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Mr.Madan M. Awatade.et al. Int. Journal of Engineering Research and Application www.ijera.com
ISSN : 2248-9622, Vol. 6, Issue 7, ( Part -4) July 2016, pp.61-65
www.ijera.com 61|P a g e
Finite Element Modeling for Effect of Fire on Steel Structure: A
Review
Mr.Madan M. Awatade1
, Dr.Chetan P.Pise2
, Prof.D.S.Jagatap3
, Prof.Y.P.Pawar3
,Prof.S.S.Kadam3
, Prof.C.M.Deshmukh3
,Prof.D.D,Mohite3
.
1
PG Scholar, Department of Civil engineering, SKN Sinhgad College of Engineering, Pandharpur
2
Associate Professor, Department of Civil Engineering,SKN Sinhgad College of Engineering,Pandharpur.
3
Assistant Professor, Department of Civil engineering, SKN Sinhgad College of Engineering, Pandharpur.
ABSTRACT
Fire performance of structural steel at elevated temperature includes the study of steel frame subjected to fire.
Also the effect of stress strain temperature on the fire performance of structural steel should be observed. The
behavior of a steel frame in a fire depends on many factors including the properties of the steel and the coating
material on it. The present paper shows reviews of various research works carried out by several researchers on
the effects of stress–strain relationships on the fire performance of steel frame exposed to uniformly increasing
temperature when steel is unprotected and protected with concrete using FEM.
Keywords: Steel frame, Elevated temperature, Fire performance, Stress-Strain, Finite Element Model (FEM).
I. INTRODUCTION
FEM Modeling is one of the best method
to describe the accurate geometric and nonlinear
formulation to predict structural behavior of
unprotected steel member of steel frame at elevated
temperature[1,2,3].When the unprotected steel
column is subjected to repeated fire on a single
storey it reduces the stresses and stiffness of the
axial member[4].The steel beam and composite
beams are exposed to fire it affect on stresses and
strains it also depend on support condition and
properties of steel.[5].Steel I-beam is also used as
structural member when it exposed to fire the main
parameter that affect on rotational capacity it
include the Parameters like temperature, flange
slenderness, web slenderness and effective
length.[6,7,8].One of the most important factor i.e.
the failure time of unprotected steel columns
subjected to various axial restraint ratios[9,10,11].
The important property of steel is ductility
the benefits of steel ductility in the current design
of fire-unprotected structures[12,13].When the
large steel building strongly affected by heating it
include the aspect like role of expansion, loss of
material and strength, the relative stiffness of
adjacent parts ofthe structure, development of large
deflections, buckling and temperature
gradients[14,15].In the past decade, several
experimental and theoretical studies have been
carried out on the degradation of column concrete
strength due to the short term exposure to fire [16].
These studies of columns exposed to fire have
indicated the following observations: Surface
cracking in concrete occurs at nearly 300 C with a
deeper cracking at 540 C. Spalling occurs followed
by breaking off thin concrete cover at corner and
edges.[17]
Concrete begins to lose about 30% of its
compressive strength when heated up to 300 C and
loses about 70% of its compressive strength when
heated up to 600 C.[18] Concrete modulus of
elasticity reaches 60% of its original value at 300 C
and reaches 15% of its original value at 600 C.[19]
Concrete stiffness decreases with the increase in
temperature and the reduction in stiffness is
accompanied with a reduction in the concrete
strength with the increase in the concrete
strains.[20] Vertical cracks clearly appear and then
crushing of concrete accompanied by crackle sound
with a local buckling of the longitudinal
reinforcement occurs.[21] Columns with large
longitudinal bars diameters lead to fire resistance
appreciably smaller than columns with smaller bar
diameters and the increase in concrete cover has a
positive effect on the columns fire
resistance.[22,23].
Boundary restraints experienced by an
actual heated column within a building have not
been considered.[24,25]. The Broad gate
development fire and the series of Cardington fire
tests have shown that strong interactions exist
among slabs, columns and beams.[26,27,28] For
columns in a compartment fire, they are likely to
be axially and rotationally restrained by their
adjoining unheated members.[29,30].Failure of
corrugated web under shear; was due to buckling of
the web. That buckling of the web is local and
global for the coarse and dense corrugations,
respectively.[31] suggested a buckling formulae,
RESEARCH ARTICLE OPEN ACCESS
Mr.Madan M. Awatade.et al. Int. Journal of Engineering Research and Application www.ijera.com
ISSN : 2248-9622, Vol. 6, Issue 7, ( Part -4) July 2016, pp.61-65
www.ijera.com 62|P a g e
which are based on local buckling of the
corrugation folds as isotropic flat plates or global
buckling of the entire web panel as an orthotropic
plate[32].Failure of corrugated webs under uniform
bending; was sudden and due to vertical buckling
of the compression flange into the web after the
stress in the flange reached the yield stress.[33]
Failure of corrugated webs under partial
compressive edge loading; was due to a flange
collapse mechanism and web crippling or web
yielding, followed by crippling and vertical
bending of the flange into the crippled
web[34,35,36] In additional to the above
mentioned modes of failures; Abbas presented a
theoretical formulae for the linear elastic in-plane
and torsional behavior of corrugated web I-girders
under in-plane loads. Using a typical corrugated
web steel I-girder consists of two steel flanges
welded to a corrugated steel web. [37, 38, 39].
II. PRESENT STUDIES AND
THEORIES
There are many researchers have been
carried out on FEM Modeling on steel frame for
investigating its behavior under fire with
considering parameters like stress-strain-
temperature relation ,thermal time.
Chi Kin Iu et al [1].R. B. Caldas.et al.[2].
Lenka Lausová et.al [3] have invested an accurate
and robust geometric and material nonlinear
formulation To predict structural behavior of
unprotected steel members at elevated
temperatures. A fire Analysis including large
displacement effects for frame structures is
presented. This finite Element formulation of
beam–column elements is based on the plastic
hinge approach to Model the elasto-plastic strain-
hardening material behavior.
Lyle P. Carden, Ahmad M. Itani [4].An
evaluation of a single story unprotected steel
structure Exposed to repeated fire during the
training of fire fighters is described. Temperatures
are monitored on the structure using resistance
temperature detectors connected to a data
acquisition system. Temperatures of up to 384 C
are measured in the steel of the structures, which
are below levels likely to cause much degradation
in stiffness or strength. Uniform heating of the
columns was shown to result in minimal stresses in
the structure as the columns were relatively free to
deform axially.
Andy Buchanan et al [5]. Ahmed S.
Elamary [6]. Z.H. Yao et.al [7]. Jing-Si Huo et.al
[8].This paper describes a detailed analytical
investigation into the effects of stress–strain
relationships on the fire performance of steel beams
and composite steel–concrete beams exposed to
uniformly increasing temperatures on three sides.
The support conditions include simply supported,
pin–pin, fixed sliding and fully fixed. In each case,
a comparison of the deflected shape with the
evolving internal forces shows unusual but
predictable behavior, strongly dependent on the
stress–strain relationship of the structural steel.
Ronny Budi Dharma, Kang-Hai Tan
[9].he describes the use of finite element models to
study the inelastic behavior of a steel I-beam in
terms of its rotational capacity at elevated
temperature. Two main objectives of this study are
to investigate the feasibility of applying the finite
element method to study the moment–rotation
relationship of steel I-beams at elevated
temperature and to investigate the main parameters
affecting rotational capacity at elevated
temperatures through parametric study. The finite
element (FE) model was validated against
published test results [Lukey AF, Adams PF.
Rotation capacity of beams under moment gradient.
Journal of the Structural Division, ASCE
1969;95(ST6):1173–88] at ambient temperature
and test results reported in Part I of the paper.
Ronny Budi Dharma, Kang-Hai Tan
[10].An extensive experimental programme has
been conducted to investigate the rotational
capacity of steel I-beams under fire conditions.
Two main objectives are to study the effects of
temperature on the rotational capacity and to
identify key parameters which affect the rotational
capacity. Parameters including temperature, flange
slenderness, web slenderness and effective length
were varied in the test programme. The test set-up
was designed to represent the internal joint of a
continuous beam. The segments between the plastic
hinge and adjacent point of inflection where
hogging moment occurs were represented by each
half of a simply supported beam subjected to a
mid-span point load. The specimens were heated to
the desired temperature before they were subjected
to an increasing point load up to failure (isothermal
test).
Kang-Hai Tan, Wee-Siang Toh, Zhan-Fei
Huang , Guan-Hwee Phng et al [11].he give
outlines a research program on an experimental
investigation to determine the failure time of
unprotected steel columns subjected to various
axial restraint ratios. Axial restraints were applied
to simulate the thermal restraint effects due to
adjacent cooler parts of a steel framed structure in
fire. All columns had an effective length of 1.74 m,
and were divided into 4 groups according to their
minor-axis slenderness ratios of 45, 55, 81 and 97,
respectively. The columns were axially loaded and
exposed to a monotonically increasing heating
condition. Initial imperfections such as column
crookedness and load eccentricity were measured
by a specially designed facility.
Mr.Madan M. Awatade.et al. Int. Journal of Engineering Research and Application www.ijera.com
ISSN : 2248-9622, Vol. 6, Issue 7, ( Part -4) July 2016, pp.61-65
www.ijera.com 63|P a g e
Alexander Landesmanna, et al [12].A non-
linear transient heat transfer analysis is performed
on the basis of the finite element method (FEM),
following the main guidelines proposed by the
European Code for steel structures under fire
conditions. The computational analysis program is
used to assess the structural load-bearing functions
and to estimate the structural behavior and the
corresponding time-resistance period. The original
refined plastic hinge method is extended for fire
design analysis considering both tangent modulus
model and inelastic stiffness degradation concepts
in the developed computational program. A tangent
modulus model is developed for the European
column buckling-curve for fire condition. The
results obtained are compared with those from an
FEM computational program and those from the
Euro code simplified design recommendations. The
benefits of using steel ductility in the current
design of fire-unprotected structures are outlined
A.S.Usmani [13]. Fires are a relatively likely event
consequent to earthquakes in urban locations and in
generalare an integral part of the emergency
response strategies focused on life safety in most
developed economies.Similarly building
regulations in most countries require engineers to
consider the effect of seismic and fire loading on
the structures and provide an adequate level of
resistance to these hazards, however only on
aseparate basis. To the authors knowledge there are
no current regulations that require buildings to
consider these hazards in a sequential manner to
quantify the compound loading and design for the
required resistance. It is accepted that in many
cases this may not be feasible or even desirable, but
on the other hand there will be many high value
structures where it would be economically and
technically sensible to provide such resistance.
J.M.Rotter et. al [14].discusses the
response of a structural element under fire within a
highly redundant structure, such as a large building.
The behavior of the element under fire is strongly
affected by the restraint provided by the
surrounding parts which are not subjected to
heating. A number of responses in quite simple
structures are shown, to illustrate the roles of
expansion, loss of material strength, the relative
stiffness of adjacent parts of the structure,
development of large deflections, buckling and
temperature gradients. These aspects are illustrated
with simple examples, and it is shown that there are
several counter-intuitive phenomena in structures
of this kind. The significance of these findings for
the design of large buildings is explored briefly
K. W. Poh [15].have presents a new
mathematical relationship for representing the
stress-strain behavior of structural steel at elevated
temperatures. The relationship is constructed by
fitting two versatile, continuous equations to
experimental data. The first equation, a general
stress-strain equation previously proposed by Poh,
is used for characterizing the stress-strain data. The
second equation is proposed in this paper. It is used
for representing the variation of the stress-strain
behavior with temperature. A simple two-stage
procedure is used for fitting the equations to the
experimental data. This gives a set of curve fitting
coefficients that can be simply expressed in a
matrix format. It is shown that the resulting
relationship accurately represents the experimental
data.
III. CONCLUSION
Based on the studies so far carried out by
several researchers following conclusions can be
drawn.
1. 1.From the review of the studies carried out by
various researchers it can be concluded that as
temperature increases the stresses and strains
are increases when steel is unprotected.
2. As we provide insulating material like concrete
on the all sides of the steel frame with a
suitable thickness so that there is decrease in
stresses and strains hence behavior of steel
exposed to fire becomes essential.
REFERENCES
[1]. Chi Kin Iu, Siu LaiChan, “A simulation-
based large deflection and inelastic
analysis of steel frames under fire”,
Journal of Constructional Steel Research
60 (2004) 1495–1524.
[2]. R. B. Caldas , R. H. Fakury , M. Sousa
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[6]. Ahmed S. Elamary“nonlinear behavior
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Mr.Madan M. Awatade.et al. Int. Journal of Engineering Research and Application www.ijera.com
ISSN : 2248-9622, Vol. 6, Issue 7, ( Part -4) July 2016, pp.61-65
www.ijera.com 64|P a g e
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[18]. C.R. Cruz, Elastic properties of concrete
at high temperature, J. PCA Res. Develop.
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[19]. J.C. Dotreppe et al, Experimental
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[20]. Ng Ah Book, M.S. Mirza, T.T. Lie,
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[21]. Wei-Ming Lin, T.D. Lin, A.J. Durrani,
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[22]. Bikhiet M. Mohamed, Behavior of
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[23]. ACI Committee 216 R,81, Fire
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[24]. Bailey CG.The influence of the thermal
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[25]. Wang YC.Full scale testing of multi-
storey buildings in the large building test
facility, Cardington.
[26]. In: Dubina D,Vayas I, Ungureanu I,
editors. “New technologies and structures
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[27]. Gillei M, Usmani AS, Rotter JM. “A
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test”. J Construct Steel 2001;581–601.
[28]. Elghazouli AY, Izzuddin BA,
Richardson AJ. “Numerical modeling of
the structural fire behavior of composite
buildings”. Fire Safety Journal 2000;35:
279–97.
[29]. Huang ZH, Burgess IW, Plank RJ.Non-
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Mr.Madan M. Awatade.et al. Int. Journal of Engineering Research and Application www.ijera.com
ISSN : 2248-9622, Vol. 6, Issue 7, ( Part -4) July 2016, pp.61-65
www.ijera.com 65|P a g e
[31]. Abbas, H.H., Sause, R., and Driver,
"Shear Strength and Stability of High
Performance Steel Corrugated Web
Girders", Proc., Structural Stability
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[32]. Elgaaly, M., Hamilton R.W. and
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[33]. Elgaaly, M. and Seshadri A, "Bending
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[34]. Abbas, H.H., Sause, R., and Driver,
“Behavior of corrugated web I-girders
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with corrugated webs under partial
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[37]. Abbas, H.H., "Analysis and Design of
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Finite Element Modeling for Effect of Fire on Steel Structure: A Review

  • 1. Mr.Madan M. Awatade.et al. Int. Journal of Engineering Research and Application www.ijera.com ISSN : 2248-9622, Vol. 6, Issue 7, ( Part -4) July 2016, pp.61-65 www.ijera.com 61|P a g e Finite Element Modeling for Effect of Fire on Steel Structure: A Review Mr.Madan M. Awatade1 , Dr.Chetan P.Pise2 , Prof.D.S.Jagatap3 , Prof.Y.P.Pawar3 ,Prof.S.S.Kadam3 , Prof.C.M.Deshmukh3 ,Prof.D.D,Mohite3 . 1 PG Scholar, Department of Civil engineering, SKN Sinhgad College of Engineering, Pandharpur 2 Associate Professor, Department of Civil Engineering,SKN Sinhgad College of Engineering,Pandharpur. 3 Assistant Professor, Department of Civil engineering, SKN Sinhgad College of Engineering, Pandharpur. ABSTRACT Fire performance of structural steel at elevated temperature includes the study of steel frame subjected to fire. Also the effect of stress strain temperature on the fire performance of structural steel should be observed. The behavior of a steel frame in a fire depends on many factors including the properties of the steel and the coating material on it. The present paper shows reviews of various research works carried out by several researchers on the effects of stress–strain relationships on the fire performance of steel frame exposed to uniformly increasing temperature when steel is unprotected and protected with concrete using FEM. Keywords: Steel frame, Elevated temperature, Fire performance, Stress-Strain, Finite Element Model (FEM). I. INTRODUCTION FEM Modeling is one of the best method to describe the accurate geometric and nonlinear formulation to predict structural behavior of unprotected steel member of steel frame at elevated temperature[1,2,3].When the unprotected steel column is subjected to repeated fire on a single storey it reduces the stresses and stiffness of the axial member[4].The steel beam and composite beams are exposed to fire it affect on stresses and strains it also depend on support condition and properties of steel.[5].Steel I-beam is also used as structural member when it exposed to fire the main parameter that affect on rotational capacity it include the Parameters like temperature, flange slenderness, web slenderness and effective length.[6,7,8].One of the most important factor i.e. the failure time of unprotected steel columns subjected to various axial restraint ratios[9,10,11]. The important property of steel is ductility the benefits of steel ductility in the current design of fire-unprotected structures[12,13].When the large steel building strongly affected by heating it include the aspect like role of expansion, loss of material and strength, the relative stiffness of adjacent parts ofthe structure, development of large deflections, buckling and temperature gradients[14,15].In the past decade, several experimental and theoretical studies have been carried out on the degradation of column concrete strength due to the short term exposure to fire [16]. These studies of columns exposed to fire have indicated the following observations: Surface cracking in concrete occurs at nearly 300 C with a deeper cracking at 540 C. Spalling occurs followed by breaking off thin concrete cover at corner and edges.[17] Concrete begins to lose about 30% of its compressive strength when heated up to 300 C and loses about 70% of its compressive strength when heated up to 600 C.[18] Concrete modulus of elasticity reaches 60% of its original value at 300 C and reaches 15% of its original value at 600 C.[19] Concrete stiffness decreases with the increase in temperature and the reduction in stiffness is accompanied with a reduction in the concrete strength with the increase in the concrete strains.[20] Vertical cracks clearly appear and then crushing of concrete accompanied by crackle sound with a local buckling of the longitudinal reinforcement occurs.[21] Columns with large longitudinal bars diameters lead to fire resistance appreciably smaller than columns with smaller bar diameters and the increase in concrete cover has a positive effect on the columns fire resistance.[22,23]. Boundary restraints experienced by an actual heated column within a building have not been considered.[24,25]. The Broad gate development fire and the series of Cardington fire tests have shown that strong interactions exist among slabs, columns and beams.[26,27,28] For columns in a compartment fire, they are likely to be axially and rotationally restrained by their adjoining unheated members.[29,30].Failure of corrugated web under shear; was due to buckling of the web. That buckling of the web is local and global for the coarse and dense corrugations, respectively.[31] suggested a buckling formulae, RESEARCH ARTICLE OPEN ACCESS
  • 2. Mr.Madan M. Awatade.et al. Int. Journal of Engineering Research and Application www.ijera.com ISSN : 2248-9622, Vol. 6, Issue 7, ( Part -4) July 2016, pp.61-65 www.ijera.com 62|P a g e which are based on local buckling of the corrugation folds as isotropic flat plates or global buckling of the entire web panel as an orthotropic plate[32].Failure of corrugated webs under uniform bending; was sudden and due to vertical buckling of the compression flange into the web after the stress in the flange reached the yield stress.[33] Failure of corrugated webs under partial compressive edge loading; was due to a flange collapse mechanism and web crippling or web yielding, followed by crippling and vertical bending of the flange into the crippled web[34,35,36] In additional to the above mentioned modes of failures; Abbas presented a theoretical formulae for the linear elastic in-plane and torsional behavior of corrugated web I-girders under in-plane loads. Using a typical corrugated web steel I-girder consists of two steel flanges welded to a corrugated steel web. [37, 38, 39]. II. PRESENT STUDIES AND THEORIES There are many researchers have been carried out on FEM Modeling on steel frame for investigating its behavior under fire with considering parameters like stress-strain- temperature relation ,thermal time. Chi Kin Iu et al [1].R. B. Caldas.et al.[2]. Lenka Lausová et.al [3] have invested an accurate and robust geometric and material nonlinear formulation To predict structural behavior of unprotected steel members at elevated temperatures. A fire Analysis including large displacement effects for frame structures is presented. This finite Element formulation of beam–column elements is based on the plastic hinge approach to Model the elasto-plastic strain- hardening material behavior. Lyle P. Carden, Ahmad M. Itani [4].An evaluation of a single story unprotected steel structure Exposed to repeated fire during the training of fire fighters is described. Temperatures are monitored on the structure using resistance temperature detectors connected to a data acquisition system. Temperatures of up to 384 C are measured in the steel of the structures, which are below levels likely to cause much degradation in stiffness or strength. Uniform heating of the columns was shown to result in minimal stresses in the structure as the columns were relatively free to deform axially. Andy Buchanan et al [5]. Ahmed S. Elamary [6]. Z.H. Yao et.al [7]. Jing-Si Huo et.al [8].This paper describes a detailed analytical investigation into the effects of stress–strain relationships on the fire performance of steel beams and composite steel–concrete beams exposed to uniformly increasing temperatures on three sides. The support conditions include simply supported, pin–pin, fixed sliding and fully fixed. In each case, a comparison of the deflected shape with the evolving internal forces shows unusual but predictable behavior, strongly dependent on the stress–strain relationship of the structural steel. Ronny Budi Dharma, Kang-Hai Tan [9].he describes the use of finite element models to study the inelastic behavior of a steel I-beam in terms of its rotational capacity at elevated temperature. Two main objectives of this study are to investigate the feasibility of applying the finite element method to study the moment–rotation relationship of steel I-beams at elevated temperature and to investigate the main parameters affecting rotational capacity at elevated temperatures through parametric study. The finite element (FE) model was validated against published test results [Lukey AF, Adams PF. Rotation capacity of beams under moment gradient. Journal of the Structural Division, ASCE 1969;95(ST6):1173–88] at ambient temperature and test results reported in Part I of the paper. Ronny Budi Dharma, Kang-Hai Tan [10].An extensive experimental programme has been conducted to investigate the rotational capacity of steel I-beams under fire conditions. Two main objectives are to study the effects of temperature on the rotational capacity and to identify key parameters which affect the rotational capacity. Parameters including temperature, flange slenderness, web slenderness and effective length were varied in the test programme. The test set-up was designed to represent the internal joint of a continuous beam. The segments between the plastic hinge and adjacent point of inflection where hogging moment occurs were represented by each half of a simply supported beam subjected to a mid-span point load. The specimens were heated to the desired temperature before they were subjected to an increasing point load up to failure (isothermal test). Kang-Hai Tan, Wee-Siang Toh, Zhan-Fei Huang , Guan-Hwee Phng et al [11].he give outlines a research program on an experimental investigation to determine the failure time of unprotected steel columns subjected to various axial restraint ratios. Axial restraints were applied to simulate the thermal restraint effects due to adjacent cooler parts of a steel framed structure in fire. All columns had an effective length of 1.74 m, and were divided into 4 groups according to their minor-axis slenderness ratios of 45, 55, 81 and 97, respectively. The columns were axially loaded and exposed to a monotonically increasing heating condition. Initial imperfections such as column crookedness and load eccentricity were measured by a specially designed facility.
  • 3. Mr.Madan M. Awatade.et al. Int. Journal of Engineering Research and Application www.ijera.com ISSN : 2248-9622, Vol. 6, Issue 7, ( Part -4) July 2016, pp.61-65 www.ijera.com 63|P a g e Alexander Landesmanna, et al [12].A non- linear transient heat transfer analysis is performed on the basis of the finite element method (FEM), following the main guidelines proposed by the European Code for steel structures under fire conditions. The computational analysis program is used to assess the structural load-bearing functions and to estimate the structural behavior and the corresponding time-resistance period. The original refined plastic hinge method is extended for fire design analysis considering both tangent modulus model and inelastic stiffness degradation concepts in the developed computational program. A tangent modulus model is developed for the European column buckling-curve for fire condition. The results obtained are compared with those from an FEM computational program and those from the Euro code simplified design recommendations. The benefits of using steel ductility in the current design of fire-unprotected structures are outlined A.S.Usmani [13]. Fires are a relatively likely event consequent to earthquakes in urban locations and in generalare an integral part of the emergency response strategies focused on life safety in most developed economies.Similarly building regulations in most countries require engineers to consider the effect of seismic and fire loading on the structures and provide an adequate level of resistance to these hazards, however only on aseparate basis. To the authors knowledge there are no current regulations that require buildings to consider these hazards in a sequential manner to quantify the compound loading and design for the required resistance. It is accepted that in many cases this may not be feasible or even desirable, but on the other hand there will be many high value structures where it would be economically and technically sensible to provide such resistance. J.M.Rotter et. al [14].discusses the response of a structural element under fire within a highly redundant structure, such as a large building. The behavior of the element under fire is strongly affected by the restraint provided by the surrounding parts which are not subjected to heating. A number of responses in quite simple structures are shown, to illustrate the roles of expansion, loss of material strength, the relative stiffness of adjacent parts of the structure, development of large deflections, buckling and temperature gradients. These aspects are illustrated with simple examples, and it is shown that there are several counter-intuitive phenomena in structures of this kind. The significance of these findings for the design of large buildings is explored briefly K. W. Poh [15].have presents a new mathematical relationship for representing the stress-strain behavior of structural steel at elevated temperatures. The relationship is constructed by fitting two versatile, continuous equations to experimental data. The first equation, a general stress-strain equation previously proposed by Poh, is used for characterizing the stress-strain data. The second equation is proposed in this paper. It is used for representing the variation of the stress-strain behavior with temperature. A simple two-stage procedure is used for fitting the equations to the experimental data. This gives a set of curve fitting coefficients that can be simply expressed in a matrix format. It is shown that the resulting relationship accurately represents the experimental data. III. CONCLUSION Based on the studies so far carried out by several researchers following conclusions can be drawn. 1. 1.From the review of the studies carried out by various researchers it can be concluded that as temperature increases the stresses and strains are increases when steel is unprotected. 2. As we provide insulating material like concrete on the all sides of the steel frame with a suitable thickness so that there is decrease in stresses and strains hence behavior of steel exposed to fire becomes essential. REFERENCES [1]. Chi Kin Iu, Siu LaiChan, “A simulation- based large deflection and inelastic analysis of steel frames under fire”, Journal of Constructional Steel Research 60 (2004) 1495–1524. [2]. R. B. Caldas , R. H. Fakury , M. Sousa Jr. “Finite element implementation for the analysis of 3D steel and composite frames subjected to fire.” Latin American journal of solids and structures 11(2014) 001 – 018 [3]. Lenka Lausová, Iveta Skotnicová, Pavlína Mate čková, and Ji čí Bro čovský“The effect of fire to the steel frame structure” International journal of materials Volume 1, 2014 [4]. Lyle P. Cardena, Ahmad M. Itanib, “Performance of an unprotected steel structure subjected to repeated fire at a firefighter training facility”, Fire Safety Journal 42 (2007) 81–90. [5]. Andy Buchanan, Peter Moss ,Jenny Seputro, Richard Welsh , “The effect ofstress–strain relationships on the fire performance of steel beams”, Engineering Structures 26 (2004) 1505–1515. [6]. Ahmed S. Elamary“nonlinear behavior analysis of steel beams with flat or corrugated webs at elevated temperatures”
  • 4. Mr.Madan M. Awatade.et al. Int. Journal of Engineering Research and Application www.ijera.com ISSN : 2248-9622, Vol. 6, Issue 7, ( Part -4) July 2016, pp.61-65 www.ijera.com 64|P a g e Journal of Engineering Sciences, Assiut University, Vol. 36, No. 3, pp.657-673, May 2008 [7]. Z.H. Yao, S.M. Huang, Q.L. Yao and B. Song“ study on flexural behavior of fire- exposed rc beams strengthened with SMPM” World Conference on Earthquake Engineering October 12-17, 2008, Beijing, China [8]. Jing-Si Huo: Lin-Hai Han; Yong- Chang Wang” Behavior of Steel Beam to Concrete Filled Tubular Steel Joints After Exposure to Fire” World Conference on Earthquake Engineering October 12-17, 2008, Beijing, China [9]. Ronny Budi Dharma, Kang-Hai Tan, “Rotational capacity of steel I-beams under fire conditions Part II: Numerical simulations”, Engineering Structures 29 (2007) 2403–2418. [10]. Ronny Budi Dharma, Kang-Hai Tan, “Rotational capacity of steel I-beams under fire conditions Part I: Experimental study”, Engineering Structures 29 (2007) 2391–2402. [11]. Kang-Hai Tan, Wee-Siang Toh, Zhan- Fei Huang_, Guan-HweePhng, “Structural responses of restrained steel columns at elevated temperatures. Part 1: Experiments”, Engineering Structures 29 (2007) 1641–1652. [12]. Alexander Landesmanna,, Eduardo de M. Batistab, Jose´ L. Drummond Alvesb, “Implementation of advanced analysis method for steel-framed structures under fire conditions”, Fire Safety Journal 40 (2005) 339–366. [13]. A.S. Usmani,“research priorities for maintaining structural fireresistance after seismic damage”, The 14th World Conference on Earthquake Engineering October 12-17, 2008, Beijing, China. [14]. J.M.Rotter, A.M.Sanad, A.S.Usmani and M.Gillie, “structural performance of redundant structures under local fires”, Published in the proceedings of Interflam99-Edinburgh [15]. K. W. Poh, “stress-strain-temperature relationship for structural steel”’, Journal of Materials in Civil Engineering, Vol. 13, No. 5, September/October, 2001.@ASCE,Paper No. 21953. [16]. Mr. C Sangluaia , Mr. M K Haridharan, “Behaviour of Reinforced Concrete Slab Subjected To Fire” International Journal Of Computational Engineering Research (ijceronline.com) Vol. 3 Issue pp 194-206. [17]. H. Hosny, Elmagd Abo, Fire of Reinforced Concrete Structures, Dar El Nasher For Egyptian University, 1994. [18]. C.R. Cruz, Elastic properties of concrete at high temperature, J. PCA Res. Develop. Lab. 8 (1) (1996) 37–45. [19]. J.C. Dotreppe et al, Experimental research on the Determination of the main parameters affecting the behavior of reinforced concrete columns under fire conditions, Mag. Concr. Res. 149 (1997) 117–127. [20]. Ng Ah Book, M.S. Mirza, T.T. Lie, Response of direct models of reinforced concrete columns subjected to fire, ACI Struct. J. 87 (3) (1990) 313–325. [21]. Wei-Ming Lin, T.D. Lin, A.J. Durrani, Microstructure of fire damaged concrete, ACI Mater. J. 93 (3) (1996) 199–205. [22]. Bikhiet M. Mohamed, Behavior of Reinforced Concrete Columns Exposed to fire Master of Science, Cairo University, Giza, Egypt, 2004. [23]. ACI Committee 216 R,81, Fire Resistance and Fire Protection of Structure, American Concrete Institute, 1987. [24]. Bailey CG.The influence of the thermal expansion of beams on thestructural behaviour of columns in steel-framed structures during a fire.Engg.Struct 2000;22:755–68. [25]. Wang YC.Full scale testing of multi- storey buildings in the large building test facility, Cardington. [26]. In: Dubina D,Vayas I, Ungureanu I, editors. “New technologies and structures in civil engineering”: Case studies on remarkable constructions. Timisoara: Editura Orizonturi Universities; 1998. p. 219–35. [27]. Gillei M, Usmani AS, Rotter JM. “A structural analysis of the first Cardington test”. J Construct Steel 2001;581–601. [28]. Elghazouli AY, Izzuddin BA, Richardson AJ. “Numerical modeling of the structural fire behavior of composite buildings”. Fire Safety Journal 2000;35: 279–97. [29]. Huang ZH, Burgess IW, Plank RJ.Non- linear structural modeling of a fire test subject to high restraint. Fire Safety Journal 2001;36:795–814. [30]. Steel Construction Industry Forum (SCIF).Investigation of broad gate phase 8 fire. Ascot (UK): Steel Construction Institute; 1991.
  • 5. Mr.Madan M. Awatade.et al. Int. Journal of Engineering Research and Application www.ijera.com ISSN : 2248-9622, Vol. 6, Issue 7, ( Part -4) July 2016, pp.61-65 www.ijera.com 65|P a g e [31]. Abbas, H.H., Sause, R., and Driver, "Shear Strength and Stability of High Performance Steel Corrugated Web Girders", Proc., Structural Stability Research Council Annual Technical Session, April, Seattle, USA, pp. 361-387 R.G. (2002). [32]. Elgaaly, M., Hamilton R.W. and Seshadri, "Shear Strength of Beams with Corrugated Webs", ASCE J. St. Div., Vol. 122, PP 390- 398, 1996. [33]. Elgaaly, M. and Seshadri A, "Bending strength of steel Beams with Corrugated Webs", ASCE J. St. Div., Vol. 123, PP 772- 782, 1997. [34]. Abbas, H.H., Sause, R., and Driver, “Behavior of corrugated web I-girders under in plane loads” ASCE J. St. Div., Vol. 132 August 2006 pp 806-814 [35]. Elgaaly, M. and Seshadri A, "Girders with corrugated webs under partial compressive edge loading" ASCE J. St. Div., Vol. 123, PP 783- 791, 1997. [36]. Elgaaly, M. and Seshadri A, "Depicting the behavior of girders with corrugated webs up to failure using non-linear finite element analysis" Journal of Advances in Engineering Software, Vol. 29, PP 195- 208, 1998. [37]. Abbas, H.H., "Analysis and Design of Corrugated Web Plate Girder for Bridges Using High Performance Steel", Ph.D. Dissertation, Lehigh University, May 2003. [38]. Abbas, H.H., Sause, R., and Driver “Analysis of flange transverse bending of corrugated web I-girders under in-plane bending loads” ASCE J. St. Div., Vol. 133 March 2007 pp 347-355 [39]. Abbas, H.H., Sause, R., and Driver, “Simplified analysis of flange transverse bending of corrugated web I-girders under in-plane moment and shear” Engineering Structures J., Vol. 29 March 2007 pp 2816-2824