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International Journal of Civil Engineering and Technology (IJCIET)Volume 8, Issue 7, JulyAvailable online at ISSN Print: 0976 © IAEME
DESIGN OVERVIEW FOR STRENGTH
ABSTRACTStrengthening of structures is a complex task. Different systems are used of which
using externamembers is well accepted technology. Near surface mounted (NSM) FRP presents an alternate way to improve flexural and shear strength of concrete structures. Though the method has been inpromising results. This paper is an attempt to give overview of existing research in this area, identify gaps of knowledge, outline direction for future research and provide designers with protocol Key wordsconcrete, nearCite this ArticleOverview for RC Members Strengthened Using Near Surface Mounted FRP Compositespp. 373http://www.iaeme.com/IJCIET/issues.
1. INTRODUCTA considerable number of structures that are presently in use have been constructed in the last 20-30 years. With time, some of these structures need to be upgraded due to deterioration caused over their period of use. The errors made while designing astructures also necessitates upgradation of these structures over time. In the last two decades fibre reinforced polymernumber of projects across the globe have demonstreinforced polymer laminates for strengthening reinforced concretecritical to have sufficient knowledge about behaviour and applicability of different FRP materials and techniques. FRP reinfo
http://www.iaeme.com/
International Journal of Civil Engineering and Technology (IJCIET)Volume 8, Issue 7, JulyAvailable online at http://www.iaeme.com/IJCIET/issues.ISSN Print: 0976-6308 and ISS
© IAEME Publication
DESIGN OVERVIEW FOR STRENGTH
MOUNTED FRP COMPOSIT
Sardar Vallabhbhai National Institute of Techn
Sardar Vallabhbhai National Institute of Technology, Surat,
ABSTRACT Strengthening of structures is a complex task. Different systems are used of which
using externally bonded FRP laminates for strengthening of reinforced and concrete members is well accepted technology. Near surface mounted (NSM) FRP presents an alternate way to improve flexural and shear strength of concrete structures. Though the method has been inpromising results. This paper is an attempt to give overview of existing research in this area, identify gaps of knowledge, outline direction for future research and provide designers with protocol Key words: Design, Strengthening, FRP, Composites, Reinforced and Preconcrete, near-surface mountedCite this ArticleOverview for RC Members Strengthened Using Near Surface Mounted FRP Composites. International Journal of Civil Engineering and Technology
373–384. http://www.iaeme.com/IJCIET/issues.
1. INTRODUCTA considerable number of structures that are presently in use have been constructed in the last
30 years. With time, some of these structures need to be upgraded due to deterioration caused over their period of use. The errors made while designing astructures also necessitates upgradation of these structures over time. In the last two decades fibre reinforced polymernumber of projects across the globe have demonstreinforced polymer laminates for strengthening reinforced concretecritical to have sufficient knowledge about behaviour and applicability of different FRP materials and techniques. FRP reinfo
http://www.iaeme.com/IJCIET/index.
International Journal of Civil Engineering and Technology (IJCIET)Volume 8, Issue 7, July 2017, pp.
http://www.iaeme.com/IJCIET/issues.6308 and ISSN Online: 0976
Publication
DESIGN OVERVIEW FOR STRENGTHE
MOUNTED FRP COMPOSIT
Ph.D Scholar, Applied Mechanics Department, Sardar Vallabhbhai National Institute of Techn
Professor, Applied Mechanics Department, Sardar Vallabhbhai National Institute of Technology, Surat,
Strengthening of structures is a complex task. Different systems are used of which lly bonded FRP laminates for strengthening of reinforced and concrete
members is well accepted technology. Near surface mounted (NSM) FRP presents an alternate way to improve flexural and shear strength of concrete structures. Though the method has been in promising results. This paper is an attempt to give overview of existing research in this area, identify gaps of knowledge, outline direction for future research and provide designers with protocol for rational implementation of technology.
Design, Strengthening, FRP, Composites, Reinforced and Presurface mounted
Cite this Article: Aditya N. Contractor and Dr. Sandip A. VasanwOverview for RC Members Strengthened Using Near Surface Mounted FRP
International Journal of Civil Engineering and Technology
http://www.iaeme.com/IJCIET/issues.
1. INTRODUCTION A considerable number of structures that are presently in use have been constructed in the last
30 years. With time, some of these structures need to be upgraded due to deterioration caused over their period of use. The errors made while designing astructures also necessitates upgradation of these structures over time. In the last two decades fibre reinforced polymer (FRP) materials have emerged as promising repair materials. A great number of projects across the globe have demonstreinforced polymer laminates for strengthening reinforced concretecritical to have sufficient knowledge about behaviour and applicability of different FRP materials and techniques. FRP reinfo
IJCIET/index.asp
International Journal of Civil Engineering and Technology (IJCIET)2017, pp. 373–384, Article ID: IJCIET_08_07
http://www.iaeme.com/IJCIET/issues.N Online: 0976
Scopus Indexed
DESIGN OVERVIEW FOR ENED USING NEAR SURFA
MOUNTED FRP COMPOSITAditya N. Contractor
Ph.D Scholar, Applied Mechanics Department, Sardar Vallabhbhai National Institute of Techn
Dr.Sandip A. VasanwalaProfessor, Applied Mechanics Department,
Sardar Vallabhbhai National Institute of Technology, Surat,
Strengthening of structures is a complex task. Different systems are used of which lly bonded FRP laminates for strengthening of reinforced and concrete
members is well accepted technology. Near surface mounted (NSM) FRP presents an alternate way to improve flexural and shear strength of concrete structures. Though
practice only recently research in the field has yielded promising results. This paper is an attempt to give overview of existing research in this area, identify gaps of knowledge, outline direction for future research and provide
for rational implementation of technology.Design, Strengthening, FRP, Composites, Reinforced and Pre
surface mounted (NSM), reinforcement, bond, detailingAditya N. Contractor and Dr. Sandip A. Vasanw
Overview for RC Members Strengthened Using Near Surface Mounted FRP International Journal of Civil Engineering and Technology
http://www.iaeme.com/IJCIET/issues.asp?JType=IJCIET&VType=8&IType=7
A considerable number of structures that are presently in use have been constructed in the last 30 years. With time, some of these structures need to be upgraded due to deterioration
caused over their period of use. The errors made while designing astructures also necessitates upgradation of these structures over time. In the last two decades
(FRP) materials have emerged as promising repair materials. A great number of projects across the globe have demonstreinforced polymer laminates for strengthening reinforced concretecritical to have sufficient knowledge about behaviour and applicability of different FRP materials and techniques. FRP reinforcements are available in variety of shapes. They could
asp 373
International Journal of Civil Engineering and Technology (IJCIET)Article ID: IJCIET_08_07
http://www.iaeme.com/IJCIET/issues.asp?JType=IJCIET&VType=8&IType=7N Online: 0976-6316
Indexed
DESIGN OVERVIEW FOR NED USING NEAR SURFA
MOUNTED FRP COMPOSITAditya N. Contractor
Ph.D Scholar, Applied Mechanics Department, Sardar Vallabhbhai National Institute of Techn
Dr.Sandip A. VasanwalaProfessor, Applied Mechanics Department,
Sardar Vallabhbhai National Institute of Technology, Surat,
Strengthening of structures is a complex task. Different systems are used of which lly bonded FRP laminates for strengthening of reinforced and concrete
members is well accepted technology. Near surface mounted (NSM) FRP presents an alternate way to improve flexural and shear strength of concrete structures. Though
practice only recently research in the field has yielded promising results. This paper is an attempt to give overview of existing research in this area, identify gaps of knowledge, outline direction for future research and provide
for rational implementation of technology.Design, Strengthening, FRP, Composites, Reinforced and Pre
(NSM), reinforcement, bond, detailingAditya N. Contractor and Dr. Sandip A. Vasanw
Overview for RC Members Strengthened Using Near Surface Mounted FRP International Journal of Civil Engineering and Technology
asp?JType=IJCIET&VType=8&IType=7
A considerable number of structures that are presently in use have been constructed in the last 30 years. With time, some of these structures need to be upgraded due to deterioration
caused over their period of use. The errors made while designing astructures also necessitates upgradation of these structures over time. In the last two decades
(FRP) materials have emerged as promising repair materials. A great number of projects across the globe have demonstrated the use of externally bonded fibrereinforced polymer laminates for strengthening reinforced concretecritical to have sufficient knowledge about behaviour and applicability of different FRP
rcements are available in variety of shapes. They could
International Journal of Civil Engineering and Technology (IJCIET)Article ID: IJCIET_08_07
asp?JType=IJCIET&VType=8&IType=7
DESIGN OVERVIEW FOR RC MEMBERS NED USING NEAR SURFA
MOUNTED FRP COMPOSITAditya N. Contractor
Ph.D Scholar, Applied Mechanics Department, Sardar Vallabhbhai National Institute of Technology, Surat,
Dr.Sandip A. Vasanwala Professor, Applied Mechanics Department,
Sardar Vallabhbhai National Institute of Technology, Surat,
Strengthening of structures is a complex task. Different systems are used of which lly bonded FRP laminates for strengthening of reinforced and concrete
members is well accepted technology. Near surface mounted (NSM) FRP presents an alternate way to improve flexural and shear strength of concrete structures. Though
practice only recently research in the field has yielded promising results. This paper is an attempt to give overview of existing research in this area, identify gaps of knowledge, outline direction for future research and provide
for rational implementation of technology.Design, Strengthening, FRP, Composites, Reinforced and Pre
(NSM), reinforcement, bond, detailingAditya N. Contractor and Dr. Sandip A. Vasanw
Overview for RC Members Strengthened Using Near Surface Mounted FRP International Journal of Civil Engineering and Technology
asp?JType=IJCIET&VType=8&IType=7
A considerable number of structures that are presently in use have been constructed in the last 30 years. With time, some of these structures need to be upgraded due to deterioration
caused over their period of use. The errors made while designing astructures also necessitates upgradation of these structures over time. In the last two decades
(FRP) materials have emerged as promising repair materials. A great rated the use of externally bonded fibre
reinforced polymer laminates for strengthening reinforced concretecritical to have sufficient knowledge about behaviour and applicability of different FRP
rcements are available in variety of shapes. They could
International Journal of Civil Engineering and Technology (IJCIET) Article ID: IJCIET_08_07_040
asp?JType=IJCIET&VType=8&IType=7
RC MEMBERS NED USING NEAR SURFA
MOUNTED FRP COMPOSITES
Ph.D Scholar, Applied Mechanics Department, ology, Surat,
Professor, Applied Mechanics Department, Sardar Vallabhbhai National Institute of Technology, Surat,
Strengthening of structures is a complex task. Different systems are used of which lly bonded FRP laminates for strengthening of reinforced and concrete
members is well accepted technology. Near surface mounted (NSM) FRP presents an alternate way to improve flexural and shear strength of concrete structures. Though
practice only recently research in the field has yielded promising results. This paper is an attempt to give overview of existing research in this area, identify gaps of knowledge, outline direction for future research and provide
for rational implementation of technology. Design, Strengthening, FRP, Composites, Reinforced and Pre
(NSM), reinforcement, bond, detailing.Aditya N. Contractor and Dr. Sandip A. Vasanw
Overview for RC Members Strengthened Using Near Surface Mounted FRP International Journal of Civil Engineering and Technology
asp?JType=IJCIET&VType=8&IType=7
A considerable number of structures that are presently in use have been constructed in the last 30 years. With time, some of these structures need to be upgraded due to deterioration
caused over their period of use. The errors made while designing and executing these structures also necessitates upgradation of these structures over time. In the last two decades
(FRP) materials have emerged as promising repair materials. A great rated the use of externally bonded fibre
reinforced polymer laminates for strengthening reinforced concrete (RC) structures. It is critical to have sufficient knowledge about behaviour and applicability of different FRP
rcements are available in variety of shapes. They could
asp?JType=IJCIET&VType=8&IType=7
RC MEMBERS NED USING NEAR SURFACE
ES
ology, Surat, India
Sardar Vallabhbhai National Institute of Technology, Surat, India
Strengthening of structures is a complex task. Different systems are used of which lly bonded FRP laminates for strengthening of reinforced and concrete
members is well accepted technology. Near surface mounted (NSM) FRP presents an alternate way to improve flexural and shear strength of concrete structures. Though
practice only recently research in the field has yielded promising results. This paper is an attempt to give overview of existing research in this area, identify gaps of knowledge, outline direction for future research and provide
Design, Strengthening, FRP, Composites, Reinforced and Pre-stressed .
Aditya N. Contractor and Dr. Sandip A. Vasanwala. Design Overview for RC Members Strengthened Using Near Surface Mounted FRP
International Journal of Civil Engineering and Technology, 8(7), 2017,
asp?JType=IJCIET&VType=8&IType=7
A considerable number of structures that are presently in use have been constructed in the last 30 years. With time, some of these structures need to be upgraded due to deterioration
nd executing these structures also necessitates upgradation of these structures over time. In the last two decades
(FRP) materials have emerged as promising repair materials. A great rated the use of externally bonded fibre
(RC) structures. It is critical to have sufficient knowledge about behaviour and applicability of different FRP
rcements are available in variety of shapes. They could
asp?JType=IJCIET&VType=8&IType=7
RC MEMBERS CE
Strengthening of structures is a complex task. Different systems are used of which lly bonded FRP laminates for strengthening of reinforced and concrete
members is well accepted technology. Near surface mounted (NSM) FRP presents an alternate way to improve flexural and shear strength of concrete structures. Though
practice only recently research in the field has yielded promising results. This paper is an attempt to give overview of existing research in this area, identify gaps of knowledge, outline direction for future research and provide
stressed
Design Overview for RC Members Strengthened Using Near Surface Mounted FRP
, 8(7), 2017,
A considerable number of structures that are presently in use have been constructed in the last 30 years. With time, some of these structures need to be upgraded due to deterioration
nd executing these structures also necessitates upgradation of these structures over time. In the last two decades
(FRP) materials have emerged as promising repair materials. A great rated the use of externally bonded fibre-
(RC) structures. It is critical to have sufficient knowledge about behaviour and applicability of different FRP
rcements are available in variety of shapes. They could
Aditya N. Contractor and Dr. Sandip A. Vasanwala
http://www.iaeme.com/IJCIET/index.asp 374 [email protected]
be circular or rectangular or strips made by pultrusion or fabrics made with fibres in one or at least two different directions used in externally bonding wet lay-up technology. The fibrous phase of these reinforcements is composed of carbon(C), glass(G) and aramid(A) while in most cases matrix phase fibres are held together by epoxy. High strength adhesives can be used to bind FRP materials to the exterior of concrete structures. FRP reinforcements can also be inserted into grooves cut into concrete cover of RC element by a technique called Near Surface Mounting(NSM) FRP. FRP reinforcements are bonded therein with appropriate grove filler (epoxy paste or cement grout).
The use of Near Surface Mounted FRP reinforcement for increasing flexural and shear strength of deficient reinforced and pre-stressed (RC and PC) members (Alkhrdaji et al. 1999, De Lorenzis et al. 2000) as well as strengthening unreinforced masonry walls (Tumialan et al. 2001) has gained popularity in recent decades. The various advantages compared to externally bonded FRP laminates include but not limited to the possibility of anchoring reinforcement into adjacent members, upgrading elements in their negative moment region with reinforcement not exposed to potential mechanical damage typical to floor or deck systems (Nanni et al. 1999). NSM FRP technique minimises surface preparation work. Since the use of primer and putty is not necessary the installation time after groove cutting is also minimised when compared to externally bonded FRP laminates. NSM reinforcement also finds application in seismic retrofitting of RC column-beam joints to either provide additional strength or ductility when moving the failure zone from column to beam (Prota et al. 2001). The aesthetics of the strengthened structure is virtually unchanged. Because of these advantages NSM FRP method is in many cases superior to externally bonded FRP method or used in combination with it. Researchers across the globe have become aware of the practical advantages of this method resulting in boom in research in this area. Against this background this paper provides a comprehensive review of existing research in this area, gaps in knowledge and outlines for further future research.
2. HISTORY OF TECHNOLOGY Early 1950s in Europe witnessed the use of NSM reinforcement for strengthening of RC structures. Because of excessive settlement of steel cage during construction an RC bridge in Sweden needed to be upgraded in its negative moment region in 1948. The task was accomplished by inserting steel reinforcements bars in grooves made in concrete surface and filling it with cement mortar (Asplund 1949). NSM reinforcement has recently been used to upgrade masonry structures to increase its ductility and tensile strength (Atkinsosn and Schuller 1992). The technology has emerged as an effective and economical means to repair and strengthen low-rise masonry buildings and arch bridges (Garrity 1995). The original black steel used at the onset of development has been replaced by stainless steel. Epoxy-based grouts have partially replaced cementitious grout that were used for embedding reinforcement. FRP bars today are prime choice because of their noncorrosive properties and the ability of tailoring bar stiffness to the needs of application. Epoxy-based pastes or latex-modified cement grouts can be used owing to their rapid setting and bond strength.
Design Overview for RC Members Strengthened Using Near Surface Mounted FRP Composites
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Figure 1technology 2001) where FRP bars have been used to enhance both flexural and confinement capacity, for
silo strengthening (Emmons et al.)
Figure 3 bars were used to increase the bridge deck negative
Figure 5
Design Overview for RC Members Strengthened Using Near Surface Mounted FRP Composites
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Figure 1 Shows a recent application of NSM technology 2001) where FRP bars have been used to
nhance both flexural and confinement capacity, for silo strengthening (Emmons et al.)
Represents a similar case where NSM bars were used to increase the bridge deck negative
moment capacity (Warren 1998).
Figure 5 Shows the applica
Design Overview for RC Members Strengthened Using Near Surface Mounted FRP Composites
http://www.iaeme.com/IJCIET/index.
hows a recent application of NSM technology 2001) where FRP bars have been used to
nhance both flexural and confinement capacity, for silo strengthening (Emmons et al.)
epresents a similar case where NSM bars were used to increase the bridge deck negative
moment capacity (Warren 1998).
hows the application of rectangularcrack on the soffit of a bridge deck (Casadei et al. 2003).
Design Overview for RC Members Strengthened Using Near Surface Mounted FRP Composites
IJCIET/index.asp
hows a recent application of NSM technology 2001) where FRP bars have been used to
nhance both flexural and confinement capacity, for silo strengthening (Emmons et al.)
epresents a similar case where NSM bars were used to increase the bridge deck negative
moment capacity (Warren 1998).
tion of rectangularcrack on the soffit of a bridge deck (Casadei et al. 2003).
Design Overview for RC Members Strengthened Using Near Surface Mounted FRP Composites
asp 375
hows a recent application of NSM technology 2001) where FRP bars have been used to
nhance both flexural and confinement capacity, for
Figure 2technology for upgrading a solid RC bridge deck
epresents a similar case where NSM FRP bars were used to increase the bridge deck negative
Figure 4strengthened in shear with carbon FRP bars used
as NSM reinforcement (Hogue et al., 1999).
tion of rectangular-section carbon FRP bars used to stitch a longitudinal crack on the soffit of a bridge deck (Casadei et al. 2003).
Design Overview for RC Members Strengthened Using Near Surface Mounted FRP Composites
Figure 2 Illustrates the application of this technology for upgrading a solid RC bridge deck
(Alkhrdaji et al. 2000).
Figure 4 Shows the grooving of RC joists to be strengthened in shear with carbon FRP bars used
as NSM reinforcement (Hogue et al., 1999).
section carbon FRP bars used to stitch a longitudinal crack on the soffit of a bridge deck (Casadei et al. 2003).
Design Overview for RC Members Strengthened Using Near Surface Mounted FRP Composites
llustrates the application of this technology for upgrading a solid RC bridge deck
(Alkhrdaji et al. 2000).
hows the grooving of RC joists to be strengthened in shear with carbon FRP bars used
as NSM reinforcement (Hogue et al., 1999).
section carbon FRP bars used to stitch a longitudinal crack on the soffit of a bridge deck (Casadei et al. 2003).
Design Overview for RC Members Strengthened Using Near Surface Mounted FRP Composites
llustrates the application of this technology for upgrading a solid RC bridge deck
(Alkhrdaji et al. 2000).
hows the grooving of RC joists to be strengthened in shear with carbon FRP bars used
as NSM reinforcement (Hogue et al., 1999).
section carbon FRP bars used to stitch a longitudinal
Design Overview for RC Members Strengthened Using Near Surface Mounted FRP Composites
llustrates the application of this technology for upgrading a solid RC bridge deck
hows the grooving of RC joists to be strengthened in shear with carbon FRP bars used
as NSM reinforcement (Hogue et al., 1999).
section carbon FRP bars used to stitch a longitudinal
Aditya N. Contractor and Dr. Sandip A. Vasanwala
http://www.iaeme.com/IJCIET/index.asp 376 [email protected]
3. DESIGN PHILOSOPHY The strength design approach using NSM FRP reinforcement for RC and PC members recommends use of strength reduction factors as given in ACI 318(1999). It is rather necessary to refer to this version of Building Code than 2008 edition to maintain consistency with design guides issued by ACI on the use of FRP for new construction and repair.
Equations presented in this paper are based on the principle of force equilibrium, strain compatibility and constitutive laws of materials. It is also important to refer to the “Guide for the Design and Construction of Externally Bonded FRP Systems for Strengthening Concrete Structures” reported by ACI Committee 440.2R (2008), and the “Guide for the Design and Construction of Concrete Reinforced with FRP Bars” also reported by ACI Committee 440.1R (2006).
Table 1 Environment –reduction factor ( )
Exposure condition Fiber and resin type CE Interior exposure Carbon/epoxy 0.95 Glass/epoxy 0.75 Aramid/epoxy 0.85 Exterior exposure (bridges, piers & unenclosed parking garages)
Carbon/epoxy 0.85
Glass/epoxy 0.65 Aramid/epoxy 0.75 Exposure condition Fiber and resin type CE Aggressive environment (chemical plants & waste water treatment plants)
Carbon/epoxy 0.85
Glass/epoxy 0.50 Aramid/epoxy 0.70
The strengthening threshold imposed to guard the structure against collapse or failure of FRP system due to fire, vandalism, temperature elevation, repeated freeze-thaw cycles, vandalism and other factors should be calculated with great caution. Equation 1 describes the existing strength of the structure(ϕRn) to resist a level of load.
(ϕRn)existing= (1.2D + 0.85L)new (1)
Material properties of FRP reinforcement reported by manufacturers, such as ultimate tensile strength, typically do not consider long-term exposure to environmental conditions, and should be considered as initial properties. FRP properties to be used in all design equations are given as follows (ACI 440 2006 and 2008):
ffu = CEf*fu (2)
εfu = CEε*fu
where ffu and εfu are the FRP design tensile strength and ultimate strain considering the environmental reduction factor (CE) as given in Table 1, and CEf*
fuand CEε*fu represent the
FRP guaranteed tensile strength and ultimate strain as reported by the manufacturer. FRP design modulus of elasticity is the guaranteed value reported by the manufacturer.
Design Overview for RC Members Strengthened Using Near Surface Mounted FRP Composites
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4. FLEXURAL DESIGN
Figure 6 illustrates calculation guidance for flexural strengthening effect for rectangular section resulting from longmember. Following assumptions are used in design
a plane section before loading remains plane after loading
Tensile strength is neglected for concrete and its maximum usable compressive strain is 0
FRP reinforcement has a linear elastic behaviour upto failure
Perfect bond exists between FRP reinforcements and surrounding concreteStrength reduction approach follows
with low ductility is compensatedstrength is achieved by applying a factor of 0.70 to brittle elements and 0.90 to ductile elements. The strength reduction factor (
Here εMode of failure should be g
procedure presented in this paper involves selecting a given neutral axis depth (c) and a failure mode (i.e. selecting ε c = ε cu or ε f = ε fe); calculating the strain level in each material using strain compatibility; calculating the associated stress level in each material from its stress-strain relationship; and checking internal force equilibrium. If the internal force resultants do not equilibrate, the depth to the neutral axis is revised and repeated.
Whitney stress block approach (ACI 318 1999) can be used as given when concrete crushing controls failure. When FRP rupture or concrete delamination controls failure an appropriate nona rectangular stress block appropriate for holding particular level of strain in concrete should be used. Equation 4 and 5 gives parameters for such stress block (see Figure 6) (Todeschini et al. 1982).
Design Overview for RC Members Strengthened Using Near Surface Mounted FRP Composites
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4. FLEXURAL DESIGN
Figure 6
Figure 6 illustrates calculation guidance for flexural strengthening effect for rectangular section resulting from longmember. Following assumptions are used in design
a plane section before loading remains plane after loading
Tensile strength is neglected for concrete and its maximum usable compressive strain is 0
FRP reinforcement has a linear elastic behaviour upto failure
Perfect bond exists between FRP reinforcements and surrounding concreteStrength reduction approach follows
with low ductility is compensatedstrength is achieved by applying a factor of 0.70 to brittle elements and 0.90 to ductile elements. The strength reduction factor (
Here εs and εy is the strain in reinforcing steel at ultimate and yielding respectively.Mode of failure should be g
procedure presented in this paper involves selecting a given neutral axis depth (c) and a failure mode (i.e. selecting ε c = ε cu or ε f = ε fe); calculating the strain level in each material
strain compatibility; calculating the associated stress level in each material from its strain relationship; and checking internal force equilibrium. If the internal force
resultants do not equilibrate, the depth to the neutral axis is revised and repeated.
Whitney stress block approach (ACI 318 1999) can be used as given when concrete crushing controls failure. When FRP rupture or concrete delamination controls failure an appropriate non-linear stressa rectangular stress block appropriate for holding particular level of strain in concrete should be used. Equation 4 and 5 gives parameters for such stress block (see Figure 6) (Todeschini et al. 1982).
Design Overview for RC Members Strengthened Using Near Surface Mounted FRP Composites
http://www.iaeme.com/IJCIET/index.
4. FLEXURAL DESIGN
Ultimate internal strain and stress distribution for rectangular sections.
Figure 6 illustrates calculation guidance for flexural strengthening effect for rectangular section resulting from longitudinal FRP reinforcement mounted onto tension face of RC member. Following assumptions are used in design
a plane section before loading remains plane after loading
Tensile strength is neglected for concrete and its maximum usable compressive strain is 0
FRP reinforcement has a linear elastic behaviour upto failure
Perfect bond exists between FRP reinforcements and surrounding concreteStrength reduction approach follows
with low ductility is compensatedstrength is achieved by applying a factor of 0.70 to brittle elements and 0.90 to ductile elements. The strength reduction factor (
∅ =
⎩⎪⎨
⎪⎧
0.70
is the strain in reinforcing steel at ultimate and yielding respectively.Mode of failure should be g
procedure presented in this paper involves selecting a given neutral axis depth (c) and a failure mode (i.e. selecting ε c = ε cu or ε f = ε fe); calculating the strain level in each material
strain compatibility; calculating the associated stress level in each material from its strain relationship; and checking internal force equilibrium. If the internal force
resultants do not equilibrate, the depth to the neutral axis is revised and
Whitney stress block approach (ACI 318 1999) can be used as given when concrete crushing controls failure. When FRP rupture or concrete delamination controls failure an
linear stress-strain relationship should be usea rectangular stress block appropriate for holding particular level of strain in concrete should be used. Equation 4 and 5 gives parameters for such stress block (see Figure 6) (Todeschini et
Design Overview for RC Members Strengthened Using Near Surface Mounted FRP Composites
IJCIET/index.asp
4. FLEXURAL DESIGN
Ultimate internal strain and stress distribution for rectangular sections.
Figure 6 illustrates calculation guidance for flexural strengthening effect for rectangular itudinal FRP reinforcement mounted onto tension face of RC
member. Following assumptions are used in designa plane section before loading remains plane after loading
Tensile strength is neglected for concrete and its maximum usable compressive strain is 0
FRP reinforcement has a linear elastic behaviour upto failure
Perfect bond exists between FRP reinforcements and surrounding concreteStrength reduction approach follows
with low ductility is compensated with a higher reserve for strength. This high reserve of strength is achieved by applying a factor of 0.70 to brittle elements and 0.90 to ductile elements. The strength reduction factor (ϕ) to be used is given by equation 3(ACI 440 2008).
⎧ 0.90
70 + 0.20(ε
0.0050.70
is the strain in reinforcing steel at ultimate and yielding respectively.Mode of failure should be governed to arrive at nominal strength. The trial and error
procedure presented in this paper involves selecting a given neutral axis depth (c) and a failure mode (i.e. selecting ε c = ε cu or ε f = ε fe); calculating the strain level in each material
strain compatibility; calculating the associated stress level in each material from its strain relationship; and checking internal force equilibrium. If the internal force
resultants do not equilibrate, the depth to the neutral axis is revised and
Whitney stress block approach (ACI 318 1999) can be used as given when concrete crushing controls failure. When FRP rupture or concrete delamination controls failure an
strain relationship should be usea rectangular stress block appropriate for holding particular level of strain in concrete should be used. Equation 4 and 5 gives parameters for such stress block (see Figure 6) (Todeschini et
β = 2 −4
Design Overview for RC Members Strengthened Using Near Surface Mounted FRP Composites
asp 377
Ultimate internal strain and stress distribution for rectangular sections.
Figure 6 illustrates calculation guidance for flexural strengthening effect for rectangular itudinal FRP reinforcement mounted onto tension face of RC
member. Following assumptions are used in design a plane section before loading remains plane after loading
Tensile strength is neglected for concrete and its maximum usable compressive strain is 0
FRP reinforcement has a linear elastic behaviour upto failure
Perfect bond exists between FRP reinforcements and surrounding concreteStrength reduction approach follows the philosophy of ACI 318(1999).,
with a higher reserve for strength. This high reserve of strength is achieved by applying a factor of 0.70 to brittle elements and 0.90 to ductile
ϕ) to be used is given by equation 3(ACI 440 2008). for
ε − ε )005 − ε
for
70 foris the strain in reinforcing steel at ultimate and yielding respectively.
overned to arrive at nominal strength. The trial and error procedure presented in this paper involves selecting a given neutral axis depth (c) and a failure mode (i.e. selecting ε c = ε cu or ε f = ε fe); calculating the strain level in each material
strain compatibility; calculating the associated stress level in each material from its strain relationship; and checking internal force equilibrium. If the internal force
resultants do not equilibrate, the depth to the neutral axis is revised and
Whitney stress block approach (ACI 318 1999) can be used as given when concrete crushing controls failure. When FRP rupture or concrete delamination controls failure an
strain relationship should be usea rectangular stress block appropriate for holding particular level of strain in concrete should be used. Equation 4 and 5 gives parameters for such stress block (see Figure 6) (Todeschini et
4 − tan
In
Design Overview for RC Members Strengthened Using Near Surface Mounted FRP Composites
Ultimate internal strain and stress distribution for rectangular sections.
Figure 6 illustrates calculation guidance for flexural strengthening effect for rectangular itudinal FRP reinforcement mounted onto tension face of RC
a plane section before loading remains plane after loading
Tensile strength is neglected for concrete and its maximum usable compressive strain is 0
FRP reinforcement has a linear elastic behaviour upto failure
Perfect bond exists between FRP reinforcements and surrounding concretethe philosophy of ACI 318(1999).,
with a higher reserve for strength. This high reserve of strength is achieved by applying a factor of 0.70 to brittle elements and 0.90 to ductile
ϕ) to be used is given by equation 3(ACI 440 2008).for ε ≥ 0.005
for ε < ε
for ε ≤ εis the strain in reinforcing steel at ultimate and yielding respectively.
overned to arrive at nominal strength. The trial and error procedure presented in this paper involves selecting a given neutral axis depth (c) and a failure mode (i.e. selecting ε c = ε cu or ε f = ε fe); calculating the strain level in each material
strain compatibility; calculating the associated stress level in each material from its strain relationship; and checking internal force equilibrium. If the internal force
resultants do not equilibrate, the depth to the neutral axis is revised and
Whitney stress block approach (ACI 318 1999) can be used as given when concrete crushing controls failure. When FRP rupture or concrete delamination controls failure an
strain relationship should be used to determine resultant stress or a rectangular stress block appropriate for holding particular level of strain in concrete should be used. Equation 4 and 5 gives parameters for such stress block (see Figure 6) (Todeschini et
tan
1 +
Design Overview for RC Members Strengthened Using Near Surface Mounted FRP Composites
Ultimate internal strain and stress distribution for rectangular sections.
Figure 6 illustrates calculation guidance for flexural strengthening effect for rectangular itudinal FRP reinforcement mounted onto tension face of RC
Tensile strength is neglected for concrete and its maximum usable compressive strain is 0
Perfect bond exists between FRP reinforcements and surrounding concretethe philosophy of ACI 318(1999).,
with a higher reserve for strength. This high reserve of strength is achieved by applying a factor of 0.70 to brittle elements and 0.90 to ductile
ϕ) to be used is given by equation 3(ACI 440 2008).005
ε < 0.005
is the strain in reinforcing steel at ultimate and yielding respectively.overned to arrive at nominal strength. The trial and error
procedure presented in this paper involves selecting a given neutral axis depth (c) and a failure mode (i.e. selecting ε c = ε cu or ε f = ε fe); calculating the strain level in each material
strain compatibility; calculating the associated stress level in each material from its strain relationship; and checking internal force equilibrium. If the internal force
resultants do not equilibrate, the depth to the neutral axis is revised and
Whitney stress block approach (ACI 318 1999) can be used as given when concrete crushing controls failure. When FRP rupture or concrete delamination controls failure an
d to determine resultant stress or a rectangular stress block appropriate for holding particular level of strain in concrete should be used. Equation 4 and 5 gives parameters for such stress block (see Figure 6) (Todeschini et
Design Overview for RC Members Strengthened Using Near Surface Mounted FRP Composites
Ultimate internal strain and stress distribution for rectangular sections.
Figure 6 illustrates calculation guidance for flexural strengthening effect for rectangular itudinal FRP reinforcement mounted onto tension face of RC
Tensile strength is neglected for concrete and its maximum usable compressive strain is 0
Perfect bond exists between FRP reinforcements and surrounding concrete the philosophy of ACI 318(1999)., where a member
with a higher reserve for strength. This high reserve of strength is achieved by applying a factor of 0.70 to brittle elements and 0.90 to ductile
ϕ) to be used is given by equation 3(ACI 440 2008).
005
is the strain in reinforcing steel at ultimate and yielding respectively.overned to arrive at nominal strength. The trial and error
procedure presented in this paper involves selecting a given neutral axis depth (c) and a failure mode (i.e. selecting ε c = ε cu or ε f = ε fe); calculating the strain level in each material
strain compatibility; calculating the associated stress level in each material from its strain relationship; and checking internal force equilibrium. If the internal force
resultants do not equilibrate, the depth to the neutral axis is revised and the procedure
Whitney stress block approach (ACI 318 1999) can be used as given when concrete crushing controls failure. When FRP rupture or concrete delamination controls failure an
d to determine resultant stress or a rectangular stress block appropriate for holding particular level of strain in concrete should be used. Equation 4 and 5 gives parameters for such stress block (see Figure 6) (Todeschini et
Design Overview for RC Members Strengthened Using Near Surface Mounted FRP Composites
Figure 6 illustrates calculation guidance for flexural strengthening effect for rectangular itudinal FRP reinforcement mounted onto tension face of RC
Tensile strength is neglected for concrete and its maximum usable compressive strain is 0.03
where a member with a higher reserve for strength. This high reserve of
strength is achieved by applying a factor of 0.70 to brittle elements and 0.90 to ductile ϕ) to be used is given by equation 3(ACI 440 2008).
is the strain in reinforcing steel at ultimate and yielding respectively. overned to arrive at nominal strength. The trial and error
procedure presented in this paper involves selecting a given neutral axis depth (c) and a failure mode (i.e. selecting ε c = ε cu or ε f = ε fe); calculating the strain level in each material
strain compatibility; calculating the associated stress level in each material from its strain relationship; and checking internal force equilibrium. If the internal force
the procedure
Whitney stress block approach (ACI 318 1999) can be used as given when concrete crushing controls failure. When FRP rupture or concrete delamination controls failure an
d to determine resultant stress or a rectangular stress block appropriate for holding particular level of strain in concrete should be used. Equation 4 and 5 gives parameters for such stress block (see Figure 6) (Todeschini et
Aditya N. Contractor and Dr. Sandip A. Vasanwala
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γ =.
(4)
Where, ε 1.71 (5)
tan (ε |ε ) Is computed in radians. The ultimate effective strain (ε ) to be used for FRP reinforcement is given as following.
ε = κ ε (6) Where κ is bond dependent coefficient meant to limit strain in FRP reinforcement in
order to prevent delamination or debonding. Crack formation is the primary reason for debonding or delamination. The end points of strengthening system which represent singular points can be vulnerable to debonding. The main failure modes tested in laboratory set-up are splitting of epoxy cover, cracking of concrete surrounding bar and pull-out of FRP bar. Experiments (De Lorenzis and Nanni 2002) show that κ is affected by surface properties of FRP bars, properties of epoxy paste, groove size and concrete tensile strength. Experimental value of κ ranges from 0.60 to 0.84. Future research should be directed towards generating more accurate method for predicting appropriate bond dependant factor. A value of κm=0.70 has been selected in the design example given in ACI 440(2008). This value is consistent with both experimental data (De Lorenzis and Nanni 2002) and the approach followed by ACI 440 (2008) when defining an equivalent strain reduction factor for externally bonded FRP laminates.
Nominal tension strain attained in concrete surrounding FRP bars can be expressed as
ε , = ε ≤ ε + ε (7)
Where d represents depth of FRP reinforcements as shown in Figure 6. Initial strain ε in equation 7 can be evaluated using elastic analysis of the existing
member considering all loads are present at the time of FRP installation. When concrete crushing controls failure first term ε of the equation should be used and when FRP is controlling the failure mode, the second term ε + ε should be used.
The moment capacity of the strengthened member assuming no compression in steel reinforcement can be calculated using equation 8.
M = A f d − + Ψ A f d − (8)
An additional reduction factor Ψ of 0.85 is recommended to take account for the novelty of FRP data and is not based on test data (ACI 440 2008). f and f are taken from equation 9.
f = E ε < f f = E ε , ≤ E ε (9)
5. SHEAR DESIGN For externally bonded FRP laminates the method to calculate nominal shear capacity of strengthened member using NSM bars is similar to that used in ACI 440(2008). The design approach here deviates from the standard equations. Equation 10 is applicable for NSM systems and the same strength reduction factor φ =0.85 suggested by ACI 318 is used. An additional reduction factor ψ f = 0.85 is applied to the contribution of NSM FRP reinforcement to the shear strength of the member, as previously suggested for flexural design.
Design Overview for RC Members Strengthened Using Near Surface Mounted FRP Composites
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ϕv = ϕ(v + v + Ψ v ) (10) Groove dimensions, substrate material quality, FRP rebar type and quality of bond
influence NSM FRP bars contribution to shear capacity (v ). Strain from bond-controlled failure and maximum strain threshold of 0.004 should be taken into consideration while calculating shear capacity (De Lorenzis and Nanni 2001a). Strain threshold is responsible for maintaining shear integrity of concrete (Khalifa et al. 1998) and avoiding shear cracks which compromises aggregate interlock mechanism.
Slope of the shear crack is assumed to be at 45degrees. It is also assumed that bond stress is constant along the effective length of FRP bar at ultimate. The shear strength provided by the NSM reinforcement can be determined by calculating the force resulting from the tensile stress in the FRP bars across the assumed crack, and it is expressed by Equation 11 for circular and rectangular bars respectively.
V = 2πd τ L ∘ Circular bars v ( ) ∘ Rectangular bars (11) where db is the nominal FRP bar diameter, a and b represent the cross-sectional dimension
for rectangular FRP bar, and τ b represents the average bond stress of the bars crossed by a shear crack. Ltot can be expressed as Ltot = ∑i Li. Here Li represents length of each single NSM bar crossed by a 45degree shear crack expressed as following.
L = ∝ ∝ i ≤ l . i = 1 …
lnet −∝ ∝
i ≤ l . i = + 1 … n
(12)
Here α is the slope of FRP bar with respect to longitudinal axis of member. s is the FRP bar spacing. lnet represents net length of FRP bar to account for cracking of concrete cover and installation tolerance as shown in Figure 8. lnet is given by equation 13.
l = l − (13)
Where lb is actual length of FRP bar and c is clear concrete cover of internal longitudinal reinforcement. It is to be noted that c does not necessarily need to be considered as clear concrete cover; Figure9 shows a T-shaped cross section where c represents a term to account for the development length of FRP bars.
The first limitation in Equation 12 takes into consideration bond as the controlling failure mechanism, and represents the minimum effective length of a FRP bar crossed by a shear crack. It is expressed by ⋅ or l − ⋅ depending on the value assumed by the term n.
n = ( ) (14)
Here n is taken as the smallest integer (e.g. n = 32/3 = 10.7 => n = 10), and leff represents the vertical length of lnet written as follows:
l = l sin α − 2c (15) Spacing of FRP shear reinforcement should not exceed lnet/2, or 600 mm (24 in).
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The second limitation in equation 12, llimiting at 0.004 the maximum strain in FRP reinforcondition, ( Arectangular bars, respectively:
Where ETo prevent crushing of concrete, the total reinforcement contribution taken as the sum of
both steel and FRP reinforcement, should be limited based on the criteria given for steel alone in ACI 318, as suggested in Equation 17 for US and SI customary, respectively.
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Figure 7
Figure 8
Figure 9
The second limitation in equation 12, llimiting at 0.004 the maximum strain in FRP reinforcondition, ( Ab(0.004Erectangular bars, respectively:
Where Ef represents Young’s modulus of FRP bars.To prevent crushing of concrete, the total reinforcement contribution taken as the sum of
both steel and FRP reinforcement, should be limited based on the criteria given for steel alone CI 318, as suggested in Equation 17 for US and SI customary, respectively.
Aditya N. Contractor and Dr. Sandip A. Vasanwala
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Figure 7 Representation of bar lengths as used for shear capacity computation.
Figure 8 Relationship betwee
Figure 9 Shear strengthening of T
The second limitation in equation 12, llimiting at 0.004 the maximum strain in FRP reinfor
(0.004Ef)= πdrectangular bars, respectively:
l . =
represents Young’s modulus of FRP bars.To prevent crushing of concrete, the total reinforcement contribution taken as the sum of
both steel and FRP reinforcement, should be limited based on the criteria given for steel alone CI 318, as suggested in Equation 17 for US and SI customary, respectively.
V + V
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Representation of bar lengths as used for shear capacity computation.
Relationship betwee
Shear strengthening of T
The second limitation in equation 12, llimiting at 0.004 the maximum strain in FRP reinfor
)= πdbl0.004τb), l0.004
rectangular bars, respectively: l .
= 0.002 ⋅
represents Young’s modulus of FRP bars.To prevent crushing of concrete, the total reinforcement contribution taken as the sum of
both steel and FRP reinforcement, should be limited based on the criteria given for steel alone CI 318, as suggested in Equation 17 for US and SI customary, respectively.
≤8 f bd
0.66 f
Aditya N. Contractor and Dr. Sandip A. Vasanwala
asp 380
Representation of bar lengths as used for shear capacity computation.
Relationship between and length of the NSM bar
Shear strengthening of T-shaped concrete cross
The second limitation in equation 12, l0.004 accounts for shear integrity of concrete by limiting at 0.004 the maximum strain in FRP reinfor
0.004 can be determined as follows for circular and = 0.001
represents Young’s modulus of FRP bars.To prevent crushing of concrete, the total reinforcement contribution taken as the sum of
both steel and FRP reinforcement, should be limited based on the criteria given for steel alone CI 318, as suggested in Equation 17 for US and SI customary, respectively.
bdf bd
Aditya N. Contractor and Dr. Sandip A. Vasanwala
Representation of bar lengths as used for shear capacity computation.
and length of the NSM bar
shaped concrete cross
accounts for shear integrity of concrete by limiting at 0.004 the maximum strain in FRP reinforcement. From the force equilibrium
can be determined as follows for circular and
Rectangular bars
represents Young’s modulus of FRP bars. To prevent crushing of concrete, the total reinforcement contribution taken as the sum of
both steel and FRP reinforcement, should be limited based on the criteria given for steel alone CI 318, as suggested in Equation 17 for US and SI customary, respectively.
Aditya N. Contractor and Dr. Sandip A. Vasanwala
Representation of bar lengths as used for shear capacity computation.
and length of the NSM bar
shaped concrete cross-section.
accounts for shear integrity of concrete by cement. From the force equilibrium
can be determined as follows for circular and Circular bars
ngular bars
To prevent crushing of concrete, the total reinforcement contribution taken as the sum of both steel and FRP reinforcement, should be limited based on the criteria given for steel alone
CI 318, as suggested in Equation 17 for US and SI customary, respectively.
Representation of bar lengths as used for shear capacity computation.
and length of the NSM bar
section.
accounts for shear integrity of concrete by cement. From the force equilibrium
can be determined as follows for circular and Circular bars
(16)
To prevent crushing of concrete, the total reinforcement contribution taken as the sum of both steel and FRP reinforcement, should be limited based on the criteria given for steel alone
CI 318, as suggested in Equation 17 for US and SI customary, respectively.
(17)
accounts for shear integrity of concrete by cement. From the force equilibrium
can be determined as follows for circular and
(16)
To prevent crushing of concrete, the total reinforcement contribution taken as the sum of both steel and FRP reinforcement, should be limited based on the criteria given for steel alone
(17)
Design Overview for RC Members Strengthened Using Near Surface Mounted FRP Composites
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6. DETAILINGMinimum dimension of grooves should be kept at least 1.5 times the diameter of FRP bar. The limit may locase, minimum groove size of 3.0a × 1.5b could be suggested (Figure 10) where a is the smallest bar dimension. In other cases, minimum groove dimension could be the result of installation requirements rather than engimaximum dimensions of groove. Tests have been conducted using the abovementioned dimensions. When epoxy paste controls failure De Lorenzi and Nanni in 2002 proposed that increasing groove size will increafailure. FRP reinforcement and concrete share similar bond properties with steel reinforcement. In addition, these bond properties also show dependence on FRP type, elastic modulus, surface defUppuluri et al. 1996; Gao et al. 1998. When NSM CFRP rectangular bars are used for strengthening RC beams Hassan and Rizakalla in 2002 found that the development length is highly dependentsteel reinforcement ratio, reinforcement configuration, and type of loading. They also suggested that by increasing the internal steel reinforcement ratio, development length increases and decreases with increase of either concrete compressive and/or groove size.
Figure 11 shows the equilibrium condition of a FRP bar with an embedded length equal to its development length, lthe surface of the bar. Assuming a triangular stress distribution (Ibell and Valerio 2002), the average bond stress can be expressed as τ
Via equilibrium following equations can be derived for circular and rectangular bars respectively.
Design Overview for RC Members Strengthened Using Near Surface Mounted FRP Composites
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6. DETAILINGMinimum dimension of grooves should be kept at least 1.5 times the diameter of FRP bar. The limit may loose significance when rectangular bar wicase, minimum groove size of 3.0a × 1.5b could be suggested (Figure 10) where a is the smallest bar dimension. In other cases, minimum groove dimension could be the result of installation requirements rather than engimaximum dimensions of groove. Tests have been conducted using the abovementioned dimensions. When epoxy paste controls failure De Lorenzi and Nanni in 2002 proposed that increasing groove size will increafailure. FRP reinforcement and concrete share similar bond properties with steel reinforcement. In addition, these bond properties also show dependence on FRP type, elastic modulus, surface defUppuluri et al. 1996; Gao et al. 1998. When NSM CFRP rectangular bars are used for strengthening RC beams Hassan and Rizakalla in 2002 found that the development length is highly dependent on strip dimensions, groove size, concrete and adhesive properties, internal steel reinforcement ratio, reinforcement configuration, and type of loading. They also suggested that by increasing the internal steel reinforcement ratio, development length
reases and decreases with increase of either concrete compressive and/or groove size. Figure 11 shows the equilibrium condition of a FRP bar with an embedded length equal to
its development length, lthe surface of the bar. Assuming a triangular stress distribution (Ibell and Valerio 2002), the average bond stress can be expressed as τ
Via equilibrium following equations can be derived for circular and rectangular bars respectively.
Design Overview for RC Members Strengthened Using Near Surface Mounted FRP Composites
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6. DETAILING Minimum dimension of grooves should be kept at least 1.5 times the diameter of FRP bar.
se significance when rectangular bar wicase, minimum groove size of 3.0a × 1.5b could be suggested (Figure 10) where a is the smallest bar dimension. In other cases, minimum groove dimension could be the result of installation requirements rather than engimaximum dimensions of groove. Tests have been conducted using the abovementioned dimensions. When epoxy paste controls failure De Lorenzi and Nanni in 2002 proposed that increasing groove size will increafailure. FRP reinforcement and concrete share similar bond properties with steel reinforcement. In addition, these bond properties also show dependence on FRP type, elastic modulus, surface deformation and shape of FRP bar as studied by AlUppuluri et al. 1996; Gao et al. 1998. When NSM CFRP rectangular bars are used for strengthening RC beams Hassan and Rizakalla in 2002 found that the development length is
on strip dimensions, groove size, concrete and adhesive properties, internal steel reinforcement ratio, reinforcement configuration, and type of loading. They also suggested that by increasing the internal steel reinforcement ratio, development length
reases and decreases with increase of either concrete compressive and/or groove size. Figure 11 shows the equilibrium condition of a FRP bar with an embedded length equal to
its development length, ld. The force in the bar is resisted by the shear stressethe surface of the bar. Assuming a triangular stress distribution (Ibell and Valerio 2002), the average bond stress can be expressed as τ
Figure 10
Figure 11
Via equilibrium following equations can be derived for circular and rectangular bars
Design Overview for RC Members Strengthened Using Near Surface Mounted FRP Composites
IJCIET/index.asp
Minimum dimension of grooves should be kept at least 1.5 times the diameter of FRP bar. se significance when rectangular bar wi
case, minimum groove size of 3.0a × 1.5b could be suggested (Figure 10) where a is the smallest bar dimension. In other cases, minimum groove dimension could be the result of installation requirements rather than engimaximum dimensions of groove. Tests have been conducted using the abovementioned dimensions. When epoxy paste controls failure De Lorenzi and Nanni in 2002 proposed that increasing groove size will increase bond strength. The effect is not visible in case of pullout failure. FRP reinforcement and concrete share similar bond properties with steel reinforcement. In addition, these bond properties also show dependence on FRP type, elastic
ormation and shape of FRP bar as studied by AlUppuluri et al. 1996; Gao et al. 1998. When NSM CFRP rectangular bars are used for strengthening RC beams Hassan and Rizakalla in 2002 found that the development length is
on strip dimensions, groove size, concrete and adhesive properties, internal steel reinforcement ratio, reinforcement configuration, and type of loading. They also suggested that by increasing the internal steel reinforcement ratio, development length
reases and decreases with increase of either concrete compressive and/or groove size. Figure 11 shows the equilibrium condition of a FRP bar with an embedded length equal to
. The force in the bar is resisted by the shear stressethe surface of the bar. Assuming a triangular stress distribution (Ibell and Valerio 2002), the average bond stress can be expressed as τ
Figure 10 Minimum dimension of the grooves.
Figure 11 Transfer of force in an FRP
Via equilibrium following equations can be derived for circular and rectangular bars
l ( .
Design Overview for RC Members Strengthened Using Near Surface Mounted FRP Composites
asp 381
Minimum dimension of grooves should be kept at least 1.5 times the diameter of FRP bar. se significance when rectangular bar wi
case, minimum groove size of 3.0a × 1.5b could be suggested (Figure 10) where a is the smallest bar dimension. In other cases, minimum groove dimension could be the result of installation requirements rather than engineering. At the moment, there is dearth of data for maximum dimensions of groove. Tests have been conducted using the abovementioned dimensions. When epoxy paste controls failure De Lorenzi and Nanni in 2002 proposed that
se bond strength. The effect is not visible in case of pullout failure. FRP reinforcement and concrete share similar bond properties with steel reinforcement. In addition, these bond properties also show dependence on FRP type, elastic
ormation and shape of FRP bar as studied by AlUppuluri et al. 1996; Gao et al. 1998. When NSM CFRP rectangular bars are used for strengthening RC beams Hassan and Rizakalla in 2002 found that the development length is
on strip dimensions, groove size, concrete and adhesive properties, internal steel reinforcement ratio, reinforcement configuration, and type of loading. They also suggested that by increasing the internal steel reinforcement ratio, development length
reases and decreases with increase of either concrete compressive and/or groove size. Figure 11 shows the equilibrium condition of a FRP bar with an embedded length equal to
. The force in the bar is resisted by the shear stressethe surface of the bar. Assuming a triangular stress distribution (Ibell and Valerio 2002), the average bond stress can be expressed as τ b = 0.5 τ max
Minimum dimension of the grooves.
Transfer of force in an FRP
Via equilibrium following equations can be derived for circular and rectangular bars
)
Design Overview for RC Members Strengthened Using Near Surface Mounted FRP Composites
Minimum dimension of grooves should be kept at least 1.5 times the diameter of FRP bar. se significance when rectangular bar with large aspect ratio is used. In that
case, minimum groove size of 3.0a × 1.5b could be suggested (Figure 10) where a is the smallest bar dimension. In other cases, minimum groove dimension could be the result of
neering. At the moment, there is dearth of data for maximum dimensions of groove. Tests have been conducted using the abovementioned dimensions. When epoxy paste controls failure De Lorenzi and Nanni in 2002 proposed that
se bond strength. The effect is not visible in case of pullout failure. FRP reinforcement and concrete share similar bond properties with steel reinforcement. In addition, these bond properties also show dependence on FRP type, elastic
ormation and shape of FRP bar as studied by AlUppuluri et al. 1996; Gao et al. 1998. When NSM CFRP rectangular bars are used for strengthening RC beams Hassan and Rizakalla in 2002 found that the development length is
on strip dimensions, groove size, concrete and adhesive properties, internal steel reinforcement ratio, reinforcement configuration, and type of loading. They also suggested that by increasing the internal steel reinforcement ratio, development length
reases and decreases with increase of either concrete compressive and/or groove size. Figure 11 shows the equilibrium condition of a FRP bar with an embedded length equal to
. The force in the bar is resisted by the shear stressethe surface of the bar. Assuming a triangular stress distribution (Ibell and Valerio 2002), the
max.
Minimum dimension of the grooves.
Transfer of force in an FRP bar.
Via equilibrium following equations can be derived for circular and rectangular bars
Design Overview for RC Members Strengthened Using Near Surface Mounted FRP Composites
Minimum dimension of grooves should be kept at least 1.5 times the diameter of FRP bar. th large aspect ratio is used. In that
case, minimum groove size of 3.0a × 1.5b could be suggested (Figure 10) where a is the smallest bar dimension. In other cases, minimum groove dimension could be the result of
neering. At the moment, there is dearth of data for maximum dimensions of groove. Tests have been conducted using the abovementioned dimensions. When epoxy paste controls failure De Lorenzi and Nanni in 2002 proposed that
se bond strength. The effect is not visible in case of pullout failure. FRP reinforcement and concrete share similar bond properties with steel reinforcement. In addition, these bond properties also show dependence on FRP type, elastic
ormation and shape of FRP bar as studied by Al-Zahrani et al. 1996; Uppuluri et al. 1996; Gao et al. 1998. When NSM CFRP rectangular bars are used for strengthening RC beams Hassan and Rizakalla in 2002 found that the development length is
on strip dimensions, groove size, concrete and adhesive properties, internal steel reinforcement ratio, reinforcement configuration, and type of loading. They also suggested that by increasing the internal steel reinforcement ratio, development length
reases and decreases with increase of either concrete compressive and/or groove size. Figure 11 shows the equilibrium condition of a FRP bar with an embedded length equal to
. The force in the bar is resisted by the shear stressethe surface of the bar. Assuming a triangular stress distribution (Ibell and Valerio 2002), the
Minimum dimension of the grooves.
bar.
Via equilibrium following equations can be derived for circular and rectangular bars
Design Overview for RC Members Strengthened Using Near Surface Mounted FRP Composites
Minimum dimension of grooves should be kept at least 1.5 times the diameter of FRP bar. th large aspect ratio is used. In that
case, minimum groove size of 3.0a × 1.5b could be suggested (Figure 10) where a is the smallest bar dimension. In other cases, minimum groove dimension could be the result of
neering. At the moment, there is dearth of data for maximum dimensions of groove. Tests have been conducted using the abovementioned dimensions. When epoxy paste controls failure De Lorenzi and Nanni in 2002 proposed that
se bond strength. The effect is not visible in case of pullout failure. FRP reinforcement and concrete share similar bond properties with steel reinforcement. In addition, these bond properties also show dependence on FRP type, elastic
Zahrani et al. 1996; Uppuluri et al. 1996; Gao et al. 1998. When NSM CFRP rectangular bars are used for strengthening RC beams Hassan and Rizakalla in 2002 found that the development length is
on strip dimensions, groove size, concrete and adhesive properties, internal steel reinforcement ratio, reinforcement configuration, and type of loading. They also suggested that by increasing the internal steel reinforcement ratio, development length
reases and decreases with increase of either concrete compressive and/or groove size. Figure 11 shows the equilibrium condition of a FRP bar with an embedded length equal to
. The force in the bar is resisted by the shear stresses τ b acting on the surface of the bar. Assuming a triangular stress distribution (Ibell and Valerio 2002), the
Via equilibrium following equations can be derived for circular and rectangular bars
Design Overview for RC Members Strengthened Using Near Surface Mounted FRP Composites
Minimum dimension of grooves should be kept at least 1.5 times the diameter of FRP bar. th large aspect ratio is used. In that
case, minimum groove size of 3.0a × 1.5b could be suggested (Figure 10) where a is the smallest bar dimension. In other cases, minimum groove dimension could be the result of
neering. At the moment, there is dearth of data for maximum dimensions of groove. Tests have been conducted using the abovementioned dimensions. When epoxy paste controls failure De Lorenzi and Nanni in 2002 proposed that
se bond strength. The effect is not visible in case of pullout failure. FRP reinforcement and concrete share similar bond properties with steel reinforcement. In addition, these bond properties also show dependence on FRP type, elastic
Zahrani et al. 1996; Uppuluri et al. 1996; Gao et al. 1998. When NSM CFRP rectangular bars are used for strengthening RC beams Hassan and Rizakalla in 2002 found that the development length is
on strip dimensions, groove size, concrete and adhesive properties, internal steel reinforcement ratio, reinforcement configuration, and type of loading. They also suggested that by increasing the internal steel reinforcement ratio, development length
reases and decreases with increase of either concrete compressive and/or groove size. Figure 11 shows the equilibrium condition of a FRP bar with an embedded length equal to
acting on the surface of the bar. Assuming a triangular stress distribution (Ibell and Valerio 2002), the
Via equilibrium following equations can be derived for circular and rectangular bars
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l ∗( )( . )
(18)
Hassan and Rizkalla (2002) suggested an expression for τmax when concrete crushing is the controlling failure mode. When the controlling failure mode is not known, a conservative value of τmax=3.5 MPa (0.50 ksi) is suggested.
7. CONCLUSIONS An overview of flexural and shear design of RC members strengthened with NSM FRP has been presented in this paper. The proposed procedure reflects the framework used in the two guides published by ACI (ACI 440.2R-08, 2008, and ACI 440.1R-06, 2006) with adjustment coming from experimental evidences. Near surface mounted reinforcement is a technique used globally for about half a century to enhance flexural capacity of existing RC and masonry structures. Future research should be directed to understand properties and quality of bond between FRP bars, bars, paste and concrete. Focus should be on understanding the effects of groove size especially when rectangular bars are used. Studies to understand shear strengthening of NSM bars are sure to prove a great boon.
REFERENCES [1] ACI Committee 318 (1999). Building Code Requirements for Structural Concrete (ACI
318-99) and Commentary (ACI 318R-2008), American Concrete Institute, Farmington Hills, Michigan, 391 pp.
[2] ACI Committee 440 (2008). Guide for the Design and Construction of Externally Bonded FRP Systems for Strengthening Concrete Structures (ACI 440.2R-08), American Concrete Institute, Farmington Hills, Michigan, 45 pp.
[3] ACI Committee 440 (2006). Guide for the Design and Construction of Concrete Reinforced with FRP Bars (ACI 440.1R-06), American Concrete Institute, Farmington Hills, Michigan, 42 pp.
[4] Alkhrdaji, T., Nanni, A., Chen, G. and Barker, M. (1999). “Upgrading the transportation infrastructure: solid RC decks strengthened with FRP”, Concrete International, American Concrete Institute, Vol. 21, No. 10, pp. 37-41.
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