Double Skinned Steel Tubular (DSST)
Transcript of Double Skinned Steel Tubular (DSST)
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EXPERIMENTAL INVESTIGATION ON DOUBLE SKINNED STEEL
TUBULAR (DSST) COLUMNS SUBJECTED TO MONOTONIC LOADING
DISSERTATION
Submitted to
Visvesvaraya Technological University, Belgaum
In Partial Fulfillment of the Requirement for the Award of the Degree of
MASTER OF TECHNOLOGY
IN
STRUCTURAL ENGINEERING
By
DARSHAN.M.K
(USN: 1GC11CSE01)
Under the Guidance ofDr.N.S.KUMARProfessor & Director (R & D)
Dept of Civil Engineering, G.C.E,
Ramanagaram-571511
DEPARTMENT OF CIVIL ENGINEERING
GHOUSIA COLLEGE OF ENGINEERING
RAMANAGARAM-571511
2012-2013
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ACKNOWLEDGEMENT
The satisfaction and euphoria that accompanies the successful completion of any task would be
incomplete without mentioning the people who made it possible.
I take this opportunity to convey my deep sense of gratitude to all those who have been kind
enough to offer their advice and provide assistance when needed which has lead to the successful
completion of the project.
I would like to thank sincerely, my project guide Dr. N.S.KUMAR, Professor & Director,
Department of Civil Engineering, and Ghousia College of Engineering Ramanagaram for his
valuable timely guidance, inspiration and continuous supervision during the entire course of this
project work, and for successful completion of the same on time.
I would like to express our deep sense of gratitude and indebtedness to Dr. MOHAMED
ILYAS ANJUM, Vice-principal, Prof. & Head, Department of Civil Engineering, Ghousia
College of Engineering Ramanagaram for his constant encouragement, guidance and inspiration
which enabled us to complete this project work.
I would like to thank our principal Dr. MOHAMED HANEEF, Ghousia College of
Engineering, Ramanagaram, for his support and inspiration.
I thank all the TEACHING STAFF, SUPPORTING STAFFwho have directly or indirectly
helped us in successful completion of our project work.
DARSHAN.M.K
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ABSTRACT
Columns occupy a vital place in the Structural system. Weakness or failure of a Column
destabilizes the entire Structure. Strength and Ductility of Steel columns need to be ensured
through adequate strengthening, repair and rehabilitation techniques to maintain adequate
structural performance. Recently composite column are finding a lot of usage for seismic
resistant. In order to prevent shear failure of RC column resulting in storey collapse of buildings,
it is essential to make ductility of column larger. Recently most of the buildings utilize this
DSST concept as primary for lateral load resisting frames. The mortar used for encasing the steel
section not only enhances its strength and stiffness, but also protects it from fire damages.
In this Dissertation, Experimental work Analysis of cement mortar-steel double-skin
tubular member is carried out, with the emphasis being on its potential as key lateral and verticalload-resisting members in structures located in seismically active regions. In this new structural
member, the two constituent materials are optimally combined: the outer and inner tube is made
of steel, and the space in-between is filled with cement mortar. These members are highly useful
when they are used as columns. These members are monotonically loaded to their ultimate load
to study the behavior of DSST under increasing L/D ratio and keeping Thickness constant.
Hence, this member can be referred to Double-Skin Tubular Column (DSTC), In this
experimental programme, 57 samples have been tested.
Here, an attempt is made to study the strength of totally 57 specimens of the following
three models. As per IS: 2250-1981 (Reaffirmed 1990)-Third reprint, February 1993-Indian
Standard code of practice for preparation and use of masonry mortars, for masonry in
buildings subject to vibration of machinery, the grade of mortar shall not be less than MM 3
(Clause 7.1.4). Hence, in this dissertation work mortar grade of 1:3, 1:4 and 1:5 has been
selected as infill to fill the gap between outer and inner tubes. i.e. Double Skinned Tubes. Each
model is of three sets. One set consists of 1:3 ratio Mortar and remaining two consists of 1:4 and
1:5 ratio Mortar respectively which is filled in between the gaps of steel tubes of different
lengths and thickness. The lengths of the specimens used for study are 350mm, 450mm and
550mm of varying thickness 2.6mm, 3.2mm and 4.0mm.
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Results have been analyzed using most recent soft tool Artificial Neural Networks
[ANN].The results obtained by experiment are validated using ANN model and the errors
corresponding to the obtained practical and analytical values are tabulated and concluded.
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CONTENTS
CHAPTERS PAGE NO.
1. INTRODUCTION 1-3
1.1: General
1.2: Comparison of Different Types of Composite Columns
1.3: Ductility and Energy Dissipation Capacity
2. LITERATURE REVIEW 4-7
3. AIM AND SCOPE OF STUDY 8
4. EXPERIMENTAL PROGRAM 9-22
4.1: Preparation of Specimen
4.2: Experimental Study
4.3: Strain Gauge
4.4: Test Procedure by Using SCADA Software
4.5: Loading Scheme
5. TYPICAL RESULTS AND DISCUSSIONS 23-39
5.1: Result for Sample 1
5.2: Result for Sample 2
5.3: Tabulation of results of specimens.
5.4: Plots for Grade V/S Load
5.5: Plots for thickness v/s load
5.6: Plots for L/D V/S Load
5.7: Mathematical modeling
6. ANALYTICAL STUDIES USING ARTIFICIAL
NEURAL NETWORKS 40-51
6.1: Introduction
6.2: Artificial Neural Network
6.3. Work Flow
6.4. Prediction and Experimental Results
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7. SUMMARY AND CONCLUSIONS 52
8. RECOMMENDATIONS FOR FURTHER STUDIES 53
9. REFERENCES 54
10. JOURNAL PUBLICATION 57
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LIST OF SYMBOLS
AsSteel cross-sectional area
Am
Mortar cross-sectional area
DSST Double Skinned Steel Tube
D Diameter of circular steel tube
EmMortar modulus of elasticity
EsSteel modulus of elasticity
fyYield strength of steel
fcMortarcube strength
L Effective buckling length of column
PuUltimate axially compressive load
PuthePredicted ultimate axially compressive load
Axial Strain
Ponominal strength
A total Total cross-sectional area
Ductility
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Experimental Investigation on Double Skinned Steel Tubular (DSST) Columns Subjected to Monotonic loading
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CHAPTER-1
INTRODUCTION
1.1: GENERAL
DSST (Double Skinned Steel Tubes) Columns came into existence during early 1960.
Substantial research has been made to understand the behavior since then. The advantage of
using these DSST Columns have been found by Japanese first and employed in the
construction of multi-storied buildings effectively. Now, the analysis and Design of these
DSST Columns have found place even in Codes and Specifications. It has been envisaged to
study strength, stiffness and buckling characteristics by providing flutes to steel tube of
columns which enhances aesthesis of columns. Also, a fluted column enhances the strength
and also stiffness as the surface area of steel sheet and moment of inertia of the column
increases. The advantage of steel members having high tensile strength and ductility and
concrete members having better compressive strength have been better made use as a
composite member. Hence, it has been envisaged to check whether such a columns would act
as a slender column. Research has been in progress around the world on experimental and
analytical studies on double skinned Steel Tubular Columns for more than four decades.
Substantial contribution has been made since then in understanding the behavior of DSST
columns and to arrive at a design procedure. Quite few countries have incorporated the
design procedure in their respective codes also. Most of the researchers have considered the
contribution of geometric properties like shape, L/D ratio, t/D ratio, boundary conditions,
strength of materials and the loading conditions. It has been found that generally the failure
occurs by either local buckling or yield failure. It has been found that Euro code gives a better
design method which yields values nearer to experimental values.
Columns are considered as critical members in moment-resisting structural systems.
Their failure may lead to a partial or even a total collapse of the whole structure. Therefore, it
is important to improve the ductile deformation capacity and energy dissipation capacity of
columns so that the entire structure can endure severe ground motions and dissipate a
considerable amount of seismic energy. In recent years, double skinned steel tubes (DSSTs)
have become increasingly popular as columns in braced and unbraced frames, as they have
the advantages of ductile behavior as a result of confinement to concrete by the steel tube and
delayed local buckling of the steel tube due to the support from concrete, improved damping
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behavior in comparison to traditional steel frames, ease for construction as the steel tube
serves also as the permanent form, and a high strength-to-weight ratio. Double Skinned steel
tube (DSST) columns combine the advantages of ductility, generally associated with steel
structures, with the stiffness of a concrete structural system. The advantages of the concrete-
filled steel tube column over other composite systems include: The steel tube provides
formwork for the concrete, the concrete prolongs local buckling of the steel tube wall, the
tube prohibits excessive concrete spalling, and composite columns add significant stiffness to
a frame compared to more traditional steel frame construction. While many advantages exist,
the use of DSSTs in building construction has been limited, in part, to a lack of construction
experience, a lack of understanding of the design provisions and the complexity of
connection detailing. Consequently, a joint was needed that could utilize the favorable
strength and stiffness characteristics of the concrete-filled tube column yet be constructible.
The inner void reduces the column weight without significantly affecting the bending rigidity
of the section and allows the easy passage of service ducts but in this experiment cement
mortar has been used instead of concrete due to very less gap between the two tubes.
1.2: Comparison of Different Types of Composite Columns
1.2.1: Comparison of the Steel-mortar DSST and steel-concrete DSST
a) A more ductile response of cement as it is well confined by the steel tube which
does not buckle. The steel tube is designed to have predominantly high strength with its axial
stiffness being nearly zero; by doing so, local buckling of the tube due to axial compressive
stresses, which is a common problem for steel tubes, is unlikely to happen.
(b) No need for fire protection of the outer tubes as the outer tube is required only as a form
during construction and as a confining device and additional shear reinforcement during
earthquakes. The steel tube with negligible axial stiffness contributes little to the load
carrying capacity of the hybrid member and is not expected to affect the structural resistance
during a fire. However, the outer steel tube of a steel-concrete DSST Columns takes
considerable axial loading, and when its structural resistance is lost during a fire, the
structural safety of the column is considerably compromised.
(c) No need for corrosion protection as the steel tube inside is well protected by the concrete
and some coatings for inside steel tube.
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1.2.2: Comparison of the FRP-Steel-mortar DSST and FRP-concrete DSST
(a) Ability to support construction loading through the use of the inner steel tube. A
steel tube is superior to an FRP tube in taking construction loading, as the latter is more
susceptible to a buckling failure.
(b) Ease for connection to beam due to the presence of the inner steel tube, which enables
existing connection forms to be directly used.
(c) Savings in fire protection cost as the outer tube is required only as a form during
construction and as a confining device and additional shear reinforcement during
earthquakes.
(d) Better confinement of the concrete as a result of the increased rigidity of the inner tube.
1.3: Ductility and Energy Dissipation Capacity
Under seismic attacks, the ductility and energy dissipation capacity of a column are
the major concerns. Confinement to concrete is an effective means of improving the ductility
of a column in which concrete is a main material. It has been demonstrated by extensive
research that concrete confined by a steel tube outside can exhibit much better ductility
compared with unconfined concrete, either under monotonic loading or cyclic loading.
Extensive research on steel-confined concrete has shown that steel tube confinement to
concrete can also significantly enhance the strength and strain capacity of concrete, although
the stress-strain behavior of steel-confined concrete shown below.
Plot 1.1: stress-strain curves
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CHAPTER-2
LITERATURE REVIEW
T. Yu, Y.L. Wong and J.G. Ten[1]
Six DSTC specimens with three different configurations were prepared and tested
under concentric compression. The results are summarized below. The columns all had an
outer diameter of 152.5mm, a height of 305mm, and the same steel tube inside. They were
provided with GFRP tubes of different thicknesses outside, which had fibers only in the hoop
direction. Tensile tests on steel coupons were conducted. It was found that the steel tube had
a yield stress of 352.7MPa, an ultimate tensile strength of 380.4MPa and a Young s modulus
of 207.28GPa. The FRP tubes were prepared by the wet lay-up process; the FRP used had a
nominal thickness of 0.17mm per ply, a tensile strength of 2300MPa and a Youngs modulus
of 76GPa based on this nominal thickness according to the manufacturers data. The elastic
modulus, compressive strength and strain at peak stress of the concrete averaged from three
concrete cylinder tests (152.5mm x 305 mm) are 30.2 MPa, 39.6 MPa and 0.002628
respectively.
During the test, all specimens exhibited a smooth load-displacement curve until
failure took place, when the outer GFRP ruptured and the load began to drop. The test results
shows that, Pco is equal to the unconfined concrete strength times the area of the annular
concrete section (=543.5 kN), while Ps is equal to the average ultimate load from three axial
compression tests on hollow steel tubes (=273.8 kN). Therefore, the ultimate load of the
hybrid column is 817.3 kN if the constituent parts do not interact and the confinement effect
of the GFRP tube is negligible.
Based on the results of this study, the following conclusions were drawn within the
scope of these tests:
1) This new hybrid structural member possesses good ductility and good energy dissipation
capacity. When subjected to concentric compression, the concrete sandwiched between the
two tubes may achieve significant enhancement in both strength and ductility overunconfined concrete. According to Teng et al. (2004), the concrete in a typical hybrid DSTC
may be confined as effectively as that in an FRP-confined solid concrete cylinder.
2) The new hybrid member shows good ductility under four-point bending, although
significant cracks will occur early in the loading process. Longitudinal fibers may be required
in the outer GFRP tube if the new hybrid member is to be used to resist bending only. In
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addition, there may be a need to improve the bond between the concrete and the steel tube,
such as through the use of mechanical shear connectors to prevent possible premature slips as
observed in one of the beam tests presented in the paper.
3) Further tests, including eccentric compression tests, combined axial and cyclic lateral
loading tests and shaking table tests, should be carried out in the future to develop a more
complete understanding of the seismic performance of the new hybrid member and structural
systems based on this new member form.
Min-Lang Lin and Keh-Chyuan Tsai[2]
The purpose of this experimental study is to investigate the behavior of the double-
skinned concrete filled steel tubular (DSCFT) columns on the strength, stiffness and ductility
performance. The diameter-thickness (D/t) ratio and the hollowness ratio were chosen as
main parameters in designing the specimens. A total of 18 specimens were tested under
varied combinations of axial and flexural loads, and two specimens were tested under a
combination of constant axial load and cyclically increasing bending for comparison. Test
results concluded that the DSCFT columns can effectively provide strength and deformation
capacity even with a large D/t ratio.
Following conclusions were drawn from the above experiment,
1. Superposing the concrete and steel strength can predict the ultimate axial strength of
DSCFT Conservatively. It is illustrated that steel tube can improve the confinement of the
concrete, and the in-filled concrete can delay the occurrence of local buckling of the steel
tube with a large D/T ratio.
2. The DSCFT columns can have an optimal strength performance if the applied axial load is
less than 40% axial capacity.
3. Experimental results indicate that the behavior of DSCFT columns under cyclic loading is
as good as that under the monotonic loading.
Tao Yu, Yu-Bo Cao, Bing Zhang[3]
In total, eight identical hybrid DSTCs were tested, covering four loading schemes;
two specimens were prepared for each loading scheme. The specimens had an outer diameter
(i.e. the outer diameter of the annular concrete section) of 205.3 mm, an inner diameter (i.e.
the inner diameter of the annular concrete section and the outer diameter of the inner steel
tube) of 140.3 mm, and a height of 400 mm. The outer glass FRP (GFRP) tube had fibers in
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the hoop direction only and was formed by a wet-layup process on hardened concrete. The
nominal thickness of the two-ply FRP tube was 0.34 mm (i.e. the nominal thickness was
taken to 0.17 mm per ply) while the thickness of the steel tube was 5.3 mm.
This paper has presented a series of cyclic axial compression tests on hybrid DSTCs. Hybrid
DSTCs have been shown to be very ductile under cyclic loading and their envelope axial
load-strain curves are almost the same as the corresponding monotonic axial stress-strain
curve. It has also been shown that repeated unloading/reloading cycles have a cumulative
effect on the permanent strain and the stress deterioration of the confined concrete in hybrid
DSTCs. Interfacial slips between the steel tube and the concrete may lead to noticeable
differences in the axial strain between them when the column is fully unloaded from an axial
strain level that significantly exceeds the yield strain of the steel tube.
Lin-Hai Han, Fei-Yu Liao, Zhong Tao[4]
The authors performed a series of tests on the CFDST columns subjected to static
loading, including 37 specimens under axial compression, 13 specimens under bending and
42 specimens under eccentric compression, respectively (Han et al., 2004; Tao et al., 2004;
Tao and Han, 2006; Tao and Yu, 2006). It was found that the behaviour of the CFDST
columns is generally similar to that of the conventional CFST columns. This is owing to the
fact that, generally, the section slenderness ratio of an inner steel tube is relatively small and
it can provide sufficient support to the sandwiched concrete. Otherwise, the premature local
buckling of inner steel tubes will have adverse effects on the load-carrying and deformation
capacities of CFDST columns.
This paper briefly summarizes some recent research outcomes of CFDST members
presented by the authors and their collaborators. From the experimental and numerical
results, it can be concluded that, when the hollow ratio () of a CFDST is within the normal
range of 0-0.5, the CFDST generally demonstrates a similar behaviour as that of a CFST,
whilst the fire resistance of the CFDST is superior to that of the latter. Apart from the
research results reported in this paper, ongoing numerical study is being carried out to
analyze the post-fire behavior of CFDST columns. Repair approach will be further
recommended. The authors also believe that there is immediate research need to put forward
suitable beam-to-column connections for CFDST columns, in which the load can be
transferred and shared by the three components simultaneously.
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Zhang, B., Teng, J. G. & Yu, T[5]
The experimental program consisted of 6 hybrid DSTCs. All these specimens had a
circular section with a characteristic diameter D (the outer diameter of the annular concrete
section) of 300 mm and a void ratio of 0.73 (the ratio between the inner diameter and the
outer diameter of the annular concrete section). The inner steel tube had thickness ts of 6 mm
and an outer diameter Ds of 219 mm, leading to a Ds/ts ratio of 36.5. The outer GFRP tube
had an inner diameter of 300 mm and a thickness tfrp of 6 mm or 10 mm. The height was
1350 mm from the point of lateral loading to the top of the stiff RC column footing (4.5 times
of the column diameter).
This paper has presented the results of 6 large-scale hybrid DSTCs with HSC tested
under axial compression in combination with cyclic lateral loading. These test results suggest
that hybrid DSTCs can still show excellent ductility and seismic resistance even when high
strength concrete with a cylinder compressive strength of around 120 MPa is used.
L.Lam and J.G. Teng.[6]
In total, eight identical hybrid DSTCs were tested, covering four loading schemes;
two specimens were prepared for each loading scheme. The specimens had an outer diameter
(i.e. the outer diameter of the annular concrete section) of 205.3 mm, an inner diameter (i.e.
the inner diameter of the annular concrete section and the outer diameter of the inner steel
tube) of 140.3 mm, and a height of 400 mm. The outer glass FRP (GFRP) tube had fibers in
the hoop direction only and was formed by a wet-layup process on hardened concrete [2].
The nominal thickness of the two-ply FRP tube was 0.34 mm (i.e. the nominal thickness was
taken to 0.17 mm per ply) while the thickness of the steel tube was 5.3 mm.
This paper has presented a series of cyclic axial compression tests on hybrid DSTCs.
Hybrid DSTCs have been shown to be very ductile under cyclic loading and their envelope
axial load-strain curves are almost the same as the corresponding monotonic axial stress-
strain curve. It has also been shown that repeated unloading/reloading cycles have a
cumulative effect on the permanent strain and the stress deterioration of the confined concrete
in hybrid DSTCs. Interfacial slips between the steel tube and the concrete may lead to
noticeable differences in the axial strain between them when the column is fully unloaded
from an axial strain level that significantly exceeds the yield strain of the steel tube.
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CHAPTER-3
AIM AND SCOPE OF STUDY
As the DSST columns are a new form of structural members, no existing studies have
dealt with their behavior and design. This reports research aimed at developing a good
understanding of the structural behavior of DSST and reliable Design methods for this new
form of hybrid columns. The report is mainly concerned With DSST Columns with two
concentrically placed circular tubes filled with mortar In between, so hereafter the term new
DSST Columnsor DSST Columnsis reserved for columns with a section unless otherwise
specified.
The stress-strain behavior of the confined concrete in this new form of hybrid
Structural members is the key to understanding their structural performance. To better
understand the behavior of concrete, it is important to understand how the concrete isconfined by the two tubes in these new columns and how the Inner void and the steel tube
affect the effectiveness of confinement.
Based on the above considerations, the research work presented in this thesis was
carried out with the following five specific objectives:
1. To obtain a good understanding of the Compressive behavior of DSST through
experimental work;
2. To clarify the confinement mechanism for the mortar in DSST, through Comparative tests
of different section forms;
3. To develop the mathematical models for previous Researchers contribution;
4. To develop ANN model using Mat Lab v7.12 (R2011a).
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CHAPTER-4
EXPERIMENTAL PROGRAM.
4.1: Preparation of SpecimenFollowing are the major steps carried out to prepare the specimens-
4.1.1: Step1The Steel tubes of grade Fe-310 were cut into different lengths of 350mm, 450mm
and 550mm by using a cutting machine. The steel tubes mentioned above were of different
diameters and thickness of 21.3mm, 26.9mm, 33.7mm, 42.4mm and 2.6mm, 3.2mm, 4.0mm
respectively. The end faces of the specimen were properly machined to achieve exact
bearing.
Fig 4.1: Empty circular steel columns (before test)
4.1.2: Step2
Double skinned steel columns are achieved by selecting steel tubes of differentdiameter but of same thickness and lengths.
Fig 4.2: Double skinned empty circular steel columns (before test)
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4.1.3:Step3As per IS: 2250-1981 (Reaffirmed 1990)-Third reprint, February 1993-Indian Standard code
of practice for preparation and use of masonry mortars, for masonry in buildings subject to vibration
of machinery, the grade of mortar shall not be less than MM 3 (Clause 7.1.4). The cement mortar of
mix ratios 1:3, 1:4, 1:5 is obtained and the corresponding compressive strength of the moulds
are shown below.
Ratio Wt of cement
(grams)
Wt of
sand(grams)
Wt of the CM
cube(kg)
Compressive strength of the
mould (KN)
1:3 200 600 0.701 7.0
1:4 200 800 0.705 6.2
1:5 200 1000 0.710 5.3
Fig 4.3: cement mortar cube Fig 4.4: compressive strength testing of cube
4.1.4: Step4
The mortar mix of above said ratio are filled in between the uniform gap of double
skinned steel columns and is well compacted to keep the steel tubes intact. The steel tube
placed inside remains hollow.
Fig 4.5: double skinned tube with mortar mix and curing of samples
The specimens prepared are placed for curing for the time duration of 7 days and are tested
for their compressive strength.
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4.2: EXPERIMENTAL STUDY
4.2.1: Compression test
The compressive strength of the specimens under monotonic loading condition is
obtained using 200ton capacity monotonic loading machine.
4.2.2: Components of 200 ton loading machine
Fig 4.6: hydraulic compressive loading machine
Hydraulic press for testing load comprising Press frame; hydraulic cylinder
(dia320Xdia 250X250mm stroke). Hydraulic power pack 100 its with electric motor 5hp X
1440rpm,electrical control panel operating with PLC SCADA software,strain gauge SI -30 &
strain indicator.
4.2.3: 200 ton loading machine frame construction
The hydraulic press consists of press frame, mounting legs; hydraulic cylinder, spacers
12 nos to adjust the length of the specimen and load cell. The small amount of force can be
applied to the pump and used to compress very heavy objects. By working under Pascal s
principle the pressure in an enclosed liquid must be the same everywhere. The press frame is
2.2m height X 1m length X 1m width and the operation hydraulic cylinder is to move up and
down. Hydraulic cylinder (dia 320Xdia 250X250mm stroke) front flange mounting present in
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button of the press which is stroking up/down. The height from end of the stroke to load cell
maintains 1m including spacers of (dia250X55) 12 nos. the spacers provided to fix the
specimen according to the length. Load cell which present in the top of the press frame
connected to electrical control panel which gives the reading of tonnage of hydraulic press
when the cylinder is in loaded condition.
4.2.4: 200 ton loading machine PACK
Pump flow: 6.2 lpm
Electric motor: 5HP X 1440rpm,3dia,415V & 50 Hz
The system employs with radial piston pump drawing oil from tank through suction
strainer. The pump is coupled with electric motor of 5HP. The proportional pressure relief
valve is used to set the system pressure to maintain the same pressure in the entire hydraulic
system. The solenoid operated direction valves employed to lift the hydraulic cylinder to up
and down. The corresponding voltages are given to the relief valve to get the appropriate
load. The voltage can be varied from (0-10v). air blast oil cooler will reduce the heat
generated in the oil tank and pressure filter will remove the dirts from the oil.
4.2.5: PLC Electrical Control Panel Using SCADA
Power supply: 415v
Phase: 3dia
Frequency: 50Hz
Input current: 5 amps
Electrical control panel is accommodated to lift up and down the cylinder using
hydraulic power pack. There are two separate operation Auto and manual present in the
control panel. Separate push buttons are provided for both the operations. When the specimen
is kept and pressure is applied for corresponding load the values can noticed in the control
panel. When the recipe is given the strain readings can be monitored in the indicator. Batch &
data wise reports can be generated using SCADA software and by the reading the stress v/s
strain, load v/s deflection, load v/s strain graph can be plotted.
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4.3: Strain Gauge
The strain gauge with constant wire resistor is fixed on the specimen. The suitable
bonding is to be and the lead is connected to the strain indicator to absorb the reading. The
both full & half bridge circuit can be permitted from the above strain gauge. SYSCON make
strain accept signals from all type of strain gauges. Different type of gauge factors can be
connected right away with the instruments and measurements can be made without any
inaccuracy. Different types of strain values can be calculated while the specimen gets
compressed.
4.4: Test Procedure by Using SCADA Software
1.
Start SCADA in computer,
2. On desktop click on SCADA link, sure that machine should be in Auto Mode.
3. It will directly go to the run mode and the main process screen will open.
Fig 4.7: main menu of SCADA
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4. Now click on Recipe Button, one Pop up will appear select any the desired recipe and
press ok.
Fig 4.8: recipe of SCADA
5.
By clicking OK button one recipe screen will open which contain different parameters to
be filled by user as per the requirement.
6. If the user wants to edit some parameters in the recipe, user can make changes, after that
just press EDIT Button. This recipe contains 50 segments; user can access these by
pressing Next Button.
7. If the user wants to create new recipe just press NEW button and fill the required
parameters and save it.
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Fig 4.9: No. of segments in SCADA and loading condition
8. After filling the required parameters in recipe just press Load button, one popup will come
for conformation just press ok. Your recipe will be loaded to the PLC.
9. Just press exit to come on main process screen.
10.Fix the material in the machine. Now in SCADA just check Load (K-N) in Machine
Status. There will be some value just put the same value in Load Correction Factor.
11.Now press start button, one popup will appear. Fill the Batch No and Log interval and
Press Ok.
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12. Batches will Start Running and the Process will be as per the recipe program, after the
particular time duration the process will be completed and one conformation popup will
appear.
Fig 4.10: starting of recipe and loading
13.For Report just click on Excel-Report select the desired Batch No in the popup and press
Batch Report button, the report will open in excel sheet format simply save it.
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Fig 4.11: Result obtained form SCADA
14.
For Trend reports click on Trend button, and select the required trend i.e. Stress v/sMeasured Strain, Stress v/s Calculated Strain and Load v/s Deflection.
15.After selecting the required trend just click on plot and select the required Batch no and
press Ok, the trend will be plotted on the graph. Press Print Button to get the Print of
graph.
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Fig 4.12: Screen shot of SCADA-Main Menu
16.To retrieve the previous data trend click on Trend button, and select Real History
trend.
17.Now in the Real History Trend Just click on Select Group and select the required
group from popup.
18.
Just Click on pause button and in the right hand side corner select the required
batch no and select the ENTER DATE/BATCH button. Press ok trend will appear for
the selected Batch No.
19.To save this trend click on save button and save the trend.
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Fig 4.13: History Trend
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4.5: Loading Scheme
Fig 4.14: axial loading
Here all the samples were monotonically loaded .monotonic compression involving
full reloading cycles have been conducted , where the reloading of each cycle was designed
to terminate at the loading displacement of the previous cycle) or after reaching the envelope
curve figure shows the loading scheme as shown below.
Fig 4.15: Setup for Monotonic loading condition
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Fig 4.16: Picture taken during the test
Fig 4.17: Double skinned specimen at the end of test
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Fig 4.18: No. of Double skinned specimen after test
Fig 4.18(a) Fig 4.18(b) Fig 4.18(c)
COMMENTS:Fig 4.18(a) shows failure at mid height. Primary buckling as occurred due to
axial compressive loading.
Fig 4.18(b) shows failure at 1/3th height from the bottom of the loading platform whereas
Fig 4.18(c) shows failure bulging and twisting at 1/4th
length from top and bottom supports.
In these specimens, local buckling of steel was delayed due double skinned and mortar infill.
As grade of mortar increase buckling occurred before yielding of steel.
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CHAPTER-5
TYPICAL RESULTS AND DISCUSSION
5.1: Result for Sample 1 (1:3 ratio, 450mm length, 2.6mm thick)
Table 5.1: output obtained from the SCADA
Date TimeSegment
Number
Load (K-
N)Area
Stress
PV
Original
Length
(MM)
Measure
d length
(MM)
Changein
Length
(
Defelctio
n)
Measure
d Strain
Calculat
ed Strain
20/04/2013 15:52:27 1 14 892 0.02 450.00 74.33 524.00 1.77 116.44
20/04/2013 15:52:28 1 15 892 0.02 450.00 74.33 524.81 1.77 116.54
20/04/2013 15:52:29 1 15 892 0.02 450.00 74.33 524.81 1.77 116.54
20/04/2013 15:52:30 1 14 892 0.02 450.00 75.60 524.81 1.77 116.82
20/04/2013 15:52:31 1 14 892 0.02 450.00 75.60 526.10 1.77 116.82
20/04/2013 15:52:32 1 16 892 0.02 450.00 76.88 526.10 1.77 117.10
20/04/2013 15:52:33 1 16 892 0.02 450.00 76.88 527.35 1.77 117.10
20/04/2013 15:52:34 2 16 892 0.02 450.00 78.06 527.35 1.77 117.10
20/04/2013 15:52:35 2 25 892 0.03 450.00 78.06 528.50 1.77 117.37
20/04/2013 15:52:36 2 25 892 0.03 450.00 78.06 528.50 1.77 117.37
20/04/2013 15:52:37 2 38 892 0.04 450.00 79.17 528.50 1.77 117.61
20/04/2013 15:52:38 2 38 892 0.04 450.00 79.17 529.60 1.77 117.61
20/04/2013 15:52:39 2 48 892 0.04 450.00 80.27 529.60 1.77 117.86
20/04/2013 15:52:40 2 48 892 0.06 450.00 80.27 530.69 1.77 117.86
20/04/2013 15:52:41 3 48 892 0.06 450.00 81.39 530.69 1.77 117.86
20/04/2013 15:52:42 3 59 892 0.07 450.00 81.39 531.81 1.77 118.10
20/04/2013 15:52:43 3 59 892 0.07 450.00 81.39 531.81 1.77 118.10
20/04/2013 15:52:44 3 67 892 0.08 450.00 82.47 531.81 1.77 118.35
20/04/2013 15:52:45 4 67 892 0.08 450.00 82.47 532.88 1.77 118.35
20/04/2013 15:52:46 4 85 892 0.08 450.00 83.50 532.88 1.77 118.57
20/04/2013 15:52:47 4 85 892 0.10 450.00 83.50 533.78 1.77 118.57
20/04/2013 15:52:48 4 85 892 0.10 450.00 83.91 533.78 1.77 118.65
20/04/2013 15:52:49 4 98 892 0.11 450.00 83.91 533.93 1.77 118.65
20/04/2013 15:52:51 5 98 892 0.11 450.00 83.91 533.93 1.77 118.65
20/04/2013 15:52:52 5 99 892 0.11 450.00 83.97 533.99 1.77 118.66
20/04/2013 15:52:53 6 99 892 0.11 450.00 83.97 533.99 1.77 118.66
20/04/2013 15:52:54 6 100 892 0.11 450.00 84.02 533.99 1.77 118.6720/04/2013 15:52:55 6 100 892 0.11 450.00 84.02 534.05 1.77 118.67
20/04/2013 15:52:56 6 100 892 0.11 450.00 84.10 534.05 1.77 118.69
20/04/2013 15:52:57 6 102 892 0.11 450.00 84.10 534.13 1.77 118.69
20/04/2013 15:52:58 7 102 892 0.11 450.00 84.10 534.13 1.77 118.69
20/04/2013 15:52:59 7 105 892 0.12 450.00 84.26 534.34 1.77 118.73
20/04/2013 15:53:00 7 105 892 0.12 450.00 84.26 534.34 1.77 118.73
20/04/2013 15:53:01 7 107 892 0.12 450.00 84.44 534.34 1.77 118.77
20/04/2013 15:53:02 7 107 892 0.12 450.00 84.44 534.58 1.77 118.77
20/04/2013 15:53:03 8 107 892 0.12 450.00 84.86 534.58 1.77 118.87
20/04/2013 15:53:04 8 110 892 0.12 450.00 84.86 535.02 1.77 118.87
20/04/2013 15:53:05 9 110 892 0.12 450.00 84.86 535.02 1.77 118.87
20/04/2013 15:53:06 9 111 892 0.13 450.00 85.43 535.84 1.77 119.00
20/04/2013 15:53:07 9 111 892 0.13 450.00 85.43 535.84 1.77 119.00
20/04/2013 15:53:08 9 108 892 0.12 450.00 86.52 535.84 1.77 119.24
20/04/2013 15:53:09 9 108 892 0.12 450.00 86.52 536.95 1.77 119.24
20/04/2013 15:53:10 9 108 892 0.12 450.00 87.65 536.95 1.77 119.50
20/04/2013 15:53:11 9 96 892 0.11 450.00 87.65 538.10 1.77 119.50
20/04/2013 15:53:12 9 96 892 0.11 450.00 88.82 538.10 1.77 119.50
20/04/2013 15:53:13 9 83 892 0.09 450.00 88.82 539.29 1.77 119.76
20/04/2013 15:53:14 10 83 892 0.09 450.00 88.82 539.29 1.77 119.76
20/04/2013 15:53:15 10 66 892 0.07 450.00 90.05 539.29 1.77 120.03
20/04/2013 15:53:16 10 66 892 0.07 450.00 90.05 540.54 1.77 120.03
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5.2: Result for Sample 2 (1:3 ratio, 550mm length, 2.6mm thick)
Table 5.2: output obtained from the SCADA
Date TimeSegment
Number
Load (K-
N)Area
Stress
PV
Original
Length
(MM)
Measure
d length
(MM)
Change
in
Length
(
Defelctio
n)
Measure
d Strain
Calculat
ed Strain
20/04/2013 16:03:25 1 5 892 0.01 550.00 74.24 624. 00 1.77 113. 51
20/04/2013 16:03:26 1 5 892 0.01 550.00 74.24 624. 74 1.77 113. 51
20/04/2013 16:03:27 1 5 892 0.01 550.00 74.24 624. 74 1.77 113. 51
20/04/2013 16:03:28 1 7 892 0.01 550.00 75.52 625. 99 1.77 113. 75
20/04/2013 16:03:29 1 7 892 0.01 550.00 75.52 625. 99 1.77 113. 75
20/04/2013 16:03:30 1 19 892 0.03 550.00 76.64 625. 99 1.77 113. 95
20/04/2013 16:03:31 1 19 892 0.03 550.00 76.64 627. 02 1.77 113. 95
20/04/2013 16:03:32 1 19 892 0.03 550.00 77.64 627. 02 1.77 114. 13
20/04/2013 16:03:33 1 50 892 0.06 550.00 77.64 628. 01 1.77 114. 13
20/04/2013 16:03:34 2 50 892 0.06 550.00 77.64 628. 01 1.77 114. 13
20/04/2013 16:03:35 2 73 892 0.08 550.00 78.23 628. 27 1.77 114. 23
20/04/2013 16:03:36 2 73 892 0.08 550.00 78.23 628. 27 1.77 114. 23
20/04/2013 16:03:37 2 75 892 0.08 550.00 78.29 628. 27 1.77 114. 24
20/04/2013 16:03:38 3 75 892 0.08 550.00 78.29 628. 33 1.77 114. 24
20/04/2013 16:03:39 3 82 892 0.08 550.00 78.74 628. 33 1.77 114. 33
20/04/2013 16:03:40 3 82 892 0.10 550.00 78.74 628. 93 1.77 114. 33
20/04/2013 16:03:41 3 82 892 0.10 550.00 79.12 628. 93 1.77 114. 33
20/04/2013 16:03:42 3 91 892 0.10 550.00 79.12 629. 21 1.77 114. 39
20/04/2013 16:03:43 4 91 892 0.10 550.00 79.12 629. 21 1.77 114. 39
20/04/2013 16:03:44 4 95 892 0.11 550.00 79.45 629. 21 1.77 114. 45
20/04/2013 16:03:46 4 95 892 0.11 550.00 79.45 629. 58 1.77 114. 45
20/04/2013 16:03:47 4 98 892 0.11 550.00 79.70 629. 58 1.77 114. 49
20/04/2013 16:03:48 4 98 892 0.11 550.00 79.70 629. 78 1.77 114. 49
20/04/2013 16:03:49 5 98 892 0.11 550.00 79.91 629. 78 1.77 114. 49
20/04/2013 16:03:50 5 100 892 0.11 550.00 79.91 629. 98 1.77 114. 53
20/04/2013 16:03:51 6 100 892 0.11 550.00 79.91 629. 98 1.77 114. 53
20/04/2013 16:03:52 6 102 892 0.11 550.00 80.12 629. 98 1.77 114. 57
20/04/2013 16:03:53 6 102 892 0.11 550.00 80.12 630. 26 1.77 114. 57
20/04/2013 16:03:54 6 103 892 0.11 550.00 80.54 630. 26 1.77 114. 65
20/04/2013 16:03:55 6 103 892 0.12 550.00 80.54 630. 74 1.77 114. 65
20/04/2013 16:03:56 7 103 892 0.12 550.00 81.23 630. 74 1.77 114. 65
20/04/2013 16:03:57 7 104 892 0.12 550.00 81.23 631. 58 1.77 114. 78
20/04/2013 16:03:58 7 104 892 0.12 550.00 81.23 631. 58 1.77 114. 78
20/04/2013 16:03:59 7 99 892 0.11 550.00 82.26 631. 58 1.77 114. 97
20/04/2013 16:04:00 8 99 892 0.11 550.00 82.26 632. 69 1.77 114. 97
20/04/2013 16:04:01 8 88 892 0.11 550.00 83.40 632. 69 1.77 115. 18
20/04/2013 16:04:02 8 88 892 0.10 550.00 83.40 633. 86 1.77 115. 18
20/04/2013 16:04:03 9 88 892 0.10 550.00 84.60 633. 86 1.77 115. 40
20/04/2013 16:04:04 9 73 892 0.08 550.00 84.60 635. 09 1.77 115. 40
20/04/2013 16:04:05 9 73 892 0.08 550.00 84.60 635. 09 1.77 115. 40
20/04/2013 16:04:06 9 61 892 0.07 550.00 85.86 635. 09 1.77 115. 63
20/04/2013 16:04:07 9 61 892 0.07 550.00 85.86 636. 36 1.77 115. 63
20/04/2013 16:04:08 9 48 892 0.07 550.00 87.16 636. 36 1.77 115. 87
20/04/2013 16:04:09 9 48 892 0.05 550.00 87.16 637. 65 1.77 115. 87
20/04/2013 16:04:10 9 48 892 0.05 550.00 88.47 637. 65 1.77 116. 10
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Plot 5.1: load v/s deflection
Plot 5.2: load v/s deflection
COMMENTS:As deflection increased it can be observed from plot 5.1 and plot 5.2 it can be
observed load reached its peak value and suddenly decreased may be due to formation of
plastic hinges and internal crushing of the inner tube. Also sample1 give more strength when
compared with sample2 due its change in length.Similarly the results obtained from SCADA are tabulated below for their respective
ultimate load and deflection.
0
20
40
60
80
100
120
520.00 525.00 530.00 535.00 540.00 545.00
Load
(KN)
Deflection (mm)
LOAD v/s DEFLECTION
LOAD v/s
DEFLECTION
0
20
40
60
80
100
120
620.00 625.00 630.00 635.00 640.00
Load
(KN)
Deflection (mm)
LOAD v/s DEFLECTION
LOADv/s DEFLECTION
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5.3: Tabulation of results of specimens.
grade of mortarsection properties (mm)
material
propertiesutimate axial
load
(experimental)
deflection
(mm)
D T L fc fy
1:3
33.7 2.6 350 7.0 310 123 424
42.4 2.6 350 7.0 310 133 425.23
42.4 2.6 350 7.0 310 139 57.74
33.7 2.6 450 7.0 310 111 535.84
42.2 2.6 450 7.0 310 124 531.86
42.4 2.6 450 7.0 310 135 530.74
33.7 2.6 550 7.0 310 104 631.58
42.4 2.6 550 7.0 310 119 624.01
42.4 2.6 550 7.0 310 120 292.8
33.7 3.2 350 7.0 310 165 498.2342.4 3.2 350 7.0 310 218 442.16
42.4 3.2 350 7.0 310 198 437.45
33.7 3.2 450 7.0 310 150 119.12
42.2 3.2 450 7.0 310 215 478.68
42.4 3.2 450 7.0 310 193 630.76
33.7 3.2 550 7.0 310 115 567.56
42.4 3.2 550 7.0 310 200 354.16
42.4 3.2 550 7.0 310 189 487.44
42.4 4.0 350 7.0 310 243 411.24
1:4
33.7 2.6 350 6.2 310 112 433.94
42.4 2.6 350 6.2 310 129 430.63
42.4 2.6 350 6.2 310 134 431.76
33.7 2.6 450 6.2 310 105 411.56
42.2 2.6 450 6.2 310 121 511.33
42.4 2.6 450 6.2 310 131 498.34
33.7 2.6 550 6.2 310 98 543.17
42.4 2.6 550 6.2 310 118 611.23
42.4 2.6 550 6.2 310 120 277.3
33.7 3.2 350 6.2 310 173 432.01
42.4 3.2 350 6.2 310 214 431.66
42.4 3.2 350 6.2 310 183 432.33
33.7 3.2 450 6.2 310 166 133.76
42.2 3.2 450 6.2 310 207 478.38
42.4 3.2 450 6.2 310 176 567.55
33.7 3.2 550 6.2 310 159 634.01
42.4 3.2 550 6.2 310 194 347.77
42.4 3.2 550 6.2 310 171 478.09
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42.4 4.0 350 6.2 310 219 423.9
1:5
33.7 2.6 350 5.3 310 116 431.04
42.4 2.6 350 5.3 310 143 429.87
42.4 2.6 350 5.3 310 147 436.53
33.7 2.6 450 5.3 310 110 402.25
42.2 2.6 450 5.3 310 118 496.5442.4 2.6 450 5.3 310 126 477.13
33.7 2.6 550 5.3 310 94 511.04
42.4 2.6 550 5.3 310 113 578.36
42.4 2.6 550 5.3 310 117 435
33.7 3.2 350 5.3 310 158 434.27
42.4 3.2 350 5.3 310 217 430.06
42.4 3.2 350 5.3 310 177 248.45
33.7 3.2 450 5.3 310 142 109.38
42.2 3.2 450 5.3 310 191 456.76
42.4 3.2 450 5.3 310 164 523.23
33.7 3.2 550 5.3 310 123 498.34
42.4 3.2 550 5.3 310 183 375.85
42.4 3.2 550 5.3 310 157 411.44
42.4 4.0 350 5.3 310 215 411.65
Table 5.3: output obtained from the SCADA
5.4: Plots for Grade V/S Load
5.4.1: plot for 2.6mm thick, 350mm length
Table 5.4 Plot 5.3: 2.6mm thick, 350mm length
0
20
40
60
80
100
120
140
160
1:3 1:3 1:3 1:4 1:4 1:4 1:5 1:5 1:5
GRADE V/S LOAD
LOAD
GRADE
(X)
LOAD
(y)
1:3 123
1:3 133
1:3 139
1:4 112
1:4 129
1:4 134
1:5 116
1:5 143
1:5 147
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5.4.2: plot for 2.6mm thick, 450mm length
Table 5.5 Plot 5.4: 2.6mm thick, 450mm length
5.4.3: plot for 2.6mm thick, 550mm length
Table 5.6 Plot 5.5: 2.6mm thick, 550mm length
0
20
40
60
80
100
120
140
160
1:3 1:3 1:3 1:4 1:4 1:4 1:5 1:5 1:5
GRADE V/S LOAD
LOAD
0
20
40
60
80
100
120
140
1:3 1:3 1:3 1:4 1:4 1:4 1:5 1:5 1:5
GRADE V/S LOAD
LOAD
GRADE
(X)
LOAD
(Y)
1:3 111
1:3 124
1:3 135
1:4 105
1:4 121
1:4 131
1:5 110
1:5 118
1:5 126
GRADE(x) LOAD(y)
1:3 104
1:3 119
1:3 120
1:4 98
1:4 118
1:4 120
1:5 94
1:5 113
1:5 117
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5.4.4: plot for 3.2mm thick, 350mm length
Table 5.7 plot 5.6: 3.2mm thick, 350mm length
5.4.5: plot for 3.2mm thick, 450mm length
Table 5.8 plot 5.7: 3.2mm thick, 450mm length
0
50
100
150
200
250
1:3 1:3 1:3 1:4 1:4 1:4 1:5 1:5 1:5
GRADE V/S LOAD
LOAD
0
50
100
150
200
250
1:3 1:3 1:3 1:4 1:4 1:4 1:5 1:5 1:5
GRADE V/S LOAD
LOAD
GRADE(X) LOAD(Y)
1:3 165
1:3 218
1:3 198
1:4 173
1:4 214
1:4 183
1:5 158
1:5 217
1:5 177
GRADE
(X)
LOAD
(Y)
1:3 150
1:3 215
1:3 193
1:4 166
1:4 207
1:4 176
1:5 142
1:5 191
1:5 164
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5.4.6: plot for 3.2mm thick, 550mm length
Table 5.9 plot 5.8: 3.2mm thick, 550mm length
5.4.7: plot for 4.0mm thick, 350mm length
Table 5.10 plot 5.9: 4.0mm thick, 350mm length
0
50
100
150
200
250
1:3 1:3 1:3 1:4 1:4 1:4 1:5 1:5 1:5
GRADE V/S LOAD
LOAD
200
205
210
215
220
225
230
235
240
245
250
1:3 1:4 1:5
GRADE v/s LOAD
LOAD
GRADE(X) LOAD(Y)
1:3 115
1:3 200
1:3 189
1:4 159
1:4 194
1:4 171
1:5 123
1:5 183
1:5 157
GRADE
(X)
LOAD
(Y)
1:3 243
1:4 219
1:5 215
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5.5: Plots for thickness v/s load
5.5.1: plot for thickness v/s load of 1:3 ratios
Table 5.11
Plot 5.10: thickness v/s load of 1:3 ratios
5.5.2: plot for thickness v/s load of 1:4 ratios
thick 350 450 550
2.6 112 105 98
2.6 129 121 118
2.6 134 131 120
3.2 173 166 159
3.2 214 207 194
3.2 183 176 171
Table 5.12
0
50
100
150
200
250
300
2.6 2.6 2.6 3.2 3.2 3.2 4.0 4.0 4.0
THICKNESS V/S LOAD
Series1
Series2
Series3
thick 350 450 550
2.6 123 111 1052.6 133 124 119
2.6 139 135 120
3.2 165 150 115
3.2 218 215 200
3.2 198 193 189
4.0 243
4.0 219
4.0 215
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Plot 5.11: thickness v/s load of 1:4 ratios
5.5.3: plot for thickness v/s load of 1:5 ratios
thick 350 450 550
2.6 116 110 94
2.6 143 118 113
2.6 147 126 117
3.2 158 142 123
3.2 217 191 183
3.2 177.0 164 157
Table 5.13
Plot 5.12: thickness v/s load of 1:5 ratios
0
50
100
150
200
250
2.6 2.6 2.6 3.2 3.2 3.2
Series1
Series2
Series3
0
50
100
150
200
250
2.6 2.6 2.6 3.2 3.2 3.2
THICKNESS V/S LOAD
Series1
Series2
Series3
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5.6: PLOTS FOR L/D V/S LOAD
5.6.1: Plot for 1:3 ratio, 2.6 mm thick
length L/D ratio
LOAD in
KN
350 10.38 123
1:3
ratio,
2.6
mm
thick
350 8.25 133
350 8.25 139
450 13.35 111
450 10.61 124
450 10.61 135
550 16.32 104
550 12.97 119
550 12.97 120
Table 5.14
Plot 5.13: 1:3 ratio, 2.6 mm thick
5.6.2: Plot for 1:4 ratio, 2.6 mm thick
length L/D ratio LOAD in KN
350 10.38 112
1:4
ratio,2.6mm
thick
350 8.25 129
350 8.25 134
450 13.35 105
450 10.61 121
450 10.61 131
550 16.32 98
550 12.97 118
550 12.97 120
Table 5.15
0
20
40
60
80
100
120
140
160
10.38 8.25 8.25 13.35 10.61 10.61 16.32 12.97 12.97
Load
(KN)
L/D ratio
L/D v/s LOAD
L/D v/s
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Plot 5.14: 1:4 ratio, 2.6 mm thick
5.6.3: Plot for 1:5 ratio, 2.6 mm thick
length L/D ratio LOAD in KN
350 10.38 116
1:5
ratio ,
2.6 mm
thick
350 8.25 143
350 8.25 147
450 13.35 110
450 10.61 118
450 10.61 126
550 16.32 94
550 12.97 113
550 12.97 117
Table 5.16
Plot 5.15: 1:5 ratio, 2.6 mm thick
0
20
40
60
80
100
120
140
160
Load
(KN)
L/D ratio
L/D v/s LOAD
L/D v/s LOAd
0
50
100
150
200
Load
(KN)
L/D ratio
L/D v/s LOAD
L/D v/s LOAd
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5.6.4: Plot for 1:3 ratio, 3.2 mm thick
length L/D ratio LOAD in KN
350 10.38 165
1:3ratio,3.2 mm
thick
350 8.25 218
350 8.25 198
450 13.35 150450 10.61 215
450 10.61 193
550 16.32 115
550 12.97 200
550 12.97 189
Table 5.17
Plot 5.16: 1:3 ratio, 3.2 mm thick
5.6.5: Plot for 1:4 ratio, 3.2 mm thick
1:4ratio,
3.2mm
thick
length L/D ratio LOAD in KN
350 10.38 173
350 8.25 214
350 8.25 183
450 13.35 166
450 10.61 207
450 10.61 176
550 16.32 159
550 12.97 194
550 12.97 171
Table 5.18
0
50
100
150
200
250
10.38 8.25 8.25 13.35 10.61 10.61 16.32 12.97 12.97
Load
(KN)
L/D ratio
L/D v/s LOAD
L/D v/s LOAd
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Plot 5.17: 1:4 ratio, 3.2 mm thick
5.6.6: Plot for 1:5 ratio, 3.2 mm thick
1:5ratio,
3.2 mm
thick
length L/D ratio LOAD in KN
350 10.38 158
350 8.25 217
350 8.25 177
450 13.35 142
450 10.61 191
450 10.61 164
550 16.32 123
550 12.97 183
550 12.97 157Table 5.19
Plot 5.18: 1:5 ratio, 3.2 mm thick
0
50
100
150
200
250
10.38 8.25 8.25 13.35 10.61 10.61 16.32 12.97 12.97
Load
(KN
)
L/D ratio
L/D v/s LOAD
L/D v/s LOAd
0
50
100
150
200
250
10.38 8.25 8.25 13.35 10.61 10.61 16.32 12.97 12.97
Load
(KN)
L/D ratio
L/D v/s LOAD
L/D v/s LOAd
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5.7: MATHEMATICAL MODELLING
5.7.1: To find the strength capacity of mortar filled steel Tubes (Inline with Research
paper-Min-Lang Lin and Keh-Chyuan Tsai[2]
)
The strength capacity Puof a specimen is defined as the peak value of the axial loads
observed in the axial load-strain curve. The corresponding strain is denoted as pe . The value
of Pois the nominal strength given by Euro code 4:
Po=Asf yt+Amf c (1)
Where As and Am are the cross-sectional areas of the steel and mortar section,
respectively. Thef ytandf care the yield strength of the steel tube and the actual compressive
strength of the mortar. Equation 1 differs from the AIJ specifications where a reduction factor
of 0.85 for the core mortar is not considered herein. It is observed that all values of Pu/ Po
observed lesser than 1.0 but not too significantly. Thus, it appears that Euro code 4 can
conservatively predict the ultimate axial strength of a DSST.
Specimen
(samples)
Pu
(kN)
Po(kN) Pu/Po
(kN)
p
(%)
Ecomp
(Mpa)
Ethe
(Mpa)
E comp/E
the
95
DS-
2.6mm,
450length
111 267.16
6
0.41 0.58 17745.87 200137.5
7
0.08 0.95
DS-
2.6mm,
450length
104 267.16
6
0.38 0.61 18927.49 200137.5
7
0.09 0.95
Table 5.20: Results of axial loading test
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Figure shows the typical axial load v/s axial strain and axial ductility definition
5.7.2: Stiffness
The initial stiffness E compof a composite member is defined as the averaged initial slope of
an axial load-strain curve. It is calculated from its linear recurrence within the range of 0.05%
to 0.10% axial deformation, divided by the cross-sectional area total A of the composite
member. The theoretical stiffness, according to the theory of superposition can be expressed
as:
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E the= (A sE s+ A c E c)/A total (2)
The values of Ecomp/Etheof all specimens are listed in Table. Apparently, the values of the
E comp/Ethe computed from Equation 2.seriously overestimates the stiffness of the specimen.
5.7.2: Axial Ductility
In this study, the axial ductility is defined as:
95= 95/y (3)
y=
75/ 0.75 (4)
Where 75and 95shown in above graph are the axial strains corresponding to the
75% and 95% of the peak axial load before and after the peak load was achieved,
respectively. Because the yielding point of a specimen is difficult to identify from the axial
load versus strain curve, the idealized yield strain yis extrapolated from 75 From Table.,
from above graph it is observed that all the specimens have similar performance in axial
ductility. The ductility value of the DSST specimen is slightly lesser than the another
specimens. That is, the strength degrading of the DSST specimen is slightly slower than the
another specimens, but not significantly. When a 0.03 axial strain is reached, all the
specimens can still retain more than 50% of its peak strength.
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CHAPTER-6
ANALYTICAL STUDIES USING ARTIFICIAL NEURAL
NETWORKS
6.1: Introduction
Columns occupy a vital place in the structural system. Weakness or failure of a
column destabilizes the entire structure. Strength & ductility of steel columns need to be
ensured through adequate strengthening, repair & rehabilitation techniques to maintain
adequate structural performance. Recently, composite columns are finding a lot of usage for
seismic resistance. In order to prevent shear failure of RC column resulting in storey collapse
of buildings, it is essential to make ductility of column larger. Recently, most of the buildings
utilize this CFT concept as primary for lateral load resisting frames. The concrete used for
encasing the structural steel section not only enhance its strength and stiffness, but also protects
it from fire damages. Recycled aggregate concrete is used as an infill in order to achieve
economy.
One way of including specimen irregularities in the model is to use the results of the
available experiments to predict the behavior of composite tubes subjected to different
loading. ANN is a technique that uses existing experimental data to predict the behavior of
the same material under different testing conditions. Using this method, details regarding
bonding properties between fiber and matrix, strength variation of fibers and any
manufacturing induced imperfections are implicitly incorporated within the input
parameters fed to neural network.
In the current work, the prediction of the load-carrying capacities for axially-loaded
rectangular composite tubes is evaluated using ANN. To test the validity of using ANN in
determining the crushing behavior of these tubes, the study will compare the predictions
obtained to the experimental results using the neural network tool in MATLAB v7.12
(R2011a).
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6.2: Artificial Neural Network
Figure shows the Neural Network
6.2.1: Introduction
ANN have emerged as a useful concept from the field of artificial intelligence, and
has been used successfully over the past decade in modeling engineering problems in general,
and specifically those relating to the mechanism behavior of fiber- reinforced composite
materials.
ANN generally consists of a number of layers: the layer where the patterns are applied
is called input layer. This layer could typically include the properties of the composite
material under consideration, its layup, the applied load, the tube aspect ratio etc. The layer
where the output is obtained is the output layer which could, for example, contain the
resulting deformation of this tube under the given loading conditions. In addition, there may
be one or more layers between the input and output layers called hidden layers, which are so
named because their outputs are not directly observable. The addition of hidden layers
enables the network to extract high-order statistics which are particularly valuable when the
size of the input is very large. Neurons in each layer are interconnected to preceding and
subsequent layer neurons with each interconnection having an associated weight.
A training algorithm is commonly used to iteratively minimize a cost function with
respect to the interconnection weights and neuron thresholds. The training process is
terminated either when the mean square error (MSE) between the observed data and the ANN
outcomes for all elements in the training set has reached a pre-specified threshold or after the
completion of a pre-specified number of learning epochs [1-4].
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6.2.2 KolmogorovsTheorem
! Any continuous real-valued functions f (x1, x2, ..., xn) defined on [0, 1]n, , can be
represented in the form
f(x1, x2, ..., xn) =
where the gj's are properly chosen continuous functions of one variable, and the ij'sare continuous monotonically increasing functions independent of f.
Fig1: Block diagram of feed forward network
Given any function yxRImn
"# )(,: !! , where I is the closed unit interval [0,1],
can be implemented exactly by a three layer neural network with n input nodes, 2n+1 hidden
layer neurons and m output layer neurons, as represented in fig.1.
6.2.3 Multilayer Neural Network Architecture
6.2.3.1 Neuron Model
An elementary neuron with R inputs is shown below. Each input is weighted with an
appropriate w. The sum of the weighted inputs and the bias forms the input to the transfer
function f. Neurons can use any differentiable transfer function f to generate their output.
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Dept. of Civil Engg, GCE, Ram
Fig
Multilayer networks reptansig is shown. Sigmoid outp
while linear output neurons ar
function purelin as shown in fig.
kinned Steel Tubular (DSST) Columns Subjected to Mo
nagaram
.2a
Fig.2b:Neuron model
esented in fig.2a, can use the an-sigmoid tra t neurons are often used for pattern recogniti
e used for function fitting problems. The li
2b.
notonic loading
Page 43
sfer functionon problems,
near transfer
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6.2.4 Train the Network
Once the network weights and biases are initialized, the network is ready for training.
The multilayer feedforward network can be trained for function approximation (nonlinear
regression) or pattern recognition. The training process requires a set of examples of proper
network behaviornetwork inputs p and target outputs t.
The process of training a neural network involves tuning the values of the weights and
biases of the network to optimize network performance, as defined by the network
performance function net.performFcn. The default performance function for feedforward
networks is mean square error msethe average squared error between the network outputs a
and the target outputs t. It is defined as follows:
There are two different ways in which training can be implemented: incremental
mode and batch mode. In incremental mode, the gradient is computed and the weights are
updated after each input is applied to the network. In batch mode, all the inputs in the training
set are applied to the network before the weights are updated. This chapter describes batchmode training with the train command. Incremental training with the adapt command is
discussed in Incremental Training with adapt and in Adaptive Filters and Adaptive Training.
For most problems, when using the Neural Network Toolbox software, batch training is
significantly faster and produces smaller errors than incremental training.
For training multilayer feed forward networks, any standard numerical optimization
algorithm can be used to optimize the performance function, but there are a few key ones that
have shown excellent performance for neural network training.
These optimization methods use either the gradient of the network performance withrespect to the network weights, or the Jacobian of the network errors with respect to the
weights.
The gradient and the Jacobian are calculated using a technique called the back
propagation algorithm, which involves performing computations backward through the
network. The back propagation computation is derived using the chain rule of calculus.
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6.2.5 Network Properties
The network type is feed forward back propagation. The training function is
levenberg-marquardt algorithm. The performance function is mean square error. The transfer
function is tan-sigmoidal and purelin.
6.3. Work Flow
The work flow for the general neural network design process has seven primary steps:
1. Collect data
2. Create the network
3.
Configure the network
4. Initialize the weights and biases
5. Train the network
6.
Validate the network (post-training analysis)
7.
Use the network
6.4. Prediction and Experimental Results
The Linear-Sigmoidal (linsig) and Tan-Sigmoidal (tansig) functions used to build the
model and train the network. The output is trained separately for both ultimate load and axial
shortening load. Also the best values of prediction are obtained for 11 layers.
The experimental results which are obtained are given as the desired outputs to the
feed forward backpropagation network . These results were used to predict the output values
and were in good agreement with the Kolmogorovs theorem. The output values and the
deviations are obtained were tested and validated from 3 hidden layers to 14 hidden layers.
Ultimate axial load prediction
0
50
100
150
200
250
300
1 5 9 13 17 21 25 29 33 37 41 45 49 53 57
PU
Pu prediction
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The experimental values are obtained and verified for ultimate axial load . The
ultimate axial loads average deviations are tabulated in. The best result is obtained for 11
layers as per Kolmogorov principle and this is verified in the ultimate axial load deviation
histogram for all the layers .The performance is measured using mean square error (MSE).
The predicted values are tested, validated and plotted to obtain the best values on the
curve fit. The experimental inputs are tested from 3 hidden layers to 14 hidden layers and it is
verified that the deviations obtained for the 11 hidden layers gives the best result, also with
the best regression fit.
Axial Shortening prediction
-50
0
50
100
150
200
2501
2 3 4 56
78
910
11121314151617
18
192021
2223
242526272829303132
333435
3637
383940
4142434445464748
4950
5152
535455
5657
PU
Pu prediction
PU error
0
100
200
300
400
500
600
700
1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55
AS
AS prediction
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The experimental values are obtained and verified for axial shortening load .The
values are tabulated in Table-3. The deviations are also tabulated to choose the the best
results . Again it can be seen that the results obtained for 11as the number of hidden layers as
per Kolmogorovs theorem and this is verified again with axial load shortening .The
deviation is also represented in the histogram.
The comparison of the experimental results and the predicted ultimate axial load for
11 hidden layers . The same procedure is repeated for axial shortening; The experimental data
are obtained after training the model to 1000 number of epochs and assigning the transfer
function as tansig with the given inputs and predicted values. The input is trained using
Lavenberg-Marquardt algorithm. The performance is measured using mean square error
(MSE).The predicted values are tested, validated and plotted to obtain the best values on the
curve fit. The experimental inputs are tested from 3 hidden layers to 14 hidden layers and it is
verified that the deviations obtained for the 11 hidden layers gives the best result, also with
the best regression fit.
6.5. Conclusion
The experimental behavior and corresponding ANN predictions of circular composite
tube subjected axial compressive load were presented and discussed. The ANN has been
shown to successfully predict the crushing behavior of wide range of circular tubes. The
predicted results obtained, are showed that the feed forward back propagation network with
11 hidden neurons consistently provided the best predictions of the experimental data. From
the current work it can be concluded that ANN techniques can be used to effectively predict
the response of ultimate axial load and axial shortening on composite tubes.
-600-400-200
0200400600800
12 3 4 5 6
78
9101112131415161718
1920
2122
232425262728293031323334
3536
3738
3940
414243444546474849
5051
525354
555657
AS
AS prediction
AS error
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TABLE 7.1: Tabulated Experimental Values
Grade PU ASD t L fc fy
1:3
33.7 2.6 350 7 310 123 42442.4 2.6 350 7 310 133 425.23
42.4 2.6 350 7 310 139 57.74
33.7 2.6 450 7 310 111 535.84
42.2 2.6 450 7 310 124 531.86
42.4 2.6 450 7 310 135 530.74
33.7 2.6 550 7 310 104 631.58
42.4 2.6 550 7 310 119 624.01
42.4 2.6 550 7 310 120 292.8
33.7 3.2 350 7 310 165 498.23
42.4 3.2 350 7 310 218 442.16
42.4 3.2 350 7 310 198 437.45
33.7 3.2 450 7 310 150 119.12
42.2 3.2 450 7 310 215 478.68
42.4 3.2 450 7 310 193 630.76
33.7 3.2 550 7 310 115 567.56
42.4 3.2 550 7 310 200 354.16
42.4 3.2 550 7 310 189 487.44
42.4' 4 350 7 310 243 411.24
1:4
33.7 2.6 350 6.2 310 112 433.94
42.4 2.6 350 6.2 310 129 430.63
42.4 2.6 350 6.2 310 134 431.76
33.7 2.6 450 6.2 310 105 411.56
42.2 2.6 450 6.2 310 121 511.33
42.4 2.6 450 6.2 310 131 498.34
33.7 2.6 550 6.2 310 98 543.17
42.4 2.6 550 6.2 310 118 611.23
42.4 2.6 550 6.2 310 120 277.3
33.7 3.2 350 6.2 310 173 432.01
42.4 3.2 350 6.2 310 214 431.66
42.4 3.2 350 6.2 310 183 432.33
33.7 3.2 450 6.2 310 166 133.76
42.2 3.2 450 6.2 310 207 478.38
42.4 3.2 450 6.2 310 176 567.55
33.7 3.2 550 6.2 310 159 634.0142.4 3.2 550 6.2 310 194 347.77
42.4 3.2 550 6.2 310 171 478.09
42.4' 4 350 6.2 310 219 423.9
1:5
33.7 2.6 350 5.3 310 116 431.04
42.4 2.6 350 5.3 310 143 429.87
42.4 2.6 350 5.3 310 147 436.53
33.7 2.6 450 5.3 310 110 402.25
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42.2 2.6 450 5.3 310 118 496.54
42.4 2.6 450 5.3 310 126 477.13
33.7 2.6 550 5.3 310 94 511.04
42.4 2.6 550 5.3 310 113 578.36
42.4 2.6 550 5.3 310 117 435
33.7 3.2 350 5.3 310 158 434.27
42.4 3.2 350 5.3 310 217 430.06
42.4 3.2 350 5.3 310 177 248.45
33.7 3.2 450 5.3 310 142 109.38
42.2 3.2 450 5.3 310 191 456.76
42.4 3.2 450 5.3 310 164 523.23
33.7 3.2 550 5.3 310 123 498.34
42.4 3.2 550 5.3 310 183 375.85
42.4 3.2 550 5.3 310 157 411.44
42.4 4 350 5.3 310 215 411.65
TABLE 7.2: Prediction OF Pu and Its Deviation
PU
Pu
prediction PU error
123 129.6084 -6.6084
133 161.1598 -28.1598
139 161.1598 -22.1598
111 112.0944 -1.0944
124 126.9117 -2.9117
135 129.1005 5.8995
104 105.6747 -1.6747119 125.7029 -6.7029
120 125.7029 -5.7029
165 171.9848 -6.9848
218 213.1588 4.8412
198 213.1588 -15.1588
150 159.7345 -9.7345
215 208.6071 6.3929
193 209.4455 -16.4455
115 133.1576 -18.1576
200 203.3088 -3.3088
189 203.3088 -14.3088
243 231.7198 11.2802
112 133.3728 -21.3728
129 141.5893 -12.5893
134 141.5893 -7.5893
105 113.5402 -8.5402
121 127.0825 -6.0825
131 127.0552 3.9448
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98 100.4327 -2.4327
118 125.5173 -7.5173
120 125.5173 -5.5173
173 172.049 0.95103
214 187.8391 26.1609
183 187.8391 -4.8391
166 152.5117 13.4883207 188.3865 18.6135
176 185.2793 -9.2793
159 141.6543 17.3457
194 182.7252 11.2748
171 182.7252 -11.7252
219 183.9339 35.0661
116 109.1319 6.8681
143 146.7343 -3.7343
147 146.7343 0.26566
110 111.2282 -1.2282
118 129.8992 -11.8992
126 129.4207 -3.4207
94 105.062 -11.062
113 108.3131 4.6869
117 108.3131 8.6869
158 148.1193 9.8807
217 167.7527 49.2473
177 167.7527 9.2473
142 151.3536 -9.3536
191 167.4269 23.5731
164 166.5387 -2.5387
123 135.5481 -12.5481
183 151.5585 31.4415157 151.5585 5.4415
215 176.1332 38.8668
TABLE 7.3: Axial Shortening Predicted Values and Its Deviation
AS
AS
prediction AS error
424 633.9139 -209.9139
425.23 155.2998 269.9302
57.74 155.2998 -97.5598
535.84 524.6071 11.2329
531.86 465.4583 66.4017
530.74 466.3267 64.4133
631.58 545.6866 85.8934
624.01 431.9607 192.0493
292.8 431.9607 -139.1607
498.23 571.4514 -73.2214
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442.16 539.2225 -97.0625
437.45 539.2225 -101.7725
119.12 201.335 -82.215
478.68 533.5634 -54.8834
630.76 555.3099 75.4501
567.56 59.0981 508.4619
354.16 587.304 -233.144487.44 587.304 -99.864
411.24 634.01 -222.77
433.94 450.607 -16.667
430.63 634.0098 -203.3798
431.76 634.0098 -202.2498
411.56 563.0175 -151.4575
511.33 634.01 -122.68
498.34 634.01 -135.67
543.17 634.01 -90.84
611.23 634.01 -22.78
277.3 634.01 -356.71
432.01 161.4997 270.5103
431.66 633.9684 -202.3084
432.33 633.9684 -201.6384
133.76 266.3004 -132.5404
478.38 634.01 -155.63
567.55 634.01 -66.46
634.01 634.01 4.09E-12
347.77 634.01 -286.24
478.09 634.01 -155.92
423.9 326.6426 97.2574
431.04 634.01 -202.97
429.87 146.5533 283.3167436.53 146.5533 289.9767
402.25 634.01 -231.76
496.54 634.01 -137.47
477.13 634.01 -156.88
511.04 634.01 -122.97
578.36 634.01 -55.65
435 634.01 -199.01
434.27 634.01 -199.74
430.06 416.4371 13.6229
248.45 416.4371 -167.9871
109.38 634.01 -524.63
456.76 634.01 -177.25523.23 634.01 -110.78
498.34 634.01 -135.67
375.85 634.01 -258.16
411.44 634.01 -222.57
411.65 389.8547 21.7953
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CHAPTER-7
SUMMARY AND CONCLUSIONS
!
As the length of the DSST increases, the ultimate axial strength decreases.
! As the wall thickness of both inner and outer tube is greater, it can with resist more
axial load.
! Higher the total cross sectional area of DSST, better the ultimate axial strength.
! The infilled material cement mortar also acts as fire resistance.
! The steel tubular column gives good aesthetic appearance.
! linear behavior till yielding was observed al