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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1327
EFFECT OF WEB OPENINGS OF CONSTANT DEPTH IN BEAMS OF
DIFFERENT SHAPE IN PLAN
SANJEEV JADHAV1, Prof. VAHINI M2
1P.G. Student, Dept. of Civil Engineering, Govt. Engineering College, Devagiri, Haveri, Karnataka, India_581110
2Asst. Professor, Dept. of Civil Engineering, Govt. Engineering College, Devagiri, Haveri, Karnataka, India_581110
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Abstract –A Reinforcedconcretebeam withtransverse web
opening is a facility that allows the services such as telephone
lines, air conditioning and ventilating ducts, to pass through
the structure. Because of the change in the beam section the
corners of the opening are subjected to large concentration of
stress, possibly producing oblique cracks in the beam. The
regions nearby the openings are measured as the weaker part
of the beam. Therefore, a declineinbearingcapabilityandalso
a change in the load transfer mechanism is experienced.
Analytical study is carried out by using ANSYS 16.2. An
attempt is made to analyse three beams of 3m span, with
different shapes in plan such as curved (semicircular), half-
hexagonal, straight beams withandwithoutwebopeningslike
circular, rectangular and square openings of constant depth.
Beams are analyzed for with and without CFRP wrapping.
Provision of CFRP wrapping reduces by 9 to 14% for
deformation, stress and resultant reactions in all types of
beams.
Key Words: Circular beam, half-Hexagonal beam, Straight
beam, Circular opening, Rectangular opening, square
openings, CFRP wrapping, CATIA, ANSYS.
1. INTRODUCTION
Nowadays the RC beam structures are constructed
with web openings commonly used for passing of pipes and
ducts. These web openings contain mainly building services
such as water supplying, electricity; air congaing; Computer
& Telecommunication network lines.
The presence of an opening in the web of a RC beam
leads to various troubles in the behavior of beam, like
decrease the rigidity (stiffness) of beams, unnecessary
cracking, unnecessary deformations and decrease in the
beam strength. Also rapid change in the dimension of cross
section of the beam leads to high stress focus at the corner's
of opening. That possibly will direct to cracking,
unacceptable from visual and durability viewpoints. The
reduced rigidity of the beam may also give increase to
unnecessary deflection under service load and result in a
considerable redistribution of internal forces and moments
in a continuous beam.
Concrete is a brittle material so, number of
methods are used to make stronger the structural elements.
They consist of surface laminates or wrapping of fiber
reinforced polymers in addition to make stronger with a
variety of fibrous materials. The FRP materials are light in
weight. It gives the excellent mechanical strength and being
good resistant to the corrosive nature of aggressive
environment under wide range of temperature. FRP is fine
replacement for steel reinforcement in reinforced concrete
structure. The openings are classified based on their
dimension and positions. Web openings have been
established in different shapes, for example rectangular,
square, circular, hexagonal, elliptical and irregular shapes.
Circular, square and rectangular type of openings is
generally used. If the opening dia is 1/4th of the web depth,
that considered as large opening.
1.1 Types of Beam and their openings Considered
in this Project
A. Straight beam
Straight beam carries only bending moment and
shear force. Some examples of straight beams are ceiling
beams, entrance of buildings, hidden or merged beams
Fig -1: Water pipe passing through straight beam
B. Curved beam
A beam in which the neutral axis in the unloaded
condition in curved instead of straight beam orIfthebeamis
originally curved before applying the bending moment are
termed as curved beam. A horizontally curved beamsloaded
transversely to its plane is subjected to torsioninaddition to
bending and shear. Its C.G always fallows a certain curve i.e.
axis and the plane of figure is normal to the curve. The
curved beam can be an arch but an arch is not necessarily
made from a curved beam. A few examples of curved beams
uses for; circular water tanks, circular ceiling, balconies,
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1328
entrance of public buildings, windows,bridgedecks,interior
of homes and external decorative purpose
Fig -2: Curved beam of a building under construction
C. Half Hexagonal beam
These beams are geometrically half hexagonal in shape.
These beams are used for a few of the fallowing examples,
entrance of buildings, watching towers, windows sill,
interior of homes and external decorative purpose
Fig -3: Watch towers in hexagonal beams shape
2. OBJECTIVES
1. To study the behavior of straight beam, semicircular
beam and half hexagonal shaped beam without
openings.
2. To study the behavior of straight beam, semicircular
beam and half hexagonal shaped beam with circular,
square and rectangular openings for constant depth.
3. To study the effect of strengthening of opening with
CFRP laminates for different beams.
3. METHODOLOGY
3.1 Dimensional Details of Beams
In this work, three different shapes of beams in plan
are used. All are having a span of 3m and constant cross
sectional area of 120x230 i.e., 27600 mm2 and subjected to
concentrated load of 10kN each at 750mm from the support
and application of load is above the webopenings.Bearing of
120x50x8 is provided at each side of support section and
same sized two steel plates are used to applying the load.
3.2 Cross Section of Beams
Beams are having constant cross sectional area. A
Concrete beams of 120x230 i.e., 27600 mm2, And beam with
2mm thick CFRP wrapping is provided at opening zone on
top surface of the beam up to 500mm in length.Area ofCFRP
is 1416mm2 used.
Fig -4: Cross section of concrete beams
3.3 Curved Beam (Semi-Circular)
Fig -5: Curved beam in plan
3.4 Straight Beam
Fig -6: Straight beam in plan
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1329
3.5 Half Hexagonal Beam
Fig.7: Half-hexagonal beam in plan
3.6 Sizes of different web openings for constant depth of
opening
A. Circular opening
B. Rectangular opening
C. Square opening
The openings are provided in the center of beam
web for constant depth, 100mm deep web opening is
provided.
3.7 Modeling by CATIA
All shape of beams are modeled by using CATIA and
analysed by ANSYS forward.
A. Curved Beam Models by CATIA
Fig -8: Curved beam with circular web opening
B. Half hexagonal Beam Models by CATIA
Fig -9: Half-hexagonal beam with circular web opening
C. Straight Beam Models by CATIA
Fig -10: Straight beam with circular web opening
3.8 Material properties
A. Concrete
For concrete isotropic materials was used as fallow,
M-25 Concrete is considered
Density is 2400 kg/m3
Young’s modulus is 25x103 MPa
Poisson’s ratio is 0.18.
B. CFRP wrapping
For CFRP orthotropic elasticity was used and it is a good
strengthening material. In this study, 2mm thick CFRP
wrapping at opening zone is provided. Properties of CFRP
wrapping materials are in Table -1.
Table -1: Properties of CFRP
3.9 Meshing Properties Considered
The meshing used is tetrahedron of 25mm element size.
3.10 Analysis
Analysis of beams is carried out by ANSYS 16.2
software.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1330
All beams are analyzed and solutions are obtained for
the fallowing,
A. Total Deformation in mm
B. Equivalent (Von-Mises) stress in Mpa
C. Forced Reactions at each support ends of beams in kN
Fig -11: Deformation of Concrete curved beam for
constant depth of circular web opening
Fig -12: Deformation of Concrete curved beam for
constant depth of circular web opening with wrapping
Fig -13: Deformation in curved beam for constant depth of
different web opening with and without wrapping
Fig -14: Deformation of Concrete half hexagonal beam for
constant depth of circular web opening
Fig -15: Deformation of concrete half hexagonal beam for
constant depth of circular web opening with wrapping
Fig -16: Deformation in half hexagonal beam for constant
depth of different web openings with and without
wrapping
Fig -17: Deformation of concrete straight beam for
constant depth of circular web opening
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1331
Fig -18: Deformation of concrete straight beam for
constant depth of circular web opening with wrapping
Fig -19: Deformation in straight beam for constant depth
of different web openings with and without wrapping
 Increase in deformation with the provision of web
openings is negligible for constant depth of
openings in all shape of beams.
 Deformation reduces by providing CFRP wrapping.
 Deformation reduces by 12.68% to 14.48% by
providing CFRP wrapping for all type of web
openings of constant depth in curved beam.
 Deformation reduces by 9.14% to 9.24% by
providing CFRP wrapping at opening zone for all
type of web openings of constant depth in half
hexagonal beam.
 Deformation reduces by 9.96% to 12.50% by
providing CFRP wrapping at opening zone for all
type of web openings for constant depth in straight
beam.
Fig-20: Stress for concrete curved beam for constant
depth of circular web opening
Fig-21: Stress for concrete curved beam for constant
depth of circular web opening with wrapping
Fig -22: Stress in curved beam for constant depth of
different web openings with and without wrapping
Fig -23: Stress for concrete half hexagonal beam for
constant depth of circular web opening
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1332
Fig -24: Stress for concrete half hexagonal beam constant
depth of circular web opening with wrapping
Fig -25: Stress in half hexagonal beam for constant depth
of different web openings with and without wrapping
Fig -26: Stress for concrete straight beam for constant
depth of circular web opening
Fig -27: Concrete straight beam for constant depth of
circular web opening and with wrapping
Fig -28: Stress in straight beam for constant depth of
different web openings with and without wrapping
 Maximum stress is observed in square and
rectangular opening for without wrapping beam in
all shape of beams.
 Due to provision of opening in concrete beam stress
will increase by 7.50-10.50% for constant depth of
web openings compared to without openings in
curved beam.
 Due to provision of opening in concrete beam stress
will increase by 4.50-8.30% for constant depth of
web openings compared to without openings in
straight beam.
 Stress reduces with the provision of CFRPwrapping.
 Stress reduces by 12.27 to 14.64% for constant
depth of web openings by the introduction of
wrapping at opening zone in curved beam.
 Stress reduces 8.60 to 8.72% for constant depth of
web openings by the introduction of wrapping at
opening zone in half hexagonal beam.
 Stress reduces 10.46 to 12.80%forconstantdepthof
web openings by the introduction of wrapping at
opening zone in straight beam.
 Minimum stress is observed for curved beam, half
hexagonal beam andstraight beamwithcircularweb
opening with CFRP wrapping than other openings.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1333
Fig -29: Resultant forced reaction for curved beam
Fig -30: Total resultant forced reaction in curved beam for
constant depth of different web openings with and
without wrapping
Fig -31: Resultant forced reaction for half hexagonal
beam
Fig -32: Total resultant forced reaction in half hexagonal
beam for constant depth of different web openings with
and without wrapping
 Due to provision of opening in concrete beam total
resultant reactions will increase by 1.47 to 7.53% for
constant depth of web openings compared to without
openings in curved beam.
 Resultant forced reactions decrease by providing
CFRP wrapping at opening zone for all types of web
openings.
 A reduction of forced reaction 12.32 to 14.05% for
constant depth of web openings due to CFRP
wrapping in curved beam.
 Maximum resultant forced reactionsinhalfhexagonal
beam with circular web opening are observed for
constant depth of opening in half hexagonal beam.
 Reduction of total resultant forced reactions is by
9.09-9.19% for constant depthofwebopeningsdueto
CFRP wrapping in half hexagonal beam.
 Straight beam shows almost same resultant
reactions for with and without openings and
wrappings.
 No variations are observed in this type of straight
beam.
4. CONCLUSIONS
In this study attempt has been to check the behavior of
different shapes of beams in plan such as curved beam, half
hexagonal beam, and straight beam with different openings
such as circular, square, and rectangular opening. The static
analysis is carried out by ANSYS. Totally 18 models are
analyzed. The analysis results are tabulated and compared
i.e., 12 models each in 3 different shape of beams with and
without opening and external surface wrapping at opening
zone.
i. Increases in deformation with the provision of web
openings web openings are negligibleforbothconstant
depths of openings in all type of beams.
ii. Deformation reduces by providing CFRP wrapping for
constant depth of opening in all the types of beams.
iii. 9 to 14% deformations are reduces by providing CFRP
wrapping.
iv. Stress increases with the provision ofwebopeningsfor
constant depth of opening in all the types of beams.
v. CFRP wrapping reduces stress in all beams of web
openings with constant area and constant depth.
vi. 8 to 14% stress are reduces by providing CFRP
wrapping.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1334
vii. Resultant reactions increase in curved beam whereas
for half hexagonal beam resultant reactions reduce by
providing web openings.
viii. A resultant reaction reduces by providing CFRP
wrapping in all types of beams.
ix. 9 to 14% resultant reactions are reduced by providing
CFRP wrapping.
ACKNOWLEDGEMENT
I am thankful to my guide,Asst.Professor.VahiniM
in Civil Engineering Department for her regular
encouragement and able guidance, also I thank my parents,
friends etc. for their continuous support in making this
work complete. My sincere thanks are extended to all staff
of Government Engineering College, Haveri Teachers of the
Department of Civil Engineering and to all my friends and
my parents for their help and supported a lot in successful
completion of the M. Tech dissertation work.
REFERENCES
[1] Athira Boselal, and Archana Sukumaran,
“Semicircular Curved Beam Opening Strengthened
by Various Laminates”, International Journal of
EngineeringResearch&Technology,Vol.-06andpp:
1-04, 2018.
[2] Bhavikatti S.S., “Strength of material” 4th Ed, Vikas
Publication House Pvt. Ltd. Jangpura, New Delhi-
110 014,
[3] Chin S.C., Shafiq N., and Nuruddin M.F.,
“Strengthening of RC Beams with Large Openingsin
Shear by CFRP Laminates: 2D Nonlinear FE
Analysis”, International Journal of Civil and
Environmental Engineering, Vol: 6, pp: 153-158,
2012.
[4] Luay Mohammed Shather, Salam Naji Hussein, and
Laith Falah Hasan, “Theoretical Evaluation Of RC
Deep Beam With Web Opening By Using Nonlinear
Finite Element Software”, International Journal of
Scientific & Engineering Research, Vol. 09, pp: 413-
421, May 2018.
[5] Rajendra Prasad D.S, “Structural analysis-I”, 1st Ed,
Published By Supna Book House Pvt. Ltd.
Gandhinagar Bangalore-560 009, Sept-2012.
[6] Saeed Ahmed Al-Sheikh, “Flexural Behavior of RC
Beams With Opening”, Concrete Research Letters,
Vol. 5, June-2014, and pp: 812-824, Jun 2014.
[7] Subhajit Mondal, Bandyapadhya J.N. and
Xhandra Pal Gautam,“Strengthening and Rehabilitat
ion of Reinforced Concrete Beams with Opening”,
International Journal of Civil and Structural Enginee
ring, Vol. 02, and pp: 127-137, 2011.
[8] Swathy S. Pillai, and Alice Johny, “Analytical Study
on Shear Behavior of Reinforced Concrete Beam
with Varying Shapes ofWebOpening”, International
Journal of Engineering Research & Technology, Vol.
06, and pp: 01-04, 2018.
[9] IS: 456, “Code of practice for plain and reinforced
concrete”. Bureau of Indian Standards: New Delhi;
2000.

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IRJET- Effect of Web Openings of Constant Depth in Beams of Different Shape in Plan

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1327 EFFECT OF WEB OPENINGS OF CONSTANT DEPTH IN BEAMS OF DIFFERENT SHAPE IN PLAN SANJEEV JADHAV1, Prof. VAHINI M2 1P.G. Student, Dept. of Civil Engineering, Govt. Engineering College, Devagiri, Haveri, Karnataka, India_581110 2Asst. Professor, Dept. of Civil Engineering, Govt. Engineering College, Devagiri, Haveri, Karnataka, India_581110 ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract –A Reinforcedconcretebeam withtransverse web opening is a facility that allows the services such as telephone lines, air conditioning and ventilating ducts, to pass through the structure. Because of the change in the beam section the corners of the opening are subjected to large concentration of stress, possibly producing oblique cracks in the beam. The regions nearby the openings are measured as the weaker part of the beam. Therefore, a declineinbearingcapabilityandalso a change in the load transfer mechanism is experienced. Analytical study is carried out by using ANSYS 16.2. An attempt is made to analyse three beams of 3m span, with different shapes in plan such as curved (semicircular), half- hexagonal, straight beams withandwithoutwebopeningslike circular, rectangular and square openings of constant depth. Beams are analyzed for with and without CFRP wrapping. Provision of CFRP wrapping reduces by 9 to 14% for deformation, stress and resultant reactions in all types of beams. Key Words: Circular beam, half-Hexagonal beam, Straight beam, Circular opening, Rectangular opening, square openings, CFRP wrapping, CATIA, ANSYS. 1. INTRODUCTION Nowadays the RC beam structures are constructed with web openings commonly used for passing of pipes and ducts. These web openings contain mainly building services such as water supplying, electricity; air congaing; Computer & Telecommunication network lines. The presence of an opening in the web of a RC beam leads to various troubles in the behavior of beam, like decrease the rigidity (stiffness) of beams, unnecessary cracking, unnecessary deformations and decrease in the beam strength. Also rapid change in the dimension of cross section of the beam leads to high stress focus at the corner's of opening. That possibly will direct to cracking, unacceptable from visual and durability viewpoints. The reduced rigidity of the beam may also give increase to unnecessary deflection under service load and result in a considerable redistribution of internal forces and moments in a continuous beam. Concrete is a brittle material so, number of methods are used to make stronger the structural elements. They consist of surface laminates or wrapping of fiber reinforced polymers in addition to make stronger with a variety of fibrous materials. The FRP materials are light in weight. It gives the excellent mechanical strength and being good resistant to the corrosive nature of aggressive environment under wide range of temperature. FRP is fine replacement for steel reinforcement in reinforced concrete structure. The openings are classified based on their dimension and positions. Web openings have been established in different shapes, for example rectangular, square, circular, hexagonal, elliptical and irregular shapes. Circular, square and rectangular type of openings is generally used. If the opening dia is 1/4th of the web depth, that considered as large opening. 1.1 Types of Beam and their openings Considered in this Project A. Straight beam Straight beam carries only bending moment and shear force. Some examples of straight beams are ceiling beams, entrance of buildings, hidden or merged beams Fig -1: Water pipe passing through straight beam B. Curved beam A beam in which the neutral axis in the unloaded condition in curved instead of straight beam orIfthebeamis originally curved before applying the bending moment are termed as curved beam. A horizontally curved beamsloaded transversely to its plane is subjected to torsioninaddition to bending and shear. Its C.G always fallows a certain curve i.e. axis and the plane of figure is normal to the curve. The curved beam can be an arch but an arch is not necessarily made from a curved beam. A few examples of curved beams uses for; circular water tanks, circular ceiling, balconies,
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1328 entrance of public buildings, windows,bridgedecks,interior of homes and external decorative purpose Fig -2: Curved beam of a building under construction C. Half Hexagonal beam These beams are geometrically half hexagonal in shape. These beams are used for a few of the fallowing examples, entrance of buildings, watching towers, windows sill, interior of homes and external decorative purpose Fig -3: Watch towers in hexagonal beams shape 2. OBJECTIVES 1. To study the behavior of straight beam, semicircular beam and half hexagonal shaped beam without openings. 2. To study the behavior of straight beam, semicircular beam and half hexagonal shaped beam with circular, square and rectangular openings for constant depth. 3. To study the effect of strengthening of opening with CFRP laminates for different beams. 3. METHODOLOGY 3.1 Dimensional Details of Beams In this work, three different shapes of beams in plan are used. All are having a span of 3m and constant cross sectional area of 120x230 i.e., 27600 mm2 and subjected to concentrated load of 10kN each at 750mm from the support and application of load is above the webopenings.Bearing of 120x50x8 is provided at each side of support section and same sized two steel plates are used to applying the load. 3.2 Cross Section of Beams Beams are having constant cross sectional area. A Concrete beams of 120x230 i.e., 27600 mm2, And beam with 2mm thick CFRP wrapping is provided at opening zone on top surface of the beam up to 500mm in length.Area ofCFRP is 1416mm2 used. Fig -4: Cross section of concrete beams 3.3 Curved Beam (Semi-Circular) Fig -5: Curved beam in plan 3.4 Straight Beam Fig -6: Straight beam in plan
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1329 3.5 Half Hexagonal Beam Fig.7: Half-hexagonal beam in plan 3.6 Sizes of different web openings for constant depth of opening A. Circular opening B. Rectangular opening C. Square opening The openings are provided in the center of beam web for constant depth, 100mm deep web opening is provided. 3.7 Modeling by CATIA All shape of beams are modeled by using CATIA and analysed by ANSYS forward. A. Curved Beam Models by CATIA Fig -8: Curved beam with circular web opening B. Half hexagonal Beam Models by CATIA Fig -9: Half-hexagonal beam with circular web opening C. Straight Beam Models by CATIA Fig -10: Straight beam with circular web opening 3.8 Material properties A. Concrete For concrete isotropic materials was used as fallow, M-25 Concrete is considered Density is 2400 kg/m3 Young’s modulus is 25x103 MPa Poisson’s ratio is 0.18. B. CFRP wrapping For CFRP orthotropic elasticity was used and it is a good strengthening material. In this study, 2mm thick CFRP wrapping at opening zone is provided. Properties of CFRP wrapping materials are in Table -1. Table -1: Properties of CFRP 3.9 Meshing Properties Considered The meshing used is tetrahedron of 25mm element size. 3.10 Analysis Analysis of beams is carried out by ANSYS 16.2 software.
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1330 All beams are analyzed and solutions are obtained for the fallowing, A. Total Deformation in mm B. Equivalent (Von-Mises) stress in Mpa C. Forced Reactions at each support ends of beams in kN Fig -11: Deformation of Concrete curved beam for constant depth of circular web opening Fig -12: Deformation of Concrete curved beam for constant depth of circular web opening with wrapping Fig -13: Deformation in curved beam for constant depth of different web opening with and without wrapping Fig -14: Deformation of Concrete half hexagonal beam for constant depth of circular web opening Fig -15: Deformation of concrete half hexagonal beam for constant depth of circular web opening with wrapping Fig -16: Deformation in half hexagonal beam for constant depth of different web openings with and without wrapping Fig -17: Deformation of concrete straight beam for constant depth of circular web opening
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1331 Fig -18: Deformation of concrete straight beam for constant depth of circular web opening with wrapping Fig -19: Deformation in straight beam for constant depth of different web openings with and without wrapping  Increase in deformation with the provision of web openings is negligible for constant depth of openings in all shape of beams.  Deformation reduces by providing CFRP wrapping.  Deformation reduces by 12.68% to 14.48% by providing CFRP wrapping for all type of web openings of constant depth in curved beam.  Deformation reduces by 9.14% to 9.24% by providing CFRP wrapping at opening zone for all type of web openings of constant depth in half hexagonal beam.  Deformation reduces by 9.96% to 12.50% by providing CFRP wrapping at opening zone for all type of web openings for constant depth in straight beam. Fig-20: Stress for concrete curved beam for constant depth of circular web opening Fig-21: Stress for concrete curved beam for constant depth of circular web opening with wrapping Fig -22: Stress in curved beam for constant depth of different web openings with and without wrapping Fig -23: Stress for concrete half hexagonal beam for constant depth of circular web opening
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1332 Fig -24: Stress for concrete half hexagonal beam constant depth of circular web opening with wrapping Fig -25: Stress in half hexagonal beam for constant depth of different web openings with and without wrapping Fig -26: Stress for concrete straight beam for constant depth of circular web opening Fig -27: Concrete straight beam for constant depth of circular web opening and with wrapping Fig -28: Stress in straight beam for constant depth of different web openings with and without wrapping  Maximum stress is observed in square and rectangular opening for without wrapping beam in all shape of beams.  Due to provision of opening in concrete beam stress will increase by 7.50-10.50% for constant depth of web openings compared to without openings in curved beam.  Due to provision of opening in concrete beam stress will increase by 4.50-8.30% for constant depth of web openings compared to without openings in straight beam.  Stress reduces with the provision of CFRPwrapping.  Stress reduces by 12.27 to 14.64% for constant depth of web openings by the introduction of wrapping at opening zone in curved beam.  Stress reduces 8.60 to 8.72% for constant depth of web openings by the introduction of wrapping at opening zone in half hexagonal beam.  Stress reduces 10.46 to 12.80%forconstantdepthof web openings by the introduction of wrapping at opening zone in straight beam.  Minimum stress is observed for curved beam, half hexagonal beam andstraight beamwithcircularweb opening with CFRP wrapping than other openings.
  • 7. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1333 Fig -29: Resultant forced reaction for curved beam Fig -30: Total resultant forced reaction in curved beam for constant depth of different web openings with and without wrapping Fig -31: Resultant forced reaction for half hexagonal beam Fig -32: Total resultant forced reaction in half hexagonal beam for constant depth of different web openings with and without wrapping  Due to provision of opening in concrete beam total resultant reactions will increase by 1.47 to 7.53% for constant depth of web openings compared to without openings in curved beam.  Resultant forced reactions decrease by providing CFRP wrapping at opening zone for all types of web openings.  A reduction of forced reaction 12.32 to 14.05% for constant depth of web openings due to CFRP wrapping in curved beam.  Maximum resultant forced reactionsinhalfhexagonal beam with circular web opening are observed for constant depth of opening in half hexagonal beam.  Reduction of total resultant forced reactions is by 9.09-9.19% for constant depthofwebopeningsdueto CFRP wrapping in half hexagonal beam.  Straight beam shows almost same resultant reactions for with and without openings and wrappings.  No variations are observed in this type of straight beam. 4. CONCLUSIONS In this study attempt has been to check the behavior of different shapes of beams in plan such as curved beam, half hexagonal beam, and straight beam with different openings such as circular, square, and rectangular opening. The static analysis is carried out by ANSYS. Totally 18 models are analyzed. The analysis results are tabulated and compared i.e., 12 models each in 3 different shape of beams with and without opening and external surface wrapping at opening zone. i. Increases in deformation with the provision of web openings web openings are negligibleforbothconstant depths of openings in all type of beams. ii. Deformation reduces by providing CFRP wrapping for constant depth of opening in all the types of beams. iii. 9 to 14% deformations are reduces by providing CFRP wrapping. iv. Stress increases with the provision ofwebopeningsfor constant depth of opening in all the types of beams. v. CFRP wrapping reduces stress in all beams of web openings with constant area and constant depth. vi. 8 to 14% stress are reduces by providing CFRP wrapping.
  • 8. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1334 vii. Resultant reactions increase in curved beam whereas for half hexagonal beam resultant reactions reduce by providing web openings. viii. A resultant reaction reduces by providing CFRP wrapping in all types of beams. ix. 9 to 14% resultant reactions are reduced by providing CFRP wrapping. ACKNOWLEDGEMENT I am thankful to my guide,Asst.Professor.VahiniM in Civil Engineering Department for her regular encouragement and able guidance, also I thank my parents, friends etc. for their continuous support in making this work complete. My sincere thanks are extended to all staff of Government Engineering College, Haveri Teachers of the Department of Civil Engineering and to all my friends and my parents for their help and supported a lot in successful completion of the M. Tech dissertation work. REFERENCES [1] Athira Boselal, and Archana Sukumaran, “Semicircular Curved Beam Opening Strengthened by Various Laminates”, International Journal of EngineeringResearch&Technology,Vol.-06andpp: 1-04, 2018. [2] Bhavikatti S.S., “Strength of material” 4th Ed, Vikas Publication House Pvt. Ltd. Jangpura, New Delhi- 110 014, [3] Chin S.C., Shafiq N., and Nuruddin M.F., “Strengthening of RC Beams with Large Openingsin Shear by CFRP Laminates: 2D Nonlinear FE Analysis”, International Journal of Civil and Environmental Engineering, Vol: 6, pp: 153-158, 2012. [4] Luay Mohammed Shather, Salam Naji Hussein, and Laith Falah Hasan, “Theoretical Evaluation Of RC Deep Beam With Web Opening By Using Nonlinear Finite Element Software”, International Journal of Scientific & Engineering Research, Vol. 09, pp: 413- 421, May 2018. [5] Rajendra Prasad D.S, “Structural analysis-I”, 1st Ed, Published By Supna Book House Pvt. Ltd. Gandhinagar Bangalore-560 009, Sept-2012. [6] Saeed Ahmed Al-Sheikh, “Flexural Behavior of RC Beams With Opening”, Concrete Research Letters, Vol. 5, June-2014, and pp: 812-824, Jun 2014. [7] Subhajit Mondal, Bandyapadhya J.N. and Xhandra Pal Gautam,“Strengthening and Rehabilitat ion of Reinforced Concrete Beams with Opening”, International Journal of Civil and Structural Enginee ring, Vol. 02, and pp: 127-137, 2011. [8] Swathy S. Pillai, and Alice Johny, “Analytical Study on Shear Behavior of Reinforced Concrete Beam with Varying Shapes ofWebOpening”, International Journal of Engineering Research & Technology, Vol. 06, and pp: 01-04, 2018. [9] IS: 456, “Code of practice for plain and reinforced concrete”. Bureau of Indian Standards: New Delhi; 2000.