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IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 04 Issue: 2015 | Jan-2015, Available @ http://www.ijret.org 165
STRENGTHENING OF REINFORCED CONCRETE BEAM USING
STEEL FIBER AT DIFFERENT DEPTH OF THE BEAM
Prakash Mondal 1
, Dilip Kumar Singha Roy 2
1
Assistant professor, Department of Civil Engineering, Dr. B.C.Roy Engineering College,Durgapur, WestBengal,
India
2
Professor, Department of Civil Engineering, National Institute of Technology Durgapur, WestBengal, India
Abstract
This paper presents the results of an experimental investigation for enhancing the shear and ultimate strength capacities of
reinforced concrete (RC) beams using steel fiber at different depths. Ultimate loads, load-deflection curves, cracking and
crushing patterns have been compared with those of the RC beams without steel fiber henceforth noted as controlled beam. A
total of four sets of experiments each having three concrete beams, one set control beam and three sets with randomly distributed
discrete steel fiber at different depths henceforth noted as fiber reinforced concrete (FRC) beam, were performed to determine the
most economical structure in the perspective of ultimate strength and shear capacity. From the test results, it was found that
incorporation of steel fiber in RC beams have shown to be effective in enhancing the shear strength capacity. It has also been
observed that the strength increases with the use of varying depth of steel fiber. Beam strengthened using this scheme has shown
20% increase in shear strength and ultimate load in comparison to controlled beam.
Key Words: Reinforced Concrete Beams, High Strength Concrete, Steel fibers, strengthening
--------------------------------------------------------------------***-------------------------------------------------------------------
1. INTRODUCTION
During the past 30 years, attempts have been made to
enhance strength of reinforced concrete beams by bonding
steel fibers to beam in terms of flexural or shear strength.
The concrete construction field has shown a growing
interest in the advantages of introduction of fiber
reinforcement in structural elements. Among the different
fibers available, e.g. steel, synthetic, glass, and natural
fibers, the steel fiber is probably the most investigated and
most commonly used. Fiber reinforcement today is mainly
used in many applications such as industrial beam & floors,
overlays, and sprayed concrete, although other application
areas exist. Addition of short, discontinuous fibers plays an
important role in the improvement of the mechanical
properties of concrete. Some of the potential benefits of
fibers in concrete are improved crack control and more
strength than plain concrete, and the possibility of designing
more slender structures. However, the extent of the crack
control depends to a large extent on the type and amount of
fibers added.
From the durability point of view it is essential to control the
cracking process and, moreover, being able to predict crack
widths and crack pattern as well as to design a structure that
exhibits the desired behaviour. This behaviour of course,
depends on a number of different factors such as structural
type and size, type of concrete and type of steel fiber and,
amount and type of reinforcement, and the casting
procedure. In general, to achieve crack control, large
amounts of conventional reinforcement are needed,
especially in structures where only very small crack widths
(w≤ 0.1 mm) are allowed. Negative effects from large
amounts of reinforcement are that the structural dimensions
often need to be larger than what is needed for load bearing
capacity in order to make space for all the steel, the labour
involvement in placing it, and also difficulties with pouring
the concrete paste in tightly placed reinforcement bars of the
steel cage. By using fibers in combination with or instead of
the conventional reinforcement, these drawbacks may be
reduced or even completely avoided.
The use of steel fiber reinforced concrete (SFRC) is, thus,
particularly suitable for structures when they are subjected
to loads over the serviceability limit state in bending and
shear, and when exposed to impact or dynamic forces, as
they occur under seismic or cyclic action. However, there is
still incomplete knowledge on the design/analysis of fiber-
reinforced concrete structural members. FRC is a cement
based composite material reinforced with discrete, usually
randomly distributed, fibers [1, 2].The analysis of structural
sections requires, as a basic prerequisite, the definition of a
suitable stress-strain relationship for each material to relate
its behaviour to the structural response. Many stress-strain
relationships, in tension and in compression, for FRC
materials have been proposed in literature by different
authors. In particular, when fibers are added to a concrete
mix, fiber characteristics such as their type, shape, aspect
ratio Lf/Df, where Lf fiber length and Df fiber diameter, play
an important role in modifying the behavior of the material
[3]. Although it has been found that adding fibers to
concrete mainly enhances the post-cracking properties in
terms of a more ductile behaviour and reduced crack widths,
it still remains to show that these enhanced mechanical
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 04 Issue: 2015 | Jan-2015, Available @ http://www.ijret.org 166
properties can be predicted with reasonable accuracy and
that they can be incorporated into design methods.
Presently, a number of laboratory experiments on
mechanical property of SFRC have been done. Pereira et. al.
[4] presented an experimental research on the steel fiber-
reinforced concrete and numerical simulation of punching
test. Using notched cylindrical specimens, fracture energy of
steel fiber reinforced concrete was measured, and a new
trilinear cohesive law was proposed by Kazemi et. al.[5]. By
testing the deformational behavior of conventionally
reinforced steel fiber concrete beams in pure bending,
Dwarakanath and Nagaraj[6] gave an economical and
efficient use of steel fibers. The study results given by
Thomas and Ramaswamy[7] indicated that the fiber and
matrix interaction contributed significantly to enhancement
of mechanical properties caused by the introduction of
fibers. Numerical analysis and field test on performance of
steel fiber reinforced concrete segment in subway tunnel
were described by Zhu [8].Bending and uniaxial tensile tests
on hybrid fiber reinforced concretes combining fibers with
different geometry and material were presented by Sorelli et
al.[9]. However, these investigations were mostly based on
the Macro-phenomena of the specimen failure. The general
laboratory experiments couldn’t give a thorough cognition
to the deformation and destruction process of SFRC,
particularly, in reflecting the basic features of deformation
localization and stress redistribution. Hence, an attempt has
been made in the present study to carry out a set of
experiments on the SFRC specimens using discrete steel
fibers randomly distributed at different depths of the beam.
Moreover, study has been made on the load-deflection
behaviour of layered steel fiber reinforced concrete beam
which is important in view of its ductility aspect, the
flexural strength and mode of failure.
1.1 OBJECTIVE
1. The main objective of present work is to study the
behaviour of reinforced concrete beams strengthened
with steel fiber.
2. To study the effect of steel fiber strengthening of RC
Beams on ultimate load carrying capacity and failure
pattern.
3. Comparative study of the crack pattern and crushing
behavior between controlled beam and strengthened
FRC beams.
1.2 SCIENTIFIC APPROACH
This paper provides the test data related to behaviour of
strengthening of RC beams using steel fiber. These data are
useful for developing constitutive models for shear response
of structural elements where high strength concrete is used.
The experiments have been conducted based on two-point
beam bending to investigate structural behaviour.
2. EXPERIMENTAL PROGRAMME
Twelve reinforced concrete beams were cast and tested
under two point loading, using fiber at three deferent depths
for nine beams and three control beams. All specimens were
design according to IS: 456-2000 with identical size of
1450x150x200 mm. All beams have identical reinforcement
details including longitudinal reinforcement in the form of
12 mm diameter HYSD bar and stirrups reinforcement of 8
mm diameter at 130 mm spacing center to center as shown
in Fig.1 with specimen details. The investigated beams have
been divided into four sets with and without the use of fiber
different depth of the beam. All beams were cast using ready
mix concrete with compressive strength of 25 N/mm2
.
Details of the test specimens of four set with and without the
use of fiber at different depths of the RC beam have been
presented in Tables 1to 4.
Fig-1: Longitudinal and Cross sections details of RC beams
Table-1: Details of Reinforced Concrete Beam
Serial
no.
Beam
designation
Beam
Width
(mm)
Depth of
Beam(mm)
Length of
beam(mm)
Use
of
Fiber
SL1 P/B-1 150 200 1450 NO
SL2 P/B-2 150 200 1450 NO
SL3 P/B-3 150 200 1450 NO
Fig-.2: Details of Reinforced Concrete Beam
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
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Volume: 04 Issue: 2015 | Jan-2015, Available @ http://www.ijret.org 167
Table-2: Details of Fully Fiber Reinforced Concrete Beam
Fig.-3: Fiber Reinforced Concrete Beam
Table-3: Details of 0.5 Depth Level of Fiber Reinforced
Concrete Beams
Serial
no.
Beam
designation
Beam
Width
(mm)
Depth of
Beam
(mm)
Length of
beam
(mm)
Use
of
Fiber
SL7 0.5D-B-1 150 200 1450 0.5d
Depth
of
Beam
SL8 0.5D-B-2 150 200 1450 0.5d
Depth
of
Beam
SL9 0.5D-B-3 150 200 1450 0.5d
Depth
of
Beam
Fig.-4: Reinforced Concrete Beam with 0.5Depth
Level of Fiber
Table-4: Tensile bar depth Level of Fiber Reinforced
Concrete Beams
Serial
no.
Beam
designation
Beam
Width
(mm)
Depth
of
Beam
(mm)
Length
of
beam
(mm)
Use of
Fiber
SL10 TL.SB(F)-
B-1
150 200 1450 Top
Level
of
Tensile
Steel
Bar
SL11 TL.SB(F)-
B2
150 200 1450 Top
Level
of
Tensile
Steel
Bar
SL12 TL.SB(F)-
B-3
150 200 1450 Top
Level
of
Tensile
Steel
Bar
Fig.-5: Reinforced Concrete Beam
(Fiber reinforced up to top level of tensile reinforced zone)
Serial
no.
Beam
designa
tion
Beam
Width
(mm)
Depth
of
Beam
(mm)
Length
of
beam
(mm)
Use of
Fiber
SL4 F/B-1 150 200 1450
Full
Depth
of
Beam
SL5 F/B-2 150 200 1450
Full
Depth
of
Beam
SL6 F/B-3 150 200 1450
Full
Depth
of
Beam
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
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Volume: 04 Issue: 2015 | Jan-2015, Available @ http://www.ijret.org 168
Table-5: Concrete Material Properties
{IS:456-2000(CL: 6.2)], [11],[26]}
Table-6: Steel bar reinforcement properties
{IS: 456-200(CL 5.6.3)],[ IS :1786 – 1985], [10]}
Table-7: Steel Fiber Properties [12]
Material
types
Elastic
modulus
(GPa)
Average
Strength
(MPa)
Homogeneity Poisson's
Ratio
Steel
fiber
200 828 10 0.3
3. TEST MATERIALS
3.1 Cement
Portland Pozzolana Cement as per IS: 1489(part 1)-1991has
been used throughout the investigation. The properties of
cement have been found from the laboratory test are
Fineness (90μ Sieve)=5 %, Normal consistency=34%, Initial
& Final setting time =75minute & 216minute respectively
and 28 days Compressive strength= 55.63 MPa.
3.2 Fine Aggregate
Natural River sand having specific gravity of 2.63, fineness
modulus of 3.28 and water absorption of 2.21 % has been
used. The sand also conforms to the grading zone III as per
(IS: 383-1970) Indian Standard specifications.
3.3 Coarse Aggregate
Well graded aggregate, obtained using locally available
crushed stone aggregates of 12.5 mm size with fineness
modulus of 5.82 and 10 mm size with fineness modulus of
3.861 having specific gravity of 2.85, have been used
throughout the investigation. Water absorptions have been
found to be 2.13 % and 2.21 % for 12.5 mm and 10 mm
aggregates respectively.
3.4 Water
Portable water free from any harmful amounts of oils,
alkalis, sugars, salts and organic materials has been used for
mix proportioning and curing of the RC specimens.
3.5 Steel Fiber
The steel fibers used in the present study were round and
straight fibers. The diameter and length of the fibers were
df=0.7 mm and lf=28 mm, respectively, and, thus, the aspect
ratio was 40. The volume of steel fiber has been used in the
concrete mixes is 1% of the total volume of the demarcated
concrete throughout the investigation.
3.6 Tension Reinforcement
12 mm diameter bars were used as tension reinforcement
whose yield strength was 415MPa.
3.7 Mix Design
The high strength concrete mix design was done using IS:
10262–2009. By conducting trial mixes and making suitable
adjustments in the mix proportion for good slump and
requisite strength, the following mix proportion has finally
been arrived at as shown in Table-8.
Table-8: Mix Proportion of Concrete
Content Water Cement F.A. C.A.
(kg) 197 394 641.93 1236.67
Ratio 0.5 1.0 1.629 3.13
4. BEAM DETAILS AND TESTING
4.1 Beam Designation
A total of four sets of experiments each having three
concrete beams, one set control beam and three sets with
randomly distributed discrete steel fiber at different depths
henceforth noted as fiber reinforced concrete (FRC) beam.
These beams are designated as shown Tables 1, 2, 3 and 4
for control beam, fully fiber reinforced concrete beam, half
depth level fiber reinforced concrete beam and fiber
reinforced up to top level of tensile reinforced zone
respectively. On the other hand, Figs. 2 to 5 represent the
sectional view of still fiber level of such beam specimens
respectively.
Type Diameter
of bar
(mm)
Yield
stress(fy)
N/mm2
Elasticity
modulus
(Es)
N/mm2
Tensile
strength
N/mm2
Density
of steel
kg/m3
High
yield
Steel
(Fe 415)
12 (Main
Bar) 415 200,000 485 7850
High
yield
Steel
(Fe 415)
8(Stirrups
and
Hanger
Bar)
415 200,000 485 7850
Type Compressive
Strength
(fck)
N/mm2
Flexural
Strength
(fcr)
N/mm2
Elasticity
modulus
(Ec)
N/mm2
Density
of
concrete
kg/m3
Plain
concrete 25 3.5 25,000 2400
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
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Volume: 04 Issue: 2015 | Jan-2015, Available @ http://www.ijret.org 169
4.2 Test Procedure
The beams were tested under two point loading on 1000 kN
loading frame. The test specimen was simply supported on
rigid supports. Two point loads were applied through a rigid
spread beam. The specimen was loaded using a 1000 kN
jack which has a 1000kN load cell to monitor the load. The
loading were performed through displacement control with a
rate of 0.04 mm/sec. Based on the shear span, the support of
the spread beam was adjusted. A linear voltage differential
transducer (LVDT) was used to measure the vertical
deflection at mid-span and under the load points. The test
process was monitored on a computer screen, and all load
and deformation data were recorded and stored in a diskette
via a data logger. At the end of every 20 kN load increment,
observations and measurements were recorded for the crack
development and propagation on the beam surfaces. Three
LVDTs were provided, one at the center of the span and
others under the loading point positions to measure
deflections. The load and deflections were monitored and
recorded for every 4 seconds. The load at which the
diagonal crack and the ultimate shear crack developed was
also recorded. Crack patterns were marked on the beams.
The test set-up is presented in Fig.7.
Fig.-6: Details of Test Beams with arrangement of Loads
and Supports
Fig.-7: Beam and LVDT arrangement in 1000 kN Loading
Frame
5. RESULTS AND DISCUSSION
5.1 Ultimate Load and Modes of Failure
The development and propagation of cracks were recorded
on the surface of specimens during the test as shown in Figs.
8, 9, 10, and 11. The first crack due to flexure occurred at
the mid-span region when the applied load reached 10-40%
of ultimate load and thereafter the cracks were propagated
up to mid-depth of beam section. The diagonal crack
appeared as the applied load reached 40 - 80 % of ultimate
load and propagated rapidly in shear span region. Most of
the beam specimens failed finally through flexure-shear
cracking and in few cases (mainly for fully fiber beams)
were shown the flexure failure trend.
It is well known that the shear span-to-depth (a/d)
ratios of specimens affect the crack development and failure
modes. But it was observed that due to the use of steel fiber
reinforcement at different depth level of the beams, shear
compression failure mode occurred in these specimens.
Similar observations were also made for the controlled beam
specimens.
It was observed from Fig.8 for the Reinforced
Concrete Beam (i.e. control beams) that in the region of the
mid span, flexure-shear cracks were initiated from the
bottom level of such beams at a load approximately 150 kN
and propagated with increase in load; whereas the shear
cracks started appearing at a load of approximately 350 kN
and continued to propagate and widened with the elevated
load till the final failure occurred at on an average load of
710 kN. The mode of failure was observed to be shear
crushing of the concrete.
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 04 Issue: 2015 | Jan-2015, Available @ http://www.ijret.org 170
Fig.-8: The crack patterns of Reinforced Concrete Beam
(i.e. control beams) Specimens
For specimen F/B-3 which was fully steel fiber reinforced
with stirrups, no cracks were visible on the sides of the beam
until 200 kN load was reached. On the other hand, diagonal
shear crack was observed near the middle of shear spans
when the applied load reached at 300 kN level. Finally, the
beam failed at a load of 850 kN. It was observed for the fully
fiber reinforced concrete beams that in the region of the mid
span, flexure cracks were initiated from the bottom level of
such beams at a load of approximately 350 kN and further
propagated with increased load. It is evident for the test
results (vide Table- 9) that there was an average increase of
20% in ultimate load capacity of fully FRC beam specimens
as compared to control beam specimens. The mode of failure
was observed to be shear compression of such beam
specimens.
Fig.-9: The crack patterns of Fully Fiber RC Beam
Specimens
For specimen 0.5D-B-3, which was reinforced with steel
fiber up to half depth of the beam along with stirrups, the
first crack was occurred at 250 kN at the bottom mid span of
the beam. This beam exhibited the first crack at a higher
load than the control beam P/B-1 (150kN) due to the
presence of the steel fiber. It was observed for specimens
reinforced with steel fiber up to half depth of the beam that
in the region of the mid span, flexure-shear cracks were
initiated from the bottom level and continues to propagate
with increased load. The corresponding failure load
occurred at 750 kN. The enhancement of the failure load
was observed which is of the order of average 6% higher in
comparison to that of the control beam. The mode of failure
was observed to be shear compression of such specimens
.
Fig.-10: The Crack Patterns of 0.5 Depth Level of Fiber RC
beam Specimens
On the other hand, for the TL.SB(F)-B-3 which was used
with steel fiber reinforced up to top level of main
reinforcement bar with stirrups, the first crack was seen at
200 kN load level at the bottom mid span of the beam . It
was also observed for this beam that in the region of the mid
span, flexure shear cracks were initiated from the bottom
level of such beams at a load of approximately 248 kN and
continue to propagate with increasing load. While the
ultimate load was recorded as 730 kN with 4% average
increase in load capacity over and above the control beam
P/B-1. Shear compression mode of failure was observed for
such types of beam specimens.
Fig.-11: The Crack Patterns of Tensile bar Depth Level of
Fiber RC Beam Specimens
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
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Volume: 04 Issue: 2015 | Jan-2015, Available @ http://www.ijret.org 171
Table-9: Experimental Results
Fig.-12: Average Ultimate load verses Specimens
5.2 Load Deflection Behaviour
The load-deflection plots for all the tested beam specimens are as shown in Fig.13, Fig.14 Fig.15.and Fig.16. All the steel fiber
incorporated beam specimens showed better load deflection characteristics than the control beam specimens. It is also observed
that all the beam specimens incorporated with steel fiber exhibit linear behavior comparatively at higher load level before the
appearance of the first crack. These has significantly enhanced the strength capacity and increased the ultimate load of damaged
beams and have given better performance in comparison to the controlled plain reinforced beams.
Specimen Beam
Designation
First Crack load
(kN)
Ultimate load
( kN )
Shear Force
( kN )
Max Mid
Deflection
(mm)
Mode of failure
Reinforced
concrete beam
P/B-1 150 720 360 16 Shear compression
P/B-2 145 710 355 16 Shear compression
P/B-3 150 700 350 15 Shear compression
Fiber reinforced
concrete beam
F/B-1 310 830 415 13 Shear compression
F/B-2 300 820 410 12 Shear compression
F/B-3 320 840 420 14 Shear compression
0.5D depth of
Fiber level,
reinforced
concrete beam
0.5D-B-1 260 740 370 13 Shear compression
0.5D-B-2 260 770 385 13 Shear compression
0.5D-B-3 250 750 375 14 Shear compression
The Depth of
fiber up to top
level of tensile
reinforcement
Bar, reinforced
concrete beam
TL.SB(F)-B-1 200 720 360 14 Shear compression
TL.SB(F)-B-2 210 730 365 13 Shear compression
TL.SB(F)-B-3 200 740 370 14 Shear compression
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
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Volume: 04 Issue: 2015 | Jan-2015, Available @ http://www.ijret.org 172
Fig.-13: Load deflection plot of beam specimens in Reinforced Concrete Beam
Fig.-14: Load Deflection Plot of Fully Fiber Concrete Beam Specimens
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
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Volume: 04 Issue: 2015 | Jan-2015, Available @ http://www.ijret.org 173
Fig.-15: Load Deflection Plot of 0.5 Depth Level of Fiber RC beam Specimens
Fig.-16: Load Deflection Plot of Top Level of Tensile Steel Bar of Fiber RC Beam Specimens
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
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6. CONCLUSIONS
From the study conducted on the strengthening of concrete
beams using Steel Fiber at different depth of the beam; the
following conclusions were drawn:
1. Steel fibers reinforcement, main reinforcement and
stirrups are found to be effective in shear
strengthening of concrete beams.
2. The FRC beams of all types have shown
improvement in terms of first crack load, ultimate
load and deflection characteristics when compared
to that of the control beam.
3. The overall performances of all the FRC beams
were superior to that of the control beam.
4. The beam specimen incorporated fully with steel
fiber reinforcement has exhibited an increase of
average 20 % in ultimate load, when compared to
the control beam specimens. Whereas the beams
incorporated with steel fibers up to half depth and
tensile steel bar depth levels have shown
enhancement of ultimate load of the order of 4% to
10% when compared with those of the control
beam specimens.
5. The ultimate shear and bending capacities of all the
FRC beams were more than that of the control
beam specimens. The FRC beam specimens
reinforced with fully steel fiber have attained an
increase of 20% in the shear capacity, when
compared to the control beam specimens.
6. All types of FRC beam specimens have shown
better load deflection characteristics than the
control beam specimens. For any particular load,
the deflection of all such beam specimens was
lower than that of the control beam specimens.
7. Shear compression failure mode have been
observed for all types of beam specimens
irrespective of steel fiber incorporation in such
specimens. The flexural crack has been seen only
for the fully FRC beam specimens.
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IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 04 Issue: 2015 | Jan-2015, Available @ http://www.ijret.org 175
[18]. Sudheer Reddy.L , Ramana Rao .N.V, Gunneswara
Rao T.D., “Shear Resistance of High Strength Concrete
Beams Without Shear Reinforcement.”, International
Journal of Civil and Structural Engineering, Vol.1, Issue 1,
(2010).
[19].Yasmeen Taleb Obaidat, “Using Carbon Fiber
Reinforced Polymer.” www. byggmek. lth.se / fileadmin /
byggnadsmekanik /web3070.pdf, Copyright © 2010 by
Structural Mechanics, LTH, Sweden.Printed by Wallin &
Dalholm Digital AB, Lund, Sweden, (Pl) (2010).
[20].Obaidat, Y.T., Heyden, S., Dahlblom, O., Abu-Farsakh,
G., and Abdel-Jawad, Y.“Retrofitting of reinforced concrete
beams using composite laminates ”Submitted to
Construction & Building Materials, vol. 25, Issue 2, (2010).
[21]. Nabil Mohamed EmhdaB alnatit, “Computational
Study on Shear Strengthening of RC Continuous Beams
Using CFRP Sheet.” https: // eprints. uthm. edu. My / 1751
/1/nabil_mohamed2.pdf, Faculty of Civil and Environmental
Engineering University Tun Hussein On Malaysia (UTHM),
pp. 1-79, (2011).
[22]. R.Santhakumar,E.Chandrasekaran and R.Dhanaraj,
“Analysis of Retrofitted Reinforced Concrete Shear Beams
using Carbon Fiber Composites” Dept. of Civil Engg. and
Aeronautical Engg., Crescent Engg. College and MIT, Anna
University, India. Vol. 123, Issue 7, (2004).
[23].S. Deepa Raj and R.S. Surumi, “Shear Strengthening of
Reinforced concrete Beams Using Near Surface Mounted
Glass Fibre Reinforced Polymer” Asian Journal of Civil
Engineering(Building and Housing), Vol. 13, Issue 5, pp.
679-690, (2012).
[24]. Dat Duthinh and Monica Starnes, “Strengthening of
Reinforced Concrete Beams with Carbon fiber FRP.”,
Journal of composite in Construction, pp. 493-498, (2001).
[25].IS:383-1970, Specification for Coarse and Fine
Aggregate from Natural Sources for Concrete, BIS, New
Delhi, India.
[26]. IS: 2386 Part III-1963, Methods of test for Aggregates
for Concrete, BIS, New Delhi, India.
[27]. IS: 456-2000, Plain and Reinforced Concrete-Code of
Practice, BIS, New Delhi, India.
[28].IS:10262-2009, Recommended Guidelines for Concrete
Mix Design, BIS, New Delhi, India.
BIOGRAPHIES
Prakash Mondal, Assistant
Professor at the Dept of Civil
Engineering, Dr. B. C. Roy
Engineering College Durgapur,
(W.B.), India. Research interests:
Theory of reinforced concrete
behaviour, composite structures,
strengthening the reinforced concrete
structures, behavior of Steel Fiber.
Email:prakashmondalnit@gmail.com
Dilip Kumar Singha Roy, Professor
at the Dept of Civil Engineering,
National Institute of Technology
Durgapur, WestBengal, India.
Research interests: Structural
Engineering - Comp. and Exp.
Mechanics Of Concrete and
Composite Structures and Materials,
Retrofitting and Strengthening Of
Structural Elements.
E-mail: dsr_rec_dgp@yahoo.com

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Strengthening of reinforced concrete beam using steel fiber at different depth of the beam

  • 1. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 04 Issue: 2015 | Jan-2015, Available @ http://www.ijret.org 165 STRENGTHENING OF REINFORCED CONCRETE BEAM USING STEEL FIBER AT DIFFERENT DEPTH OF THE BEAM Prakash Mondal 1 , Dilip Kumar Singha Roy 2 1 Assistant professor, Department of Civil Engineering, Dr. B.C.Roy Engineering College,Durgapur, WestBengal, India 2 Professor, Department of Civil Engineering, National Institute of Technology Durgapur, WestBengal, India Abstract This paper presents the results of an experimental investigation for enhancing the shear and ultimate strength capacities of reinforced concrete (RC) beams using steel fiber at different depths. Ultimate loads, load-deflection curves, cracking and crushing patterns have been compared with those of the RC beams without steel fiber henceforth noted as controlled beam. A total of four sets of experiments each having three concrete beams, one set control beam and three sets with randomly distributed discrete steel fiber at different depths henceforth noted as fiber reinforced concrete (FRC) beam, were performed to determine the most economical structure in the perspective of ultimate strength and shear capacity. From the test results, it was found that incorporation of steel fiber in RC beams have shown to be effective in enhancing the shear strength capacity. It has also been observed that the strength increases with the use of varying depth of steel fiber. Beam strengthened using this scheme has shown 20% increase in shear strength and ultimate load in comparison to controlled beam. Key Words: Reinforced Concrete Beams, High Strength Concrete, Steel fibers, strengthening --------------------------------------------------------------------***------------------------------------------------------------------- 1. INTRODUCTION During the past 30 years, attempts have been made to enhance strength of reinforced concrete beams by bonding steel fibers to beam in terms of flexural or shear strength. The concrete construction field has shown a growing interest in the advantages of introduction of fiber reinforcement in structural elements. Among the different fibers available, e.g. steel, synthetic, glass, and natural fibers, the steel fiber is probably the most investigated and most commonly used. Fiber reinforcement today is mainly used in many applications such as industrial beam & floors, overlays, and sprayed concrete, although other application areas exist. Addition of short, discontinuous fibers plays an important role in the improvement of the mechanical properties of concrete. Some of the potential benefits of fibers in concrete are improved crack control and more strength than plain concrete, and the possibility of designing more slender structures. However, the extent of the crack control depends to a large extent on the type and amount of fibers added. From the durability point of view it is essential to control the cracking process and, moreover, being able to predict crack widths and crack pattern as well as to design a structure that exhibits the desired behaviour. This behaviour of course, depends on a number of different factors such as structural type and size, type of concrete and type of steel fiber and, amount and type of reinforcement, and the casting procedure. In general, to achieve crack control, large amounts of conventional reinforcement are needed, especially in structures where only very small crack widths (w≤ 0.1 mm) are allowed. Negative effects from large amounts of reinforcement are that the structural dimensions often need to be larger than what is needed for load bearing capacity in order to make space for all the steel, the labour involvement in placing it, and also difficulties with pouring the concrete paste in tightly placed reinforcement bars of the steel cage. By using fibers in combination with or instead of the conventional reinforcement, these drawbacks may be reduced or even completely avoided. The use of steel fiber reinforced concrete (SFRC) is, thus, particularly suitable for structures when they are subjected to loads over the serviceability limit state in bending and shear, and when exposed to impact or dynamic forces, as they occur under seismic or cyclic action. However, there is still incomplete knowledge on the design/analysis of fiber- reinforced concrete structural members. FRC is a cement based composite material reinforced with discrete, usually randomly distributed, fibers [1, 2].The analysis of structural sections requires, as a basic prerequisite, the definition of a suitable stress-strain relationship for each material to relate its behaviour to the structural response. Many stress-strain relationships, in tension and in compression, for FRC materials have been proposed in literature by different authors. In particular, when fibers are added to a concrete mix, fiber characteristics such as their type, shape, aspect ratio Lf/Df, where Lf fiber length and Df fiber diameter, play an important role in modifying the behavior of the material [3]. Although it has been found that adding fibers to concrete mainly enhances the post-cracking properties in terms of a more ductile behaviour and reduced crack widths, it still remains to show that these enhanced mechanical
  • 2. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 04 Issue: 2015 | Jan-2015, Available @ http://www.ijret.org 166 properties can be predicted with reasonable accuracy and that they can be incorporated into design methods. Presently, a number of laboratory experiments on mechanical property of SFRC have been done. Pereira et. al. [4] presented an experimental research on the steel fiber- reinforced concrete and numerical simulation of punching test. Using notched cylindrical specimens, fracture energy of steel fiber reinforced concrete was measured, and a new trilinear cohesive law was proposed by Kazemi et. al.[5]. By testing the deformational behavior of conventionally reinforced steel fiber concrete beams in pure bending, Dwarakanath and Nagaraj[6] gave an economical and efficient use of steel fibers. The study results given by Thomas and Ramaswamy[7] indicated that the fiber and matrix interaction contributed significantly to enhancement of mechanical properties caused by the introduction of fibers. Numerical analysis and field test on performance of steel fiber reinforced concrete segment in subway tunnel were described by Zhu [8].Bending and uniaxial tensile tests on hybrid fiber reinforced concretes combining fibers with different geometry and material were presented by Sorelli et al.[9]. However, these investigations were mostly based on the Macro-phenomena of the specimen failure. The general laboratory experiments couldn’t give a thorough cognition to the deformation and destruction process of SFRC, particularly, in reflecting the basic features of deformation localization and stress redistribution. Hence, an attempt has been made in the present study to carry out a set of experiments on the SFRC specimens using discrete steel fibers randomly distributed at different depths of the beam. Moreover, study has been made on the load-deflection behaviour of layered steel fiber reinforced concrete beam which is important in view of its ductility aspect, the flexural strength and mode of failure. 1.1 OBJECTIVE 1. The main objective of present work is to study the behaviour of reinforced concrete beams strengthened with steel fiber. 2. To study the effect of steel fiber strengthening of RC Beams on ultimate load carrying capacity and failure pattern. 3. Comparative study of the crack pattern and crushing behavior between controlled beam and strengthened FRC beams. 1.2 SCIENTIFIC APPROACH This paper provides the test data related to behaviour of strengthening of RC beams using steel fiber. These data are useful for developing constitutive models for shear response of structural elements where high strength concrete is used. The experiments have been conducted based on two-point beam bending to investigate structural behaviour. 2. EXPERIMENTAL PROGRAMME Twelve reinforced concrete beams were cast and tested under two point loading, using fiber at three deferent depths for nine beams and three control beams. All specimens were design according to IS: 456-2000 with identical size of 1450x150x200 mm. All beams have identical reinforcement details including longitudinal reinforcement in the form of 12 mm diameter HYSD bar and stirrups reinforcement of 8 mm diameter at 130 mm spacing center to center as shown in Fig.1 with specimen details. The investigated beams have been divided into four sets with and without the use of fiber different depth of the beam. All beams were cast using ready mix concrete with compressive strength of 25 N/mm2 . Details of the test specimens of four set with and without the use of fiber at different depths of the RC beam have been presented in Tables 1to 4. Fig-1: Longitudinal and Cross sections details of RC beams Table-1: Details of Reinforced Concrete Beam Serial no. Beam designation Beam Width (mm) Depth of Beam(mm) Length of beam(mm) Use of Fiber SL1 P/B-1 150 200 1450 NO SL2 P/B-2 150 200 1450 NO SL3 P/B-3 150 200 1450 NO Fig-.2: Details of Reinforced Concrete Beam
  • 3. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 04 Issue: 2015 | Jan-2015, Available @ http://www.ijret.org 167 Table-2: Details of Fully Fiber Reinforced Concrete Beam Fig.-3: Fiber Reinforced Concrete Beam Table-3: Details of 0.5 Depth Level of Fiber Reinforced Concrete Beams Serial no. Beam designation Beam Width (mm) Depth of Beam (mm) Length of beam (mm) Use of Fiber SL7 0.5D-B-1 150 200 1450 0.5d Depth of Beam SL8 0.5D-B-2 150 200 1450 0.5d Depth of Beam SL9 0.5D-B-3 150 200 1450 0.5d Depth of Beam Fig.-4: Reinforced Concrete Beam with 0.5Depth Level of Fiber Table-4: Tensile bar depth Level of Fiber Reinforced Concrete Beams Serial no. Beam designation Beam Width (mm) Depth of Beam (mm) Length of beam (mm) Use of Fiber SL10 TL.SB(F)- B-1 150 200 1450 Top Level of Tensile Steel Bar SL11 TL.SB(F)- B2 150 200 1450 Top Level of Tensile Steel Bar SL12 TL.SB(F)- B-3 150 200 1450 Top Level of Tensile Steel Bar Fig.-5: Reinforced Concrete Beam (Fiber reinforced up to top level of tensile reinforced zone) Serial no. Beam designa tion Beam Width (mm) Depth of Beam (mm) Length of beam (mm) Use of Fiber SL4 F/B-1 150 200 1450 Full Depth of Beam SL5 F/B-2 150 200 1450 Full Depth of Beam SL6 F/B-3 150 200 1450 Full Depth of Beam
  • 4. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 04 Issue: 2015 | Jan-2015, Available @ http://www.ijret.org 168 Table-5: Concrete Material Properties {IS:456-2000(CL: 6.2)], [11],[26]} Table-6: Steel bar reinforcement properties {IS: 456-200(CL 5.6.3)],[ IS :1786 – 1985], [10]} Table-7: Steel Fiber Properties [12] Material types Elastic modulus (GPa) Average Strength (MPa) Homogeneity Poisson's Ratio Steel fiber 200 828 10 0.3 3. TEST MATERIALS 3.1 Cement Portland Pozzolana Cement as per IS: 1489(part 1)-1991has been used throughout the investigation. The properties of cement have been found from the laboratory test are Fineness (90μ Sieve)=5 %, Normal consistency=34%, Initial & Final setting time =75minute & 216minute respectively and 28 days Compressive strength= 55.63 MPa. 3.2 Fine Aggregate Natural River sand having specific gravity of 2.63, fineness modulus of 3.28 and water absorption of 2.21 % has been used. The sand also conforms to the grading zone III as per (IS: 383-1970) Indian Standard specifications. 3.3 Coarse Aggregate Well graded aggregate, obtained using locally available crushed stone aggregates of 12.5 mm size with fineness modulus of 5.82 and 10 mm size with fineness modulus of 3.861 having specific gravity of 2.85, have been used throughout the investigation. Water absorptions have been found to be 2.13 % and 2.21 % for 12.5 mm and 10 mm aggregates respectively. 3.4 Water Portable water free from any harmful amounts of oils, alkalis, sugars, salts and organic materials has been used for mix proportioning and curing of the RC specimens. 3.5 Steel Fiber The steel fibers used in the present study were round and straight fibers. The diameter and length of the fibers were df=0.7 mm and lf=28 mm, respectively, and, thus, the aspect ratio was 40. The volume of steel fiber has been used in the concrete mixes is 1% of the total volume of the demarcated concrete throughout the investigation. 3.6 Tension Reinforcement 12 mm diameter bars were used as tension reinforcement whose yield strength was 415MPa. 3.7 Mix Design The high strength concrete mix design was done using IS: 10262–2009. By conducting trial mixes and making suitable adjustments in the mix proportion for good slump and requisite strength, the following mix proportion has finally been arrived at as shown in Table-8. Table-8: Mix Proportion of Concrete Content Water Cement F.A. C.A. (kg) 197 394 641.93 1236.67 Ratio 0.5 1.0 1.629 3.13 4. BEAM DETAILS AND TESTING 4.1 Beam Designation A total of four sets of experiments each having three concrete beams, one set control beam and three sets with randomly distributed discrete steel fiber at different depths henceforth noted as fiber reinforced concrete (FRC) beam. These beams are designated as shown Tables 1, 2, 3 and 4 for control beam, fully fiber reinforced concrete beam, half depth level fiber reinforced concrete beam and fiber reinforced up to top level of tensile reinforced zone respectively. On the other hand, Figs. 2 to 5 represent the sectional view of still fiber level of such beam specimens respectively. Type Diameter of bar (mm) Yield stress(fy) N/mm2 Elasticity modulus (Es) N/mm2 Tensile strength N/mm2 Density of steel kg/m3 High yield Steel (Fe 415) 12 (Main Bar) 415 200,000 485 7850 High yield Steel (Fe 415) 8(Stirrups and Hanger Bar) 415 200,000 485 7850 Type Compressive Strength (fck) N/mm2 Flexural Strength (fcr) N/mm2 Elasticity modulus (Ec) N/mm2 Density of concrete kg/m3 Plain concrete 25 3.5 25,000 2400
  • 5. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 04 Issue: 2015 | Jan-2015, Available @ http://www.ijret.org 169 4.2 Test Procedure The beams were tested under two point loading on 1000 kN loading frame. The test specimen was simply supported on rigid supports. Two point loads were applied through a rigid spread beam. The specimen was loaded using a 1000 kN jack which has a 1000kN load cell to monitor the load. The loading were performed through displacement control with a rate of 0.04 mm/sec. Based on the shear span, the support of the spread beam was adjusted. A linear voltage differential transducer (LVDT) was used to measure the vertical deflection at mid-span and under the load points. The test process was monitored on a computer screen, and all load and deformation data were recorded and stored in a diskette via a data logger. At the end of every 20 kN load increment, observations and measurements were recorded for the crack development and propagation on the beam surfaces. Three LVDTs were provided, one at the center of the span and others under the loading point positions to measure deflections. The load and deflections were monitored and recorded for every 4 seconds. The load at which the diagonal crack and the ultimate shear crack developed was also recorded. Crack patterns were marked on the beams. The test set-up is presented in Fig.7. Fig.-6: Details of Test Beams with arrangement of Loads and Supports Fig.-7: Beam and LVDT arrangement in 1000 kN Loading Frame 5. RESULTS AND DISCUSSION 5.1 Ultimate Load and Modes of Failure The development and propagation of cracks were recorded on the surface of specimens during the test as shown in Figs. 8, 9, 10, and 11. The first crack due to flexure occurred at the mid-span region when the applied load reached 10-40% of ultimate load and thereafter the cracks were propagated up to mid-depth of beam section. The diagonal crack appeared as the applied load reached 40 - 80 % of ultimate load and propagated rapidly in shear span region. Most of the beam specimens failed finally through flexure-shear cracking and in few cases (mainly for fully fiber beams) were shown the flexure failure trend. It is well known that the shear span-to-depth (a/d) ratios of specimens affect the crack development and failure modes. But it was observed that due to the use of steel fiber reinforcement at different depth level of the beams, shear compression failure mode occurred in these specimens. Similar observations were also made for the controlled beam specimens. It was observed from Fig.8 for the Reinforced Concrete Beam (i.e. control beams) that in the region of the mid span, flexure-shear cracks were initiated from the bottom level of such beams at a load approximately 150 kN and propagated with increase in load; whereas the shear cracks started appearing at a load of approximately 350 kN and continued to propagate and widened with the elevated load till the final failure occurred at on an average load of 710 kN. The mode of failure was observed to be shear crushing of the concrete.
  • 6. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 04 Issue: 2015 | Jan-2015, Available @ http://www.ijret.org 170 Fig.-8: The crack patterns of Reinforced Concrete Beam (i.e. control beams) Specimens For specimen F/B-3 which was fully steel fiber reinforced with stirrups, no cracks were visible on the sides of the beam until 200 kN load was reached. On the other hand, diagonal shear crack was observed near the middle of shear spans when the applied load reached at 300 kN level. Finally, the beam failed at a load of 850 kN. It was observed for the fully fiber reinforced concrete beams that in the region of the mid span, flexure cracks were initiated from the bottom level of such beams at a load of approximately 350 kN and further propagated with increased load. It is evident for the test results (vide Table- 9) that there was an average increase of 20% in ultimate load capacity of fully FRC beam specimens as compared to control beam specimens. The mode of failure was observed to be shear compression of such beam specimens. Fig.-9: The crack patterns of Fully Fiber RC Beam Specimens For specimen 0.5D-B-3, which was reinforced with steel fiber up to half depth of the beam along with stirrups, the first crack was occurred at 250 kN at the bottom mid span of the beam. This beam exhibited the first crack at a higher load than the control beam P/B-1 (150kN) due to the presence of the steel fiber. It was observed for specimens reinforced with steel fiber up to half depth of the beam that in the region of the mid span, flexure-shear cracks were initiated from the bottom level and continues to propagate with increased load. The corresponding failure load occurred at 750 kN. The enhancement of the failure load was observed which is of the order of average 6% higher in comparison to that of the control beam. The mode of failure was observed to be shear compression of such specimens . Fig.-10: The Crack Patterns of 0.5 Depth Level of Fiber RC beam Specimens On the other hand, for the TL.SB(F)-B-3 which was used with steel fiber reinforced up to top level of main reinforcement bar with stirrups, the first crack was seen at 200 kN load level at the bottom mid span of the beam . It was also observed for this beam that in the region of the mid span, flexure shear cracks were initiated from the bottom level of such beams at a load of approximately 248 kN and continue to propagate with increasing load. While the ultimate load was recorded as 730 kN with 4% average increase in load capacity over and above the control beam P/B-1. Shear compression mode of failure was observed for such types of beam specimens. Fig.-11: The Crack Patterns of Tensile bar Depth Level of Fiber RC Beam Specimens
  • 7. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 04 Issue: 2015 | Jan-2015, Available @ http://www.ijret.org 171 Table-9: Experimental Results Fig.-12: Average Ultimate load verses Specimens 5.2 Load Deflection Behaviour The load-deflection plots for all the tested beam specimens are as shown in Fig.13, Fig.14 Fig.15.and Fig.16. All the steel fiber incorporated beam specimens showed better load deflection characteristics than the control beam specimens. It is also observed that all the beam specimens incorporated with steel fiber exhibit linear behavior comparatively at higher load level before the appearance of the first crack. These has significantly enhanced the strength capacity and increased the ultimate load of damaged beams and have given better performance in comparison to the controlled plain reinforced beams. Specimen Beam Designation First Crack load (kN) Ultimate load ( kN ) Shear Force ( kN ) Max Mid Deflection (mm) Mode of failure Reinforced concrete beam P/B-1 150 720 360 16 Shear compression P/B-2 145 710 355 16 Shear compression P/B-3 150 700 350 15 Shear compression Fiber reinforced concrete beam F/B-1 310 830 415 13 Shear compression F/B-2 300 820 410 12 Shear compression F/B-3 320 840 420 14 Shear compression 0.5D depth of Fiber level, reinforced concrete beam 0.5D-B-1 260 740 370 13 Shear compression 0.5D-B-2 260 770 385 13 Shear compression 0.5D-B-3 250 750 375 14 Shear compression The Depth of fiber up to top level of tensile reinforcement Bar, reinforced concrete beam TL.SB(F)-B-1 200 720 360 14 Shear compression TL.SB(F)-B-2 210 730 365 13 Shear compression TL.SB(F)-B-3 200 740 370 14 Shear compression
  • 8. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 04 Issue: 2015 | Jan-2015, Available @ http://www.ijret.org 172 Fig.-13: Load deflection plot of beam specimens in Reinforced Concrete Beam Fig.-14: Load Deflection Plot of Fully Fiber Concrete Beam Specimens
  • 9. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 04 Issue: 2015 | Jan-2015, Available @ http://www.ijret.org 173 Fig.-15: Load Deflection Plot of 0.5 Depth Level of Fiber RC beam Specimens Fig.-16: Load Deflection Plot of Top Level of Tensile Steel Bar of Fiber RC Beam Specimens
  • 10. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 04 Issue: 2015 | Jan-2015, Available @ http://www.ijret.org 174 6. CONCLUSIONS From the study conducted on the strengthening of concrete beams using Steel Fiber at different depth of the beam; the following conclusions were drawn: 1. Steel fibers reinforcement, main reinforcement and stirrups are found to be effective in shear strengthening of concrete beams. 2. The FRC beams of all types have shown improvement in terms of first crack load, ultimate load and deflection characteristics when compared to that of the control beam. 3. The overall performances of all the FRC beams were superior to that of the control beam. 4. The beam specimen incorporated fully with steel fiber reinforcement has exhibited an increase of average 20 % in ultimate load, when compared to the control beam specimens. Whereas the beams incorporated with steel fibers up to half depth and tensile steel bar depth levels have shown enhancement of ultimate load of the order of 4% to 10% when compared with those of the control beam specimens. 5. The ultimate shear and bending capacities of all the FRC beams were more than that of the control beam specimens. The FRC beam specimens reinforced with fully steel fiber have attained an increase of 20% in the shear capacity, when compared to the control beam specimens. 6. All types of FRC beam specimens have shown better load deflection characteristics than the control beam specimens. For any particular load, the deflection of all such beam specimens was lower than that of the control beam specimens. 7. Shear compression failure mode have been observed for all types of beam specimens irrespective of steel fiber incorporation in such specimens. The flexural crack has been seen only for the fully FRC beam specimens. REFERENCES: [1].A. Bentur, & S.Mindess,“Fibre Reinforced Cementitious Composites.”,(Elsevier Science Publishers Ltd, 1990), London. [2].S.P. Shah & C.Ouyang , “Mechanical behavior of fiber –reinforced cement –based composite.”, Journal of the American Ceramic Society, Vol. 74, Issue 11, pp. 2227- 2953, (1991). [3]. Dr.A.M.Pande, ER. Prashant Y.Pawade, “Effect of Steel Fibers on Modulus of Elasticity of concrete.”, IJAEST Vol. 7, Issue 2, pp. 169 – 177, (2011). [4].Eduardo N. B. Pereira, Joaquim A.O.Barros and Aires Camões,“Steel Fiber – Reinforced Self – Compacting Concrete”, Experimental Research and Numerical Simulation,Journal of Structural Engineering, Vol. 134, Issue 8, pp.1310-1321, (2008). [ 5]. M. T. Kazemi, F. Fazileh, and M. A. Ebrahiminezhad, “Cohesive Crack Model and Fracture Energy of Steel-Fiber- Reinforced-Concrete Notched Cylindrical Specimens” Journal of Material in Civil Engineering, Vol. 19, Issue 10, pp.884-890, (2007). [6]. H. V. Dwarakanath and T. S. Nagaraj.Deformational, “ Behavior of Reinforced Fiber Reinforced Concrete Beams in Bending,” Journal of Structural Engineering, Vol. 118, Issue 10, pp.2691-2698, (1992). [7].Job Thomas and Ananth Ramaswamy. “Mechanical Properties of Steel Fiber-Reinforced Concrete.”, Journal of Material in Civil Engineering, Vol. 19, Issue 5, pp.385-392, (2007). [8]. Hehua Zhu et al., “Numerical Analysis and Field Test on Performance of Steel Fibre Reinforced Concrete Segment in Subway Tunnel”, Proceedings of Sessions of Geo Shanghai, Editors Shanghai, China, (2006). [9]. L. G. Sorelli, A. Meda, and G. A. Plizzari. ,“Bending and Uniaxial Tensile Tests on Concrete Reinforced with Hybrid Steel Fibers.”, Journal of Material in Civil Engineering, Vol. 17, Issue 5, pp.519-527, (2005). [10].Glenn Elert , “Topic 3.5b Stress probs2 ( Determinate). www. hypertextbook. Com /facts /2004 /Karen Suther land shtml, University of Wisconsin-Stout Physics Department, (1998). [11].McGraw-Hill, “Encyclopedia of Science and Technology”, www. amazon. Com, the sixth edition, Vol.- 1,ISBN 978-0-07-161366-8, (2009). [12]. R.S. Londhe,“Experimental Investigation on Shear Strength of SFRC Beams Reinforced with Longitudinal Tension Steel Rebars” Asian Journal of Civil Engineering (Building and Housing) Vol. 11, Issue 3, pp. 385-395, (2010). [13].Anette jansson,“Fibers in reinforced concrete structures –analysis, experiments and design” www. publications. lib. chalmers.se/records/ fulltext / 68889.pdf, Department of Civil and Environmental Engineering, Division of Structural Engineering Chalmers University of Technology, Göteborg, Sweden, ISSN 1652-9146, (2008). [14]. C.Q. Fu, X.Y. Jin, N.G. Jin, "Numerical Experiment on Flexural Properties of Steel Fiber Reinforced Concrete Beam," WRI World Congress on Computer Science and Information Engineering, csie, Vol. 7, pp.755-759,( 2009). [15].M.Barbato, “Efficient finite element modelling of reinforced concrete beams retrofitted with fibre reinforced polymers.”,Department of Civil and Environmental Engineering, Louisiana State University, USA, Vol. 87, Issue 3-4, (2009). [16]. Padmanabha Rao Tedepalli,Y .L.MO,Thomas T.C.Hsu and John Vogel ,“Mechanical Properties of steel Fiber Reinforced Concrete Beams.” ,Structures Congress, pp. 1- 10, (2009). [17]. Sydney Furlan Jr and Joao Bento de Hanai, “Shear behaviour of fiber reinforced concrete beams.”, Elsevier (Cement and Concrete Composite) Vol.19, Issue No 4, pp.359-366, (1997).
  • 11. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 04 Issue: 2015 | Jan-2015, Available @ http://www.ijret.org 175 [18]. Sudheer Reddy.L , Ramana Rao .N.V, Gunneswara Rao T.D., “Shear Resistance of High Strength Concrete Beams Without Shear Reinforcement.”, International Journal of Civil and Structural Engineering, Vol.1, Issue 1, (2010). [19].Yasmeen Taleb Obaidat, “Using Carbon Fiber Reinforced Polymer.” www. byggmek. lth.se / fileadmin / byggnadsmekanik /web3070.pdf, Copyright © 2010 by Structural Mechanics, LTH, Sweden.Printed by Wallin & Dalholm Digital AB, Lund, Sweden, (Pl) (2010). [20].Obaidat, Y.T., Heyden, S., Dahlblom, O., Abu-Farsakh, G., and Abdel-Jawad, Y.“Retrofitting of reinforced concrete beams using composite laminates ”Submitted to Construction & Building Materials, vol. 25, Issue 2, (2010). [21]. Nabil Mohamed EmhdaB alnatit, “Computational Study on Shear Strengthening of RC Continuous Beams Using CFRP Sheet.” https: // eprints. uthm. edu. My / 1751 /1/nabil_mohamed2.pdf, Faculty of Civil and Environmental Engineering University Tun Hussein On Malaysia (UTHM), pp. 1-79, (2011). [22]. R.Santhakumar,E.Chandrasekaran and R.Dhanaraj, “Analysis of Retrofitted Reinforced Concrete Shear Beams using Carbon Fiber Composites” Dept. of Civil Engg. and Aeronautical Engg., Crescent Engg. College and MIT, Anna University, India. Vol. 123, Issue 7, (2004). [23].S. Deepa Raj and R.S. Surumi, “Shear Strengthening of Reinforced concrete Beams Using Near Surface Mounted Glass Fibre Reinforced Polymer” Asian Journal of Civil Engineering(Building and Housing), Vol. 13, Issue 5, pp. 679-690, (2012). [24]. Dat Duthinh and Monica Starnes, “Strengthening of Reinforced Concrete Beams with Carbon fiber FRP.”, Journal of composite in Construction, pp. 493-498, (2001). [25].IS:383-1970, Specification for Coarse and Fine Aggregate from Natural Sources for Concrete, BIS, New Delhi, India. [26]. IS: 2386 Part III-1963, Methods of test for Aggregates for Concrete, BIS, New Delhi, India. [27]. IS: 456-2000, Plain and Reinforced Concrete-Code of Practice, BIS, New Delhi, India. [28].IS:10262-2009, Recommended Guidelines for Concrete Mix Design, BIS, New Delhi, India. BIOGRAPHIES Prakash Mondal, Assistant Professor at the Dept of Civil Engineering, Dr. B. C. Roy Engineering College Durgapur, (W.B.), India. Research interests: Theory of reinforced concrete behaviour, composite structures, strengthening the reinforced concrete structures, behavior of Steel Fiber. Email:prakashmondalnit@gmail.com Dilip Kumar Singha Roy, Professor at the Dept of Civil Engineering, National Institute of Technology Durgapur, WestBengal, India. Research interests: Structural Engineering - Comp. and Exp. Mechanics Of Concrete and Composite Structures and Materials, Retrofitting and Strengthening Of Structural Elements. E-mail: dsr_rec_dgp@yahoo.com