2. Strengthening and rehabilitation of reinforced concrete beams with opening
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Subhajit Mondal, J.N. Bandyapadhya Chandra Pal Gautam
10
by FRP can induce shear failure . Furthermore, shear strengthening of beams can change the
5
mode of failure .
Unfortunately only a limited number of investigations have been carried out in the past to
establish the efficiency of GFRP sheet on strengthening and retrofitting of beams with
openings. Carbon fiber reinforced polymer (CFRP) strengthening of beams with small
1
opening at shear zone can change their mode of failure .
In this research GFRP sheets are used in the opening zone of beams to strengthen and
rehabilitation. The aim of the study is to investigate the effect of opening on the load carrying
capacity, deflection behavior of beams with different size of opening, strain distribution in
the vicinity of opening, strengthened the beam opening and the efficiency of FRP to
increased the shear capacity of damaged beams with openings. After the investigation it is
found that GRFP can increase the carrying capacity effectively for small openings only and it
is unable to increase the carrying capacity effectively for large openings.
This paper will guide the user to use GFRP in a beam with opening and it will give the idea
of importance of GFRP used for the rehabilitation of damaged beam. Results of this
experiment may guide to formulate the design guide lines of beams with openings and
strengthen and rehabilitated beams.
2 Experimental program
2.1 Experimental Set up
Figure 1: Experimental Set up
Figure 2: Reinforcement Details
The experimental program consists of ten beams of which one beam is solid having no
opening and the other nine beams are divided into three groups having three beams in each
group. The sizes of the opening are 100 mm width x 100 mm in the first group of three beams,
200 mm x 100 mm in the second group of three beams and 300 mm x 100 mm in the third
group of three beams. OB1, OB2 and OB3 are the first beam each of the three groups with
opening and without any GFRP layer. The three beams SB1, SB2 and SB3 are the second
beam of each of the three groups with opening and strengthened with isotropic GFRP
lamination at the opening zone. Similarly, RB1, RB2 and RB3 are the third beam of each of
the three groups with opening and rehabilitated with GFRP lamination at the opening zone
after they develop initial crack in the absence of GFRP lamination. The letters O, S and R
represent beams with openings, strengthened beams and rehabilitated beams respectively,
while the numbers 1, 2 and 3 indicate the width of opening 100, 200 and 300 mm,
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3. Strengthening and rehabilitation of reinforced concrete beams with opening
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Subhajit Mondal, J.N. Bandyapadhya Chandra Pal Gautam
respectively. The height of each opening is fixed at 100 mm. The opening is provided in the
shear zone at a distance of 200 mm from the support. The reference solid beam without
opening is designated as RSB and has no number in the suffix. All ten beams are subjected to
two point loads at an increment of 1 tone applied at a distance of one third of the span from
the two supports.
2.2 Materials properties
The concrete mix used for all the beams is designed for a M30 with a water cement ratio of
0.37. Main reinforcing bars of Fe 415 of dia. 8 mm at top and 12 mm at bottom are used.
Rectangular closed stirrups of 6 mm mild steel bars although except in the opening zone,
where ‘U’ shape stirrups are used. Glass fiber reinforced polymer of thickness 0.32 mm is
used for strengthening the beams. Epoxy adhesive is used to attach the GFRP to the beam
surface. The resin is a 9:1 mixture of Araldite CY 230 and hardener HY 951. Average cross
sectional dimension of FRP along with epoxy is 0.94 x 26. 92 mm. The property of FRP and
Epoxy are presented in Table 1. Properties of GFRP are determined as per ASTM guidelines.
Figure 3: Typical Load versus Deflection plot of FRP Sample
Table 1: Properties of Material
Material
Young Max.
Modulus Load
(MPa)
(N)
GFRP
3310
1834
Epoxy
1242
4075
Tensile
stress at
Yield
(MPa)
Tensile
Strain (%)
63.23
2.62
1.09
3. Experimental Results and Discussion
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4. Strengthening and rehabilitation of reinforced concrete beams with opening
,
Subhajit Mondal, J.N. Bandyapadhya Chandra Pal Gautam
Available experimental data shows that shear failure of FRP strengthened beams are
generally by two modes: first mode FRP ruptures and second mode debonding of FRP from
concrete surface. Sidebonded FRP strips fails in second mode only and also most of the
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beams with FRP Ujackets fails in second mode . Some beams strengthened by U jacketing
4
failed due to FRP rapture . Beams with FRP wrapping shows the failure in FRP only. To
avoid the debonding and premature failure of beams, FRP are wrapped around the opening
keeping at least 80 mm from the opening side.
Table 2: Presentation of Test Result
Beam
RSB
OB1
OB2
OB3
SB1
SB2
SB3
RB1
RB2
RB3
Opening
Size
(W x H)
(mm)
100 x 100
200 x 100
300 x 100
100 x 100
200 x 100
300 x 100
100 x 100
200 x 100
300 x 100
Concrete
Strength
(MPa)
Initial
Crack
load (kN)
Ultimate
load
(kN)
44
42
42
39
45
40
41
43
42
43
86
64
62
40
62
59
60
40
61
60
156
104
96
95
126
104
98
120
105
92
Table 3: Change in Strength and Mode of Failure
Beam
Ri
(%)
Ru
(%)
RSB
OB1
25
33
OB2
28
38
OB3
53
39
SB1
29
19
SB2
31
33
SB3
30
37
RB1
53
23
RB2
29
32
RB3
30
41
Strength of beams with openings:
Gu
Ru Ri
Mode
of failure
7
10
14
8
2
7
30
3
10
Flexural
Shear
Shear
Shear
Shear
Shear
Shear
Shear
Shear
Shear
(%)
21
4
3
15
9
3
As shown in the Figure 5, the strength and stiffness both reduced in the beams with openings.
The ultimate loads of beams with openings and solid beam are evaluated to find out the
influence of opening at the shear zone. It can be seen that reduction in ultimate load (Ru)
increased as the opening size increase and vary to 6 percent as we increase opening size for
three times. For the initial crack load the variation is 28% as we increase the opening for
three times. The Figure 4(a), 4(b) and 4 (c) shows the ultimate failure pattern of solid beam
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6. Strengthening and rehabilitation of reinforced concrete beams with opening
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Subhajit Mondal, J.N. Bandyapadhya Chandra Pal Gautam
show much effectiveness. All the three strengthened beams fails due failure at shear. The
Single layer GFRP increased the load carrying capacity but it is not effective to change the
failure pattern. Table 3, indicates the failure pattern of solid beam and beam with opening.
The Figure 4(d) and 4(e) shows failure pattern of strengthened beam.
Figure 6: Load versus Deflection at Central Point of Beam
Strength of rehabilitated beam
As mentioned earlier the three strengthened beams are wrapped with FRP layer before
applying any load on them. The respective loads at initial crack and ultimate failure load (Wi
and Wu ) as obtained from the experimental investigation are furnished in Table 2 and table 3.
The gain in strength of strengthened beam is calculated as [(strength of strengthened beams
with openings – strength of beams with same opening without FRP layer) / (strength of beam
with opening without FRP layer.)]. Figure 7 shows the load versus deflection of rehabilitated
beam.
It is seen that Ri and Ru are progressively increasing except for the Ri value of SB3, such a
trend of monotonic increase of both Ri and Ru values indicates the increasing influence of
opening size of three beams. It is conjectured that human error of noting the value of Wi in
case of SB3 is the main reason of deviation from the normal trend.
It is worth mentioning that all the three beams have the initial crack at the flexural zone
though they fail in shear ultimately. The increasing value of (Ru Ri) from 8.7 to 6.95
indicates the effect of opening prominently. While at the smallest opening this value is
negative indicating lower value of Ru than the corresponding value of Ri . Further the lower
value of Ru of SB1 is due to the value of ultimate strength of SB1 closed to that of solid
beam. This shows the effectiveness of wrapping in case of small opening.
The effect of wrapping as observed from the calculated Gu values are seen to be the
maximum of 21.15% for the SB1 having smallest opening size. The gain abruptly decreases
to 4.16% and 3.15% respectively for SB2 and SB3 clearly reflecting the influence of bigger
opening in such gains.
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7. Strengthening and rehabilitation of reinforced concrete beams with opening
,
Subhajit Mondal, J.N. Bandyapadhya Chandra Pal Gautam
Figure 7: Load versus Deflection at Central Point of Beam
Deflection Pattern of Beams with Openings
Figure 8, shows a typical deflection curve of all three beams with openings. It is observed
that solid beam (SB) undergoes less deformation than beams with openings (OB1, OB2 and
OB3) as shown in Figure 5. The deflections of beams OB1, OB2 and OB3 are more both near
the opening and at the mid span.
A comparative study of the location of maximum deflection of the solid beam and beams
with openings shows that location of the maximum deflection of beams with openings shifts
from the mid span (location of maximum deflection of the solid beam) to a point which is in
between centre of the beam and centre of opening. The beam with FRP wrapping shows more
deflection at middle point than those at other two points. This indicates that due to FRP
wrapping, flexural stiffness and the shear resistance of beams with openings increase.
Figure 8: Typical Deflection of Beam with Opening
Ultimate load versus opening size
Figure 9, shows the ultimate load with increasing opening of the three category of beams viz.,
beams with openings only, strengtehned beams and rehabilitated beams.It is observed that
solid beam carried an ultimate load of 156 kN. While all the beams carry arounnd 100 kN for
the opening size of 200 mm to 300 mm. For opening upto 100 m strengthened beam caries
maximum load of 126 kN followed by rehabilitated beams (120 kN) and finally beams with
100 opening nearly 100 kN.
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8. Strengthening and rehabilitation of reinforced concrete beams with opening
,
Subhajit Mondal, J.N. Bandyapadhya Chandra Pal Gautam
Figure 9: Variation of Ultimate Load with Opening Width
Failure of Beams
In these experimental investigation four types of beams are tested viz. solid beam, beams
with openings, strengthened beams and rehabilitated beams. It is worth mentioning that the
reference solid beam fails in flexure where as other three types of beams have shear failure in
all the cases. Figure 4 presents the failure patterns of OB1, OB2, SB1 and SB3 respectively.
The OB2 beam develops diagonal cracks at the top and bottom corners around the opening.
With the propagation of these cracks the beam finally fails in shear (Figure 4(c)). In case of
strengthened beams diagonal cracks also developed in the top and bottom corners around the
opening though the beams are wrapped with FRP layer. This FRP layer have a confining
effect which helps to increase the failure load to some extent however this beams also
displays debonding of FRP layer leading to their tearing along the diagonal cracks and
beams finally fails in shear.
Contribution of GFRP in Shear Strengthening
Existing research on beam with opening show that shear force carried by the bottom chord Vb
(Kennedy et al. (1992))
Ab I b
V
b
=
V
Ab I b + At I t
Where
= Crosssectional areas of bottom and top chords.
= bw x hb
Atw = bw x ht,
Moments of inertia of top and bottom chords, about centroidal axes
respectively. V= Total shear force,
=Shear force at bottom chord and top chord
Now shear force carried by top chord will be Vt , where
Vt = V Vb
Now for strengthened and rehabilitated beam the shear force carried by GFRP Vgfrp, where
Vgfrp = Total shear force – (Vb + Vt)).
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9. Strengthening and rehabilitation of reinforced concrete beams with opening
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Subhajit Mondal, J.N. Bandyapadhya Chandra Pal Gautam
Therefore, this experiment may lead to calculate the shear capacity of the beam and to
understand the contribution of GFRP to strengthened and rehabilitated the beam with opening.
From this investigation it is found that GFRP contributes significantly for in shear
strengthening for beam with small opening only for both cases strengthen and rehabilitated.
Efficiency of GFRP for rehabilitated is less than strengthened beam.
4. Conclusion
The following conclusions are derived on the basis of testing of one solid beam and three
beams with one opening in the shear zone.
(i) FRP wrapping around the opening of the beams with 200 and 300 opening width,
shows initial cracks in flexural zone instead of cracks near the opening.
(ii) FRP can be used to strengthen and rehabilitate the beams with small opening only.
(iii)FRP does not show the same efficiency for strengthened and rehabilitated beams.
(iv)Beams with FRP wrapping displays debonding of FRP layer leading to their tearing
along the diagonal cracks.
(v) The reduction in initial crack load (Ri) is much influenced with size of opening.
(vi) Reductions in ultimate load carrying capacity (Ru) are not much influenced with the
size of the opening in a range in between 200 mm and 300 mm.
(vii)
Beams with larger opening the failure are governed by the opening size. FRP does
not increase the ultimate load carrying capacity of these beams.
(viii) The beams with openings only shows the maximum deflection at a point which is
in between the middle point of beam and middle point of opening instead of
maximum deflection at central point of solid beam.
(ix)An unstrengthened beam with100 mm opening width and with a height of 0.38 the
beam depth reduce the beam capacity by 33%.
(x) An unstrengthened beam opening with 100 mm opening height and with a width of
0.15 the beam length reduces the beam capacity by 39%.
Further a large number of researches are required to understand the FPP strengthening
technique for beam with large opening, rehabilitation of beam using FRP and also to
understand their failure mechanism.
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10. Strengthening and rehabilitation of reinforced concrete beams with opening
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Subhajit Mondal, J.N. Bandyapadhya Chandra Pal Gautam
Acknowledgement
This study was conducted at Structural Engineering Laboratory, Department of Civil
Engineering, Indian Institute of Technology, Kharagpur (India) and I would like to thank the
members in the laboratory for providing assistance in specimen fabrication and testing.
5. References
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against cracking at opening in reinforced concrete beams strengthened with composite
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externally bonded side CFRP strips.” Journal of Composite Construction, 2(2), pp 111 113.
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Standards, New Delhi.
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8. J.G. Teng, J.F. Cher, S.T. Smith, FRP – strengthened RC structure by Lam Publishers John
Wiley and Sons, Ltd.
9. Kennedy, J.B. and Abdalla, H.A., (1992) “Static response of prestressed girders with
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12. Teng, J. G, Lam, L. and Chen, J. F.,(2004) ”Shear strengthening of RC beams with FRP
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