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IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
IC-RICE Conference Issue | Nov-2013, Available @ http://www.ijret.org 92
BEHAVIOR OF R.C.C. BEAM WITH CIRCULAR OPENING
STRENGTHENED BY CFRP AND GFRP SHEETS
Mithun Kuma1
r, Shivaraj Mangalagi2
, Rajendrakumar Harsoor3
1
M-tech Student, 2
Associate Professor, 3
Professor, Department of Civil Engineering, P.D.A. College of Engineering, Gulbarga,
Karnataka-State, India
mithunkumar034@gmail.com, mangalgishivraj@yahoo.com, rsharsoor@rediffmail.com
Abstract
This paper explores the behavior of R.C.C. beam with circular opening strengthened by GFRP and CFRP sheets. In this experimental
work ten beams were casted, one beam without opening (i.e. solid beam) and one with circular post opening and considered as
control beams. The remaining eight beams were externally strengthened by Carbon fiber reinforced polymer (CFRP) and Glass fiber
reinforced polymer (GFRP) sheets with different strengthening schemes i.e. around the opening, inside the opening, inside and around the
opening and double layer around the opening. These beams were simply supported and tested less than two points loading in the loading
frame. The behaviors of such beams were studied in terms of load carrying capacity, load-deflection behavior and cracking patterns. From
the test results it is concluded that the ultimate load carrying capacity of the R.C.C. beam strengthened with GFRP sheets of different
schemes were increased in the range of 8.13% to 45.56% and beams strengthened with CFRP sheets increased in the range of 13.01% to
55.32%. Among all the strengthening schemes, the strengthening with CFRP around and inside the opening was found very effective in
improving the ultimate load carrying capacity of beam.
Keywords: Reinforced concrete beams, Beams with circular opening, CFRP, GFRP, Strengthening schemes, Ultimate
load carrying capacity.
---------------------------------------------------------------------***-------------------------------------------------------------------------
1. INTRODUCTION
In the construction of multi-storey buildings, many pipes and
ducts are necessary to provided for services like water supply,
sewage, air-conditioning, electricity, telephone, and computer
network. Normally, these pipes and ducts are placed
underneath the beam soffit and for aesthetic reasons, are
covered by a suspended ceiling, thus creating a dead space.
Passing these ducts through transverse openings in the floor
beams leads to a reduction in the dead space and results in a
more compact design and thus inclusion of openings in beams
alters the simple beam behavior to a more complex one. [1 and
5].
Strengthening of beams provided with openings depends
mainly on whether those openings are pre-planned or post-
planned. In the case of pre-planned openings, both the upper
and lower chords are designed and reinforced to resist the
internal forces that they are subjected to two point loads. The
design of such chords depends on the position of opening and
the type of loading [1]. A steel reinforcement is provided
around the opening edges and extended with enough length
beyond the opening corners to resist the stress concentration.
Both the reinforcement provided for the upper and lower
chords and the steel reinforcement provided around the
opening are considered as internal strengthening. Mansur and
Hasnat (1979) have defined openings circular, square, or
nearly square in shape as small openings, whereas, according
to Somes and Corley (1974), a circular opening may be
considered as large when its diameter exceeds 0.25 times the
depth of the beam web [1].
Quite few methods of strengthening the beams with openings,
more common ones are strengthening by Carbon Fiber
Reinforced Polymer Sheets (CERP Sheets), Glass Fiber
Reinforced Polymer Sheets (GFRP Sheets), Aramid Fiber
Reinforced Polymer Sheets (AFRP), Steel Plates and
Strengthening by steel reinforcement [3, 4, 5 and 2].
In this paper behavior of beams with opening under different
types of strengthening process using CFRP and GFRP Sheets
is carried out. Ten beams were casted; nine beams were with
circular post opening provided by using drilling machine.
Three beams are strengthened with CFRP sheets and three are
strengthened with GFRP sheets, two beams are strengthened
with CFRP and GFRP sheets respectively by double layer
process and remaining one beam with circular post opening
(non-strengthened) for comparison. These beams are tested
under two point loading in the loading frame, the ultimate
failure load of the beam and deflection have been recorded
and results were compared with the control beam without
opening and control beam with circular post opening.
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
IC-RICE Conference Issue | Nov-2013, Available @ http://www.ijret.org 93
2. EXPERIMENTAL STUDY
2.1 Materials
The mix design for the concrete is carried for M20 grade using
OPC 53 grade, local sand and coarse aggregate. The
reinforcement in beam consists of 2-12 mm at bottom, 2-10
mm at top and 8 mm stirrups at 150 mm c/c. Ten beams were
casted and cured for 28 days. The post openings of size 100
mm diameter were provided by using drilling machine and one
solid beam (i.e. control beam). The CFRP and GFRP sheets
were used for the external strengthening of the beam with
circular opening and these sheets were bonded to the specimen
by using epoxy resin.
2.2 Test Specimen
The experimental program includes testing of beams with
circular opening having different strengthening techniques. All
tested beams had a rectangular cross section of 150mm width
and 250mm depth and a effective length of 1800mm. The
dimension and location of the opening as shown in figure 1.
Fig. 1: Dimension of beam with circular opening in shear zone
2.3 Strengthening schemes with CFRP and GFRP
Sheets
• Strengthening around the opening (wrapping of
CFRP and GFRP sheets around the opening): The
CFRP sheet is bonded only around the opening for
B3 beam and GFRP sheet for B4 beam and has been
extended 200 mm beyond the opening.
CFRP wrapping around GFRP wrapping around
the opening the opening
• Strengthening inside the opening (wrapping of CFRP
and GFRP sheets inside the opening): The CFRP
sheet is bonded only inside the opening for B5 beam
and GFRP sheet for B6 beam.
CFRP wrapping inside GFRP wrapping inside
the opening the opening
• Strengthening around and inside the opening
(wrapping of CFRP and GFRP sheets around and
inside the opening): The CFRP sheet is bonded both
around and inside the opening for B7 beam and
GFRP sheet for B8 beam and extended 200mm
beyond the opening.
CFRP wrapping around and GFRP wrapping around
inside the opening and inside the opening
• Strengthening around the opening by double layer
(wrapping of CFRP sheet and GFRP sheets around
the opening by double layer process): In this
technique CFRP sheet is bonded only around the
opening by double layer process for B9 beam and
GFRP for B10 beam and extended 200mm beyond
the opening.
CFRP wrapping around GFRP wrapping around
the opening by double layer the opening by double layer
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
IC-RICE Conference Issue | Nov-2013, Available @ http://www.ijret.org 94
2.4 Loading Set Up and Instrumentations
The schematic of the test set up as shown in figure 2. The
beams were tested in loading frame (1000 kN capacity) under
two point loading. The load was applied incrementally by
means of hydraulic jack until beam fails. The deflection at mid
span, opening centre and other end without opening were
recorded.
Fig. 2: Test set up in loading frame
3. TEST RESULTS AND DISCUSSIONS
3.1 Test Results
The test results are summarized in Table 2. The table shows
initial crack load, ultimate failure load, maximum deflection
and modes of failure for all the beams.
Table 2: Test results
Designation
on Beam
Type of Strengthened
Initial
Crack
Load in
KN
Ultimate
Failure
Load in
KN
Increase in
load
carrying
capacity in
%
Maximum
Deflection
Mode of
Failure
B1 Control beam 27.10 79.75 - 10.895 Flexure
B2
Non Strengthened Control
beam(post opening)
19.00 *49.78 - 5.550 Shear
B3
Strengthened around by
CFRP
22.24 67.60 35.79 7.025 Shear
B4
Strengthened around by
GFRP
20.62 61.12 22.78 9.230 Shear
B5
Strengthened inside by
CFRP
19.81 56.26 13.01 6.825 Shear
B6
Strengthened inside by
GFRP
19.81 53.83 8.13 6.850 Shear
B7
Strengthened around and
inside by CFRP
23.86 77.32 55.32 9.925 Flexure
B8
Strengthened around and
inside by GFRP
22.24 72.46 45.56 7.850 Flexure
B9
Strengthened around with
double layer by CFRP
23.86 74.89 50.44 8.210 Flexure
B10
Strengthened around with
double layer by GFRP
23.86 70.03 40.67 7.495 Flexure
3.2 Discussion
Examining the results presented in the table 2, it is clear that
the presence of an opening not only reduced the load carrying
capacity of the beam but also reduce the stiffness of the beam.
The reduction in the load carrying capacity of the beam was
about 37.58 % due to presence of a 100 mm diameter circular
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
IC-RICE Conference Issue | Nov-2013, Available @ http://www.ijret.org 95
opening within the shear zone. The percentage of increase in
load carrying capacity for the beams strengthened with
CFRP(B7) and GFRP(B8) sheets around and inside the
opening was 55.32% and 45.56% respectively as compared to
non-strengthened beam B2 (control beam with circular post
opening) and in case of beams strengthened with CFRP(B9)
and GFRP(B10) sheets around the opening by double layer,
the percentage of increase in load carrying capacity was
50.44% and 40.88% respectively as compared to non-
strengthened beam B2 (control beam with circular post
opening).
Fig. 3: Load-deflection relationship for all beams at mid span
Fig. 4: Load-deflection relationship for all beams at the
opening centre
Fig. 5: Load-deflection relationship for all beams at left side
The figure 3 shows load-mid-span deflection relationship for
all tested beams. Comparing the deflection for beams B1 and
B2 it can be seen that a significance increase in the mid-span
deflection for beams B2 than that for beam B1. This is due to
the reduction in the stiffness of beam B2 as result of the
inclusion of opening. The figure 4 shows load deflection
relationship for all tested beams with openings at centre of the
opening. It can be seen that external strengthening around and
inside the opening significantly increases the beam stiffness at
the opening, increase in the load carrying capacity and
decrease in deflection as compared to non strengthened beam
B2. It can be also observed from the figure 3, 4 and 5 that
within the elastic range of loading, the behavior of all
strengthened beams with opening were similar to that of the
solid beam B1.
CONCLUSIONS
• By an inclusion of circular post opening in the beam
the load carrying capacity of the beam decreases by
37.57% as compared to solid beam i.e. control beam
due to decrease its stiffness and diagonal cracks were
developed due to stress concentration around the
opening edges.
• Strengthening of the beam opening with CFRP and
GFRP sheets around the opening is more efficient
than strengthening of the beam opening with CFRP
and GFRP sheets inside the opening.
• Strengthening of the beam opening by using CFRP
and GFRP sheets both around and inside the opening
increases the load carrying capacity significantly and
in case of CFRP sheets percentage of increase in load
carrying capacity is 55.32%, where as in case of
GFRP sheets percentage of increase in load carrying
capacity is 45.56%.
• From the overall study, it can be concluded that the
strengthening with CFRP around and inside the
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
IC-RICE Conference Issue | Nov-2013, Available @ http://www.ijret.org 96
opening increases ultimate load carrying capacity and
this was best strengthening scheme among all the
strengthening process.
REFERENCES
[1] M.A.Mansur, “Design of Reinforced Concrete Beams
with Web Openings”, Proceedings of the 6th
Asia
Pacific Structual Engineering and Construction
Conference (APSEC 2006), 5-6 September 2006, Kuala
Lumpur, Malaysia.
[2] G. Niea, C.S. Caib, H. Wua, J.S. Fana, “Experimental
and Theoretical Study of Steel-Concrete Composite
Beams With Openings in Concrete Flange”, J.
Engineering Structures 28 (2006) 992-1000.
[3] R.Balamuralikrishna and C.Anthony Jeyasehar.Senior,
“ Flexural Behaviour Of RC Beams Strengthened With
Carbon Fibre Reinforced Polymer (CFRP) Fabrics”,
the open civil engineering Journal, 2009, 3,102-109.
[4] Subhajit Mondal, J.N.Bandyapadhya and Chandra Pal
Gautam, “Strengthening and Rehabilitation of
Reinforced Concrete Beams with Opening”, India.
International Journal of Civil and Structural
Engineering, Volume-2, No.1,20011.
[5] Soroush Amiri and Reza Masoudnia, “Investigation of
the Opening Effects on the Behaviour of Concrete
Beams without Additional Reinforcement in Opening
Region Using Fem Method”, Australian Journal of
Basic and Applied Sciences, 5 (5): 617-627, 2011.
[6] Soroush Amiri, Reza Masoudnia and Ali Akbar
Pabarja, “The Study of the Effects of Web Openings on
the Concrete Beams”, Australian Journal of Basic and
Applied Sciences, 5 (7): 547-556, 2011.

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Behavior of r.c.c. beam with circular opening strengthened by cfrp and gfrp sheets

  • 1. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ IC-RICE Conference Issue | Nov-2013, Available @ http://www.ijret.org 92 BEHAVIOR OF R.C.C. BEAM WITH CIRCULAR OPENING STRENGTHENED BY CFRP AND GFRP SHEETS Mithun Kuma1 r, Shivaraj Mangalagi2 , Rajendrakumar Harsoor3 1 M-tech Student, 2 Associate Professor, 3 Professor, Department of Civil Engineering, P.D.A. College of Engineering, Gulbarga, Karnataka-State, India mithunkumar034@gmail.com, mangalgishivraj@yahoo.com, rsharsoor@rediffmail.com Abstract This paper explores the behavior of R.C.C. beam with circular opening strengthened by GFRP and CFRP sheets. In this experimental work ten beams were casted, one beam without opening (i.e. solid beam) and one with circular post opening and considered as control beams. The remaining eight beams were externally strengthened by Carbon fiber reinforced polymer (CFRP) and Glass fiber reinforced polymer (GFRP) sheets with different strengthening schemes i.e. around the opening, inside the opening, inside and around the opening and double layer around the opening. These beams were simply supported and tested less than two points loading in the loading frame. The behaviors of such beams were studied in terms of load carrying capacity, load-deflection behavior and cracking patterns. From the test results it is concluded that the ultimate load carrying capacity of the R.C.C. beam strengthened with GFRP sheets of different schemes were increased in the range of 8.13% to 45.56% and beams strengthened with CFRP sheets increased in the range of 13.01% to 55.32%. Among all the strengthening schemes, the strengthening with CFRP around and inside the opening was found very effective in improving the ultimate load carrying capacity of beam. Keywords: Reinforced concrete beams, Beams with circular opening, CFRP, GFRP, Strengthening schemes, Ultimate load carrying capacity. ---------------------------------------------------------------------***------------------------------------------------------------------------- 1. INTRODUCTION In the construction of multi-storey buildings, many pipes and ducts are necessary to provided for services like water supply, sewage, air-conditioning, electricity, telephone, and computer network. Normally, these pipes and ducts are placed underneath the beam soffit and for aesthetic reasons, are covered by a suspended ceiling, thus creating a dead space. Passing these ducts through transverse openings in the floor beams leads to a reduction in the dead space and results in a more compact design and thus inclusion of openings in beams alters the simple beam behavior to a more complex one. [1 and 5]. Strengthening of beams provided with openings depends mainly on whether those openings are pre-planned or post- planned. In the case of pre-planned openings, both the upper and lower chords are designed and reinforced to resist the internal forces that they are subjected to two point loads. The design of such chords depends on the position of opening and the type of loading [1]. A steel reinforcement is provided around the opening edges and extended with enough length beyond the opening corners to resist the stress concentration. Both the reinforcement provided for the upper and lower chords and the steel reinforcement provided around the opening are considered as internal strengthening. Mansur and Hasnat (1979) have defined openings circular, square, or nearly square in shape as small openings, whereas, according to Somes and Corley (1974), a circular opening may be considered as large when its diameter exceeds 0.25 times the depth of the beam web [1]. Quite few methods of strengthening the beams with openings, more common ones are strengthening by Carbon Fiber Reinforced Polymer Sheets (CERP Sheets), Glass Fiber Reinforced Polymer Sheets (GFRP Sheets), Aramid Fiber Reinforced Polymer Sheets (AFRP), Steel Plates and Strengthening by steel reinforcement [3, 4, 5 and 2]. In this paper behavior of beams with opening under different types of strengthening process using CFRP and GFRP Sheets is carried out. Ten beams were casted; nine beams were with circular post opening provided by using drilling machine. Three beams are strengthened with CFRP sheets and three are strengthened with GFRP sheets, two beams are strengthened with CFRP and GFRP sheets respectively by double layer process and remaining one beam with circular post opening (non-strengthened) for comparison. These beams are tested under two point loading in the loading frame, the ultimate failure load of the beam and deflection have been recorded and results were compared with the control beam without opening and control beam with circular post opening.
  • 2. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ IC-RICE Conference Issue | Nov-2013, Available @ http://www.ijret.org 93 2. EXPERIMENTAL STUDY 2.1 Materials The mix design for the concrete is carried for M20 grade using OPC 53 grade, local sand and coarse aggregate. The reinforcement in beam consists of 2-12 mm at bottom, 2-10 mm at top and 8 mm stirrups at 150 mm c/c. Ten beams were casted and cured for 28 days. The post openings of size 100 mm diameter were provided by using drilling machine and one solid beam (i.e. control beam). The CFRP and GFRP sheets were used for the external strengthening of the beam with circular opening and these sheets were bonded to the specimen by using epoxy resin. 2.2 Test Specimen The experimental program includes testing of beams with circular opening having different strengthening techniques. All tested beams had a rectangular cross section of 150mm width and 250mm depth and a effective length of 1800mm. The dimension and location of the opening as shown in figure 1. Fig. 1: Dimension of beam with circular opening in shear zone 2.3 Strengthening schemes with CFRP and GFRP Sheets • Strengthening around the opening (wrapping of CFRP and GFRP sheets around the opening): The CFRP sheet is bonded only around the opening for B3 beam and GFRP sheet for B4 beam and has been extended 200 mm beyond the opening. CFRP wrapping around GFRP wrapping around the opening the opening • Strengthening inside the opening (wrapping of CFRP and GFRP sheets inside the opening): The CFRP sheet is bonded only inside the opening for B5 beam and GFRP sheet for B6 beam. CFRP wrapping inside GFRP wrapping inside the opening the opening • Strengthening around and inside the opening (wrapping of CFRP and GFRP sheets around and inside the opening): The CFRP sheet is bonded both around and inside the opening for B7 beam and GFRP sheet for B8 beam and extended 200mm beyond the opening. CFRP wrapping around and GFRP wrapping around inside the opening and inside the opening • Strengthening around the opening by double layer (wrapping of CFRP sheet and GFRP sheets around the opening by double layer process): In this technique CFRP sheet is bonded only around the opening by double layer process for B9 beam and GFRP for B10 beam and extended 200mm beyond the opening. CFRP wrapping around GFRP wrapping around the opening by double layer the opening by double layer
  • 3. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ IC-RICE Conference Issue | Nov-2013, Available @ http://www.ijret.org 94 2.4 Loading Set Up and Instrumentations The schematic of the test set up as shown in figure 2. The beams were tested in loading frame (1000 kN capacity) under two point loading. The load was applied incrementally by means of hydraulic jack until beam fails. The deflection at mid span, opening centre and other end without opening were recorded. Fig. 2: Test set up in loading frame 3. TEST RESULTS AND DISCUSSIONS 3.1 Test Results The test results are summarized in Table 2. The table shows initial crack load, ultimate failure load, maximum deflection and modes of failure for all the beams. Table 2: Test results Designation on Beam Type of Strengthened Initial Crack Load in KN Ultimate Failure Load in KN Increase in load carrying capacity in % Maximum Deflection Mode of Failure B1 Control beam 27.10 79.75 - 10.895 Flexure B2 Non Strengthened Control beam(post opening) 19.00 *49.78 - 5.550 Shear B3 Strengthened around by CFRP 22.24 67.60 35.79 7.025 Shear B4 Strengthened around by GFRP 20.62 61.12 22.78 9.230 Shear B5 Strengthened inside by CFRP 19.81 56.26 13.01 6.825 Shear B6 Strengthened inside by GFRP 19.81 53.83 8.13 6.850 Shear B7 Strengthened around and inside by CFRP 23.86 77.32 55.32 9.925 Flexure B8 Strengthened around and inside by GFRP 22.24 72.46 45.56 7.850 Flexure B9 Strengthened around with double layer by CFRP 23.86 74.89 50.44 8.210 Flexure B10 Strengthened around with double layer by GFRP 23.86 70.03 40.67 7.495 Flexure 3.2 Discussion Examining the results presented in the table 2, it is clear that the presence of an opening not only reduced the load carrying capacity of the beam but also reduce the stiffness of the beam. The reduction in the load carrying capacity of the beam was about 37.58 % due to presence of a 100 mm diameter circular
  • 4. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ IC-RICE Conference Issue | Nov-2013, Available @ http://www.ijret.org 95 opening within the shear zone. The percentage of increase in load carrying capacity for the beams strengthened with CFRP(B7) and GFRP(B8) sheets around and inside the opening was 55.32% and 45.56% respectively as compared to non-strengthened beam B2 (control beam with circular post opening) and in case of beams strengthened with CFRP(B9) and GFRP(B10) sheets around the opening by double layer, the percentage of increase in load carrying capacity was 50.44% and 40.88% respectively as compared to non- strengthened beam B2 (control beam with circular post opening). Fig. 3: Load-deflection relationship for all beams at mid span Fig. 4: Load-deflection relationship for all beams at the opening centre Fig. 5: Load-deflection relationship for all beams at left side The figure 3 shows load-mid-span deflection relationship for all tested beams. Comparing the deflection for beams B1 and B2 it can be seen that a significance increase in the mid-span deflection for beams B2 than that for beam B1. This is due to the reduction in the stiffness of beam B2 as result of the inclusion of opening. The figure 4 shows load deflection relationship for all tested beams with openings at centre of the opening. It can be seen that external strengthening around and inside the opening significantly increases the beam stiffness at the opening, increase in the load carrying capacity and decrease in deflection as compared to non strengthened beam B2. It can be also observed from the figure 3, 4 and 5 that within the elastic range of loading, the behavior of all strengthened beams with opening were similar to that of the solid beam B1. CONCLUSIONS • By an inclusion of circular post opening in the beam the load carrying capacity of the beam decreases by 37.57% as compared to solid beam i.e. control beam due to decrease its stiffness and diagonal cracks were developed due to stress concentration around the opening edges. • Strengthening of the beam opening with CFRP and GFRP sheets around the opening is more efficient than strengthening of the beam opening with CFRP and GFRP sheets inside the opening. • Strengthening of the beam opening by using CFRP and GFRP sheets both around and inside the opening increases the load carrying capacity significantly and in case of CFRP sheets percentage of increase in load carrying capacity is 55.32%, where as in case of GFRP sheets percentage of increase in load carrying capacity is 45.56%. • From the overall study, it can be concluded that the strengthening with CFRP around and inside the
  • 5. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ IC-RICE Conference Issue | Nov-2013, Available @ http://www.ijret.org 96 opening increases ultimate load carrying capacity and this was best strengthening scheme among all the strengthening process. REFERENCES [1] M.A.Mansur, “Design of Reinforced Concrete Beams with Web Openings”, Proceedings of the 6th Asia Pacific Structual Engineering and Construction Conference (APSEC 2006), 5-6 September 2006, Kuala Lumpur, Malaysia. [2] G. Niea, C.S. Caib, H. Wua, J.S. Fana, “Experimental and Theoretical Study of Steel-Concrete Composite Beams With Openings in Concrete Flange”, J. Engineering Structures 28 (2006) 992-1000. [3] R.Balamuralikrishna and C.Anthony Jeyasehar.Senior, “ Flexural Behaviour Of RC Beams Strengthened With Carbon Fibre Reinforced Polymer (CFRP) Fabrics”, the open civil engineering Journal, 2009, 3,102-109. [4] Subhajit Mondal, J.N.Bandyapadhya and Chandra Pal Gautam, “Strengthening and Rehabilitation of Reinforced Concrete Beams with Opening”, India. International Journal of Civil and Structural Engineering, Volume-2, No.1,20011. [5] Soroush Amiri and Reza Masoudnia, “Investigation of the Opening Effects on the Behaviour of Concrete Beams without Additional Reinforcement in Opening Region Using Fem Method”, Australian Journal of Basic and Applied Sciences, 5 (5): 617-627, 2011. [6] Soroush Amiri, Reza Masoudnia and Ali Akbar Pabarja, “The Study of the Effects of Web Openings on the Concrete Beams”, Australian Journal of Basic and Applied Sciences, 5 (7): 547-556, 2011.