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International Refereed Journal of Engineering and Science (IRJES)
ISSN (Online) 2319-183X, (Print) 2319-1821
Volume 2, Issue 4(April 2013), PP.40-49
www.irjes.com
www.irjes.com 40 | Page
Investigating the Use of Swimmer Bars as Shear Reinforcement in
Reinforced Concrete Beams
1
Moayyad M. Al-Nasra, 2
Naem M. Asha, 2
AbdulQader S. Najmi
1
Department of Engineering Technology, West Virginia University,
Institute of Technology, Montgomery, WV 25136
2
Department of Civil Engineering, University of Jordan, Amman, Jordan
ABSTRACT: The behavior of reinforced concrete beams at failure by shear is distinctly different from their
behavior by bending, which is considered to be unsafe mode of failure. The shear failure of beams is usually sudden
without sufficient advanced warning, and the diagonal cracks that develop due to excess shear forces are
considerably wider than the flexural cracks. The cost and safety of shear reinforcement in reinforced concrete
beams led to the study of other alternatives. Swimmer bar system is a new type of shear reinforcement. It is a small
inclined bars, with its both ends bent horizontally for a short distance and welded to both top and bottom flexural
steel reinforcement. Regardless of the number of swimmer bars used in each inclined plane, the swimmer bars form
plane-crack interceptor system instead of bar-crack interceptor system when stirrups are used. Test results of
several reinforced concrete beams will be presented. The effectiveness of the new swimmer bar system as related to
the old stirrup system will be discussed. Beam deflection is also targeted experimentally in the lab. Several
deflection measurements were taken to study the effect of using new swimmer bar system on deflection. Also the
crack width of the tested reinforced concrete beams was monitored.
Keywords: Simmer bar, Deflection, Beam, Crack, Stirrup
I. INTRODUCTION
Beams carry loads primarily by internal moments and shears. In the design of a reinforced concrete
member, flexure is usually considered first, leading to the size of the section and the arrangement of reinforcement
to provide the necessary resistance for moments. Limits are placed on the amounts of flexural reinforcement to
ensure ductile type of failure. Beams are then designed for shear. Since shear failure is frequently sudden with little
or no advanced warning, the design for shear must ensure that the shear strength for every member in the structure
exceeds the flexural strength. The shear failure mechanism varies depending upon the cross-sectional dimensions,
the geometry, the types of loading, and the properties of the member.
Reinforced concrete (RC) beams are important structural elements that transmit the loads from slabs, to
columns. Beams must have an adequate safety margin against bending and shear forces, so that it will perform
effectively during its service life. At the ultimate limit state, the combined effects of bending and shear may exceed
the resistance capacity of the beam causing tensile cracks. The shear failure is difficult to predict accurately despite
extensive experimental research.
Shear failures in beams are caused by the diagonal cracks near the support providing no shear
reinforcement. Beams fail immediately upon formation of critical cracks in the high-shear region near the beam
supports. Whenever the value of actual shear stress exceeds the permissible shear stress of the concrete used, the
shear reinforcement must be provided. The purpose of shear reinforcement is to prevent failure in shear, and to
increase beam ductility and subsequently the likelihood of sudden failure will be reduced.
Normally, the inclined shear cracks start at the middle height of the beam near support at approximately 450
and extend toward the compression zone. Any form of effectively anchored reinforcement that intersects these
diagonal cracks will be able to resist the shear force to a certain extent. In practice, shear reinforcement is provided
in three forms; stirrups, inclined bent-up bars and combination system of stirrups and bent-up bars.
In building construction, stirrups are most commonly used as shear reinforcement, for their simplicity in
fabrication and installation. Normally, spacing between stirrups is reduced to resist high shear stress. Congestion
near the support of RC beams due to the presence of the closely spaced stirrups increase the cost and time required
for installation.
Investigating the Use of Swimmer Bars as Shear Reinforcement in Reinforced Concrete Beams
www.irjes.com 41 | Page
The use of bent-up bars along with stirrups had been used in the past. In case where all the tensile
reinforcement is not needed to resist bending moment, some of the tensile bars where bent-up in the region of high
shear to form the inclined legs of shear reinforcement. For example, beams provided with 4 bars of main tensile
reinforcement, 2 bars may be bent diagonally in shear region and used as shear reinforcement, while the other 2 bars
will be left straight up to the support. The use of bent-up bars is not preferred nowadays. Due to difficulties in
construction, bent-up bars are rarely used. In beams with small number of bars provided, the bent-up bar system is
not suitable due to insufficient amount of straight bars left to be extended to the support as required by the code of
practice.
In this study, several reinforced concrete beams were tested using new shear reinforcement swimmer bar
system. Beams with traditional stirrups as shear reinforcement were also tested in order to study the effectiveness of
the new swimmer bar system. These beams are used as reference beams. In this investigation, all of the beams are
supposed to fail solely in shear, so adequate amount of tension reinforcement were provided to give sufficient
bending moment strength. This study aims at investigating a new approach of design of shear reinforcement through
the use of swimmer bars provided in the high shear region. The main advantages of this type of shear reinforcement
system are: flexibility, simplicity, efficiency, and speed of construction.
Piyamahant (2002) showed that the existing reinforced concrete structures should have stirrup
reinforcement equal to the minimum requirement specified the code. The theoretical analysis shows that the amount
of stirrup of 0.2% is appropriate. The paper concluded that small amount of web reinforcement is sufficient to
improve the shear carrying capacity. The study focused on the applicability of the superposition method that used
in predicting shear carrying capacity of reinforced concrete beam with a small amount of web reinforcement at the
shear span ratio of 3. Also the failure mechanisms were considered when small amount of stirrup used.
Sneed, and Julio (2008) discussed the results of experimental research performed to test the hypothesis that
the effective depth does not influence the shear strength of reinforced concrete flexural members that do not contain
web reinforcement. The results of eight simply supported reinforced concrete beam tests without shear and skin
reinforcement were investigated. The beams were designed such that the effective depth is the variable while the
values of other traditionally-considered parameters proven to influence the shear strength (such as the compressive
strength of concrete, longitudinal reinforcement ratio, shear span-to-depth ratio, and maximum aggregate size) were
held constant. The values selected for the parameters held constant were chosen in an attempt to minimize the
concrete shear strength.
Noor (2005) presented several results of experimental investigation on six reinforced concrete beams in
which their structural behavior in shear was studied. The research conducted was about the use of additional
horizontal and independent bent- up bars to increase the beam resistance against shear forces. The main objectives
of that study were studying the effectiveness of adding horizontal bars on shear strength in rectangular beams, the
effectiveness of shear reinforcement, and determining the optimum amount of both types of shear reinforcement to
achieve a shear capacity similar to that of a normal links system. From experimental investigation of the system it
was found that, the use of independent horizontal and bent-up bars as shear reinforcement were stronger than
conventional shear reinforcement system.
II. SWIMMER BARS
A swimmer bar is a small inclined bar, with its both ends bent horizontally for a short distance, welded at
the top and the bottom of the longitudinal bars as shown in Fig. 1-3. There are three major standard shapes; single
swimmers, rectangular shape, and rectangular shape with cross bracings. Several additions to these standard shapes
can be explored, such as addition of horizontal stiffener bars in the rectangular shapes, dividing the large rectangle
horizontally into smaller rectangles. Additional swimmer bars can also be used. By adding one more swimmer bar to
the rectangular shape, the large rectangular shape will be divided vertically into two rectangles. Addition of two
more swimmer bars will divide the large rectangle vertically into four small rectangles. A combination of horizontal
bars and additional swimmer bars may also be explored. This swimmer bar system is integrated fully with the
longitudinal steel bars. Several options of the swimmer bar systems are used in order to improve the shear
performance of the reinforced concrete beams, reduce the amount of cracks, reduce the width and the length of
cracks and reduce overall beam deflection. Different bar diameters can be used in order to add stiffness to the steel
cage, and increase shear strength of the reinforced concrete beam.
Investigating the Use of Swimmer Bars as Shear Reinforcement in Reinforced Concrete Beams
www.irjes.com 42 | Page
Figure 1: Single swimmer bar system
Figure 2: Rectangular swimmer bar system.
Figure 3: Rectangular swimmer bar system with cross bracings.
Investigating the Use of Swimmer Bars as Shear Reinforcement in Reinforced Concrete Beams
www.irjes.com 43 | Page
III. ACI CODE PROVISION FOR SHEAR DESIGN
According to the ACI Code, the design of beams for shear is to be based on the following relation:
𝑉𝑒 ≀ ø𝑉𝑛 1
Where: Vu is the total shear force applied at a given section of the beam due to factored loads and Vn = Vc + Vs is the
nominal shear strength, equal to the sum of the contribution of the concrete and the web steel if present. Thus for
vertical stirrups
𝑉𝑒 ≀ ø𝑉𝑐 +
ø𝐴 𝑣ƒ 𝑦𝑑
𝑑
𝑠
2
and for inclined bars
𝑉𝑒 ≀ ø𝑉𝑐 +
ø𝐴 𝑣 Ζ’ 𝑦𝑑 𝑑 sin 𝛼+cos 𝛼
𝑠
3
Where: AΚ‹ is the area of one stirrup, Ξ± is the angle of the stirrup with the horizontal, and S is the stirrup spacing.
The nominal shear strength contribution of the concrete (including the contributions from aggregate
interlock, dowel action of the main reinforcing bars, and that of the un-cracked concrete) can be simplified as shown
in Eq. 4.
𝑉c = 0.17πœ† Ζ’ 𝑐
β€²
𝑏w 𝑑 4
Where: bw and d are the section dimensions, and for normal weight concrete, Ξ» = 1.0. This simplified formula is
permitted by the ACI code expressed in metric units.
IV. SUGGESTED METHOD OF DESIGNING SWIMMER BARS
The analysis of needed shear reinforcement using swimmer bar system is based on the truss analogy
concept. If S1 is the swimmer bar spacing in a single truss analogy, n is the number of bars, and As is the area of
steel of a single swimmer bar, then.
𝑆1 = 𝑛𝐴𝑠 (5)
and
𝑇𝑠
𝑆1
=
𝑇𝑠
𝑛𝑠
=
𝑉𝑠
𝑠𝑖𝑛𝛼
1
𝑑 βˆ’ 𝑑′ cot 𝛽 + cot 𝛼
6
Where: Ts is the tension force in the bent bar, s is the spacing of the swimmer bars, Ξ± is angle between the tension
force and the horizontal in the triangular truss and Ξ² is the angle between the simulated concrete strut and the
horizontal in the triangular truss. If there are n swimmers bars within the s1 length of the analogous truss chord, and
if Av is the area of steel of one swimmer bar, then
𝑇𝑠 = 𝑛𝐴 𝑣ƒ 𝑦𝑑
(7)
Where: Ζ’yt = strength of transverse reinforcement and
𝑛𝐴 𝑣 =
𝑉𝑠 𝑛𝑠
𝑑 βˆ’ 𝑑′ 𝑠𝑖𝑛𝛼 π‘π‘œπ‘‘π›½ + π‘π‘œπ‘‘π›Ό Ζ’ 𝑦𝑑
(8)
In the case of diagonal tension failure, the compression diagonal makes an angle Ξ² = 45ΒΊ
with the horizontal, thus
Eq. 6 becomes
𝑉𝑠 =
𝐴 𝑣ƒ 𝑦𝑑
𝑑 βˆ’ 𝑑′
𝑠
𝑠𝑖𝑛𝛼 1 + π‘π‘œπ‘‘π›Ό (9)
Which can be simplified as
𝑉𝑠 =
𝐴 𝑣ƒ 𝑦𝑑
𝑑 βˆ’ 𝑑′
𝑠
𝑠𝑖𝑛𝛼 + π‘π‘œπ‘ π›Ό (10)
Which is similar to those used by ACI code.
𝑉𝑛 = 𝑉𝑠 + 𝑉𝑐 (11)
Investigating the Use of Swimmer Bars as Shear Reinforcement in Reinforced Concrete Beams
www.irjes.com 44 | Page
V. TESTED BEAMS
Six reinforced concrete beams were prepared for the test, B1 through B6. All of the same dimension 2000
mm length, 200 mm width and 250 mm depth. The effective length was also kept at constant value of 1800 mm.
These beams were designed with 3ΓΈ14 mm top steel and 4ΓΈ16 mm bottom steel reinforcement. Reference beam B1
was designed with 10ΓΈ8 mm at 600 mm spacing vertical stirrup at either side. Table 1 shows details of the shear
reinforcement of each beam, and Fig. 4 shows details of the steel reinforcement for the beam B2. The Beams B3,
and B4 is similar but the swimmer bars are of 12 mm and 10 mm in diameter respectively. Beam B5 uses cross
bracing of 8 mm in diameter, and the swimmer bars are at a larger spacing of 275 mm compared to the spacing of
137.5 mm used in the beam B2. The beam B6 does not use any cross bracings, and the swimmer bars are spaced at
275 mm similar to the beam B5.
The compressive strength of concrete is measured according to ASTM C 192-57. Fifteen concrete samples
were prepared. The compressive strength of concrete is measured at the 28th
day. The concrete compressive strength
results range between 34.9 N/mm2
to 37.2 N.mm2
.
Table 1: Shear reinforcement of beams used in this study.
Beam
No.
Shear Reinforcement
Stirrups Swimmer
bar-system
Total Weight of Steel
Cage
(N)
B1 8ΓΈ8 @ 550 mm - 257.0
B2 - Single swimmer ΓΈ14 @137.5
mm
263.0
B3 - Single swimmer ΓΈ12 @ 137.5
mm
255.0
B4 - Single swimmer ΓΈ10 @ 137.5
mm
243.0
B5 - Two swimmer with cross ΓΈ 8
@ 275 mm
240.0
B6 -
Two swimmer
ΓΈ8 @ 275 mm
230.0
Investigating the Use of Swimmer Bars as Shear Reinforcement in Reinforced Concrete Beams
www.irjes.com 45 | Page
Figure 4: Details of beam B2.
VI. TEST PROCEDURE
Prior to testing, the surface of the specimens was painted with white emulsion to make it easy to detect and
follow cracks in the concrete beam. At age 28 days, the reinforced concrete beams were prepared for testing. Lines
locating the positions of point loads, supports and the middle of each beam were marked. Beams were placed in the
testing frame that uses hydraulic jacks. The test was carried out with the specimen placed horizontally in a simple
loading arrangement. The beams were supported by solid round steel on their two edges as simply supported
member. The effective length of each beam was kept at1800 mm measured from the center of each support. All the
beams were designed to ensure that the beams will only fail in shear rather than in flexure.
To ensure that shear cracks will occur near the support, two point loads were applied symmetrically to the
beam with av less than 2.5d. In this testing, av β‰ˆ 550 mm, where av is shear span (the distance from the point of the
applied load to the support), and d is the effective depth of a beam.
A loading jack was placed at the mid-span position above the beam. The load was applied by jacking the
beam against the rig base member at a constant rate until the ultimate load capacity of the beam was reached. A
universal column section was used to transfer the load to the beam at two point loads via transfer girder. A
reasonable time interval was allowed in between 20.0 kN load increments for measuring deflections, marking
cracks, measuring the shear reinforcement strain and recording the ultimate load. Each beam took about two hours to
complete the test.
Investigating the Use of Swimmer Bars as Shear Reinforcement in Reinforced Concrete Beams
www.irjes.com 46 | Page
VII. BEHAVIOR OF BEAMS UNDER LOADS
The first beam designated as B1 is used as a reference beam where traditional stirrups were used as shear
reinforcement and no swimmer bars. Loading started at 30 kN, where hair cracks appeared in the bottom face
between the two applied loads. When loading reached 60 kN hair cracks appeared at the right side of the beam. At
the load of 200 kN shear cracks increased in width and length. Finally, shear failure occurred at the load of 260 kN.
The beam designated as B2 showed some hair cracks at the load of 140 kN. When the load reached 180kN more
hair cracks appeared at the moment region, then by raising the loads up to 220 kN shear cracks appeared at right side
of the beam. Finally, shear failure occurred at 310 kN as shown in Fig. 5. Similarly, beams B3, B4, B5, and B6
were studied during the test.
Figure 5: Beam B2, shear failure at the load of 310 kN.
Table 2 shows a summary of the test results. Beams B2, and B3 showed a substantial improvement in the
load carrying capacity due to the use of swimmer bar system compared with the traditional stirrup system. With
minor change in the amount of steel reinforcement these two beams improved the shear strength by 19.23% and
17.31% respectively and with respect to the reference beam B1. The beam B4 exhibited a substantial improvement
in shear strength performance of approximately 10% compared to the reference beam B1, but with less total steel
reinforcement of about 5% and substantial decrease in shear reinforcement. The load deflection behavior of this
beam is similar to the reference beam B1.
The beams B5, and B6 used much less total steel reinforcement compared to the reference beam B1 of
6.62% and 10.51% respectively. In these beams 8 mm diameter swimmer bars were used at large spacing of 275 mm
Investigating the Use of Swimmer Bars as Shear Reinforcement in Reinforced Concrete Beams
www.irjes.com 47 | Page
that reduced the amount of steel shear reinforcement substantially. This kind of shear reinforcement is recommended
in case of very congested steel reinforced beams, where shear failure is not of a concern.
Table 2: Test result summary
No. Ultimate Load
(kN)
at Failure
Wt of Steel Cage
(N)
%Increase./
Decrease
in Steel Gage Weight
Wt w.r.t β€˜B1’
%Increase/
Decrease
in Strength
w.r.t β€˜B1’
B1 260 257 0.00 0.00
B2 310 263 2.33 19.23
B3 305 255 -0.78 17.31
B4 285 243 -5.45 9.62
B5 240 240 -6.62 -7.69
B6 220 230 -10.51 -15.38
VIII. BEAM DEFLECTION
As can be noticed from Fig. 6, all beams exhibited the same load deflection behavior up the load of 140 kN
and deflection of about 4.5 mm, where substantial cracks were observed. At this stage, the beams showed similar
stiffness, but beyond this stage, beams started to show different behavior due different shear reinforcement. Beams
B2 and B3 showed higher resistance to deflection compared to the reference beam B1, the beam which was
reinforced by regular stirrups as shear reinforcement. The swimmer bars used in these two beams added stiffness to
the steel cage used. Beam B4 showed similar behavior to the reference beam but at a higher load carrying capacity.
Beams B5 and B6 showed less rigidity compared to the reference beam B1 when loaded by two-point loads due to
substantial reduction in steel shear reinforcement used in these two beam.
Investigating the Use of Swimmer Bars as Shear Reinforcement in Reinforced Concrete Beams
www.irjes.com 48 | Page
0
2
4
6
8
10
12
14
16
020406080100120140160180200210220230240250260280290310
Deflection(mm)
Applied Load, kN
CenterBeam Deflection
beam B1
beam B2
beam B3
beam B4
beam B5
beam B6
Figure 6: Central measured beam deflection of all tested beams, B1 - B6.
Investigating the Use of Swimmer Bars as Shear Reinforcement in Reinforced Concrete Beams
www.irjes.com 49 | Page
IX. CONCLUSIONS
Experimental test results showed substantial improvement in the shear performance of the reinforced
concrete beams by using the new swimmer bars system in comparison with the traditional stirrup system. The beam
deflection is also reduced along with the number and width of cracks in the tested beams under progressive applied
loads. The new swimmer bar system can be at a great advantage over the traditional stirrup system when used in
congested reinforced concrete beams.
REFERENCES
[1] ACI 318-11, 2011. Building Code Requirements for Structural Concrete Commentary.
http://www.concrete.org/pubs/newpubs/31811.htm
[2] 2. Edward G.Nawy, 2009. Reinforced Concrete: A Fundamental Approach, Prentice Hall International, US, PP 120-315, ISBN
0132417030, 9780132417037
[3] Al-Nasra, M., and Abdel-Halim, M., 1991, Analysis of Factors Affecting Bond Strength, International Journal of Structures, Vol. 11
No.1, PP. 25-36
[4] Al-Nasra, M.M., and Wang, L.R.L., 1994, Parametric Study of Slab-On-Grade Problems: Due to Initial Warping and Point Loads. ACI
Structural Journal, Vol. 91 No. 2.
[5] http://www.concrete.org/PUBS/JOURNALS/OLJDetails.asp?Home=SJ&ID=4596
[6] T. Abu-lebdeh, S. Hamoush, W. Coi, and M. Al Nasra, 2011. High Rate-Dependent Interaction Diagrams for Reinforced Concrete
Columns American Journal of Engineering and Applied Science, Vol. 4, Issue 1, PP 1-9, 2011,
[7] DOI: 10.3844/ajeassp.2011.1.9
[8] Abu-Lebdeh, T., S.A. Hamoush, W. Heard, and B. Zornig, 2010. Effect of matrix strength on pullout behavior of steel fiber reinforced
very high strength concrete composites”, Construction and Building Materials Journal,
[9] Piyamahant, (2002) , Shear behavior of reinforced concrete beams with small amount of web reinforcement, M. Eng. Dissertation, Kochi
University of Technology, Japan
[10] Lesley H. Sneed and Julio A. 2008, Effect of Depth on the Shear Strength of Concrete Beams without Shear Reinforcement, USA
Portland and cement Association. http://www.cement.org/exec2/11-03-08.htm
[11] Noor Hamid (2005). The Use of Horizontal and Inclined Bars as Shear Reinforcement , Master Thesis, University of Technology ,
Malaysia, http://sunzi.lib.hku.hk/hkuto/record/B26643352.
[12] Hamoush, S.A., T. Abu-Lebdeh, and T. Cummins, 2010, Deflection behavior of Concrete Beams Reinforced with PVA Micro-Fibers,
Const. and Building Materials 24 (2010) 2285–2293,DOI: 0.1016/j.conbuildmat.2010.04.027

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International Refereed Journal of Engineering and Science (IRJES)

  • 1. International Refereed Journal of Engineering and Science (IRJES) ISSN (Online) 2319-183X, (Print) 2319-1821 Volume 2, Issue 4(April 2013), PP.40-49 www.irjes.com www.irjes.com 40 | Page Investigating the Use of Swimmer Bars as Shear Reinforcement in Reinforced Concrete Beams 1 Moayyad M. Al-Nasra, 2 Naem M. Asha, 2 AbdulQader S. Najmi 1 Department of Engineering Technology, West Virginia University, Institute of Technology, Montgomery, WV 25136 2 Department of Civil Engineering, University of Jordan, Amman, Jordan ABSTRACT: The behavior of reinforced concrete beams at failure by shear is distinctly different from their behavior by bending, which is considered to be unsafe mode of failure. The shear failure of beams is usually sudden without sufficient advanced warning, and the diagonal cracks that develop due to excess shear forces are considerably wider than the flexural cracks. The cost and safety of shear reinforcement in reinforced concrete beams led to the study of other alternatives. Swimmer bar system is a new type of shear reinforcement. It is a small inclined bars, with its both ends bent horizontally for a short distance and welded to both top and bottom flexural steel reinforcement. Regardless of the number of swimmer bars used in each inclined plane, the swimmer bars form plane-crack interceptor system instead of bar-crack interceptor system when stirrups are used. Test results of several reinforced concrete beams will be presented. The effectiveness of the new swimmer bar system as related to the old stirrup system will be discussed. Beam deflection is also targeted experimentally in the lab. Several deflection measurements were taken to study the effect of using new swimmer bar system on deflection. Also the crack width of the tested reinforced concrete beams was monitored. Keywords: Simmer bar, Deflection, Beam, Crack, Stirrup I. INTRODUCTION Beams carry loads primarily by internal moments and shears. In the design of a reinforced concrete member, flexure is usually considered first, leading to the size of the section and the arrangement of reinforcement to provide the necessary resistance for moments. Limits are placed on the amounts of flexural reinforcement to ensure ductile type of failure. Beams are then designed for shear. Since shear failure is frequently sudden with little or no advanced warning, the design for shear must ensure that the shear strength for every member in the structure exceeds the flexural strength. The shear failure mechanism varies depending upon the cross-sectional dimensions, the geometry, the types of loading, and the properties of the member. Reinforced concrete (RC) beams are important structural elements that transmit the loads from slabs, to columns. Beams must have an adequate safety margin against bending and shear forces, so that it will perform effectively during its service life. At the ultimate limit state, the combined effects of bending and shear may exceed the resistance capacity of the beam causing tensile cracks. The shear failure is difficult to predict accurately despite extensive experimental research. Shear failures in beams are caused by the diagonal cracks near the support providing no shear reinforcement. Beams fail immediately upon formation of critical cracks in the high-shear region near the beam supports. Whenever the value of actual shear stress exceeds the permissible shear stress of the concrete used, the shear reinforcement must be provided. The purpose of shear reinforcement is to prevent failure in shear, and to increase beam ductility and subsequently the likelihood of sudden failure will be reduced. Normally, the inclined shear cracks start at the middle height of the beam near support at approximately 450 and extend toward the compression zone. Any form of effectively anchored reinforcement that intersects these diagonal cracks will be able to resist the shear force to a certain extent. In practice, shear reinforcement is provided in three forms; stirrups, inclined bent-up bars and combination system of stirrups and bent-up bars. In building construction, stirrups are most commonly used as shear reinforcement, for their simplicity in fabrication and installation. Normally, spacing between stirrups is reduced to resist high shear stress. Congestion near the support of RC beams due to the presence of the closely spaced stirrups increase the cost and time required for installation.
  • 2. Investigating the Use of Swimmer Bars as Shear Reinforcement in Reinforced Concrete Beams www.irjes.com 41 | Page The use of bent-up bars along with stirrups had been used in the past. In case where all the tensile reinforcement is not needed to resist bending moment, some of the tensile bars where bent-up in the region of high shear to form the inclined legs of shear reinforcement. For example, beams provided with 4 bars of main tensile reinforcement, 2 bars may be bent diagonally in shear region and used as shear reinforcement, while the other 2 bars will be left straight up to the support. The use of bent-up bars is not preferred nowadays. Due to difficulties in construction, bent-up bars are rarely used. In beams with small number of bars provided, the bent-up bar system is not suitable due to insufficient amount of straight bars left to be extended to the support as required by the code of practice. In this study, several reinforced concrete beams were tested using new shear reinforcement swimmer bar system. Beams with traditional stirrups as shear reinforcement were also tested in order to study the effectiveness of the new swimmer bar system. These beams are used as reference beams. In this investigation, all of the beams are supposed to fail solely in shear, so adequate amount of tension reinforcement were provided to give sufficient bending moment strength. This study aims at investigating a new approach of design of shear reinforcement through the use of swimmer bars provided in the high shear region. The main advantages of this type of shear reinforcement system are: flexibility, simplicity, efficiency, and speed of construction. Piyamahant (2002) showed that the existing reinforced concrete structures should have stirrup reinforcement equal to the minimum requirement specified the code. The theoretical analysis shows that the amount of stirrup of 0.2% is appropriate. The paper concluded that small amount of web reinforcement is sufficient to improve the shear carrying capacity. The study focused on the applicability of the superposition method that used in predicting shear carrying capacity of reinforced concrete beam with a small amount of web reinforcement at the shear span ratio of 3. Also the failure mechanisms were considered when small amount of stirrup used. Sneed, and Julio (2008) discussed the results of experimental research performed to test the hypothesis that the effective depth does not influence the shear strength of reinforced concrete flexural members that do not contain web reinforcement. The results of eight simply supported reinforced concrete beam tests without shear and skin reinforcement were investigated. The beams were designed such that the effective depth is the variable while the values of other traditionally-considered parameters proven to influence the shear strength (such as the compressive strength of concrete, longitudinal reinforcement ratio, shear span-to-depth ratio, and maximum aggregate size) were held constant. The values selected for the parameters held constant were chosen in an attempt to minimize the concrete shear strength. Noor (2005) presented several results of experimental investigation on six reinforced concrete beams in which their structural behavior in shear was studied. The research conducted was about the use of additional horizontal and independent bent- up bars to increase the beam resistance against shear forces. The main objectives of that study were studying the effectiveness of adding horizontal bars on shear strength in rectangular beams, the effectiveness of shear reinforcement, and determining the optimum amount of both types of shear reinforcement to achieve a shear capacity similar to that of a normal links system. From experimental investigation of the system it was found that, the use of independent horizontal and bent-up bars as shear reinforcement were stronger than conventional shear reinforcement system. II. SWIMMER BARS A swimmer bar is a small inclined bar, with its both ends bent horizontally for a short distance, welded at the top and the bottom of the longitudinal bars as shown in Fig. 1-3. There are three major standard shapes; single swimmers, rectangular shape, and rectangular shape with cross bracings. Several additions to these standard shapes can be explored, such as addition of horizontal stiffener bars in the rectangular shapes, dividing the large rectangle horizontally into smaller rectangles. Additional swimmer bars can also be used. By adding one more swimmer bar to the rectangular shape, the large rectangular shape will be divided vertically into two rectangles. Addition of two more swimmer bars will divide the large rectangle vertically into four small rectangles. A combination of horizontal bars and additional swimmer bars may also be explored. This swimmer bar system is integrated fully with the longitudinal steel bars. Several options of the swimmer bar systems are used in order to improve the shear performance of the reinforced concrete beams, reduce the amount of cracks, reduce the width and the length of cracks and reduce overall beam deflection. Different bar diameters can be used in order to add stiffness to the steel cage, and increase shear strength of the reinforced concrete beam.
  • 3. Investigating the Use of Swimmer Bars as Shear Reinforcement in Reinforced Concrete Beams www.irjes.com 42 | Page Figure 1: Single swimmer bar system Figure 2: Rectangular swimmer bar system. Figure 3: Rectangular swimmer bar system with cross bracings.
  • 4. Investigating the Use of Swimmer Bars as Shear Reinforcement in Reinforced Concrete Beams www.irjes.com 43 | Page III. ACI CODE PROVISION FOR SHEAR DESIGN According to the ACI Code, the design of beams for shear is to be based on the following relation: 𝑉𝑒 ≀ ø𝑉𝑛 1 Where: Vu is the total shear force applied at a given section of the beam due to factored loads and Vn = Vc + Vs is the nominal shear strength, equal to the sum of the contribution of the concrete and the web steel if present. Thus for vertical stirrups 𝑉𝑒 ≀ ø𝑉𝑐 + ø𝐴 𝑣ƒ 𝑦𝑑 𝑑 𝑠 2 and for inclined bars 𝑉𝑒 ≀ ø𝑉𝑐 + ø𝐴 𝑣 Ζ’ 𝑦𝑑 𝑑 sin 𝛼+cos 𝛼 𝑠 3 Where: AΚ‹ is the area of one stirrup, Ξ± is the angle of the stirrup with the horizontal, and S is the stirrup spacing. The nominal shear strength contribution of the concrete (including the contributions from aggregate interlock, dowel action of the main reinforcing bars, and that of the un-cracked concrete) can be simplified as shown in Eq. 4. 𝑉c = 0.17πœ† Ζ’ 𝑐 β€² 𝑏w 𝑑 4 Where: bw and d are the section dimensions, and for normal weight concrete, Ξ» = 1.0. This simplified formula is permitted by the ACI code expressed in metric units. IV. SUGGESTED METHOD OF DESIGNING SWIMMER BARS The analysis of needed shear reinforcement using swimmer bar system is based on the truss analogy concept. If S1 is the swimmer bar spacing in a single truss analogy, n is the number of bars, and As is the area of steel of a single swimmer bar, then. 𝑆1 = 𝑛𝐴𝑠 (5) and 𝑇𝑠 𝑆1 = 𝑇𝑠 𝑛𝑠 = 𝑉𝑠 𝑠𝑖𝑛𝛼 1 𝑑 βˆ’ 𝑑′ cot 𝛽 + cot 𝛼 6 Where: Ts is the tension force in the bent bar, s is the spacing of the swimmer bars, Ξ± is angle between the tension force and the horizontal in the triangular truss and Ξ² is the angle between the simulated concrete strut and the horizontal in the triangular truss. If there are n swimmers bars within the s1 length of the analogous truss chord, and if Av is the area of steel of one swimmer bar, then 𝑇𝑠 = 𝑛𝐴 𝑣ƒ 𝑦𝑑 (7) Where: Ζ’yt = strength of transverse reinforcement and 𝑛𝐴 𝑣 = 𝑉𝑠 𝑛𝑠 𝑑 βˆ’ 𝑑′ 𝑠𝑖𝑛𝛼 π‘π‘œπ‘‘π›½ + π‘π‘œπ‘‘π›Ό Ζ’ 𝑦𝑑 (8) In the case of diagonal tension failure, the compression diagonal makes an angle Ξ² = 45ΒΊ with the horizontal, thus Eq. 6 becomes 𝑉𝑠 = 𝐴 𝑣ƒ 𝑦𝑑 𝑑 βˆ’ 𝑑′ 𝑠 𝑠𝑖𝑛𝛼 1 + π‘π‘œπ‘‘π›Ό (9) Which can be simplified as 𝑉𝑠 = 𝐴 𝑣ƒ 𝑦𝑑 𝑑 βˆ’ 𝑑′ 𝑠 𝑠𝑖𝑛𝛼 + π‘π‘œπ‘ π›Ό (10) Which is similar to those used by ACI code. 𝑉𝑛 = 𝑉𝑠 + 𝑉𝑐 (11)
  • 5. Investigating the Use of Swimmer Bars as Shear Reinforcement in Reinforced Concrete Beams www.irjes.com 44 | Page V. TESTED BEAMS Six reinforced concrete beams were prepared for the test, B1 through B6. All of the same dimension 2000 mm length, 200 mm width and 250 mm depth. The effective length was also kept at constant value of 1800 mm. These beams were designed with 3ΓΈ14 mm top steel and 4ΓΈ16 mm bottom steel reinforcement. Reference beam B1 was designed with 10ΓΈ8 mm at 600 mm spacing vertical stirrup at either side. Table 1 shows details of the shear reinforcement of each beam, and Fig. 4 shows details of the steel reinforcement for the beam B2. The Beams B3, and B4 is similar but the swimmer bars are of 12 mm and 10 mm in diameter respectively. Beam B5 uses cross bracing of 8 mm in diameter, and the swimmer bars are at a larger spacing of 275 mm compared to the spacing of 137.5 mm used in the beam B2. The beam B6 does not use any cross bracings, and the swimmer bars are spaced at 275 mm similar to the beam B5. The compressive strength of concrete is measured according to ASTM C 192-57. Fifteen concrete samples were prepared. The compressive strength of concrete is measured at the 28th day. The concrete compressive strength results range between 34.9 N/mm2 to 37.2 N.mm2 . Table 1: Shear reinforcement of beams used in this study. Beam No. Shear Reinforcement Stirrups Swimmer bar-system Total Weight of Steel Cage (N) B1 8ΓΈ8 @ 550 mm - 257.0 B2 - Single swimmer ΓΈ14 @137.5 mm 263.0 B3 - Single swimmer ΓΈ12 @ 137.5 mm 255.0 B4 - Single swimmer ΓΈ10 @ 137.5 mm 243.0 B5 - Two swimmer with cross ΓΈ 8 @ 275 mm 240.0 B6 - Two swimmer ΓΈ8 @ 275 mm 230.0
  • 6. Investigating the Use of Swimmer Bars as Shear Reinforcement in Reinforced Concrete Beams www.irjes.com 45 | Page Figure 4: Details of beam B2. VI. TEST PROCEDURE Prior to testing, the surface of the specimens was painted with white emulsion to make it easy to detect and follow cracks in the concrete beam. At age 28 days, the reinforced concrete beams were prepared for testing. Lines locating the positions of point loads, supports and the middle of each beam were marked. Beams were placed in the testing frame that uses hydraulic jacks. The test was carried out with the specimen placed horizontally in a simple loading arrangement. The beams were supported by solid round steel on their two edges as simply supported member. The effective length of each beam was kept at1800 mm measured from the center of each support. All the beams were designed to ensure that the beams will only fail in shear rather than in flexure. To ensure that shear cracks will occur near the support, two point loads were applied symmetrically to the beam with av less than 2.5d. In this testing, av β‰ˆ 550 mm, where av is shear span (the distance from the point of the applied load to the support), and d is the effective depth of a beam. A loading jack was placed at the mid-span position above the beam. The load was applied by jacking the beam against the rig base member at a constant rate until the ultimate load capacity of the beam was reached. A universal column section was used to transfer the load to the beam at two point loads via transfer girder. A reasonable time interval was allowed in between 20.0 kN load increments for measuring deflections, marking cracks, measuring the shear reinforcement strain and recording the ultimate load. Each beam took about two hours to complete the test.
  • 7. Investigating the Use of Swimmer Bars as Shear Reinforcement in Reinforced Concrete Beams www.irjes.com 46 | Page VII. BEHAVIOR OF BEAMS UNDER LOADS The first beam designated as B1 is used as a reference beam where traditional stirrups were used as shear reinforcement and no swimmer bars. Loading started at 30 kN, where hair cracks appeared in the bottom face between the two applied loads. When loading reached 60 kN hair cracks appeared at the right side of the beam. At the load of 200 kN shear cracks increased in width and length. Finally, shear failure occurred at the load of 260 kN. The beam designated as B2 showed some hair cracks at the load of 140 kN. When the load reached 180kN more hair cracks appeared at the moment region, then by raising the loads up to 220 kN shear cracks appeared at right side of the beam. Finally, shear failure occurred at 310 kN as shown in Fig. 5. Similarly, beams B3, B4, B5, and B6 were studied during the test. Figure 5: Beam B2, shear failure at the load of 310 kN. Table 2 shows a summary of the test results. Beams B2, and B3 showed a substantial improvement in the load carrying capacity due to the use of swimmer bar system compared with the traditional stirrup system. With minor change in the amount of steel reinforcement these two beams improved the shear strength by 19.23% and 17.31% respectively and with respect to the reference beam B1. The beam B4 exhibited a substantial improvement in shear strength performance of approximately 10% compared to the reference beam B1, but with less total steel reinforcement of about 5% and substantial decrease in shear reinforcement. The load deflection behavior of this beam is similar to the reference beam B1. The beams B5, and B6 used much less total steel reinforcement compared to the reference beam B1 of 6.62% and 10.51% respectively. In these beams 8 mm diameter swimmer bars were used at large spacing of 275 mm
  • 8. Investigating the Use of Swimmer Bars as Shear Reinforcement in Reinforced Concrete Beams www.irjes.com 47 | Page that reduced the amount of steel shear reinforcement substantially. This kind of shear reinforcement is recommended in case of very congested steel reinforced beams, where shear failure is not of a concern. Table 2: Test result summary No. Ultimate Load (kN) at Failure Wt of Steel Cage (N) %Increase./ Decrease in Steel Gage Weight Wt w.r.t β€˜B1’ %Increase/ Decrease in Strength w.r.t β€˜B1’ B1 260 257 0.00 0.00 B2 310 263 2.33 19.23 B3 305 255 -0.78 17.31 B4 285 243 -5.45 9.62 B5 240 240 -6.62 -7.69 B6 220 230 -10.51 -15.38 VIII. BEAM DEFLECTION As can be noticed from Fig. 6, all beams exhibited the same load deflection behavior up the load of 140 kN and deflection of about 4.5 mm, where substantial cracks were observed. At this stage, the beams showed similar stiffness, but beyond this stage, beams started to show different behavior due different shear reinforcement. Beams B2 and B3 showed higher resistance to deflection compared to the reference beam B1, the beam which was reinforced by regular stirrups as shear reinforcement. The swimmer bars used in these two beams added stiffness to the steel cage used. Beam B4 showed similar behavior to the reference beam but at a higher load carrying capacity. Beams B5 and B6 showed less rigidity compared to the reference beam B1 when loaded by two-point loads due to substantial reduction in steel shear reinforcement used in these two beam.
  • 9. Investigating the Use of Swimmer Bars as Shear Reinforcement in Reinforced Concrete Beams www.irjes.com 48 | Page 0 2 4 6 8 10 12 14 16 020406080100120140160180200210220230240250260280290310 Deflection(mm) Applied Load, kN CenterBeam Deflection beam B1 beam B2 beam B3 beam B4 beam B5 beam B6 Figure 6: Central measured beam deflection of all tested beams, B1 - B6.
  • 10. Investigating the Use of Swimmer Bars as Shear Reinforcement in Reinforced Concrete Beams www.irjes.com 49 | Page IX. CONCLUSIONS Experimental test results showed substantial improvement in the shear performance of the reinforced concrete beams by using the new swimmer bars system in comparison with the traditional stirrup system. The beam deflection is also reduced along with the number and width of cracks in the tested beams under progressive applied loads. The new swimmer bar system can be at a great advantage over the traditional stirrup system when used in congested reinforced concrete beams. REFERENCES [1] ACI 318-11, 2011. Building Code Requirements for Structural Concrete Commentary. http://www.concrete.org/pubs/newpubs/31811.htm [2] 2. Edward G.Nawy, 2009. Reinforced Concrete: A Fundamental Approach, Prentice Hall International, US, PP 120-315, ISBN 0132417030, 9780132417037 [3] Al-Nasra, M., and Abdel-Halim, M., 1991, Analysis of Factors Affecting Bond Strength, International Journal of Structures, Vol. 11 No.1, PP. 25-36 [4] Al-Nasra, M.M., and Wang, L.R.L., 1994, Parametric Study of Slab-On-Grade Problems: Due to Initial Warping and Point Loads. ACI Structural Journal, Vol. 91 No. 2. [5] http://www.concrete.org/PUBS/JOURNALS/OLJDetails.asp?Home=SJ&ID=4596 [6] T. Abu-lebdeh, S. Hamoush, W. Coi, and M. Al Nasra, 2011. High Rate-Dependent Interaction Diagrams for Reinforced Concrete Columns American Journal of Engineering and Applied Science, Vol. 4, Issue 1, PP 1-9, 2011, [7] DOI: 10.3844/ajeassp.2011.1.9 [8] Abu-Lebdeh, T., S.A. Hamoush, W. Heard, and B. Zornig, 2010. Effect of matrix strength on pullout behavior of steel fiber reinforced very high strength concrete composites”, Construction and Building Materials Journal, [9] Piyamahant, (2002) , Shear behavior of reinforced concrete beams with small amount of web reinforcement, M. Eng. Dissertation, Kochi University of Technology, Japan [10] Lesley H. Sneed and Julio A. 2008, Effect of Depth on the Shear Strength of Concrete Beams without Shear Reinforcement, USA Portland and cement Association. http://www.cement.org/exec2/11-03-08.htm [11] Noor Hamid (2005). The Use of Horizontal and Inclined Bars as Shear Reinforcement , Master Thesis, University of Technology , Malaysia, http://sunzi.lib.hku.hk/hkuto/record/B26643352. [12] Hamoush, S.A., T. Abu-Lebdeh, and T. Cummins, 2010, Deflection behavior of Concrete Beams Reinforced with PVA Micro-Fibers, Const. and Building Materials 24 (2010) 2285–2293,DOI: 0.1016/j.conbuildmat.2010.04.027