Page 1 of 7
Journal for Studies in Management and Planning
Available at
http://edupediapublications.org/journals/index.php/JSMaP/
e-I SSN: 2395 -0463
Vol ume 02 I s s ue 9
September 2016
Available online: http://edupediapublications.org/journals/index.php/JSMaP/ P a g e | 171
Experimental and analytical study on GFRP
reinforced concrete deep beams
1Pamuru Mallemkondaiah, 14FF1D8705, p.malli.114@gmail.com
Mandava Institute of Engineering and Technology,
Vidya Nagar, Krishna District, Jaggayyapet, Andhra Pradesh, 521175
2Mr. D. Aditya Sairam, M-Tech. Associate Professor
Abs tract:
Corrosion of steel in reinforced concrete
structures is one of the biggest challenges faced by
the civil construction industry today. In reinforced
concrete structures, corrosion of steel reinforcement
due to harsh environmental conditions considerably
reduces the durability and life span of these
structures. To overcome this corrosion problem,
many new techniques have been tried and found to
be either expensive or ineffective. Fiber Reinforced
Polymer (FRP) materials in the form of solid bars
has been successfully tried as a substitute for steel
reinforcement in concrete structures.
FRP materials are anti-corrosive, have low
weight to strength ratio and are used for various
modern engineering applications. Considerable
research has been carried out to study the flexural
and shear behaviour of FRP reinforced slender
concrete beams. However, very little effort has been
taken to study the behaviour of Reinforced Concrete
(RC) deep beams reinforced with FRP rebars. This
work is an attempt to study the shear behaviour of
RC deep beams reinforced with Glass Fiber
Reinforced Polymer (GFRP) web reinforcement. A
concrete deep beam reinforced with FRP is
vulnerable to brittle failure under shear load
conditions as, individually, both concrete and FRP
have the tendency for brittle failure under shear
loading conditions.
As the FRP reinforcements which were
needed for this experimental work with required
dimensions were not commercially available, the
GFRP reinforcement bars and stirrups used in this
work were fabricated by a simple method devised by
the researcher called “Manual Fiber-Trusion”. The
main advantage of manufacturing GFRP
reinforcement by this method is that, the
reinforcement can be fabricated to any desired size
and shape with a combination of fiber volume
content of 75% and resin content of 25% without any
filler material being used. This increase in fiber
volume fraction in turn has substantially increas ed
the tensile strength of the GFRP reinforcement.
A deep beam is a structure whose depth is
comparable to its span. The failure in deep beams is
mainly due to shear rather than flexure. In this
experimental work, tests were conducted on thirteen
concrete deep beams with different configurations of
GFRP web reinforcement. The variable parameters
considered are the percentage of web reinforcements
and “shear span to depth” (a/d) ratio. All the other
parameters were kept constant. The thirteen deep
beams were cast with and without GFRP web
reinforcement and were tested in this work. The
testing was done in two stages - in the first stage, i.e.
in Series-I, nine deep beams were tested with a
“shear span to effective depth” ratio of 0.72 and the
results showed a substantial increase in the ultimate
shear load carrying capacity for deep beams
reinforced with GFRP web reinforcement when
compared to those without web reinforcement.
Considering this significant increase, four more deep
beams were cast in the second stage i.e. Series-II and
were tested with a “shear span to effective depth”
ratio of 1.08.
The results obtained from the experiments
conducted demonstrate that the GFRP web
reinforcements were more effective in increasing the
ultimate shear capacity of deep beam especially
when the “shear span to effective depth” (a/d) ratio
had a lower value.
The experimental results were also compared
with analytical “Strut-and-tie” models and the results
were found to be within the acceptable limits. The
Strut-and-Tie method of modelling is widely used in
the design of steel reinforced concrete deep beams.
This method was adopted due to its flexibility in
designing structures which are subjected to a
complex state of stress. The results obtained by STM
modelling in this work were found to be greater
compared to the experimental results. An attempt has
been made to propose a suitable modification in the
ACI 318-08 code so that it could be adopted for
design of GFRP reinforced concrete deep beams with
a small a/d ratio to obtain better results.
Finally, after analysis of the experimental results,
a design equation was formulated to predict the shear
carrying capacity of GFRP web reinforced deep
Page 2 of 7
Journal for Studies in Management and Planning
Available at
http://edupediapublications.org/journals/index.php/JSMaP/
e-I SSN: 2395 -0463
Vol ume 02 I s s ue 9
September 2016
Available online: http://edupediapublications.org/journals/index.php/JSMaP/ P a g e | 172
beams. The results obtained by using this equation
were found to be acceptable and so, this equation
may be adopted for predicting the shear load capacity
of deep beams reinforced with GFRP web
reinforcement and loaded within a small ‘shear span
to depth ‘ratio.
Keywords
Glass Fiber Reinforced Polymer (GFRP), Fiber- reinforced polymers (FRP), web reinforcement.
1. Introduction
Fiber-reinforced polymers (FRP) are composite
materials which are made of fibers embedded in
polymeric resin. The most commonly used synthetic
fibers are made of glass fiber (GFRP), carbon fiber
(CFRP) and Aramid fiber (AFRP). Some of the
commonly used resin matrices that bind the fibers
together to form a FRP composite material are
polyester, vinyl ester, and epoxy groups.
The excellent characteristics and advantageous
properties of FRP materials are good corrosion
resistance, high strength, low weight, non- magnetic
and non-conductivity, high fatigue resistance, ease of
handle at construction site and ease to cut and color
code. These outstanding characteristics of FRP
materials make them an ideal material of choice to be
used as a reinforcing material.
The fiber reinforced composite, which are used
for many engineering applications, are made of high
strength fibers embedded within a suitable matrix
material which is in the form of a resin, which
confines the fibers. The fibers are embedded and
bonded in polymeric resin through which it is
impregnated during its manufacturing process. The
fibers after impregnating in resin are cured to obtain
the end product called ‘Fiber Reinforced Polymer’
(FRP) material.
The fibers which take up the major part of the
FRP composite’s load are kept aligned in a particular
direction to counter the external applied forces. The
orientation of the fibers depends on the type and
position of the applied load for which it is designed.
The resin, functioning as matrix material, apart from
keeping the fibers in the correct position and
orientation, also facilitates the load transfer
mechanism between the external applied load and the
fibers. Added to this, the resin plays an important
role in protecting the fibers when exposed to extreme
environmental conditions.
Currently several types of fibers and resins are
commercially available. The type of fiber and resin
chosen for a particular FRP composite material
depends on factors such as cost, strength required
and their functional application. The most common
type of fibers used in FRP materials are Glass,
Carbon and Aramid fibers. These fibers are available
in different forms such as short chopped fibers,
roving, woven mat forms, etc.
Depending upon the application of the FRP
composites, the type of fiber and resin to be used is
selected. Among all the fibers, Glass fiber is the most
economically available fiber and is widely used in
civil engineering applications. Thus the ‘Glass Fiber
Reinforced Polymer’ (GFRP) has gained more
importance in Civil Engineering applications.
The resin in the form of polymer is mainly
classified under two different groups based on the
cross-link bond formation within the polymer during
polymerization. These polymers are grouped under
‘thermoset’ polymers and ‘thermoplastic’ polymers.
The ‘thermoset’ polymers are relatively stronger in
their performance due to the presence of cross-link
bonds which once formed cannot be broken. On the
other hand ‘thermoplastic’ polymers do not develop
these cross-links and hence they have relatively
lower strength and they can be melted easily by the
application of heat even after polymerization. The
most commonly used ‘thermoset’ polymers are
epoxies, polyesters, polyimides, etc. Among the
many ‘thermoset’ polymers the epoxy polymer has
been proved to perform well.
The ‘thermoplastic’ polymers are usually not
preferred for high strength applications in civil
engineering.
The need for exploiting the shear strength of FRP
deep beams has been felt necessary by earlier
researchers. Some researchers have attempted to
study the shear behavior of short beams whose ‘shear
span to effective depth’ ratio lies between 1.0 to 2.5.
There is no record of any experimental work done on
FRP reinforced deep beams till date. Since no
research study or experimental work was done on
FRP reinforced deep beams with ‘shear span to
effective depth’ ratio less than 1.0, the need was felt
to make an attempt to study FRP reinforced concrete
deep beams.
2. MODELLING OF GFRP BEAMS
Modelling of GFRP reinforced deep beams was
done using “strut and tie” method.
Strut-and-Tie Method : The Strut-and-Tie Method
(STM) is an analytical modelling method has
become a popular technique of designing due to its
flexibility.
The idea of the strut-and-tie method originated
from the truss analogy method. The design basis of
this method is a truss model which idealizes the flow
of force in a cracked concrete beam.
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Journal for Studies in Management and Planning
Available at
http://edupediapublications.org/journals/index.php/JSMaP/
e-I SSN: 2395 -0463
Vol ume 02 I s s ue 9
September 2016
Available online: http://edupediapublications.org/journals/index.php/JSMaP/ P a g e | 173
The Strut-and-Tie model has become one of the
most useful design methods for structures which are
subject to shear critical load conditions. They are
also preferred to be used at disturbed regions in the
concrete structure where the stress variation across
the section is non-linear.
Strut-and-Tie Modelling of steel reinforced
concrete deep beams has been extensively carried out
during the last few decades. This method of design
has been approved and adopted as a design method
in the code of practice in many countries.
Modelling Of GFRP Reinforced Deep Beams Using
STM:
Till date there is no design code available for
modelling FRP reinforced concrete structures using
STM. Hence, in this study, the deep beams
reinforced with GFRP web reinforcement were
modelled using the code ACI-318-05 meant for steel
RC structures. Finally, a comparative study between
the experimental and STM results was done to
evaluate the code’s compatibility with FRP
reinforcement. All the beams tested in this work
were modelled individually as the web
reinforcements differed from one another.
The entire beam is considered to be a disturbed
region or ‘D-region’ which has a shear span to depth
ratio of 0.72. Due to a shorter shear span and a
greater depth of the beams in this study, there were
constraints in modelling them. Since the strut angle
was restricted to be between 25o and 65o as
prescribed by the ACI 318-05 code, the beams were
modelled to have the simplest combination of struts
and ties that can be adopted for a simply supported
beam. Each beam was modelled with a combination
of two struts and two ties. This was advantageous
from the point of view that the simplest combination
of struts and ties was expected to give the best result.
Figure 1: Strut-and-Tie Model
The compressive strength of concrete played an
important role in checking the bearing strength in
each beam.
STM Results and Analys is of Modelled Beams
All the thirteen beams were modelled based on
the test results obtained by experimentation. Each of
the modelled deep beams was subjected to the
ultimate load obtained from experimental results to
study and evaluate its capacity. The forces in the
strut and tie members of the modelled beams were
calculated using the design equation of ACI 318 -05
Code of Practice for design. A typical model
designed for beam GFRDB-1 is shown in Figure 2.
Figure 2: STM Model of Beam GFRDB-1with
internal forces
The Strut-and-Tie method of modelling GFRP
reinforced deep beams which was developed using
the AC1-318 -05 code was found to be higher
compared to the experimental values of the tested
deep beams.
Although the STM results were found to be
greater, the STM method of modelling can be
adopted for GFRP reinforced deep beams by suitable
modification to minimize the gap between the
experimental and modelled results.
Materials and Its Properties:
The concrete used for casting was prepared in the
testing laboratory using a portable concrete mixture
machine. All the specimens which were tested were
cast by using cement concrete and the cement used
was confirming to the specification of IS 8112
(1989) code. The concrete was designed to achieve
the 28 day compressive strength of 40 N/mm2 (M40
Grade). The concrete mix proportion adopted was 1:
1.02: 1.93 with water/cement ratio of 0.38. The
material proportions per cubic meter of concrete:
1) 1059 kgs of coarse aggregate (maximum
size 20mm).
2) 560 kgs of natural river sand (sp.gr =2.53)
