
headers, floor joists, braces and other building
Components. Various shapes are also available for
wall, floor, and roof diaphragms and coverings.
Open sections, closed sections and built-up
sections. C, Z, double channel I sections, hat, and
angle sections are open sections while box sections
and pipes are closed sections .
Fig 2. Varieties of Cold formed shapes
1.6 TYPES OF ELEMENTS
Cold formed steel elements are either stiffened
or unstiffened.
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Stiffened compression element is a flat
compression element of which both edges parallel
to the direction of stress are stiffened.
An unstiffened element is a flat compression
element stiffened at only one edge parallel to the
direction of of stress.
When an element is stiffened web,or between a
web and an edge ,by providing intermediate
stiffeners parallel to the direction of stress ,then the
element is considered as multiple stiffened
elements.
1.7 OBJECTIVES OF THE WORK
To study the behaviour of cold-formed steel
plain channel sections as short and intermediate
columns under fixed end condition subjected to
axial and eccentric loading.
To study the load versus axial shortening
behaviour, the effect of change in flat width to
thickness ratio and the slenderness ratio on the load
carrying capacity, and their initial stiffness
characteristics.
To develop a non-linear finite element
model incorporating the geometrical imperfections
for predicting the ultimate load carrying capacity.
To study the effect of eccentrically applied
loads on the load carrying capacity.
To compare the experimental, analytical
load carrying capacity of the short and
intermediate channel columns and also their
stiffness characteristics.
To study the possible modes of failure of
the members under static loading by performing
non –linear analysis using ABAQUS 6.11 software
To study the possible modes of failure of
the members under static loading.
1.8 SCOPE
To study the behaviour of plain channel cold
formed steel section under axial and eccentric
loading. There is a need for brief investigation to
understand their stress strain behaviour, load
deflection behaviour under static loading. Four
specimens with different geometric properties have
been analysed using “ABAQUS 6.11”
SOFTWARE under point loading with fixed end
condition.
2. NUMERICAL INVESTIGATION
2.1 GENERAL
An experimental investigation can be
supplemented with a numerical method of predicting
the behaviour with in the acceptable accuracy limit.
There are many practical engineering problems for
which one cannot obtain exact solutions. This
inability to obtain exact solution may be attributed to
either the complex nature of governing differential
equations or the difficulties that arise from dealing
with the complicated boundary conditions. The Finite
Element Method (FEM) is a numerical technique to
obtain approximate solutions to a wide variety of
engineering problems where the variable are related
by means of algebraic , differential and integral
equation. Finite Element Analysis converts the
physical structure to a complex system of points
called nodes which make a grid called a mesh. This
mesh is programmed to contain the material and
structural properties which define how the structure
will react to certain loading conditions. It has
capability of both linear and non-linear analysis .
Linear models use simple parameters and assume
that the material is not plastically deformed. Non-
linear models include of stressing of the material past
its elastic limits.
The finite element method is a numerical
analysis technique for obtaining approximate
solutions to wide variety of Engineering problems.
Most of the engineering problems today make it
necessary to obtain approximate numerical
solutions to problems rather than exact closed form
solutions. The basic concept behind the finite
element analysis is that structure is divided into a
finite number of elements having finite dimensions
and reducing the structure having infinite degrees
of freedom to finite degrees of freedom. Then
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original structure is assemblage of these elements
connected at a finite number of joints called Nodal
points (Nodes). For the finite element analysis
advanced software ABAQUS 6.11 was used.
2.2 PROCEDURE OF ABAQUS
In all Finite Element Analysis,
engineering problem can be solved in many steps. In
the Finite Element Analysis Software ABAQUS
6.11, problems are solved in three phases such as
1. Pre processing
2. Solution
3. Post processing
2.3 Modelling
The modelling is done by using ABAQUS
6.11. The connectivity between the web and the
flange is done by welding process. The dimension of
the channel sections are 100mmx50mmx2mm and
90mmx50mmx2mm, each has a length of 700mm.
2.3.1 Material Properties
The value of Young’s modulus as
1.86x105
N/mm2
, Poisson’s ratio is 0.3. The Yield
stress is 186 N/mm2
.
2.3.2 Element type
If the section thickness is less than one
tenth of an elemental dimensions, then the section is
modeled as shell elements. Since the cross-section
considered for the study had thickness much less than
the least dimension in any direction, a shell element
was chosen for analysis. The software chosen for
numerical investigation was ABAQUS. ABAQUS
shell element library provides numerous types of
shell elements that allow modeling of curved surface,
intersection of shells and non-linear material
response. These shell elements are divided into three
categories consisting of general-purpose, thin, and
thick shell elements. The modeling pattern for the
shell S4R is shown in fig 3.1.
Fig 3. Modeling pattern of shell C4R
For performing static analysis, general-
purpose shell elements were appropriate and 4-noded
shell elements were adopted for most of FE models.
S4R a 4-noded doubly curved general-purpose shell,
element with reduced integration hourglass control
and with finite membrane strains was used.
Higher resolution of the transverse shear
was obtained by stacking continuum shell elements.
C3D8R, a solid element was used to model the end
plates which were used to transfer the load to the
load to the channel column section. This element was
defined by an 8-noded linear brick, with reduced
integration and hourglass control. Figure 3.2 shows
the element characteristics of SOLID C3D8R.
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Fig 4. Element characteristic of solid
C3D8R element
A detailed parametric study was conducted
taking into account two different webs of depth 100
and 90 mm respectively and plate thickness of 2 mm
each with flange width of 40 mm for all variations.
2.3.3 Meshing
Element aspect ratios were 1-2 range as it
was found to give better results based on the results
obtained by earlier researchers. Analysis with a high
mesh density usually increases the accuracy of the
results obtained at the expense of computational
time, while analysis using low mesh density though
takes less time can lead to serious errors. Therefore
the element meshes are usually refined until an
acceptable converged solution is obtained. The
refined finite element mesh chosen was arrived at
after conducting a series of studies to satisfy the
convergence criteria. Element meshes were refined
until the acceptable converged solution was obtained.
2.3.4 Displacement constraints
Both the ends of the specimen were assigned
to be fixed ends using Displacement/Rotation option
in which the loaded end is given
as(u1=u2=ur1=ur2=ur3=0) and the other end
(u1=u2=u3=ur1=ur2=ur3=0).
2.3.5 Load Application
Loads can be applied to the finite element
model in various forms such as applying loads to
the key points, lines, areas, elements and at the
nodes. For our problem the analysis is carried out
for a concentrated loading on the column at axial
and eccentricity.
2.3.6 Geometric imperfection
While obtaining buckling deformation during
nonlinear analysis, the column was assumed to have
initial geometric imperfections. This was achieved by
modeling the structure with an initial out-of plane
deflection. Precise data of the distribution of
geometric imperfections was obtained for all the
experimental specimens. The scaled value of linear
buckling mode shape was used to create an initial
imperfection for the nonlinear post buckling analysis.
The degree of imperfection was assumed as the
maximum amplitude of the buckling mode shape and
considered as a percentage of element thickness.
Geometric imperfections were considered as a
maximum local imperfection in the stiffened element
and maximum deviation from straightness in
unstiffened element. Pekoz and Schafer (1996)
suggested expression for average degree of
imperfection for the cold-formed steel members was
between 0.14t and 0.66 t, where t is the thickness of
sheet steel. Hence, in this study, the results based on
the expression suggested by Pekoz were used. The
local buckling imperfection amplitude of 0.2t to 0.5t
and the overall imperfection amplitude of L/200 to L/
1000 were used for eccentrically loaded and for the
axially loaded and for the axially loaded channels
respectively.
2.3.7 Solution
In this stage problem is subjected to static
linear analysis. The errors and warnings are
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identified at this stage. After nullifying those errors
the solution process gets completed.
2.3.8 Post processing
Post processor helps us to view the results
obtained from the analysis. The results obtained as
nodal solution may be viewed in the of tables form
or contour plots. These plots are very much useful
for us to identify the results such as displacements
stresses and strains and also their maximum and
minimum values.
3. ANALYSIS
Analysis in ABAQUS is done by 3 stages.
The stages are as follows:
Static linear Analysis
Buckling Analysis
Non-Linear Analysis
The results obtained from the ABAQUS analysis
of I section and C section beam models are
presented. Comparisons were made between the
ABAQUS and experimental results. Discussions
were carried out with respect to the comparisons of
load capacities and the mode of failure occurred.
3.1 PROCEDURE OF ANALYSIS
The material type used to model is shell type
and element type is S4R.
The model is being developed.
The properties are now assigned to the model.
Now meshing of the instance is done
The end condition of fixed-fixed is applied with
some displacement constraints.
The load is being applied to the model and the
analysis is done.
Give the incremental steps as 10
Note down the displacement and deflected
mode shape of the model.
3.1.1Static linear Analysis
The procedure for Static linear analysis is
to create a Step in which the increment can be
suggested as 10. Go to step→ General→ Static,
General.
Fig 5. Linear analysis
3.1.2 Buckling Analysis
The buckling analyses were carried out to
predict the buckling loads and the corresponding
buckling shapes. These were used as a parameter in
determining the post-buckling strength and had
additional application for incorporating the input
values of the geometric imperfection by using first
few buckling mode shape values. The buckling
analysis was carried out for the eigen values of 50
using LANCZOS eigen solver by applying an initial
displacement of 1 mm at the point of application of
load. Then, the displacement corresponding to local
and overall buckling was added to get the total
displacement.
Fig 6. Buckling Analysis
3.1.3 Non Linear Analysis
For the nonlinear post buckling analysis, the
model was developed by incorporating the geometric
imperfections to simulate the exact specimen details.
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The geometric dimensions were measured at ten
different locations at equal intervals along the length
of the specimen. The section geometric imperfections
included the thickness of the section, the width of the
stiffened, unstiffened plate elements.
The basic approach to non-linear solutions
was to break the load into a series of load increments.
The load step Riks method was used for the
displacement increment method. It consisted of load
increments applied either over several load steps or
over several sub steps. Material and geometrical
nonlinearities were incorporated to predict the
experimental strength and behaviour. Only the
displacement increment method used in model
validation but for the parametric study, the section
was loaded axially at the movable end by prescribing
suitable increments of axial displacements.
For each incremental step of end-shortening
the total load or reaction at the fixed end was
obtained. Post buckling analysis was required to
study the load-deflection behaivour of cold-formed
steel members. There are several methods available
namely Newton-Raphson method, Modified
Newton-Raphson method, Incremental method, and
Quasi-Newton method. Among them Modified Riks
method is efficient and quite accurate which is used
for the cases where the load magnitude is governed
by a single scalar parameter. Thus Modified Riks
method (Arc length based) was tried by considering
both geometric nonlinearity and material non-
linearity, but this method did not predict accurately
for problems involving strong local instability and
redistribution. The analysis was terminated when
calculation was lose to the peak load due to
convergence problems. The sections were axially (or)
eccentrically loaded at the top by prescribing suitable
increments of displacements. The load carrying
capacity of section was traced for every increment of
displacement. The results from a non- linear post-
buckling analysis of ABAQUS consisted mainly of
displacements, stresses, strains and reaction forces.
The general post processor in ABAQUS provided
plotting and listing capabilities of these results over
the entire model. The visualization feature was used
to review results at specific points in the model over
all time steps.
Fig 7. Non-Linear Analysis
Graph obtained
After the non -linear analysis is done the
graph between load and displacement is obtained
from the software where the x axis is displacement
and y axis is load
Fig 8. Load vs displacement curve.
3.2 For +ve eccentricity and –ve eccentricity of
30mm in y-axis
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Fig 9. Linear Analysis
Fig 10. Buckling Analysis
Fig 11. Non –Linear Analysis
4. EXPERIMENTAL INVESTIGATION
4.1 INTRODUCTION
Experimental study is carried out on the
channel section in universal testing machine. The
Light gauge steel members can be cast into
different shapes and dimensions easily.This
chapter deals with the specimen dimensions and
the arrangements of the specimens and instruments
of the cold-formed steel column
4.2 TENSION TEST ON STEEL SHEET
IS 1663 – 1960 part I prescribes the method
of conducting tensile test on steel sheet strip less
than 3 mm and not less than 0.5 mm thick.
The test piece has a width ‘b’ of 20mm and a
gauge length Lo of 80mm. However if the nominal
thickness of ‘a’ is not greater than 2mm, the test
piece may have a width of 12.5mm and a gauge
length ‘ Lo’ of 50mm.
The test piece generally has enlarged ends, in
which case there is a transition radius of not less
than 20 mm between the gripped ends and the
parallel lengths. The width of the enlarged ends is
not less than 20 mm and not more than 40 mm.
The ends of the test piece metal held in suitable
grips in the testing machine in such a way that the
centre line of pull coincides with the longitudinal
axis of the test piece. The parallel length is kept
between Lo +b/2 & Lo +2b.
Fig 12.Tensile test-Steel sheet specimen
4.3 TEST PROCEDURE:
Totally six specimens were fabricated for
the above mentioned dimensions. Tensile test was
usually conducted in universal tensile machine.
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Two flange portion of the test piece were fixed at
the bottom and top clamp in universal testing
machine and also an extensometer with gauge
length of 2 inch was fixed at the web portion of the
test piece. Test setup of tensile test is shown in the
figure. After fixation, tensile force was applied
upto breaking of test piece. Manually deflection
and load are noted and then graphs were plotted.
From the graph the young’s modulus and the yield
stress were calculated.
4.3.1 RATE OF LOADING
If the yield stress is to be determined, the
speed of the machine should be so regulated that
the rate of increase of stress on the test piece is not
more than one kilogram force per square
millimeter per second, therefore rate of loading is
approximately 5 kg/mm2
until the yield point is
reached in the specimen.
Fig 13. Specimens for Coupon test
Fig 14. Tensile Test Setup
Fig15. Specimen before and after Test
From the graphs average yield stress and young’s
modulus value are given in the table.1
Specimen
Details
Young’s
Modulus
( N/mm2
)
Yield
Stress
( N/mm2
)
Average
Young’s
Modulus
(N/mm2
)
Average
Yield
Stress
(N/mm2
)
C-1 1.99 x 105
299
2.01x 105
301.00C-2 1.97 x 105
310
C-3 2.07 x 105
295
C-4 2.13 x 105
392
2.1 x 105
397.00C-5 1.98 x 105
398
C-6 2.2 x 105
401
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Table 1. Tension test result on Steel sheet
4.3.2 Section Preparation:
CFS: Cold Formed Sheets of thickness 2mm of
length 700mm are cut and bent to c-section of
100mm x 40mm using hydraulic machines.
End plates: plates are used to achieve fixed end
condition
Support condition: Fixed at both ends.
Loading: concentrated loading
Fig 16. Specimens before testing
4.3.3 testing:
The section is modeled by connecting the channel
section of 100mm x 40mm x 2mm with 2 plates on
both the end . Length of the specimen is taken
700mm for all specimens. Six specimens were
casted in each section dimension . A concentrated
load is applied on the axial and eccentrical point.
The eccentricity lies at 30 mm in both +ve and –ve
directions.Fig 4.7 shows the experimental set up.
Fig 17. Experimental Set up
The specimen is kept on the UTM and the load is
applied through the hydraulic jack and then the
load ,displacement readings are noted. Load Vs
Deflection curve is determined.
4.4 FAILURE MODES
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Fig 18. Failure modes
Fig 19. Failure modes of 100mm x 40mm x 2mm
Fig 20. Failure modes of 100mm x 40mm x 2mm
with lips
Specimen(mm) Ultimate
Load(kN)
40-100-2-700 (axial) 35.05
40-100-2-700(+veeccentricity) 22.65
40-100-2-700(-ve eccentricity)
27.6
40-100-2-700 (axial) 38.88
40-100-2.0-700(+ve
eccentricity) 19.55
40-100-2.0-700(-ve
eccentricity) 23
Table 2. Experimental results
Fig 21. Load Vs Deflection for 100mm x
40mm x 2mm
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Fig 22. Load Vs Deflection for 100mm x
40mm x 2mm(+ve ecc)
Fig 23. Load Vs Deflection for 100mm x
40mm x 2mm(-ve ecc)
CHANNEL SECTION WITH RIBS
Fig 24. Load Vs Deflection for 100mm x
40mm x 2mm(axial)
Fig 25. Load Vs Deflection for 100mm x
40mm x 2mm(+ve ecc)
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Fig 26. Load Vs Deflection for 100mm x
40mm x 2mm(-ve ecc)
5. RESULTS AND DISCUSSION
5.1 GENERAL
The load carrying capacities of specimens,
estimated by using IS: 801-1985, numerical
analysis and experimental, are compared.
Discussions were carried out with respect to the
load carrying capacities and the failure mode
occurred.
Fig 27. Comparison of Load Vs Deflection of
ABAQUS and EXPERIMENTAL ANALYSIS
S.No. Specimen (EI 40-100-2-700) Pu
(kN)
1 Results obtained from
experimental analysis
33.88
2 Results obtained from
ABAQUS
33.975
Table 3. Comparison of experimental results with
ABAQUS results
5.2 VALIDATION OF ANALYSIS
For 100 mm x 40mm x 2mm channel section axial
loading the results obtained in ABAQUS and
Experimental are compared.
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Fig 28. Comparison of experimental and analytical
results
6. CONCLUSION
6.1 GENERAL
Cold-Formed Steel Channel sections of two
different web depths having the same flange width
of 40 mm subjected to axial and eccentric
compression on both positive and negative
eccentricity for a 30mm was studied. The channels
were tested with fixed-fixed end condition.
Experiments were also conducted on CFC 100mm
x 40mm x2mm and HRS 100mm x 40mm x 2mm
for applying the load concentrically and
eccentrically. The load versus lateral deflection
behaviour was studied for the specimen tested.
Numerical Investigations were carried out on
different cross sections using a finite element
program ABAQUS and the experimental studies
were validated for the ultimate load carrying
capacity with the experimental results. The
following conclusions were drawn.
6.2 EXPERIMENTAL STUDY
The ultimate load carrying capacity of axially
loaded plain channels obtained from tests was
found to be twice compared to the channel loaded
with 30mm positive eccentricity.
The load carrying capacity of channel loaded
through 30mm negative eccentricity was 10%
more than the capacity of the channel loaded
through 30 mm positive eccentricity.
All the specimens exhibited compressive
strains except for the specimen loaded through
negative eccentricity.
6.3 NUMERICAL STUDY
Sections with lower flat width to thickness ratios
of both the stiffened and unstiffened elements
showed sudden increase in the load carrying
capacity
6.4 COMPARISON OF RESULTS
From the analysis done with
numerical study and experimental study it has been
observed that for the load carrying capacity of the
section its corresponding deflection will be having
a slight variation within 10%. The mode shapes of
the failure is about 90% similar as per the
validation of the result.
6.5 SCOPE OF THE PROJECT
Similar experiments can be conducted on
sections with different flange widths and the
behavior can be studied.
Eccentricity along the strong axis can be
chosen for different width and load can be applied
through biaxial eccentricity and the behavior can
be studied.
Similar studies can be conducted using other
commercially available Finite Element Analysis
Packages
REFERENCES
1. IS: 801 “Code of Practice for Use of Cold-
formed Light Gauge Steel Structural
Members in General Building
Construction”, Bureau of Indian Standards,
1975.
2. IS: 811”Specificatio for Cold-formed Light
Gauge Structural Steel Sections”, Bureau of
Indian Standards, 1987.
International Journal of Scientific Research and Engineering Development—Volume2 Issue 2, Mar –Apr 2019
Available at www.ijsred.com
ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 321
3. Al-bermani, F.G.A. and Kitipornachai, S.
“Stability of Cold-Formed Members” ,
Engineering Structures, Vol. 16, No. 5 , pp.
386-392, 1994.
4. Seah, L.K. “Ultimate Strength of
Uniformly Compression Edge- stiffened
Thin-Walled Sections”, Journal of
Constructional Steel Research, Vol. 36, No.
1, pp. 31-51, 1996.
5. Schafer, B.W. and Pekoz, T. ”The
Behaviour and Design of Longitudinally
Siffened Thin – Walled Compression
Elements”, Thin-Walled Structures, Vol. 27
, No. 1, pp. 65-78, 1997.
6. Nabil Abdel-Rahman and Sivakumaran,
K.S. “Material Properties Models for
Analysis of Cold-Formed Steel Me,bers”,
Journal of Structural Engineering, ASCE,
Vol. 123, No.9 ,pp. 1135-1143,1997.
7. Kalyanaraman, V. and Srinivasa Rao,K.
“Torsional-Flexural Buckling of Singly
Symmetric Cold-formed Beam Columns”,
Journal of Constructional Steel Research,
Vol.46, No.1-3, pp. 191-193, 1998.
8. Schafer, B.W. and Pekoz, T. “
Computational Modeling of Cold-Formed
Steel: Characterising Geometric
Imperfections and Residual Stresses”,
Journal of Constructional Steel Research,
Vol. 47, No. 3, pp. 193-210, 1998
9. Sivakumaran, K.S. and Nabil Abdel-
Rahman “ A Finite Element Analysis
Model for the Behaviour of Cold-Formed
10. Samuel Knight, G.M., Beulah Gnana
Ananthi, G., and Nagesh R.Iyer ,
“Numerical Analysis of Cold-Formed Steel
Open Sections Under Axial Compression”,
Journal of Structural Engineering, Special
Edition April-May 2012 , Vol. 39, No.1,
pp.1-8, 2012.
11. Samuel Knight, G.M., Beulah Gnana
Ananthi, G., and Nagesh R.Iyer ,and
Marimuthu, V. : Behaviour of cold-formed
plain channels under compression”, Journal
of Structural Engineering, Vol. 41, No.3,
August-September, 2012.

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IJSRED-V2I2P30

  • 1. International Journal of Scientific Research and Engineering Development—Volume2 Issue 2, Mar –Apr 2019 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 306 Experimental and Analysis Of Cold Formed Steel Channel Section E.Dayana. PG Scholar, M.E-Structural Engineering, Department of Civil Engineering, Star Lion College Of Engineering And Technology, Manankorai, Thanjavur, Tamilnadu-614206. ----------------------------------------------************************------------------------------------- ABSTRACT The comparison of cold formed steel section and hot rolled steel section of equal cross sectional area is done in this project. Sections were experimentally tested under axial, biaxial and eccentric compression in universal testing machine. Simultaneously, ultimate compressive strength of cold formed members and hot rolled members has been investigated. Also, different properties of the sections are obtained experimentally. The validation of results is done by preparing finite element model in “ABAQUS 6.11” SOFTWARE under point loading with fixed end condition. Key word: cold formed steel, axial, biaxial, finite element model, under point loading and fixed end condition. -----------------------------------------************************--------------------------------- 1. INTRODUCTION 1.1 GENERAL Light gauge steel evolved as a building material in the 1930’s and reached large scale usage only after the Second World War. In comparison with conventional steel construction, where standard hot-rolled shapes are used, the cold-formed Light gauge steel structures are relatively new development. Light gauge steel sections are cold- formed in rolls by rolling the material in cold condition or by bending the steel sheets or strips in press brakes, cold rolling being used for mass production while press brakes are used for economical production of small quantities of special shapes. These are used widely in structures subjected to light or moderate loads or for the members of short span length. For such structures the use of hot- rolled shapes is often uneconomical and the stresses developed in the smallest available shape may be very low. Earlier, use of light gauge steel was limited to building construction only but now it finds application in trucks and trailer bodies, rail coaches, etc., Light gauge members are connected by spot welds or by screws, rivets, bolts, etc. Shapes which can be cold –formed are many and varied. Generally, the shape varies with its application. Engineers have learned to adopt this versatility to advantage in design of compression members, studs, joists, beams, roof, panels and other industrial structural members .In the design of structural sections for framing members the main aim is to develop shapes which combine economy of material with versatility ,ease of mass production, and provision for effective and simple connection to other structural members or to non-structural materials or both of them. RESEARCH ARTICLE OPEN ACCESS
  • 2. International Journal of Scientific Research and Engineering Development—Volume2 Issue 2, Mar –Apr 2019 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 307 The usual shapes of framing members are channels, zees, hat sections, tees, I sections and tubular sections as in fig. These sections 50 to 300 mm in depth can carry substantial loads and are used as primary framing members in residential, commercial and industrial buildings up to two stories in height and roof trusses up to 15 m span. Figure1. Light gauge shapes for structural framing 1.2 Hot rolled Vs cold formed members Cold – formed steel members can be easily shaped and sized to meet any particular design requirements. Cold- formed steel members are lighter compared to hot rolled members. Cold- formed steel beams are more economical compared to hot rolled steel beams for low rise buildings when the beam spans are not long and to any shapes compared to light gauge members. Cold formed light gauge steel members can be manufactured for light loads and short spans 1.3 APPLICATIONS OF COLD FORM MEMBERS Agriculture Mining Aircraft Industry Nuclear Industries Railway Bridges Storage Racks Car bodies 1.4 ADVANTAGES OF COLD-FORMED STEEL Cold forming has the effect of increasing the yield strength of steel, the increase being the consequence of cold working in to strain hardening range. These 1increases are predominant in zones where the metal is bent by folding .The effect of cold working is thus to enhance the main yield stress by 15%-30%. For purpose of design, the yield stress may be regarded as having been enhanced by a minimum of 15%. Generally, cold formed steel sections have several advantages over hot rolled sections and timber trusses .The main advantages are listed as follows. a) Consistency and accuracy of profile The nature of manufacturing process of cold rolling includes includes the ability of desired profile to be maintained and repeated for as long as required with minimum tolerances. Cross sectional shapes are formed to close tolerances and these can be consistently repeated for as long as required. The consistency and accuracy and accuracy of profile can be achieved by the use of computer control system. The quality of the section can be efficiently controlled in the factory, and does not depend on environmental factor as in the case of timber. b) Versatility of profile shape Cold rolling can be employed to produce almost any desired shape to any desired length. Almost any desired section such as T-section, Z- section, hat section, the size, length, shape, and thickness can be produced by cold rolling. c) Corrosion Resistance by Pre-galvanisation or Pre-coating
  • 3. International Journal of Scientific Research and Engineering Development—Volume2 Issue 2, Mar –Apr 2019 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 308 The steel material may be pre-galvanized or pre-coated with materials such as zinc hi-ten to enhance its corrosion resistance and attractive surface finish. This coating gives the truss an attractive silver finish and avoids the messy requirement of painting on frames on site. d)Variety of connection and jointing methods All conventional methods of connecting components such as riveting, bolting, welding, screwing, and adhesives materials are suitable for cold formed section. A pointed long screw about 10 mm long and 5 mm in diameter was used in the study since it is the fastest and easiest way available in the local market. e) Speed in construction and easy to erect Generally, steel construction has eliminated the curing time which is inevitable in concrete construction. The use of cold-formed steel section has a better advantage than hot rolled steel since they can be cut easily and erected with very light machine and need less workers f) Increase in Yield strength Due to cold forming The cold forming process introduces local work hardening in the strip being formed in the vicinity of the formed corners. This local work hardening may result in an increment of ultimate yield strength of about 25% from its expected design strength. g )Minimum use of material Since the material can be very thin in comparison with the lower thickness limit of hot rolled sections, it therefore allows the usage of material for the given strength or stiffness requirement to much less than that of hot rolled sections. The material thickness , or even the cross- sectional geometrices, could be controlled to achieve the structural features with the minimum material weight. h) Lower in production cost and higher in profit In cold rolled process the manufacturing costs involve the purchasing of the rolling machine and the steel strip coils. The cost of the machine can be easily recovered in the continous mass production of the section. The cold formed steel roof truss system, which is great demand and not enough supply locally can be considered as having a good potential as construction material. 1.5 VARIETIES OF COLD-FORMED SHAPES The built-up members are formed by connecting two or more cold-formed steel members together, such as I section Member built up by connecting two channel sections back to- back. These structural shapes can be used in buildings as eave struts, purling, grits, studs, headers, floor joists, braces and other building Components. Various shapes are also available for wall, floor, and roof diaphragms and coverings. Open sections, closed sections and built-up sections. C, Z, double channel I sections, hat, and angle sections are open sections while box sections and pipes are closed sections . Fig 2. Varieties of Cold formed shapes 1.6 TYPES OF ELEMENTS Cold formed steel elements are either stiffened or unstiffened.
  • 4. International Journal of Scientific Research and Engineering Development—Volume2 Issue 2, Mar –Apr 2019 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 309 Stiffened compression element is a flat compression element of which both edges parallel to the direction of stress are stiffened. An unstiffened element is a flat compression element stiffened at only one edge parallel to the direction of of stress. When an element is stiffened web,or between a web and an edge ,by providing intermediate stiffeners parallel to the direction of stress ,then the element is considered as multiple stiffened elements. 1.7 OBJECTIVES OF THE WORK To study the behaviour of cold-formed steel plain channel sections as short and intermediate columns under fixed end condition subjected to axial and eccentric loading. To study the load versus axial shortening behaviour, the effect of change in flat width to thickness ratio and the slenderness ratio on the load carrying capacity, and their initial stiffness characteristics. To develop a non-linear finite element model incorporating the geometrical imperfections for predicting the ultimate load carrying capacity. To study the effect of eccentrically applied loads on the load carrying capacity. To compare the experimental, analytical load carrying capacity of the short and intermediate channel columns and also their stiffness characteristics. To study the possible modes of failure of the members under static loading by performing non –linear analysis using ABAQUS 6.11 software To study the possible modes of failure of the members under static loading. 1.8 SCOPE To study the behaviour of plain channel cold formed steel section under axial and eccentric loading. There is a need for brief investigation to understand their stress strain behaviour, load deflection behaviour under static loading. Four specimens with different geometric properties have been analysed using “ABAQUS 6.11” SOFTWARE under point loading with fixed end condition. 2. NUMERICAL INVESTIGATION 2.1 GENERAL An experimental investigation can be supplemented with a numerical method of predicting the behaviour with in the acceptable accuracy limit. There are many practical engineering problems for which one cannot obtain exact solutions. This inability to obtain exact solution may be attributed to either the complex nature of governing differential equations or the difficulties that arise from dealing with the complicated boundary conditions. The Finite Element Method (FEM) is a numerical technique to obtain approximate solutions to a wide variety of engineering problems where the variable are related by means of algebraic , differential and integral equation. Finite Element Analysis converts the physical structure to a complex system of points called nodes which make a grid called a mesh. This mesh is programmed to contain the material and structural properties which define how the structure will react to certain loading conditions. It has capability of both linear and non-linear analysis . Linear models use simple parameters and assume that the material is not plastically deformed. Non- linear models include of stressing of the material past its elastic limits. The finite element method is a numerical analysis technique for obtaining approximate solutions to wide variety of Engineering problems. Most of the engineering problems today make it necessary to obtain approximate numerical solutions to problems rather than exact closed form solutions. The basic concept behind the finite element analysis is that structure is divided into a finite number of elements having finite dimensions and reducing the structure having infinite degrees of freedom to finite degrees of freedom. Then
  • 5. International Journal of Scientific Research and Engineering Development—Volume2 Issue 2, Mar –Apr 2019 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 310 original structure is assemblage of these elements connected at a finite number of joints called Nodal points (Nodes). For the finite element analysis advanced software ABAQUS 6.11 was used. 2.2 PROCEDURE OF ABAQUS In all Finite Element Analysis, engineering problem can be solved in many steps. In the Finite Element Analysis Software ABAQUS 6.11, problems are solved in three phases such as 1. Pre processing 2. Solution 3. Post processing 2.3 Modelling The modelling is done by using ABAQUS 6.11. The connectivity between the web and the flange is done by welding process. The dimension of the channel sections are 100mmx50mmx2mm and 90mmx50mmx2mm, each has a length of 700mm. 2.3.1 Material Properties The value of Young’s modulus as 1.86x105 N/mm2 , Poisson’s ratio is 0.3. The Yield stress is 186 N/mm2 . 2.3.2 Element type If the section thickness is less than one tenth of an elemental dimensions, then the section is modeled as shell elements. Since the cross-section considered for the study had thickness much less than the least dimension in any direction, a shell element was chosen for analysis. The software chosen for numerical investigation was ABAQUS. ABAQUS shell element library provides numerous types of shell elements that allow modeling of curved surface, intersection of shells and non-linear material response. These shell elements are divided into three categories consisting of general-purpose, thin, and thick shell elements. The modeling pattern for the shell S4R is shown in fig 3.1. Fig 3. Modeling pattern of shell C4R For performing static analysis, general- purpose shell elements were appropriate and 4-noded shell elements were adopted for most of FE models. S4R a 4-noded doubly curved general-purpose shell, element with reduced integration hourglass control and with finite membrane strains was used. Higher resolution of the transverse shear was obtained by stacking continuum shell elements. C3D8R, a solid element was used to model the end plates which were used to transfer the load to the load to the channel column section. This element was defined by an 8-noded linear brick, with reduced integration and hourglass control. Figure 3.2 shows the element characteristics of SOLID C3D8R.
  • 6. International Journal of Scientific Research and Engineering Development—Volume2 Issue 2, Mar –Apr 2019 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 311 Fig 4. Element characteristic of solid C3D8R element A detailed parametric study was conducted taking into account two different webs of depth 100 and 90 mm respectively and plate thickness of 2 mm each with flange width of 40 mm for all variations. 2.3.3 Meshing Element aspect ratios were 1-2 range as it was found to give better results based on the results obtained by earlier researchers. Analysis with a high mesh density usually increases the accuracy of the results obtained at the expense of computational time, while analysis using low mesh density though takes less time can lead to serious errors. Therefore the element meshes are usually refined until an acceptable converged solution is obtained. The refined finite element mesh chosen was arrived at after conducting a series of studies to satisfy the convergence criteria. Element meshes were refined until the acceptable converged solution was obtained. 2.3.4 Displacement constraints Both the ends of the specimen were assigned to be fixed ends using Displacement/Rotation option in which the loaded end is given as(u1=u2=ur1=ur2=ur3=0) and the other end (u1=u2=u3=ur1=ur2=ur3=0). 2.3.5 Load Application Loads can be applied to the finite element model in various forms such as applying loads to the key points, lines, areas, elements and at the nodes. For our problem the analysis is carried out for a concentrated loading on the column at axial and eccentricity. 2.3.6 Geometric imperfection While obtaining buckling deformation during nonlinear analysis, the column was assumed to have initial geometric imperfections. This was achieved by modeling the structure with an initial out-of plane deflection. Precise data of the distribution of geometric imperfections was obtained for all the experimental specimens. The scaled value of linear buckling mode shape was used to create an initial imperfection for the nonlinear post buckling analysis. The degree of imperfection was assumed as the maximum amplitude of the buckling mode shape and considered as a percentage of element thickness. Geometric imperfections were considered as a maximum local imperfection in the stiffened element and maximum deviation from straightness in unstiffened element. Pekoz and Schafer (1996) suggested expression for average degree of imperfection for the cold-formed steel members was between 0.14t and 0.66 t, where t is the thickness of sheet steel. Hence, in this study, the results based on the expression suggested by Pekoz were used. The local buckling imperfection amplitude of 0.2t to 0.5t and the overall imperfection amplitude of L/200 to L/ 1000 were used for eccentrically loaded and for the axially loaded and for the axially loaded channels respectively. 2.3.7 Solution In this stage problem is subjected to static linear analysis. The errors and warnings are
  • 7. International Journal of Scientific Research and Engineering Development—Volume2 Issue 2, Mar –Apr 2019 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 312 identified at this stage. After nullifying those errors the solution process gets completed. 2.3.8 Post processing Post processor helps us to view the results obtained from the analysis. The results obtained as nodal solution may be viewed in the of tables form or contour plots. These plots are very much useful for us to identify the results such as displacements stresses and strains and also their maximum and minimum values. 3. ANALYSIS Analysis in ABAQUS is done by 3 stages. The stages are as follows: Static linear Analysis Buckling Analysis Non-Linear Analysis The results obtained from the ABAQUS analysis of I section and C section beam models are presented. Comparisons were made between the ABAQUS and experimental results. Discussions were carried out with respect to the comparisons of load capacities and the mode of failure occurred. 3.1 PROCEDURE OF ANALYSIS The material type used to model is shell type and element type is S4R. The model is being developed. The properties are now assigned to the model. Now meshing of the instance is done The end condition of fixed-fixed is applied with some displacement constraints. The load is being applied to the model and the analysis is done. Give the incremental steps as 10 Note down the displacement and deflected mode shape of the model. 3.1.1Static linear Analysis The procedure for Static linear analysis is to create a Step in which the increment can be suggested as 10. Go to step→ General→ Static, General. Fig 5. Linear analysis 3.1.2 Buckling Analysis The buckling analyses were carried out to predict the buckling loads and the corresponding buckling shapes. These were used as a parameter in determining the post-buckling strength and had additional application for incorporating the input values of the geometric imperfection by using first few buckling mode shape values. The buckling analysis was carried out for the eigen values of 50 using LANCZOS eigen solver by applying an initial displacement of 1 mm at the point of application of load. Then, the displacement corresponding to local and overall buckling was added to get the total displacement. Fig 6. Buckling Analysis 3.1.3 Non Linear Analysis For the nonlinear post buckling analysis, the model was developed by incorporating the geometric imperfections to simulate the exact specimen details.
  • 8. International Journal of Scientific Research and Engineering Development—Volume2 Issue 2, Mar –Apr 2019 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 313 The geometric dimensions were measured at ten different locations at equal intervals along the length of the specimen. The section geometric imperfections included the thickness of the section, the width of the stiffened, unstiffened plate elements. The basic approach to non-linear solutions was to break the load into a series of load increments. The load step Riks method was used for the displacement increment method. It consisted of load increments applied either over several load steps or over several sub steps. Material and geometrical nonlinearities were incorporated to predict the experimental strength and behaviour. Only the displacement increment method used in model validation but for the parametric study, the section was loaded axially at the movable end by prescribing suitable increments of axial displacements. For each incremental step of end-shortening the total load or reaction at the fixed end was obtained. Post buckling analysis was required to study the load-deflection behaivour of cold-formed steel members. There are several methods available namely Newton-Raphson method, Modified Newton-Raphson method, Incremental method, and Quasi-Newton method. Among them Modified Riks method is efficient and quite accurate which is used for the cases where the load magnitude is governed by a single scalar parameter. Thus Modified Riks method (Arc length based) was tried by considering both geometric nonlinearity and material non- linearity, but this method did not predict accurately for problems involving strong local instability and redistribution. The analysis was terminated when calculation was lose to the peak load due to convergence problems. The sections were axially (or) eccentrically loaded at the top by prescribing suitable increments of displacements. The load carrying capacity of section was traced for every increment of displacement. The results from a non- linear post- buckling analysis of ABAQUS consisted mainly of displacements, stresses, strains and reaction forces. The general post processor in ABAQUS provided plotting and listing capabilities of these results over the entire model. The visualization feature was used to review results at specific points in the model over all time steps. Fig 7. Non-Linear Analysis Graph obtained After the non -linear analysis is done the graph between load and displacement is obtained from the software where the x axis is displacement and y axis is load Fig 8. Load vs displacement curve. 3.2 For +ve eccentricity and –ve eccentricity of 30mm in y-axis
  • 9. International Journal of Scientific Research and Engineering Development—Volume2 Issue 2, Mar –Apr 2019 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 314 Fig 9. Linear Analysis Fig 10. Buckling Analysis Fig 11. Non –Linear Analysis 4. EXPERIMENTAL INVESTIGATION 4.1 INTRODUCTION Experimental study is carried out on the channel section in universal testing machine. The Light gauge steel members can be cast into different shapes and dimensions easily.This chapter deals with the specimen dimensions and the arrangements of the specimens and instruments of the cold-formed steel column 4.2 TENSION TEST ON STEEL SHEET IS 1663 – 1960 part I prescribes the method of conducting tensile test on steel sheet strip less than 3 mm and not less than 0.5 mm thick. The test piece has a width ‘b’ of 20mm and a gauge length Lo of 80mm. However if the nominal thickness of ‘a’ is not greater than 2mm, the test piece may have a width of 12.5mm and a gauge length ‘ Lo’ of 50mm. The test piece generally has enlarged ends, in which case there is a transition radius of not less than 20 mm between the gripped ends and the parallel lengths. The width of the enlarged ends is not less than 20 mm and not more than 40 mm. The ends of the test piece metal held in suitable grips in the testing machine in such a way that the centre line of pull coincides with the longitudinal axis of the test piece. The parallel length is kept between Lo +b/2 & Lo +2b. Fig 12.Tensile test-Steel sheet specimen 4.3 TEST PROCEDURE: Totally six specimens were fabricated for the above mentioned dimensions. Tensile test was usually conducted in universal tensile machine.
  • 10. International Journal of Scientific Research and Engineering Development—Volume2 Issue 2, Mar –Apr 2019 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 315 Two flange portion of the test piece were fixed at the bottom and top clamp in universal testing machine and also an extensometer with gauge length of 2 inch was fixed at the web portion of the test piece. Test setup of tensile test is shown in the figure. After fixation, tensile force was applied upto breaking of test piece. Manually deflection and load are noted and then graphs were plotted. From the graph the young’s modulus and the yield stress were calculated. 4.3.1 RATE OF LOADING If the yield stress is to be determined, the speed of the machine should be so regulated that the rate of increase of stress on the test piece is not more than one kilogram force per square millimeter per second, therefore rate of loading is approximately 5 kg/mm2 until the yield point is reached in the specimen. Fig 13. Specimens for Coupon test Fig 14. Tensile Test Setup Fig15. Specimen before and after Test From the graphs average yield stress and young’s modulus value are given in the table.1 Specimen Details Young’s Modulus ( N/mm2 ) Yield Stress ( N/mm2 ) Average Young’s Modulus (N/mm2 ) Average Yield Stress (N/mm2 ) C-1 1.99 x 105 299 2.01x 105 301.00C-2 1.97 x 105 310 C-3 2.07 x 105 295 C-4 2.13 x 105 392 2.1 x 105 397.00C-5 1.98 x 105 398 C-6 2.2 x 105 401
  • 11. International Journal of Scientific Research and Engineering Development—Volume2 Issue 2, Mar –Apr 2019 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 316 Table 1. Tension test result on Steel sheet 4.3.2 Section Preparation: CFS: Cold Formed Sheets of thickness 2mm of length 700mm are cut and bent to c-section of 100mm x 40mm using hydraulic machines. End plates: plates are used to achieve fixed end condition Support condition: Fixed at both ends. Loading: concentrated loading Fig 16. Specimens before testing 4.3.3 testing: The section is modeled by connecting the channel section of 100mm x 40mm x 2mm with 2 plates on both the end . Length of the specimen is taken 700mm for all specimens. Six specimens were casted in each section dimension . A concentrated load is applied on the axial and eccentrical point. The eccentricity lies at 30 mm in both +ve and –ve directions.Fig 4.7 shows the experimental set up. Fig 17. Experimental Set up The specimen is kept on the UTM and the load is applied through the hydraulic jack and then the load ,displacement readings are noted. Load Vs Deflection curve is determined. 4.4 FAILURE MODES
  • 12. International Journal of Scientific Research and Engineering Development—Volume2 Issue 2, Mar –Apr 2019 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 317 Fig 18. Failure modes Fig 19. Failure modes of 100mm x 40mm x 2mm Fig 20. Failure modes of 100mm x 40mm x 2mm with lips Specimen(mm) Ultimate Load(kN) 40-100-2-700 (axial) 35.05 40-100-2-700(+veeccentricity) 22.65 40-100-2-700(-ve eccentricity) 27.6 40-100-2-700 (axial) 38.88 40-100-2.0-700(+ve eccentricity) 19.55 40-100-2.0-700(-ve eccentricity) 23 Table 2. Experimental results Fig 21. Load Vs Deflection for 100mm x 40mm x 2mm
  • 13. International Journal of Scientific Research and Engineering Development—Volume2 Issue 2, Mar –Apr 2019 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 318 Fig 22. Load Vs Deflection for 100mm x 40mm x 2mm(+ve ecc) Fig 23. Load Vs Deflection for 100mm x 40mm x 2mm(-ve ecc) CHANNEL SECTION WITH RIBS Fig 24. Load Vs Deflection for 100mm x 40mm x 2mm(axial) Fig 25. Load Vs Deflection for 100mm x 40mm x 2mm(+ve ecc)
  • 14. International Journal of Scientific Research and Engineering Development—Volume2 Issue 2, Mar –Apr 2019 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 319 Fig 26. Load Vs Deflection for 100mm x 40mm x 2mm(-ve ecc) 5. RESULTS AND DISCUSSION 5.1 GENERAL The load carrying capacities of specimens, estimated by using IS: 801-1985, numerical analysis and experimental, are compared. Discussions were carried out with respect to the load carrying capacities and the failure mode occurred. Fig 27. Comparison of Load Vs Deflection of ABAQUS and EXPERIMENTAL ANALYSIS S.No. Specimen (EI 40-100-2-700) Pu (kN) 1 Results obtained from experimental analysis 33.88 2 Results obtained from ABAQUS 33.975 Table 3. Comparison of experimental results with ABAQUS results 5.2 VALIDATION OF ANALYSIS For 100 mm x 40mm x 2mm channel section axial loading the results obtained in ABAQUS and Experimental are compared.
  • 15. International Journal of Scientific Research and Engineering Development—Volume2 Issue 2, Mar –Apr 2019 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 320 Fig 28. Comparison of experimental and analytical results 6. CONCLUSION 6.1 GENERAL Cold-Formed Steel Channel sections of two different web depths having the same flange width of 40 mm subjected to axial and eccentric compression on both positive and negative eccentricity for a 30mm was studied. The channels were tested with fixed-fixed end condition. Experiments were also conducted on CFC 100mm x 40mm x2mm and HRS 100mm x 40mm x 2mm for applying the load concentrically and eccentrically. The load versus lateral deflection behaviour was studied for the specimen tested. Numerical Investigations were carried out on different cross sections using a finite element program ABAQUS and the experimental studies were validated for the ultimate load carrying capacity with the experimental results. The following conclusions were drawn. 6.2 EXPERIMENTAL STUDY The ultimate load carrying capacity of axially loaded plain channels obtained from tests was found to be twice compared to the channel loaded with 30mm positive eccentricity. The load carrying capacity of channel loaded through 30mm negative eccentricity was 10% more than the capacity of the channel loaded through 30 mm positive eccentricity. All the specimens exhibited compressive strains except for the specimen loaded through negative eccentricity. 6.3 NUMERICAL STUDY Sections with lower flat width to thickness ratios of both the stiffened and unstiffened elements showed sudden increase in the load carrying capacity 6.4 COMPARISON OF RESULTS From the analysis done with numerical study and experimental study it has been observed that for the load carrying capacity of the section its corresponding deflection will be having a slight variation within 10%. The mode shapes of the failure is about 90% similar as per the validation of the result. 6.5 SCOPE OF THE PROJECT Similar experiments can be conducted on sections with different flange widths and the behavior can be studied. Eccentricity along the strong axis can be chosen for different width and load can be applied through biaxial eccentricity and the behavior can be studied. Similar studies can be conducted using other commercially available Finite Element Analysis Packages REFERENCES 1. IS: 801 “Code of Practice for Use of Cold- formed Light Gauge Steel Structural Members in General Building Construction”, Bureau of Indian Standards, 1975. 2. IS: 811”Specificatio for Cold-formed Light Gauge Structural Steel Sections”, Bureau of Indian Standards, 1987.
  • 16. International Journal of Scientific Research and Engineering Development—Volume2 Issue 2, Mar –Apr 2019 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 321 3. Al-bermani, F.G.A. and Kitipornachai, S. “Stability of Cold-Formed Members” , Engineering Structures, Vol. 16, No. 5 , pp. 386-392, 1994. 4. Seah, L.K. “Ultimate Strength of Uniformly Compression Edge- stiffened Thin-Walled Sections”, Journal of Constructional Steel Research, Vol. 36, No. 1, pp. 31-51, 1996. 5. Schafer, B.W. and Pekoz, T. ”The Behaviour and Design of Longitudinally Siffened Thin – Walled Compression Elements”, Thin-Walled Structures, Vol. 27 , No. 1, pp. 65-78, 1997. 6. Nabil Abdel-Rahman and Sivakumaran, K.S. “Material Properties Models for Analysis of Cold-Formed Steel Me,bers”, Journal of Structural Engineering, ASCE, Vol. 123, No.9 ,pp. 1135-1143,1997. 7. Kalyanaraman, V. and Srinivasa Rao,K. “Torsional-Flexural Buckling of Singly Symmetric Cold-formed Beam Columns”, Journal of Constructional Steel Research, Vol.46, No.1-3, pp. 191-193, 1998. 8. Schafer, B.W. and Pekoz, T. “ Computational Modeling of Cold-Formed Steel: Characterising Geometric Imperfections and Residual Stresses”, Journal of Constructional Steel Research, Vol. 47, No. 3, pp. 193-210, 1998 9. Sivakumaran, K.S. and Nabil Abdel- Rahman “ A Finite Element Analysis Model for the Behaviour of Cold-Formed 10. Samuel Knight, G.M., Beulah Gnana Ananthi, G., and Nagesh R.Iyer , “Numerical Analysis of Cold-Formed Steel Open Sections Under Axial Compression”, Journal of Structural Engineering, Special Edition April-May 2012 , Vol. 39, No.1, pp.1-8, 2012. 11. Samuel Knight, G.M., Beulah Gnana Ananthi, G., and Nagesh R.Iyer ,and Marimuthu, V. : Behaviour of cold-formed plain channels under compression”, Journal of Structural Engineering, Vol. 41, No.3, August-September, 2012.