SHEAR STRNGTHENING OF RC BEAMS WITH EXTERNALLY … · 1.2.1 Glass Fiber Reinforced Polymer (GFRP):...

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- 1 - SHEAR STRNGTHENING OF RC BEAMS WITH EXTERNALLY BONDED GFRP SHEETS M. Hemapriya 1 , T.P.Meikandaan 2 Assistant Professor 1,2 , Department of Civil Engineering 1,2 BIST, BIHER, Bharath University [email protected] [email protected] ABSTRACT The superior properties of polymers composite materials like high corrosive resistance, high strength, high stiffness, excellent fatigue performance and good resistance to chemical attack etc, has motivated the researchers and practicing engineers to use the polymers composites in the fields of retrofitting of structures .strengthening the reinforced concrete beams has some advantages namely, increasing durability and extending life span of the weakened reinforced concrete beams. Study on Shear Strengthening of RC Beams with GFRP sheets is carried out. The dimension of the Beam Specimen is 100mmx200mmx1500mm. The reinforced concrete beams externally bonded with GFRP sheets were tested using a symmetrical two point concentrated static loading system. The ultimate strength of three beams were tested and treated as Control beams. Three more beams were tested after preloading of 80% of its ultimate strength, Strengthened using GFRP sheets. In this study (GFRP) Glass Fiber Reinforced Polymer gives appreciable strength, stiffness, and ductility in shear. Key wards: Glass fiber, epoxy, and retrofitting 1.1 INTRODUCTION A few agents took up solid shafts and sections retrofitted with glass fiber strengthened polymer (GFRP) composites so as to study the improvement of quality and pliability, toughness, impact of restriction, planning of configuration rules. By GFRP sheets, retrofitting of solid structures give a more practical and in fact better option than the conventional strategies much of the time since it offers high quality, low weight, erosion resistance, high exhaustion resistance. Deterioration in concrete structures is a major challenge faced by the infrastructure and bridge industries worldwide. The deterioration can be mainly due to environmental effects, which includes corrosion of steel, gradual loss of strength with ageing, repeated high intensity loading, variation in temperature[1-6], freeze-thaw cycles, contact with chemicals and saline water and exposure to ultra-violet radiations. Along these lines, broad examination works are being completed all through world on retrofitting of solid bars and sections with remotely reinforced GFRP composites. A few specialists took up solid pillars and sections retrofitted with glass fiber strengthened polymer (GFRP) composites to ponder the upgrade of quality and flexibility, sturdiness, impact of imprisonment, readiness of outline rules. By GFRP sheets[35-43], retrofitting of solid structures give a more sparing and in fact better option than the conventional International Journal of Pure and Applied Mathematics Volume 119 No. 12 2018, 8647-8667 ISSN: 1314-3395 (on-line version) url: http://www.ijpam.eu Special Issue ijpam.eu 8647

Transcript of SHEAR STRNGTHENING OF RC BEAMS WITH EXTERNALLY … · 1.2.1 Glass Fiber Reinforced Polymer (GFRP):...

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SHEAR STRNGTHENING OF RC BEAMS WITH EXTERNALLY BONDED

GFRP SHEETS

M. Hemapriya1

, T.P.Meikandaan2

Assistant Professor1,2

, Department of Civil Engineering 1,2

BIST, BIHER, Bharath University

[email protected]

[email protected]

ABSTRACT

The superior properties of polymers composite materials like high corrosive resistance, high

strength, high stiffness, excellent fatigue performance and good resistance to chemical attack etc,

has motivated the researchers and practicing engineers to use the polymers composites in the

fields of retrofitting of structures .strengthening the reinforced concrete beams has some

advantages namely, increasing durability and extending life span of the weakened reinforced

concrete beams. Study on Shear Strengthening of RC Beams with GFRP sheets is carried out.

The dimension of the Beam Specimen is 100mmx200mmx1500mm. The reinforced concrete

beams externally bonded with GFRP sheets were tested using a symmetrical two point

concentrated static loading system. The ultimate strength of three beams were tested and treated

as Control beams. Three more beams were tested after preloading of 80% of its ultimate strength,

Strengthened using GFRP sheets. In this study (GFRP) Glass Fiber Reinforced Polymer gives

appreciable strength, stiffness, and ductility in shear.

Key wards: Glass fiber, epoxy, and retrofitting

1.1 INTRODUCTION

A few agents took up solid shafts and sections retrofitted with glass fiber strengthened polymer

(GFRP) composites so as to study the improvement of quality and pliability, toughness, impact

of restriction, planning of configuration rules. By GFRP sheets, retrofitting of solid structures

give a more practical and in fact better option than the conventional strategies much of the time

since it offers high quality, low weight, erosion resistance, high exhaustion resistance.

Deterioration in concrete structures is a major challenge faced by the infrastructure and bridge

industries worldwide. The deterioration can be mainly due to environmental effects, which

includes corrosion of steel, gradual loss of strength with ageing, repeated high intensity loading,

variation in temperature[1-6], freeze-thaw cycles, contact with chemicals and saline water and

exposure to ultra-violet radiations. Along these lines, broad examination works are being

completed all through world on retrofitting of solid bars and sections with remotely reinforced

GFRP composites. A few specialists took up solid pillars and sections retrofitted with glass fiber

strengthened polymer (GFRP) composites to ponder the upgrade of quality and flexibility,

sturdiness, impact of imprisonment, readiness of outline rules. By GFRP sheets[35-43],

retrofitting of solid structures give a more sparing and in fact better option than the conventional

International Journal of Pure and Applied MathematicsVolume 119 No. 12 2018, 8647-8667ISSN: 1314-3395 (on-line version)url: http://www.ijpam.euSpecial Issue ijpam.eu

8647

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systems as a rule since it offers high quality, low weight, consumption resistance[7-14], high

weakness resistance.

RETROFITTING

Retrofitting refers to the addition of new technology or new features to older systems.

It is the modification of the existing structures to make them more resistant, durable and extend

their life span. Retrofitting is a technical intervention in the structural system of a structure that

improves the resistance by optimizing the strength, ductility and durability. Strength of the

structure is generated from the structural dimensions, materials, shape and number of structural

elements[15-22].

1.2 MATERIALS USED

1.2.1 Glass Fiber Reinforced Polymer (GFRP):

Glass Fibre is a material consisting of minerals extremely fine fibres of glass. It can be

used as a insulating material. Glass Fibres are also used as a reinforcing agent for many Polymer

products to form very strong and light fibre reinforced Polymer FRP Composite materials called

Glass Reinforced Plastic GRP popularily known as Fibre glass. Glass fibers are considerably

cheaper than carbon and aramid fibers[23-30]. Therefore glass fiber composites have become

popular in many applications. The moduli of fibers are 70-85 GPa with ultimate elongation 2-5%

depending on quality. The specialty AR-glass fibers are resistant to the alkaline environment

found in concrete but have much higher cost[44-50].

Table 1.1 Properties of GFRP

Properties of GFRP Value

Density of fibre 2.6 g/cc

Weight of fibre 920 g/mm2 Fibre thickness 4 mm Fibre orientation ±900 Nominal thickness per layer 1.5 mm Tensile strength 3400 N/mm2 Tensile modulus

Colour

Safety factor for static design

Ultimate strain

73000 N/mm2

White

1.5

4.5

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1.3 EXPERIMENTAL INVESTIGATION

The following tests are conducted on cement, fine aggregate and coarse aggregate and the

results are tabulated in the table[31-34].

1.3.1 TEST ON CEMENT

Portland Pozzolona Cement (PPC) is used for the experiment.

Table 1.2 Test on cement

TEST VALUES

Specific Gravity 3.15

Fineness 99.7%

Consistency 34%

Initial setting Time 40 min

1.3.2 TEST ON FINE AGGREGATE

Locally available sand is used as fine aggregate.

Table 1.3 Test on fine aggregate

TEST VALUES

Specific Gravity 2.61

Gradation(sieve analysis)(IS: 383) Zone II

1.3.3 TEST ON COARSE AGREGATE

The coarse aggregates of two grades are used one retained on 12.5 mm size sieve and another

grade contained aggregates retained on 20 mm sieve.

Table 1.4 Test on coarse aggregate

TESTS VALUES

Specific Gravity 2.78

Aggregate Impact Value 13.20%

Aggregate crushing value 5.809%

Aggregate Abrasion Value (LOS ANGELES) 5.52%

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1.4 MIX PROPORTIONS OF M20 GRADE CONCRETE

Table 1.5 Mix proportion

Water Cement Fine aggregate Coarse aggregate

191.58(lit) 425.73 (kg) 662.367 (kg) 1159.98 (kg)

0.45 1 1.55 2.72

1.5 CASTING OF BEAM

Width=100mm

Length =1500mm

Depth =200mm

Fig-1.1 Typical diagram of a beam

Table 1.6 : Quantity of materials for casting

Materials One Mould (in Kg) Six Mould (in Kg)

Cement 15 90

Fine Aggregate 22 132

Coarse Aggregate 37 222

Water 6.5 39

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1.6 TESTING THE SPECIMEN

Fig 1.2 Test setup

Fig 1.3 Testing on specimen

2.1 WORKABILITY TEST ON FRESH CONCRETE-

Table 2.1 Slump test

Water cement ratio (%) Workability measured slump (mm)

0.45 38

Table 2.2 Compaction factor

Water cement ratio (%) Compaction factor

0.45 0.824

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2.2 ANALYSIS OF BEAM FOR 28 DAYS:

Table 2.3: Load in Tonnes for 28 Days

Beam no. Control beam (Ultimate load)

at 28 days (Tonnes)

(Tonnes)

Preloaded beam of 80% at

28 days (Tonnes)

B 1 5.5 4.4

B 2 5.6 4.48

B 3 5.45 4.36

Avg Load

(Tonnes) 5.51 4.45

2.3 CONTROL BEAM TEST (ULTIMATE LOAD) AT 28 DAYS:

Table 2.4: Ultimate load and deflection

Testing of beam (Controlled beam CB 1)

Load (tonnes) LVDT 1 (mm) LVDT 2(mm)

0 0 0

0.5 0.7 0.1

1 0.9 0.3

1.5 1.1 0.45

2 1.4 0.6

2.5(initial crack) 1.8 1

3 2.4 1.50

3.5 2.8 1.7

4 3.4 2.3

4.5 4.5 2.7

5 4.5 3.4

5.5 (ultimate) 5.8 4.8

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0

1

2

3

4

5

6

7

0 1 2 3 4 5 6

Lo

ad

Deflection

Testing of beam (C.B 1)

LVDT 1 (mm)

LVDT 2(mm)

Fig 2.1 Load and deflection graph for C.B 1

Table 2.5: Ultimate load and deflection

Testing of beam (Controlled beam C.B 2)

Load (tonnes) LVDT 1 (mm) LVDT 2(mm)

0 0 0

0.5 0.3 0.1

1 0.52 0.31

1.5 0.7 0.5

2 1.2 0.85

2.5(initial crack) 1.5 0.9

3 1.9 1.36

3.5 2.35 1.9

4 2.9 2.4

4.5 3.45 2.8

5 4.4 3.7

5.6 (ultimate) 5.6 4.8

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Fig 2.2 Load and deflection graph for C.B 2

Table 2.6: ultimate load and deflection

Testing of beam (Controlled beam CB 3)

Load (tonnes) LVDT 1 (mm) LVDT 2(mm)

0 0 0

0.5 0.6 0.1

1 1 0.4

1.5 1 0.5

2 1.3 0.45

2.5(initial crack) 1.6 1.1

3 2.5 1.6

3.5 2.6 1.8

4 3.2 2.2

4.5 4.5 2.7

5 4.6 3.5

5.45 (ultimate) 5.7 4.7

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0

1

2

3

4

5

6

0 1 2 3 4 5 6

Lo

ad

Deflection

Testing of beam (CB 3)

LVDT1 (mm)

LVDT2(mm)

Fig.2.3 Load and deflection graph for C.B 3

2.4 PRELOADED BEAM TEST OF 80% AT 28 DAYS :

Table 2.7: Ultimate load and deflection

Testing Of Beam( Preloaded Beam (P.B 1) with 80% of load)

load (tonnes) LVDT 1 (mm) LVDT 2 (mm)

0 0 0

0.5 0.5 0.1

1 0.7 0.3

1.5 0.9 0.4

2 (initial crack) 1.3 0.7

2.5 1.7 0.9

3 2 1.3

3.5 2.6 1.5

4 3.1 1.9

4.4 (ultimate) 3.7 2.3

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Fig 2.4 Load and deflection graph for P.B 1

Table 2.8 : Ultimate load and deflection

Testing Of Beam( Preloaded Beam (P.B 2) with 80% of load)

load (tonnes) LVDT 1 (mm) LVDT 2 (mm)

0 0 0

0.5 0.2 0.1

1 0.4 0.35

1.5 0.7 0.5

2 1.1 0.84

2.5 (initial crack) 1.4 0.9

3 1.7 1.3

3.5 2.15 1.8

4 2.6 2.2

4.48 (ultimate) 3.3 2.8

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0

0.5

1

1.5

2

2.5

3

3.5

0 1 2 3 4 5

Load

Deflection

Testing Of Beam(P.B 2)

LVDT 1 (mm)

LVDT 2 (mm)

Fig 2.5 Load and deflection graph for P.B 2

Table 2.9 : Ultimate load and deflection

Testing Of Beam( Preloaded Beam (P.B 3) with 80% of load)

load (tonnes) LVDT 1 (mm) LVDT 2 (mm)

0 0 0

0.5 0.6 0.1

1 0.8 0.2

1.5 1 0.5

2 (initial crack) 1.2 0.8

2.5 1.6 1

3 2.1 1.2

3.5 2.7 1.4

4 3 1.8

4.45 (ultimate) 3.6 2.2

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0

0.5

1

1.5

2

2.5

3

3.5

4

0 1 2 3 4 5

Load

Deflection

Testing Of Beam(P.B 3)

LVDT 1 (mm)

LVDT 2 (mm)

Fig.2.6 Load and deflection graph for P.B 3

3.1 COMPRESSIVE STRENGTH ON CUBE :

1. It is found that after 7th day test on cube the compressive strength achieved was 13.78 N/mm

2

2. It is found that after 28th day test on cube the compressive strength achieved was 22.54

N/mm2

Fig 3.1 Compression Test on Cube.

3.2 SPLIT TENSILE STRENGTH OF CYLLINDER:

1. Testing done for tensile strength for cylinder after 7th day was 3.98 N/mm

2

2. Testing done for tensile strength for cylinder after 28th day was 8.85 N/mm

2

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Fig 3.2 Split tensile test on Cylinder

4.1 WRAPPING RESULTS FOR SPECIMEN

Table 4.1 Wrapped specimen 1

GFRP SINGLE LAYER WRAPPING 'U'- PATTERN FOR BEAM 4

Load (tonnes) LVDT 1 (mm) LVDT 2(mm)

0 0 0

0.5 0.3 0.4

1 0.6 0.7

1.5 0.9 1

2 1.1 1.2

2.5 1.4 1.5

3 1.7 1.8

3.5 2 2.1

4 (initial crack) 2.3 2.5

4.5 2.7 2.8

5 3.2 3.3

5.5 4.9 5.5

5.9(ultimate) 6.9 7.3

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Fig. 4.1 wrapped beam 4

Table 4.2 wrapped specimen 2

GFRP SINGLE LAYER WRAPPING 'U'- PATTERN FOR BEAM 5

Load (tonnes) LVDT 1 (mm) LVDT 2(mm)

0 0 0

0.5 0.2 0.3

1 0.6 0.5

1.5 0.9 0.8

2 1 0.9

2.5 1.2 1

3 1.5 1.1

3.5 1.9 1.7

4 (initial crack) 2.1 1.9

4.5 2.5 2.1

5 2.9 2.7

5.5 3.4 3.2

6 4.1 3.8

6.1 (ultimate) 5.8 5.2

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Fig 4.2 Wrapped beam 5

Table 4.3 wrapped specimen 3

GFRP SINGLE LAYER WRAPPING 'U'- PATTERN FOR BEAM 6

Load (tonnes) LVDT 1 (mm) LVDT 2(mm)

0 0 0

0.5 0.5 0.3

1 0.8 0.5

1.5 1.1 0.8

2 1.3 1

2.5 1.5 1.2

3 (initial crack) 1.8 1.6

3.5 2 1.9

4 2.3 2.1

4.5 2.5 2.3

5 2.9 2.7

5.5 3.4 3.2

6 (ultimate ) 3.9 3.5

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Fig 4.3 wrapped beam 6

Table 4.4 Comparison

BEAM FIRST CRACK LOAD ULTIMATE LOAD

Control beam 1 2.5 5.5

Control beam 2 2.5 5.6

Control beam 3 2.5 5.45

Beam 4 with single layer wrapping 4 5.9

Beam 5 with single layer wrapping 4 6.1

Beam 6 with single layer wrapping 3 6

5.1 CONCLUSIONS

The study on the effect of GFRP bonding with beams and working can still be a

promising work as there is always a need to strengthening of the beams.

The following conclusions could be drawn from the present investigation

1. It was found that the ultimate load of the beam wrapped with single layer of GFRP sheet

resulted in the increment by 9% by shear strengthening.

2. It was observed that the crack pattern in the beam specimen was in the vertical direction i.e the

crack progressed from the bottom towards the top of the beam .

3. The wrapped beam resisted more load than the control beams.

4. Hence, it was found that by strengthening the beam using wrapping in “U” manner increase

the strength of the beam.

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REFERENCES

1. Perumalla Vishnu DattaTeja, S. Elavanil, M.P. Kiran Kumar(2015)“Flexural

Behaviour of RC Beam Retrofitted With GFRP”, Civil Engineering Systems and

Sustainable Innovations ISBN: 978-93-83083-78-7.

2. Revathy J. and Sriraman (2013) M. “Structural Response of FRP Strengthened Post-

Tensioned Concrete Beams”, ISSN 2277-2502 Vol. 3(ISC-2013), 198-202 .

3. Dr. S. N. TandeAboliK.Mane (2014) “ LinearBehaviour of FRP Strengthened

Reinforced Concrete Beam” Vol. 4 Issue 1ISSN: 2278-621X.

4. Anjali M S, EapenSakaria(2015) “Retrofitting of Concrete Filled Cold Formed Steel

Tubular Beams with GFRP Sheets”, Vol. 4, Issue 9

DOI:10.15680/IJIRSET.2015.0409108 ISSN(Online): 2319-8753.

5. Rudy Djamaluddin, Mufti Amir Sultan, Rita Irmawati, and Hino Shinichi(2015) “

Bond Characteristics of GFRP Sheet on Strengthened Concrete Beams due to Flexural

Loading” IACSIT International Journal of Engineering and Technology, Vol. 7, No

110DOI: 10.7763/IJET.2015.V7.776.

6. Ramamoorthy, R., Kanagasabai, V., Kausalya, R., Impact of celebrities' image on

brand, International Journal of Pure and Applied Mathematics, V-116, I-18 Special

Issue, PP-251-253, 2017

7. Ramamoorthy, R., Kanagasabai, V., Vignesh, M., Quality assurance in operation

theatre withreference to fortis malar hospital, International Journal of Pure and

Applied Mathematics, V-116, I-14 Special Issue, PP-87-93, 2017

8. Ramya, N., Arthy, J., Honey comb graphs and its energy, International Journal of Pure

and Applied Mathematics, V-116, I-18 Special Issue, PP-83-86, 2017

9. Ramya, N., Jagadeeswari, P., Proper coloring of regular graphs, International Journal

of Pure and Applied Mathematics, V-116, I-16 Special Issue, PP-531-533, 2017

10. Ramya, N., Karunagaran, K., Proper, star and acyclic coloring of some graphs,

International Journal of Pure and Applied Mathematics, V-116, I-16 Special Issue, PP-

43-44, 2017

11. Ramya, N., Muthukumar, M., On coloring of 4-regular graphs, International Journal of

Pure and Applied Mathematics, V-116, I-16 Special Issue, PP-491-494, 2017

12. Ramya, N., Muthukumar, M., On star and acyclic coloring of graphs, International

Journal of Pure and Applied Mathematics, V-116, I-16 Special Issue, PP-467-469,

2017

13. Ramya, N., Pavi, J., Coloring of book and gear graphs, International Journal of Pure

and Applied Mathematics, V-116, I-17 Special Issue, PP-401-402, 2017

14. Ramya, P., Hameed Hussain, J., Alteration framework for integrating quality of

service in internet real-time network, International Journal of Pure and Applied

Mathematics, V-116, I-8 Special Issue, PP-57-61, 2017

15. Ramya, P., Sriram, M., Tweet sarcasm: Peep, International Journal of Pure and

Applied Mathematics, V-116, I-10 Special Issue, PP-231-235, 2017

16. Sabarish, R., Meenakshi, C.M., Comparision of beryllium and CI connecting rod using

ansys, International Journal of Pure and Applied Mathematics, V-116, I-17 Special

Issue, PP-127-132, 2017

International Journal of Pure and Applied Mathematics Special Issue

8663

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- 18 -

17. Sabarish, R., Rakesh, N.L., Outcome of inserts for enhancing the heat exchangers,

International Journal of Pure and Applied Mathematics, V-116, I-17 Special Issue, PP-

419-422, 2017

18. Sangeetha, M., Gokul, N., Aruls, S., Estimator for control logic in high level synthesis,

International Journal of Pure and Applied Mathematics, V-116, I-20 Special Issue, PP-

425-428, 2017

19. Sangeetha, M., Gokul, N., Aruls, S., Image steganography using a curvelet

transformation, International Journal of Pure and Applied Mathematics, V-116, I-20

Special Issue, PP-417-422, 2017

20. Saraswathi, P., Srinivasan, V., Peter, M., Research on financial supply chain from

view of stability, International Journal of Pure and Applied Mathematics, V-116, I-17

Special Issue, PP-211-213, 2017

21. Saravana Kumar, A., Hameed Hussain, J., Expanding the pass percentage in semester

examination, International Journal of Pure and Applied Mathematics, V-116, I-15

Special Issue, PP-45-48, 2017

22. Saravana, S., Arulselvi, S., AdaBoost SVM based brain tumour image segmentation

and classification, International Journal of Pure and Applied Mathematics, V-116, I-20

Special Issue, PP-399-403, 2017

23. Saravana, S., Arulselvi, S., Dynamic power management monitoring and controlling

system using wireless sensor network, International Journal of Pure and Applied

Mathematics, V-116, I-20 Special Issue, PP-405-408, 2017

24. Saravana, S., Arulselvi, S., Clustered morphic algorithm based medical image

analysis, International Journal of Pure and Applied Mathematics, V-116, I-20 Special

Issue, PP-411-415, 2017

25. Saravana, S., Arulselvi, S., Networks, International Journal of Pure and Applied

Mathematics, V-116, I-20 Special Issue, PP-393-396, 2017

26. Saritha, B., Chockalingam, M.P., Adsorptive removal of heavy metal chromium from

aqueous medium using modified natural adsorbent, International Journal of Civil

Engineering and Technology, V-8, I-8, PP-1382-1387, 2017

27. Saritha, B., Chockalingam, M.P., Adsorptive removal of brilliant green dye by

modified coconut shell adsorbent, International Journal of Pure and Applied

Mathematics, V-116, I-13 Special Issue, PP-211-215, 2017

28. Saritha, B., Chockalingam, M.P., Photodegradation of eriochrome black-T dye from

aqueous medium by photocatalysis, International Journal of Pure and Applied

Mathematics, V-116, I-13 Special Issue, PP-183-187, 2017

29. Saritha, B., Chockalingam, M.P., Photodradation of malachite green DYE using

TIO<inf>2</inf>/activated carbon composite, International Journal of Civil

Engineering and Technology, V-8, I-8, PP-156-163, 2017

30. Saritha, B., Chockalingam, M.P., Synthesis of photocatalytic composite Fe-C/TiO2 for

degradation of malachite green dye from aqueous medium, International Journal of

Pure and Applied Mathematics, V-116, I-13 Special Issue, PP-177-181, 2017

31. Saritha, B., Chockalingam, M.P., Removal of heavy X`X`l from aqueous medium

using modified natural adsorbent, International Journal of Pure and Applied

Mathematics, V-116, I-13 Special Issue, PP-205-210, 2017

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32. Saritha, B., Chockalingam, M.P., Degradation of malachite green dye using a

semiconductor composite, International Journal of Pure and Applied Mathematics, V-

116, I-13 Special Issue, PP-195-199, 2017

33. Sartiha, B., Chockalingam, M.P., Photocatalytic

decolourisationoftextileindustrywastewaterby TiO2, International Journal of Pure and

Applied Mathematics, V-116, I-18 Special Issue, PP-221-224, 2017

34. Sartiha, B., Chockalingam, M.P., Study on photocatalytic degradation of Crystal

Violet dye using a semiconductor, International Journal of Pure and Applied

Mathematics, V-116, I-18 Special Issue, PP-209-212, 2017

35. Shanthi, E., Nalini, C., Rama, A., The effect of highly-available epistemologies on

hardware and architecture, International Journal of Pharmacy and Technology, V-8, I-

3, PP-17082-17086, 2016

36. Shanthi, E., Nalini, C., Rama, A., Drith: Autonomous,random communication,

International Journal of Pharmacy and Technology, V-8, I-3, PP-17002-17006, 2016

37. Shanthi, E., Nalini, C., Rama, A., A case for replication, International Journal of

Pharmacy and Technology, V-8, I-3, PP-17234-17238, 2016

38. Shanthi, E., Nalini, C., Rama, A., Elve: A methodology for the emulation of robots,

International Journal of Pharmacy and Technology, V-8, I-3, PP-17182-17187, 2016

39. Shanthi, E., Nalini, C., Rama, A., Autonomous epistemologies for 802.11 mesh

networks, International Journal of Pharmacy and Technology, V-8, I-3, PP-17087-

17093, 2016

40. Sharavanan, R., Golden Renjith, R.J., Design and analysis of fuel flow in bend pipes,

International Journal of Pure and Applied Mathematics, V-116, I-15 Special Issue, PP-

59-64, 2017

41. Sharavanan, R., Jose Ananth Vino, V., Emission analysis of C.I engine run by

diesel,sunflower oil,2 ethyl hexyl nitrate blends, International Journal of Pure and

Applied Mathematics, V-116, I-14 Special Issue, PP-403-408, 2017

42. Sharavanan, R., Sabarish, R., Design of built-in hydraulic jack for light motor

vehicles, International Journal of Pure and Applied Mathematics, V-116, I-17 Special

Issue, PP-457-460, 2017

43. Sharavanan, R., Sabarish, R., Design and fabrication of aqua silencer using charcoal

and lime stone, International Journal of Pure and Applied Mathematics, V-116, I-14

Special Issue, PP-513-516, 2017

44. Sharmila, G., Thooyamani, K.P., Kausalya, R., A schoolwork on customer relationship

management with special reference to domain 2 host, International Journal of Pure and

Applied Mathematics, V-116, I-20 Special Issue, PP-199-203, 2017

45. Sharmila, S., Jeyanthi Rebecca, L., Anbuselvi, S., Kowsalya, E., Kripanand, N.R.,

Tanty, D.S., Choudhary, P., SwathyPriya, L., GC-MS analysis of biofuel extracted

from marine algae, Der Pharmacia Lettre, V-8, I-3, PP-204-214, 2016

46. Sidharth Raj, R.S., Sangeetha, M., Data embedding method using adaptive pixel pair

matching method, International Journal of Pure and Applied Mathematics, V-116, I-15

Special Issue, PP-417-421, 2017

47. Sidharth Raj, R.S., Sangeetha, M., Android based industrial fault monitoring,

International Journal of Pure and Applied Mathematics, V-116, I-15 Special Issue, PP-

423-427, 2017

International Journal of Pure and Applied Mathematics Special Issue

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48. Sidharth Raj, R.S., Sangeetha, M., Mobile robot system control through an brain

computer interface, International Journal of Pure and Applied Mathematics, V-116, I-

15 Special Issue, PP-413-415, 2017

49. Sivaraman, K., Sundarraj, B., Decisive lesion detection in digital fundus image,

International Journal of Pure and Applied Mathematics, V-116, I-10 Special Issue, PP-

161-164, 2017

50. Sridhar, J., Sriram, M., Cloud privacy preserving for dynamic groups, International

Journal of Pure and Applied Mathematics, V-116, I-8 Special Issue, PP-117-120, 2017

International Journal of Pure and Applied Mathematics Special Issue

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