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International Journal of Scientific Research and Engineering Development-– Volume 2 Issue 3, May –June 2019
Available at www.ijsred.com
ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 716
Analytical Study of Strengthening of RCC Beam
Openings by BFRP Composites using ABAQUS
Ashwini Halyal*, Neethu Urs**
*Department of civil engineering, Dayananda Sagar College of Engineering, Bengaluru, 560078, India
**Department of civil engineering, Dayananda Sagar College of Engineering, Bengaluru, 560078, India
----------------------------------------************************----------------------------------
Abstract:
This paper aims to appraise the influence of Basalt Fibre Reinforced Plastic [BFRP] wrapping on the effect
of strengthening of openings in RCC beam. Finite element analysis has been used in order to study this problem.
Five beams were analyzed using finite element program ABAQUS software. The beams are of span 1000mm and
are having rectangular cross section of size 150mm x 250mm. One solid beam is treated as control beam. The rest of
the beams were divided into two groups depending upon opening dimensions i.e. single circular opening of diameter
94.40 mm and double circular opening of diameter 66.75 mm. As per SP 34,openings are provided. Each group has
two beams with one unstrengthened beam and other beam were wrapped with BFRP. All these beams are simply
supported and are analyzed by applying midpoint loading. The load carrying capacity and the deformation of the
beams are studied and analyzed in detail. Strengthening of the beam introduced with small sized double opening is
found to be more efficient compared to large sized single opening while openings having the same area.
Keywords — BFRP, Strengthening, Load carrying capacity, ABAQUS
----------------------------------------************************----------------------------------
I. INTRODUCTION
Construction of present-day buildings requires many pipes
and ducts in order to lodge essential services such as air
conditioning, electricity, telephone, fire station and computer
network .Usually, these pipes and ducts are placed underneath
the soffit of the beam and these are enclosed with suspended
ceiling of false ceiling for aesthetic purpose.
This results in the creation of unnecessary dead space
because the depth of ducts or pipes may range from few
centimetres to may be half a meter. Hence an alternate
arrangement has to be made. Web openings in concrete beams
enable the installation of these services. Hence this practice of
providing web openings in beams for the passage of service
ducts and pipes, reduce the dead space. For small buildings,
the savings thus accomplished may not be huge, however for
multi storey structures, any saving in story height multiplied
by the number of stories can speak to a significant saving in
total height, length of air-conditioning and electrical ducts,
plumbing risers, walls and partition surfaces, and overall load
on the foundation.[2]
However, the creation of such openings in RC beams
produces discontinuity in the normal flow of stresses which
would reduce the beam shear capacity and stiffness. If
provision for opening is to be planned during the casting of
concrete, then the required stability can be supplemented by
using adequate steel reinforcement around the opening. If the
openings are needed for the already cast beams, then the
Basalt Fibre Reinforced Plastic [BFRP], Carbon Fibre
Reinforced Plastic [CFRP], Glass Fibre Reinforced Plastic
[GFRP], Aramid Fibre Reinforced Plastic [AFRP] wrapping
can be provided along the surface area of the opening which
would reduce the stresses along its periphery considerably.
But it can be seen that there is not enough study on the
influence of BFRP wrapping on the effect of strengthening of
openings in RC beam.
II. SPECIMEN DESIGN
Five rectangular beams of size 1000mm x 150mm x
250mm are tested. One solid beam is treated as control beam.
The rest of the beams are divided into two groups depending
upon opening dimensions i.e. single circular opening of
diameter 94.40 mm and double circular opening of diameter
66.75 mm. As per SP 34, openings are provided. Each group
has two beams with one unstrengthened beam and other beam
are wrapped with BFRP.
RESEARCH ARTICLE OPEN ACCESS
International Journal of Scientific Research and Engineering Development
ISSN : 2581-7175 ©IJSRED:
TABLE 1
DESIGNATION OF BEAMS
Designation Description
BOO Control Beam
BCO1 Concrete beam with single opening
BCO2 Concrete beam with double opening
BFCO1 Concrete beam with single opening strengthened
with BFRP
BFCO2 Concrete beam with double opening
with BFRP
Fig1 Beam with single circular opening
Fig2 Beam with double circular opening
III. FINITE ELEMENT MODEL IN ABAQUS
FEA is a numerical method for solving partial differential
equation as well as integral equations generated from complex
structure. At present, FEA is a leading method for mechanical,
structural, civil, biomedical, and related engineering
applications. It is a progressive engineering tool that is used in
design as an alternative of experimental testing.
The finite element analysis study includes modelling of a
concrete beams as mentioned above. The concrete beam is
modelled as it is in experimental work. The developed model
and FEA results will be verified with test results conducted by
[9].
The RCC beam are modelled according to required
dimensions and reinforcements using CATIA Software. The
first step in analysis is to import the RCC Beam which is
modelled in CATIA, part by part into ABAQUS. The Material
properties and Section properties are defined for the bea
referring the literature [9].The Elastic Modulus of Beam are
calculated using the characteristic strength of concrete taken
from the literature and the density of concrete, Poisson’s ratio
are entered in the material property section of the ABAQUS
software. The modulus of elasticity and density of steel is also
defined in the property section.
International Journal of Scientific Research and Engineering Development-– Volume 2 Issue 3, May
Available at www.ijsred.com
IJSRED: All Rights are Reserved
Concrete beam with double opening
Concrete beam with single opening strengthened
Concrete beam with double opening strengthened
Fig1 Beam with single circular opening
Fig2 Beam with double circular opening
ABAQUS
FEA is a numerical method for solving partial differential
equation as well as integral equations generated from complex
structure. At present, FEA is a leading method for mechanical,
structural, civil, biomedical, and related engineering
is a progressive engineering tool that is used in
design as an alternative of experimental testing.
The finite element analysis study includes modelling of a
concrete beams as mentioned above. The concrete beam is
he developed model
ith test results conducted by
The RCC beam are modelled according to required
dimensions and reinforcements using CATIA Software. The
first step in analysis is to import the RCC Beam which is
ed in CATIA, part by part into ABAQUS. The Material
properties and Section properties are defined for the beam by
].The Elastic Modulus of Beam are
calculated using the characteristic strength of concrete taken
e and the density of concrete, Poisson’s ratio
are entered in the material property section of the ABAQUS
software. The modulus of elasticity and density of steel is also
TABLE 2:
MATERIAL PROPERTIES OF
Characteristic
Strength
(N/mm^2)
Elastic
Modulus
(N/mm^2)
Density
(KN/m^3)
30 27386.128
A. Defining the Interaction
To define the Interaction, the constraint has to be created in
such a way that the reinforcement setup
region and the whole concrete section will be host region, thus
creating the Concrete to steel embedded region in the model.
Embedment enables one or more elements to be embedded
inside a host element. One of the most significant advan
of the embedment technique is the fact it does not require
modelling of contact surfaces, and therefore, eliminates the
numerically expensive iterations associated with surface
formulation.
B. Meshing
Before starting up the meshing the first step is to
the geometry of the model for free edges, scar lines, duplicate
surfaces and intersection of parts. After checking up the
geometry the next step in meshing is to choose the type of
element which is suitable for the parts to be meshed. The
element type selection mainly depends upon the geometry size
and shape of the object, type of analysis to be carried out.
In our problem we are choosing the quad and tetra elements
for meshing of 3D objects due to fact that tetra and quad
elements are best suited for meshing of 3D objects
Fig 3 Meshing of Solid concrete beam
Fig 4 Meshing of Beam with single opening
Volume 2 Issue 3, May –June 2019
www.ijsred.com
Page 717
ROPERTIES OF BEAM
Density
(KN/m^3)
Poisson’s
ratio
24 0.15
To define the Interaction, the constraint has to be created in
such a way that the reinforcement setup will be the embedded
region and the whole concrete section will be host region, thus
creating the Concrete to steel embedded region in the model.
Embedment enables one or more elements to be embedded
inside a host element. One of the most significant advantages
of the embedment technique is the fact it does not require
modelling of contact surfaces, and therefore, eliminates the
numerically expensive iterations associated with surface
Before starting up the meshing the first step is to check out
the geometry of the model for free edges, scar lines, duplicate
surfaces and intersection of parts. After checking up the
geometry the next step in meshing is to choose the type of
element which is suitable for the parts to be meshed. The
type selection mainly depends upon the geometry size
and shape of the object, type of analysis to be carried out.
In our problem we are choosing the quad and tetra elements
for meshing of 3D objects due to fact that tetra and quad
d for meshing of 3D objects.
Meshing of Solid concrete beam
Meshing of Beam with single opening
International Journal of Scientific Research and Engineering Development
ISSN : 2581-7175 ©IJSRED:
Fig 5 Meshing of Beam with double opening
IV. RESULTS AND DISCUSSIONS
All the beams are loaded upto their ultimate load and
deflection. The beam is provided with pinned supports and is
subjected to midpoint loading. The deflection at ultimate load
is tabulated.
TABLE 3
DEFLECTION RESULTS AT ULTIMATE
Beam
Ultimate
Load(kN)
Deflection in mm
Experimental
BOO 140 4.90
BCO1 110 5.06
BCO2 120 5.86
BFCO1 120 5.16
BFCO2 0.13 4.96
Graph 1 load v/s deflection graph of control beam
0
20
40
60
80
100
120
140
160
0 2 4
Load(kN)
Deflection in mm
Control beam/Solid beam
Experimental
Analytical
International Journal of Scientific Research and Engineering Development-– Volume 2 Issue 3, May
Available at www.ijsred.com
IJSRED: All Rights are Reserved
Meshing of Beam with double opening
All the beams are loaded upto their ultimate load and
deflection. The beam is provided with pinned supports and is
subjected to midpoint loading. The deflection at ultimate load
LTIMATE LOAD
Analytical
4.69
4.84
5.52
4.82
4.56
load v/s deflection graph of control beam
Fig 6 Control Beam Deflection at ultimate load
In case of control beam, the Analysis Results from the
software underestimates the deflection value by 4.28 % with
respect to theoretical deflection results at ultimate loads.
Graph 2 load v/s deflection graph of concrete beam with
In case of concrete beam with single opening, the Analysis
Results from the software underestimates the deflection value
by 4.35% with respect to theoretical deflection results at
ultimate loads.
Fig 7 Deflection of concrete beam with single opening at ul
6
Experimental
Analytical
0
20
40
60
80
100
120
0 2
Load(kN)
Deflection in mm
Beam with single opening
Volume 2 Issue 3, May –June 2019
www.ijsred.com
Page 718
Control Beam Deflection at ultimate load
In case of control beam, the Analysis Results from the
software underestimates the deflection value by 4.28 % with
respect to theoretical deflection results at ultimate loads.
load v/s deflection graph of concrete beam with single opening
case of concrete beam with single opening, the Analysis
Results from the software underestimates the deflection value
by 4.35% with respect to theoretical deflection results at
Deflection of concrete beam with single opening at ultimate load
4 6
Deflection in mm
Beam with single opening
Experimental
Analytical
International Journal of Scientific Research and Engineering Development
ISSN : 2581-7175 ©IJSRED:
Graph 3 load v/s deflection graph of concrete beam with double opening.
Fig 8 Deflection of concrete beam with double opening at ultimate load
In case of concrete beam with double opening, the Analysis
Results from the software underestimates the deflection value
by 5.8 % with respect to theoretical deflection results at
ultimate loads.
Graph 4 load v/s deflection graph of concrete beam with single opening
strengthened with BFRP
0
20
40
60
80
100
120
140
0 2 4 6
Load(kN)
Deflection in mm
Beam with double opening
Experimental
Analytical
0
20
40
60
80
100
120
140
0 2 4
Load(kN)
Deflection in mm
Beam with single opening
strengthened with BFRP
Experimental
Analytical
International Journal of Scientific Research and Engineering Development-– Volume 2 Issue 3, May
Available at www.ijsred.com
IJSRED: All Rights are Reserved
load v/s deflection graph of concrete beam with double opening.
Deflection of concrete beam with double opening at ultimate load
In case of concrete beam with double opening, the Analysis
underestimates the deflection value
by 5.8 % with respect to theoretical deflection results at
load v/s deflection graph of concrete beam with single opening
Fig 9 Deflection of concrete beam with single opening strengthened with
BFRP at ultimate load
In case of concrete beam with single opening strengthened
with BFRP, the Analysis Results from the software
underestimates the deflection value by 6.6 % with respect to
theoretical deflection results at ultimate loads
Graph 5 load v/s deflection graph of concrete beam with double opening
strengthened with BFRP.
Fig 10 Deflection of concrete beam with double opening strengthened with
BFRP at ultimate load
In case of concrete beam with double openin
with BFRP, the Analysis Results from the software
underestimates the deflection value by 8.06 % with respect to
theoretical deflection results at ultimate loads.
V. CONCLUSIONS
From the obtained analyzed results, the following conclusions
were drawn:
8
Experimental
Analytical
6
eam with single opening
strengthened with BFRP
Experimental
Analytical
0
20
40
60
80
100
120
140
0 2 4
Load(kN)
Deflection in mm
Beam with double opening
strengthened with BFRP
Volume 2 Issue 3, May –June 2019
www.ijsred.com
Page 719
opening strengthened with
In case of concrete beam with single opening strengthened
with BFRP, the Analysis Results from the software
underestimates the deflection value by 6.6 % with respect to
ultimate loads.
load v/s deflection graph of concrete beam with double opening
strengthened with BFRP.
eflection of concrete beam with double opening strengthened with
In case of concrete beam with double opening strengthened
with BFRP, the Analysis Results from the software
underestimates the deflection value by 8.06 % with respect to
theoretical deflection results at ultimate loads.
From the obtained analyzed results, the following conclusions
4 6
Deflection in mm
Beam with double opening
strengthened with BFRP
Experimental
Analytical
International Journal of Scientific Research and Engineering Development-– Volume 2 Issue 3, May –June 2019
Available at www.ijsred.com
ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 720
1) Load carrying capacity of a beam decreases with
inclusion of an opening.
2) The reduction in load carrying capacity of the beam
is lesser for the beam introduced with two opening
having the same area than the beam introduced with
single opening.
3) Wrapping BFRP sheets externally increases the load
carrying capacity.
4) The recovery of lost load carrying capacity is higher
in strengthened beam BFCO2 than the strengthened
beam BFCO1.
5) It can be concluded that strengthening of the beam
introduced with small sized double opening is
efficient compared to large sized single opening
while openings having the same area.
6) The slight deviation of load deflection behaviour
produced by the FEA software from the experimental
curve is observed. It can be noted that the correlation
between experimental results and analytical results
are quite good.
REFERENCES
[1] H A Abdalla, A M Torkey, H A Haggag, and A F Abu-Amira, “Design
Against Cracking at Openings in Reinforced Concrete Beams
Strengthened with Composite Sheets”. Composite Structures, Vol 60,
2003, pp 197–204.
[2] 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.
[3] Mojtaba Hosseinia, Amir Mohammad Amirib and Peyman
Beiranvandb, “Numerical analysis of reinforced concrete beams
containing bending and shear opening and strengthened with FRP
sheets ”,Composite Structures,145-152, 2016
[4] Nasr Z. Hassan, Alaa G. Sherif and Amal H. Zamarawy, “ Finite
element analysis of reinforced concrete beams with opening
strengthened using FRP ”,ASE Journal, Elsevier.
[5] S.C. Chin, N. Shafiq and M.F. Nuruddin, “ Strengthening of RC Beams
Containing Large Opening at Flexure with CFRP
laminates” ,International Journal of Civil and Environmental
Engineering Vol:5, No:12, 2011.
[6] S.M. Allam, “Strengthening of RC beams with large openings in the
shear zone,” Alexandria Engineering Journal, vol. 44, 2005, pp. 59-78.
[7] Siew Choo Chin, Nasir Shafiq, and Muhd Fadhil Nuruddin. “ FRP as
Strengthening Material for Reinforced Concrete Beams with Openings
- A Review”, KSCE Journal of Civil Engineering (0000) 00(0):1-7.
[8] Soroush Amiri, Reza Masoudnia, “Investigation of the Oppening
Effects on the Behavior of Concrete Beams Without Additional
Reinforcement in Opening Region Using Fem Method ”, Australian
Journal of Basic and Applied Sciences, 5(5): 617-627, 2011.
[9] Surya Sunder S, Nisha Babu and Dinu Paulose, “Experimental Study
on Strengthening of Openings in R.C Beams using BFRP Fabric”, Vol.
5, Issue 8, IJIRSET, August 2016.
[10] Taha Abdo, Rasha Mabrouk, “Effect of web openings on the structural
behavior of RC beams subjected to pure torsion”, MATEC Web of
Conferences 120, 01007 (2017).
[11] T El-Maaddawy and B El-Ariss, “Behavior of Concrete Beams with
Short Shear Span and Web Opening Strengthened in Shear with CFRP
Composites”, Journal of Composites for Construction, 2012.
[12] T. El Maaddawy and S. Sherif, “FRP composites for shear
strengthening of reinforced concrete deep beams with
openings” ,Composite Structures, vol. 89, Jun. 2009, pp. 60-69.

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Ijsred v2 i3p86

  • 1. International Journal of Scientific Research and Engineering Development-– Volume 2 Issue 3, May –June 2019 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 716 Analytical Study of Strengthening of RCC Beam Openings by BFRP Composites using ABAQUS Ashwini Halyal*, Neethu Urs** *Department of civil engineering, Dayananda Sagar College of Engineering, Bengaluru, 560078, India **Department of civil engineering, Dayananda Sagar College of Engineering, Bengaluru, 560078, India ----------------------------------------************************---------------------------------- Abstract: This paper aims to appraise the influence of Basalt Fibre Reinforced Plastic [BFRP] wrapping on the effect of strengthening of openings in RCC beam. Finite element analysis has been used in order to study this problem. Five beams were analyzed using finite element program ABAQUS software. The beams are of span 1000mm and are having rectangular cross section of size 150mm x 250mm. One solid beam is treated as control beam. The rest of the beams were divided into two groups depending upon opening dimensions i.e. single circular opening of diameter 94.40 mm and double circular opening of diameter 66.75 mm. As per SP 34,openings are provided. Each group has two beams with one unstrengthened beam and other beam were wrapped with BFRP. All these beams are simply supported and are analyzed by applying midpoint loading. The load carrying capacity and the deformation of the beams are studied and analyzed in detail. Strengthening of the beam introduced with small sized double opening is found to be more efficient compared to large sized single opening while openings having the same area. Keywords — BFRP, Strengthening, Load carrying capacity, ABAQUS ----------------------------------------************************---------------------------------- I. INTRODUCTION Construction of present-day buildings requires many pipes and ducts in order to lodge essential services such as air conditioning, electricity, telephone, fire station and computer network .Usually, these pipes and ducts are placed underneath the soffit of the beam and these are enclosed with suspended ceiling of false ceiling for aesthetic purpose. This results in the creation of unnecessary dead space because the depth of ducts or pipes may range from few centimetres to may be half a meter. Hence an alternate arrangement has to be made. Web openings in concrete beams enable the installation of these services. Hence this practice of providing web openings in beams for the passage of service ducts and pipes, reduce the dead space. For small buildings, the savings thus accomplished may not be huge, however for multi storey structures, any saving in story height multiplied by the number of stories can speak to a significant saving in total height, length of air-conditioning and electrical ducts, plumbing risers, walls and partition surfaces, and overall load on the foundation.[2] However, the creation of such openings in RC beams produces discontinuity in the normal flow of stresses which would reduce the beam shear capacity and stiffness. If provision for opening is to be planned during the casting of concrete, then the required stability can be supplemented by using adequate steel reinforcement around the opening. If the openings are needed for the already cast beams, then the Basalt Fibre Reinforced Plastic [BFRP], Carbon Fibre Reinforced Plastic [CFRP], Glass Fibre Reinforced Plastic [GFRP], Aramid Fibre Reinforced Plastic [AFRP] wrapping can be provided along the surface area of the opening which would reduce the stresses along its periphery considerably. But it can be seen that there is not enough study on the influence of BFRP wrapping on the effect of strengthening of openings in RC beam. II. SPECIMEN DESIGN Five rectangular beams of size 1000mm x 150mm x 250mm are tested. One solid beam is treated as control beam. The rest of the beams are divided into two groups depending upon opening dimensions i.e. single circular opening of diameter 94.40 mm and double circular opening of diameter 66.75 mm. As per SP 34, openings are provided. Each group has two beams with one unstrengthened beam and other beam are wrapped with BFRP. RESEARCH ARTICLE OPEN ACCESS
  • 2. International Journal of Scientific Research and Engineering Development ISSN : 2581-7175 ©IJSRED: TABLE 1 DESIGNATION OF BEAMS Designation Description BOO Control Beam BCO1 Concrete beam with single opening BCO2 Concrete beam with double opening BFCO1 Concrete beam with single opening strengthened with BFRP BFCO2 Concrete beam with double opening with BFRP Fig1 Beam with single circular opening Fig2 Beam with double circular opening III. FINITE ELEMENT MODEL IN ABAQUS FEA is a numerical method for solving partial differential equation as well as integral equations generated from complex structure. At present, FEA is a leading method for mechanical, structural, civil, biomedical, and related engineering applications. It is a progressive engineering tool that is used in design as an alternative of experimental testing. The finite element analysis study includes modelling of a concrete beams as mentioned above. The concrete beam is modelled as it is in experimental work. The developed model and FEA results will be verified with test results conducted by [9]. The RCC beam are modelled according to required dimensions and reinforcements using CATIA Software. The first step in analysis is to import the RCC Beam which is modelled in CATIA, part by part into ABAQUS. The Material properties and Section properties are defined for the bea referring the literature [9].The Elastic Modulus of Beam are calculated using the characteristic strength of concrete taken from the literature and the density of concrete, Poisson’s ratio are entered in the material property section of the ABAQUS software. The modulus of elasticity and density of steel is also defined in the property section. International Journal of Scientific Research and Engineering Development-– Volume 2 Issue 3, May Available at www.ijsred.com IJSRED: All Rights are Reserved Concrete beam with double opening Concrete beam with single opening strengthened Concrete beam with double opening strengthened Fig1 Beam with single circular opening Fig2 Beam with double circular opening ABAQUS FEA is a numerical method for solving partial differential equation as well as integral equations generated from complex structure. At present, FEA is a leading method for mechanical, structural, civil, biomedical, and related engineering is a progressive engineering tool that is used in design as an alternative of experimental testing. The finite element analysis study includes modelling of a concrete beams as mentioned above. The concrete beam is he developed model ith test results conducted by The RCC beam are modelled according to required dimensions and reinforcements using CATIA Software. The first step in analysis is to import the RCC Beam which is ed in CATIA, part by part into ABAQUS. The Material properties and Section properties are defined for the beam by ].The Elastic Modulus of Beam are calculated using the characteristic strength of concrete taken e and the density of concrete, Poisson’s ratio are entered in the material property section of the ABAQUS software. The modulus of elasticity and density of steel is also TABLE 2: MATERIAL PROPERTIES OF Characteristic Strength (N/mm^2) Elastic Modulus (N/mm^2) Density (KN/m^3) 30 27386.128 A. Defining the Interaction To define the Interaction, the constraint has to be created in such a way that the reinforcement setup region and the whole concrete section will be host region, thus creating the Concrete to steel embedded region in the model. Embedment enables one or more elements to be embedded inside a host element. One of the most significant advan of the embedment technique is the fact it does not require modelling of contact surfaces, and therefore, eliminates the numerically expensive iterations associated with surface formulation. B. Meshing Before starting up the meshing the first step is to the geometry of the model for free edges, scar lines, duplicate surfaces and intersection of parts. After checking up the geometry the next step in meshing is to choose the type of element which is suitable for the parts to be meshed. The element type selection mainly depends upon the geometry size and shape of the object, type of analysis to be carried out. In our problem we are choosing the quad and tetra elements for meshing of 3D objects due to fact that tetra and quad elements are best suited for meshing of 3D objects Fig 3 Meshing of Solid concrete beam Fig 4 Meshing of Beam with single opening Volume 2 Issue 3, May –June 2019 www.ijsred.com Page 717 ROPERTIES OF BEAM Density (KN/m^3) Poisson’s ratio 24 0.15 To define the Interaction, the constraint has to be created in such a way that the reinforcement setup will be the embedded region and the whole concrete section will be host region, thus creating the Concrete to steel embedded region in the model. Embedment enables one or more elements to be embedded inside a host element. One of the most significant advantages of the embedment technique is the fact it does not require modelling of contact surfaces, and therefore, eliminates the numerically expensive iterations associated with surface Before starting up the meshing the first step is to check out the geometry of the model for free edges, scar lines, duplicate surfaces and intersection of parts. After checking up the geometry the next step in meshing is to choose the type of element which is suitable for the parts to be meshed. The type selection mainly depends upon the geometry size and shape of the object, type of analysis to be carried out. In our problem we are choosing the quad and tetra elements for meshing of 3D objects due to fact that tetra and quad d for meshing of 3D objects. Meshing of Solid concrete beam Meshing of Beam with single opening
  • 3. International Journal of Scientific Research and Engineering Development ISSN : 2581-7175 ©IJSRED: Fig 5 Meshing of Beam with double opening IV. RESULTS AND DISCUSSIONS All the beams are loaded upto their ultimate load and deflection. The beam is provided with pinned supports and is subjected to midpoint loading. The deflection at ultimate load is tabulated. TABLE 3 DEFLECTION RESULTS AT ULTIMATE Beam Ultimate Load(kN) Deflection in mm Experimental BOO 140 4.90 BCO1 110 5.06 BCO2 120 5.86 BFCO1 120 5.16 BFCO2 0.13 4.96 Graph 1 load v/s deflection graph of control beam 0 20 40 60 80 100 120 140 160 0 2 4 Load(kN) Deflection in mm Control beam/Solid beam Experimental Analytical International Journal of Scientific Research and Engineering Development-– Volume 2 Issue 3, May Available at www.ijsred.com IJSRED: All Rights are Reserved Meshing of Beam with double opening All the beams are loaded upto their ultimate load and deflection. The beam is provided with pinned supports and is subjected to midpoint loading. The deflection at ultimate load LTIMATE LOAD Analytical 4.69 4.84 5.52 4.82 4.56 load v/s deflection graph of control beam Fig 6 Control Beam Deflection at ultimate load In case of control beam, the Analysis Results from the software underestimates the deflection value by 4.28 % with respect to theoretical deflection results at ultimate loads. Graph 2 load v/s deflection graph of concrete beam with In case of concrete beam with single opening, the Analysis Results from the software underestimates the deflection value by 4.35% with respect to theoretical deflection results at ultimate loads. Fig 7 Deflection of concrete beam with single opening at ul 6 Experimental Analytical 0 20 40 60 80 100 120 0 2 Load(kN) Deflection in mm Beam with single opening Volume 2 Issue 3, May –June 2019 www.ijsred.com Page 718 Control Beam Deflection at ultimate load In case of control beam, the Analysis Results from the software underestimates the deflection value by 4.28 % with respect to theoretical deflection results at ultimate loads. load v/s deflection graph of concrete beam with single opening case of concrete beam with single opening, the Analysis Results from the software underestimates the deflection value by 4.35% with respect to theoretical deflection results at Deflection of concrete beam with single opening at ultimate load 4 6 Deflection in mm Beam with single opening Experimental Analytical
  • 4. International Journal of Scientific Research and Engineering Development ISSN : 2581-7175 ©IJSRED: Graph 3 load v/s deflection graph of concrete beam with double opening. Fig 8 Deflection of concrete beam with double opening at ultimate load In case of concrete beam with double opening, the Analysis Results from the software underestimates the deflection value by 5.8 % with respect to theoretical deflection results at ultimate loads. Graph 4 load v/s deflection graph of concrete beam with single opening strengthened with BFRP 0 20 40 60 80 100 120 140 0 2 4 6 Load(kN) Deflection in mm Beam with double opening Experimental Analytical 0 20 40 60 80 100 120 140 0 2 4 Load(kN) Deflection in mm Beam with single opening strengthened with BFRP Experimental Analytical International Journal of Scientific Research and Engineering Development-– Volume 2 Issue 3, May Available at www.ijsred.com IJSRED: All Rights are Reserved load v/s deflection graph of concrete beam with double opening. Deflection of concrete beam with double opening at ultimate load In case of concrete beam with double opening, the Analysis underestimates the deflection value by 5.8 % with respect to theoretical deflection results at load v/s deflection graph of concrete beam with single opening Fig 9 Deflection of concrete beam with single opening strengthened with BFRP at ultimate load In case of concrete beam with single opening strengthened with BFRP, the Analysis Results from the software underestimates the deflection value by 6.6 % with respect to theoretical deflection results at ultimate loads Graph 5 load v/s deflection graph of concrete beam with double opening strengthened with BFRP. Fig 10 Deflection of concrete beam with double opening strengthened with BFRP at ultimate load In case of concrete beam with double openin with BFRP, the Analysis Results from the software underestimates the deflection value by 8.06 % with respect to theoretical deflection results at ultimate loads. V. CONCLUSIONS From the obtained analyzed results, the following conclusions were drawn: 8 Experimental Analytical 6 eam with single opening strengthened with BFRP Experimental Analytical 0 20 40 60 80 100 120 140 0 2 4 Load(kN) Deflection in mm Beam with double opening strengthened with BFRP Volume 2 Issue 3, May –June 2019 www.ijsred.com Page 719 opening strengthened with In case of concrete beam with single opening strengthened with BFRP, the Analysis Results from the software underestimates the deflection value by 6.6 % with respect to ultimate loads. load v/s deflection graph of concrete beam with double opening strengthened with BFRP. eflection of concrete beam with double opening strengthened with In case of concrete beam with double opening strengthened with BFRP, the Analysis Results from the software underestimates the deflection value by 8.06 % with respect to theoretical deflection results at ultimate loads. From the obtained analyzed results, the following conclusions 4 6 Deflection in mm Beam with double opening strengthened with BFRP Experimental Analytical
  • 5. International Journal of Scientific Research and Engineering Development-– Volume 2 Issue 3, May –June 2019 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 720 1) Load carrying capacity of a beam decreases with inclusion of an opening. 2) The reduction in load carrying capacity of the beam is lesser for the beam introduced with two opening having the same area than the beam introduced with single opening. 3) Wrapping BFRP sheets externally increases the load carrying capacity. 4) The recovery of lost load carrying capacity is higher in strengthened beam BFCO2 than the strengthened beam BFCO1. 5) It can be concluded that strengthening of the beam introduced with small sized double opening is efficient compared to large sized single opening while openings having the same area. 6) The slight deviation of load deflection behaviour produced by the FEA software from the experimental curve is observed. It can be noted that the correlation between experimental results and analytical results are quite good. REFERENCES [1] H A Abdalla, A M Torkey, H A Haggag, and A F Abu-Amira, “Design Against Cracking at Openings in Reinforced Concrete Beams Strengthened with Composite Sheets”. Composite Structures, Vol 60, 2003, pp 197–204. [2] 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. [3] Mojtaba Hosseinia, Amir Mohammad Amirib and Peyman Beiranvandb, “Numerical analysis of reinforced concrete beams containing bending and shear opening and strengthened with FRP sheets ”,Composite Structures,145-152, 2016 [4] Nasr Z. Hassan, Alaa G. Sherif and Amal H. Zamarawy, “ Finite element analysis of reinforced concrete beams with opening strengthened using FRP ”,ASE Journal, Elsevier. [5] S.C. Chin, N. Shafiq and M.F. Nuruddin, “ Strengthening of RC Beams Containing Large Opening at Flexure with CFRP laminates” ,International Journal of Civil and Environmental Engineering Vol:5, No:12, 2011. [6] S.M. Allam, “Strengthening of RC beams with large openings in the shear zone,” Alexandria Engineering Journal, vol. 44, 2005, pp. 59-78. [7] Siew Choo Chin, Nasir Shafiq, and Muhd Fadhil Nuruddin. “ FRP as Strengthening Material for Reinforced Concrete Beams with Openings - A Review”, KSCE Journal of Civil Engineering (0000) 00(0):1-7. [8] Soroush Amiri, Reza Masoudnia, “Investigation of the Oppening Effects on the Behavior of Concrete Beams Without Additional Reinforcement in Opening Region Using Fem Method ”, Australian Journal of Basic and Applied Sciences, 5(5): 617-627, 2011. [9] Surya Sunder S, Nisha Babu and Dinu Paulose, “Experimental Study on Strengthening of Openings in R.C Beams using BFRP Fabric”, Vol. 5, Issue 8, IJIRSET, August 2016. [10] Taha Abdo, Rasha Mabrouk, “Effect of web openings on the structural behavior of RC beams subjected to pure torsion”, MATEC Web of Conferences 120, 01007 (2017). [11] T El-Maaddawy and B El-Ariss, “Behavior of Concrete Beams with Short Shear Span and Web Opening Strengthened in Shear with CFRP Composites”, Journal of Composites for Construction, 2012. [12] T. El Maaddawy and S. Sherif, “FRP composites for shear strengthening of reinforced concrete deep beams with openings” ,Composite Structures, vol. 89, Jun. 2009, pp. 60-69.