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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1842
Stiffness of Reinforced Concrete Beams after Retrofit with External
Steel Reinforcement Method
Novita Ike Triyuliani1, Sri Murni Dewi2, Lilya Susanti3
1PG Student, Department of Civil Engineering, Brawijaya University, Malang, Jawa Timur, Indonesia
2Professor, Department of Civil Engineering, Brawijaya University, Malang, Jawa Timur, Indonesia
3Lecturer, Department of Civil Engineering, Brawijaya University, Malang, Jawa Timur, Indonesia
---------------------------------------------------------------------***---------------------------------------------------------------------
Abstract - How many inovations to retrofitting of
building structures are important topics. Failure in
structures such as beams dan columns due to time,
refunctions of a building, even initial design errors that are
weak or lack the safety factor of a building structure.
External reinforced concrete beams are one of the beams
currently being developed, concrete blocks with
reinforcement of steel reinforcement on the outer (external)
of beam. This study aims to determine the stiffness of RC
beams before and after retrofit with external stell
reinforcement, dimension of beams 15 x 15 x 100 cm repeat
12 pcs, with external reinforcement each 6 pcs 2Ø6 and 3Ø6.
The results from this research are stiffness pre-crack and after
crack. Where beams pre-crack in term of load P = 1000 kg,
have an average decrease stiffness of 31.11%, 28.32%, 0.58%,
and increase stiffness 17.09%. And after crack in term of load
P = 3000 kg, have an average increase stiffness of 1.8%, 2.8%,
while increase significant until 41.88% and 59.72%.
Key Words: retrofit, external steel reinforcement, stiffness,
pre-crack, after crack,
1.INTRODUCTION
Reinforced concrete is a combination of concrete and
reinforcing steel which functions as reinforcement in
fibers/ tensile parts which are not owned by concrete. One
of the structural elements in the building is concrete
blocks [4]. Concrete beams as structural elements are
designed to hold loads perpendicular to the axis [4].
Increasing the strength of building structures has become
an important topic lately. Transfer of functions of a
building, failure of structures such as beams and columns
due to time serviceability, environment that affects the
decrease in structural strength and even initial design
errors that are weak or lacking or disaster such as
earthquakes. In the research of Suhad Susanto, et al.
"External Reinforced Concrete Beams" where Steel Lips
Channel is used as reinforcement. The results showed that
after being strengthened with steel Lips Channel there was
an increase in strength.
Kothandaraman et al (In Zhang., 2012) "Flexural
Retrofitting of RC Beams Using External Bars at Soffit
Level-An Experimental Study". The method of retrofitting
RC beams with external reinforcement at the soffit level.
This retrofit method is cost effective, and easy to apply. All
specimens are under two-point loading until they collapse.
Middle-range and quarter deflections are shown in Figure
2.2 and the tests are presented in Table 2.1. The results
showed that external reinforcement retrofitting at the
soffit level in this way significantly reduced crack width,
deflection, and increased moment capacity compared to
without retrofit. [1]
Alanwar, A and Elbatal (2015) "A Smart Reinforced Steel
Wire Mesh U-Shape Jacketing Technique in Strengthening
and Retrofitting RC Beams". This method uses external
steel reinforcement for reinforcement and is covered with
U-shaped wiremesh. The difference in the number of
variations of external steel reinforcement is used in the
repair method. The results show that the reinforcement
method significantly increases the flexural and shear
strength and performance of reinforced concrete beams.
With the addition of variations in the number of
reinforcement from 2Ø8 to 5Ø8, it shows the results of
increasing load carrying capacity from 108% to 136%. [2]
Hamza Salim Mohammed Al Saadi, et al (2017) Research
"An Experimental Study on Strengthening of Reinforced
Concrete Flexural Members using Steel Wire Mesh". In this
method, wiremesh is used to increase the flexural capacity
of the beam, but the installation of wiremesh is only on the
flexible side, so that when a lot of testing is done shear
crack occurs. [3]
n this research case is retrofit with external steel
reoinforcement method and add confinement external
reinforcement to hold the shear strength of beam.
2. EXPERIMENTAL PROCEDURES
2.1 Test Specimen
The specimens for reinforced concrete beams dimension
of 15 x 15 x 100 cm, while the beam of the specimen after
retrofitting remains with a size of 15 x 15 x 100 add
external steel reinforcement at the bottom and sides of the
beam, with cross section right-left 6 pieces of confinement.
The following is the detail of the test object to be made in
the study, namely as follows:
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1843
Fig -1: Specimen of beams with external bar 2Ø6
Fig -2: Specimen of beams with external bar 3Ø6
Fig -3: Section of specimen
Table -1: Quantity and Variation of Beams Specimen
A (Beams, dimension 15 x 15 x 100 cm before retrofit)
No Code Annotation Q
1 A1B1C2D1 Beams (4Ø6, confinement Ø6-
200)
3
pcs
2 A1B1C2D1
(FA)
Beams + fly ash 20% (4Ø6,
confinement Ø6-200)
3
pcs
3 A3B1C2D1 Beams with slag cement 40%
(4Ø6, confinement Ø6-200)
3
pcs
4 A3B1C2D1
(FA)
Beams with slag cement 40% +
fly ash 20% (4Ø6, confinement
Ø6-200)
3
pcs
B (Beams, dimension 15 x 15 x 100 cm after retrofit)
1 B1 Beams with add external
reinforcement bar and external
confinement (2Ø6, confinement
Ø6-60)
6
pcs
2 B2 Beams with add external
reinforcement bar and external
confinement (3Ø6, confinement
Ø6-60)
6
pcs
2.2 Procedures
Beams specimen were repaired after loading up to failure
(Fig.4), the reinforced surface of the beam was cleaned, and
prepared before the installation of external steel
reinforcement, in the following order:
1. Provide all necessary materials and equipment;
Upholding the position of the beam which slides to
the zero deflection position;
2. Flatten the surface of the beam to be reinforced with
external steel reinforcement and clean it from any
dirt that might reduce;
3. Ensure that the concrete surface is dry so that the
sika grout adheres well;
4. Preparing to make formwork for grouting;
5. Grouting or do all parts of the beam that have been
damaged, for damage to the concrete that is wide
enough to need to be given coarse aggregate in the
mixture.
6. Keep the entire surface of the damaged concrete
block closed properly, and do curing for
approximately 72 hours.
7. Prepare a mixture of adhesive materials between
external steel reinforcement and concrete that has
been repaired, which uses sikadur adhesive.
8. Add grid hole on the concrete surface as the base
for placing external steel reinforcement. Both
longitudinal and vertical directions.
9. Apply sikadur adhesive on the surface of the beam
to be installed with external steel reinforcement.
10. Attach steel reinforcement reinforcement material
longitudinally to the beam and reinforced again
with external stirrup reinforcement as a sliding
barrier.
11. After the external steel reinforcement is installed,
then testing is continued.
The graph of the beams after retrofit can be shown in
Figure 5 and Figure 6 below.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1844
Fig -4: The condition of flexural beam testing after loading
up to failure
Fig -5: Beams after retrofit with external steel
reinforcement method (left 2Ø6, right 3Ø6)
Fig -6: Beams after retrofit with external steel
confinement Ø6-60
2.3 Test Setup
Tests are carried out on a frame made of steel profiles
designed with simple placement (roller joints) to test the
flexural strength of the beam with a span length of 100 cm
and a rectangular cross section with dimensions of 15 cm
x 15 cm with a planned maximum load of 7 tons (Fig. 7)
and 3d view setting up (Fig. 8).
Fig -7: Flexural beam testing scheme on loading frame
Fig -8: 3D View Setting up on loading frame
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1845
3. RESULTS AND DISCUSSIONS
3.1 Stiffness
The load graph and deflection in the middle of the span
from the experimental results above show flexural
stiffness of the cross section. Stiffness is formulated with
P/Δ. According to Ujianto, 2006 (in Handika, 2016) stating
beam stiffness can be seen from the slope of the load
relationship curve and beam deflection. The steeper the
slope of the curve, the more rigid the beam is, or vice
versa.
3.2 Stiffness Pre-Crack
The results obtained flexural stiffness for pre-crack
conditions, in terms of load P = 1000 kg, can be seen in
table 2 below.
Table -2: Beam Stiffness in Pre-crack conditions
NO
CODE
Load
(P)
Δ
(mm)
Stiffness
(kg/mm) Average
(kg)
K =
(P/Δ)
1
A1B1C2D1
(1) 1000 0,85 1176,47
1188,63
2
A1B1C2D1
(2) 1000 0,89 1123,60
3
A1B1C2D1
(3) 1000 0,79 1265,82
4 B1 (1) 1000 1,21 829,88
818,795 B1 (2) 1000 1,26 791,77
6 B1 (3) 1000 1,20 834,72
7
A3B1C2D1
(1) 1000 0,6 1666,67
1463,64
8
A3B1C2D1
(2) 1000 0,71 1408,45
9
A3B1C2D1
(3) 1000 0,76 1315,79
10 B2 (1) 1000 0,995 1005,03
1049,1111 B2 (2) 1000 1,07 934,58
12 B2 (3) 1000 0,828 1207,73
13
A1B1C2D1
FA(1) 1000 1,11 900,90
847,15
14
A1B1C2D1
FA(2) 1000 1,14 877,19
15
A1B1C2D1
FA(3) 1000 1,31 763,36
16 B1 (4) 1000 1,464 683,06
842,2217 B1 (5) 1000 1,24 808,41
18 B1 (6) 1000 0,966 1035,20
19
A3B1C2D1
FA(1) 1000 2,62 381,68
764,30
20
A3B1C2D1
FA(2) 1000 0,96 1041,67
21
A3B1C2D1
FA(3) 1000 1,15 869,57
22 B2 (4) 1000 1,081 925,07
921,8023 B2 (5) 1000 1,16 862,81
24 B2 (6) 1000 1,02 977,52
The graph of the average stiffness value of each variation
in table 2 can be shown in Figure 9 below.
Fig -9: Comparison of Beam Average Stiffness in Pre-crack
Conditions for Each Variation (Before and After Retrofit)
From Figure 6 above, it can be seen that there is a
decrease in stiffness when compared between beams
before and after retrofitting using external steel
reinforcement which is between beams (A1B1C2D1) and
beams (B1 1-3) of 31.11%, beams (A3B1C2D1) and beams
(B2 1-3) of 28.32%, beam (A1B1C2D1 FA) and beam (B1
4-6) of 0.58%, and vice versa began to increase the
stiffness of the beam (A3B1C2D1 FA) and beam (B2 4-6 )
amounting to 17.09%. Before cracking, the role is
concrete, so after retrofitting we cannot ascertain the
condition of the micro crack filling grouting beam that
occurs after testing. So the stiffness of the beam after
retrofitting will definitely decrease.
3.3 Stiffness After Crack
The results obtained flexural stiffness for after crack
conditions, in terms of load P = 3000 kg, can be seen in
table 3 below.
Table -3: Beam Stiffness in After crack conditions
NO CODE
Load
(P)
Δ
(mm)
Stiffness
(kg/mm) Average
(kg) K = (P/Δ)
1
A1B1C2D1
(1) 3000 3,27 917,43
846,57
2
A1B1C2D1
(2) 3000 3,86 777,20
3
A1B1C2D1
(3) 3000 3,55 845,07
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1846
4 B1 (1) 3000 3,33 900,63
861,805 B1 (2) 3000 3,79 792,18
6 B1 (3) 3000 3,36 892,59
7
A3B1C2D1
(1) 3000 2,68 1119,40
1057,24
8
A3B1C2D1
(2) 3000 3,16 949,37
9
A3B1C2D1
(3) 3000 2,72 1102,94
10 B2 (1) 3000 2,553 1175,09
1086,8511 B2 (2) 3000 3,89 771,41
12 B2 (3) 3000 2,283 1314,06
13
A1B1C2D1
FA(1) 3000 3,52 852,27
728,26
14
A1B1C2D1
FA(2) 3000 4,33 692,84
15
A1B1C2D1
FA(3) 3000 4,69 639,66
16 B1 (4) 3000 3,497 857,88
1033,2417 B1 (5) 3000 3,18 943,69
18 B1 (6) 3000 2,311 1298,14
19
A3B1C2D1
FA(1) 3000 5,58 537,63
690,59
20
A3B1C2D1
FA(2) 3000 4,04 742,57
21
A3B1C2D1
FA(3) 3000 3,79 791,56
22 B2 (4) 3000 2,697 1112,35
1103,0123 B2 (5) 3000 2,91 1031,64
24 B2 (6) 3000 2,58 1165,05
The graph of the average stiffness value of each variation
in table 3 can be shown in Figure 7 below.
Fig -10: Comparison of Beam Average Stiffness in After
crack Conditions for Each Variation (Before and After
Retrofit)
From Figure 10 above, it can be seen that there is an
increase in stiffness when compared between beams
before and after retrofitting using external steel
reinforcement which is between beams (A1B1C2D1) and
beams (B1 1-3) of 1.8%, beam (A3B1C2D1) and beams
(B2 1-3) of 2.8%, beam (A1B1C2D1 FA) and beam (B1 4-
6) of 41.88%, and significant increase in stiffness of beam
(A3B1C2D1 FA) and beam (B2 4-6) of 59.72%.
From the results above, it can be analyzed that retrofit
using external steel reinforcement also affect the increase
in stiffness of post-beam beam compared to the beam
before retrofit are carried out.
because after a crack, the one that holds the load is
reinforcement. So that the addition of external
reinforcement can increase the stiffness of the beam after
cracking,
4. CONCLUSIONS
 The stiffness of the beam after retrofit with the
external steel reinforcement method has increased
after cracks in the beam
 For external confinement installations also need to
be considered, to avoid the shear failure of the
beam.
REFERENCES
[1] Zhang, Y. 2012. Repair and Strengthening of
Reinforced Concrete Beams. Thesis: The Ohio State
University M. Young, The Technical Writer’s
Handbook. Mill Valley, CA: University Science, 1989.
[2] Alanwar A. and Elbatal S. 2015. A Smart Reinforced
Steel Wire Mesh U-Shape Jacketing Technique in
Strengthening and Retrofitting RC Beams. Kairo IJERT.
ISSN: 2278-0181, Vol.4 Issue 12, December 2015.
[3] Al Saadi, H .S .M., Hoby P. Mohandas., and Aravind
Namasivayam. 2017. An Experimental Study on
Strengthing of Reinforced Concrete Flexural Members
using Steel Wire Mesh. Muscat, Oman: Curved and
layer Struct. 2017; 4;31-37
[4] Susanto, S. dan Widjaya, A. Without Years. Balok Beton
Bertulangan Eksternal. Surabaya State University.
BIOGRAPHIES
Novita Ike Triyuliani, Post
Graduate Student at Department
of Civil Engineering, Brawijaya
University, Malang, Jawa Timur,
Indonesia.
Sri Murni Dewi, Professor at
Department of Civil Engineering,
Brawijaya University, Malang,
Jawa Timur, Indonesia.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1847
Lilya Susanti, Lecturer at
Department of Civil Engineering,
Brawijaya University, Malang,
Jawa Timur, Indonesia.

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IRJET- Stiffness of Reinforced Concrete Beams After Retrofit with External Steel Reinforcement Method

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1842 Stiffness of Reinforced Concrete Beams after Retrofit with External Steel Reinforcement Method Novita Ike Triyuliani1, Sri Murni Dewi2, Lilya Susanti3 1PG Student, Department of Civil Engineering, Brawijaya University, Malang, Jawa Timur, Indonesia 2Professor, Department of Civil Engineering, Brawijaya University, Malang, Jawa Timur, Indonesia 3Lecturer, Department of Civil Engineering, Brawijaya University, Malang, Jawa Timur, Indonesia ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract - How many inovations to retrofitting of building structures are important topics. Failure in structures such as beams dan columns due to time, refunctions of a building, even initial design errors that are weak or lack the safety factor of a building structure. External reinforced concrete beams are one of the beams currently being developed, concrete blocks with reinforcement of steel reinforcement on the outer (external) of beam. This study aims to determine the stiffness of RC beams before and after retrofit with external stell reinforcement, dimension of beams 15 x 15 x 100 cm repeat 12 pcs, with external reinforcement each 6 pcs 2Ø6 and 3Ø6. The results from this research are stiffness pre-crack and after crack. Where beams pre-crack in term of load P = 1000 kg, have an average decrease stiffness of 31.11%, 28.32%, 0.58%, and increase stiffness 17.09%. And after crack in term of load P = 3000 kg, have an average increase stiffness of 1.8%, 2.8%, while increase significant until 41.88% and 59.72%. Key Words: retrofit, external steel reinforcement, stiffness, pre-crack, after crack, 1.INTRODUCTION Reinforced concrete is a combination of concrete and reinforcing steel which functions as reinforcement in fibers/ tensile parts which are not owned by concrete. One of the structural elements in the building is concrete blocks [4]. Concrete beams as structural elements are designed to hold loads perpendicular to the axis [4]. Increasing the strength of building structures has become an important topic lately. Transfer of functions of a building, failure of structures such as beams and columns due to time serviceability, environment that affects the decrease in structural strength and even initial design errors that are weak or lacking or disaster such as earthquakes. In the research of Suhad Susanto, et al. "External Reinforced Concrete Beams" where Steel Lips Channel is used as reinforcement. The results showed that after being strengthened with steel Lips Channel there was an increase in strength. Kothandaraman et al (In Zhang., 2012) "Flexural Retrofitting of RC Beams Using External Bars at Soffit Level-An Experimental Study". The method of retrofitting RC beams with external reinforcement at the soffit level. This retrofit method is cost effective, and easy to apply. All specimens are under two-point loading until they collapse. Middle-range and quarter deflections are shown in Figure 2.2 and the tests are presented in Table 2.1. The results showed that external reinforcement retrofitting at the soffit level in this way significantly reduced crack width, deflection, and increased moment capacity compared to without retrofit. [1] Alanwar, A and Elbatal (2015) "A Smart Reinforced Steel Wire Mesh U-Shape Jacketing Technique in Strengthening and Retrofitting RC Beams". This method uses external steel reinforcement for reinforcement and is covered with U-shaped wiremesh. The difference in the number of variations of external steel reinforcement is used in the repair method. The results show that the reinforcement method significantly increases the flexural and shear strength and performance of reinforced concrete beams. With the addition of variations in the number of reinforcement from 2Ø8 to 5Ø8, it shows the results of increasing load carrying capacity from 108% to 136%. [2] Hamza Salim Mohammed Al Saadi, et al (2017) Research "An Experimental Study on Strengthening of Reinforced Concrete Flexural Members using Steel Wire Mesh". In this method, wiremesh is used to increase the flexural capacity of the beam, but the installation of wiremesh is only on the flexible side, so that when a lot of testing is done shear crack occurs. [3] n this research case is retrofit with external steel reoinforcement method and add confinement external reinforcement to hold the shear strength of beam. 2. EXPERIMENTAL PROCEDURES 2.1 Test Specimen The specimens for reinforced concrete beams dimension of 15 x 15 x 100 cm, while the beam of the specimen after retrofitting remains with a size of 15 x 15 x 100 add external steel reinforcement at the bottom and sides of the beam, with cross section right-left 6 pieces of confinement. The following is the detail of the test object to be made in the study, namely as follows:
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1843 Fig -1: Specimen of beams with external bar 2Ø6 Fig -2: Specimen of beams with external bar 3Ø6 Fig -3: Section of specimen Table -1: Quantity and Variation of Beams Specimen A (Beams, dimension 15 x 15 x 100 cm before retrofit) No Code Annotation Q 1 A1B1C2D1 Beams (4Ø6, confinement Ø6- 200) 3 pcs 2 A1B1C2D1 (FA) Beams + fly ash 20% (4Ø6, confinement Ø6-200) 3 pcs 3 A3B1C2D1 Beams with slag cement 40% (4Ø6, confinement Ø6-200) 3 pcs 4 A3B1C2D1 (FA) Beams with slag cement 40% + fly ash 20% (4Ø6, confinement Ø6-200) 3 pcs B (Beams, dimension 15 x 15 x 100 cm after retrofit) 1 B1 Beams with add external reinforcement bar and external confinement (2Ø6, confinement Ø6-60) 6 pcs 2 B2 Beams with add external reinforcement bar and external confinement (3Ø6, confinement Ø6-60) 6 pcs 2.2 Procedures Beams specimen were repaired after loading up to failure (Fig.4), the reinforced surface of the beam was cleaned, and prepared before the installation of external steel reinforcement, in the following order: 1. Provide all necessary materials and equipment; Upholding the position of the beam which slides to the zero deflection position; 2. Flatten the surface of the beam to be reinforced with external steel reinforcement and clean it from any dirt that might reduce; 3. Ensure that the concrete surface is dry so that the sika grout adheres well; 4. Preparing to make formwork for grouting; 5. Grouting or do all parts of the beam that have been damaged, for damage to the concrete that is wide enough to need to be given coarse aggregate in the mixture. 6. Keep the entire surface of the damaged concrete block closed properly, and do curing for approximately 72 hours. 7. Prepare a mixture of adhesive materials between external steel reinforcement and concrete that has been repaired, which uses sikadur adhesive. 8. Add grid hole on the concrete surface as the base for placing external steel reinforcement. Both longitudinal and vertical directions. 9. Apply sikadur adhesive on the surface of the beam to be installed with external steel reinforcement. 10. Attach steel reinforcement reinforcement material longitudinally to the beam and reinforced again with external stirrup reinforcement as a sliding barrier. 11. After the external steel reinforcement is installed, then testing is continued. The graph of the beams after retrofit can be shown in Figure 5 and Figure 6 below.
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1844 Fig -4: The condition of flexural beam testing after loading up to failure Fig -5: Beams after retrofit with external steel reinforcement method (left 2Ø6, right 3Ø6) Fig -6: Beams after retrofit with external steel confinement Ø6-60 2.3 Test Setup Tests are carried out on a frame made of steel profiles designed with simple placement (roller joints) to test the flexural strength of the beam with a span length of 100 cm and a rectangular cross section with dimensions of 15 cm x 15 cm with a planned maximum load of 7 tons (Fig. 7) and 3d view setting up (Fig. 8). Fig -7: Flexural beam testing scheme on loading frame Fig -8: 3D View Setting up on loading frame
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1845 3. RESULTS AND DISCUSSIONS 3.1 Stiffness The load graph and deflection in the middle of the span from the experimental results above show flexural stiffness of the cross section. Stiffness is formulated with P/Δ. According to Ujianto, 2006 (in Handika, 2016) stating beam stiffness can be seen from the slope of the load relationship curve and beam deflection. The steeper the slope of the curve, the more rigid the beam is, or vice versa. 3.2 Stiffness Pre-Crack The results obtained flexural stiffness for pre-crack conditions, in terms of load P = 1000 kg, can be seen in table 2 below. Table -2: Beam Stiffness in Pre-crack conditions NO CODE Load (P) Δ (mm) Stiffness (kg/mm) Average (kg) K = (P/Δ) 1 A1B1C2D1 (1) 1000 0,85 1176,47 1188,63 2 A1B1C2D1 (2) 1000 0,89 1123,60 3 A1B1C2D1 (3) 1000 0,79 1265,82 4 B1 (1) 1000 1,21 829,88 818,795 B1 (2) 1000 1,26 791,77 6 B1 (3) 1000 1,20 834,72 7 A3B1C2D1 (1) 1000 0,6 1666,67 1463,64 8 A3B1C2D1 (2) 1000 0,71 1408,45 9 A3B1C2D1 (3) 1000 0,76 1315,79 10 B2 (1) 1000 0,995 1005,03 1049,1111 B2 (2) 1000 1,07 934,58 12 B2 (3) 1000 0,828 1207,73 13 A1B1C2D1 FA(1) 1000 1,11 900,90 847,15 14 A1B1C2D1 FA(2) 1000 1,14 877,19 15 A1B1C2D1 FA(3) 1000 1,31 763,36 16 B1 (4) 1000 1,464 683,06 842,2217 B1 (5) 1000 1,24 808,41 18 B1 (6) 1000 0,966 1035,20 19 A3B1C2D1 FA(1) 1000 2,62 381,68 764,30 20 A3B1C2D1 FA(2) 1000 0,96 1041,67 21 A3B1C2D1 FA(3) 1000 1,15 869,57 22 B2 (4) 1000 1,081 925,07 921,8023 B2 (5) 1000 1,16 862,81 24 B2 (6) 1000 1,02 977,52 The graph of the average stiffness value of each variation in table 2 can be shown in Figure 9 below. Fig -9: Comparison of Beam Average Stiffness in Pre-crack Conditions for Each Variation (Before and After Retrofit) From Figure 6 above, it can be seen that there is a decrease in stiffness when compared between beams before and after retrofitting using external steel reinforcement which is between beams (A1B1C2D1) and beams (B1 1-3) of 31.11%, beams (A3B1C2D1) and beams (B2 1-3) of 28.32%, beam (A1B1C2D1 FA) and beam (B1 4-6) of 0.58%, and vice versa began to increase the stiffness of the beam (A3B1C2D1 FA) and beam (B2 4-6 ) amounting to 17.09%. Before cracking, the role is concrete, so after retrofitting we cannot ascertain the condition of the micro crack filling grouting beam that occurs after testing. So the stiffness of the beam after retrofitting will definitely decrease. 3.3 Stiffness After Crack The results obtained flexural stiffness for after crack conditions, in terms of load P = 3000 kg, can be seen in table 3 below. Table -3: Beam Stiffness in After crack conditions NO CODE Load (P) Δ (mm) Stiffness (kg/mm) Average (kg) K = (P/Δ) 1 A1B1C2D1 (1) 3000 3,27 917,43 846,57 2 A1B1C2D1 (2) 3000 3,86 777,20 3 A1B1C2D1 (3) 3000 3,55 845,07
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1846 4 B1 (1) 3000 3,33 900,63 861,805 B1 (2) 3000 3,79 792,18 6 B1 (3) 3000 3,36 892,59 7 A3B1C2D1 (1) 3000 2,68 1119,40 1057,24 8 A3B1C2D1 (2) 3000 3,16 949,37 9 A3B1C2D1 (3) 3000 2,72 1102,94 10 B2 (1) 3000 2,553 1175,09 1086,8511 B2 (2) 3000 3,89 771,41 12 B2 (3) 3000 2,283 1314,06 13 A1B1C2D1 FA(1) 3000 3,52 852,27 728,26 14 A1B1C2D1 FA(2) 3000 4,33 692,84 15 A1B1C2D1 FA(3) 3000 4,69 639,66 16 B1 (4) 3000 3,497 857,88 1033,2417 B1 (5) 3000 3,18 943,69 18 B1 (6) 3000 2,311 1298,14 19 A3B1C2D1 FA(1) 3000 5,58 537,63 690,59 20 A3B1C2D1 FA(2) 3000 4,04 742,57 21 A3B1C2D1 FA(3) 3000 3,79 791,56 22 B2 (4) 3000 2,697 1112,35 1103,0123 B2 (5) 3000 2,91 1031,64 24 B2 (6) 3000 2,58 1165,05 The graph of the average stiffness value of each variation in table 3 can be shown in Figure 7 below. Fig -10: Comparison of Beam Average Stiffness in After crack Conditions for Each Variation (Before and After Retrofit) From Figure 10 above, it can be seen that there is an increase in stiffness when compared between beams before and after retrofitting using external steel reinforcement which is between beams (A1B1C2D1) and beams (B1 1-3) of 1.8%, beam (A3B1C2D1) and beams (B2 1-3) of 2.8%, beam (A1B1C2D1 FA) and beam (B1 4- 6) of 41.88%, and significant increase in stiffness of beam (A3B1C2D1 FA) and beam (B2 4-6) of 59.72%. From the results above, it can be analyzed that retrofit using external steel reinforcement also affect the increase in stiffness of post-beam beam compared to the beam before retrofit are carried out. because after a crack, the one that holds the load is reinforcement. So that the addition of external reinforcement can increase the stiffness of the beam after cracking, 4. CONCLUSIONS  The stiffness of the beam after retrofit with the external steel reinforcement method has increased after cracks in the beam  For external confinement installations also need to be considered, to avoid the shear failure of the beam. REFERENCES [1] Zhang, Y. 2012. Repair and Strengthening of Reinforced Concrete Beams. Thesis: The Ohio State University M. Young, The Technical Writer’s Handbook. Mill Valley, CA: University Science, 1989. [2] Alanwar A. and Elbatal S. 2015. A Smart Reinforced Steel Wire Mesh U-Shape Jacketing Technique in Strengthening and Retrofitting RC Beams. Kairo IJERT. ISSN: 2278-0181, Vol.4 Issue 12, December 2015. [3] Al Saadi, H .S .M., Hoby P. Mohandas., and Aravind Namasivayam. 2017. An Experimental Study on Strengthing of Reinforced Concrete Flexural Members using Steel Wire Mesh. Muscat, Oman: Curved and layer Struct. 2017; 4;31-37 [4] Susanto, S. dan Widjaya, A. Without Years. Balok Beton Bertulangan Eksternal. Surabaya State University. BIOGRAPHIES Novita Ike Triyuliani, Post Graduate Student at Department of Civil Engineering, Brawijaya University, Malang, Jawa Timur, Indonesia. Sri Murni Dewi, Professor at Department of Civil Engineering, Brawijaya University, Malang, Jawa Timur, Indonesia.
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1847 Lilya Susanti, Lecturer at Department of Civil Engineering, Brawijaya University, Malang, Jawa Timur, Indonesia.