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Seismic Resistance of Beam Column joint using diagonal stirrup

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  • 5/26/2018 Seismic Resistance of Beam Column Using Diagonal Stirrup

    INTERNATIONAL JOURNAL OF CIVIL AND STRUCTURAL ENGINEERING

    Volume 2, No 1, 2011

    Copyright 2010 All rights reserved Integrated Publishing services

    Research article ISSN 0976 4399

    Received on July, 2011 Published on September 2011 160

    Seismic Resistance of Exterior Beam Column Joint with Diagonal Collar

    Stirrups

    Bindhu K.R1, Sreekumar K.J

    2

    1-Assistant Professor, Department of Civil Engineering, College of Engineering,Thiruvananthapuram, Kerala, India

    2-P. G. Student, Dept. of Civil Engineering, College of Engineering, Thiruvananthapuram,

    Kerala, India

    [email protected]

    ABSTRACT

    The performance of beam-column joints have long been recognized as a significant factor

    that affects the overall behaviour of reinforced concrete (RC) framed structures subjected to

    large lateral loads. The reversal of forces in beam-column joints during earthquakes may

    cause distress and often failure, when not designed and detailed properly. In the present study,

    four one third scaled exterior beam-column joint specimens were prepared with only one ofthem conforming to the guide lines of IS 13920: 1993 for seismic resistant design. Second

    one was detailed with additional diagonal collar stirrups at joints and beam reinforcements

    and the third one is cast without collar stirrups but having additional beam reinforcements.

    The fourth specimen was having same longitudinal reinforcements of the first specimen but

    with increased spacing of ties in the joint region. All the specimens were subjected to similar

    reverse cyclic loading to simulate earthquake loading in structures. The loading was applied

    by displacement control mode. Based on the experimental findings and subsequent analysis,

    it is found that, second specimen having additional beam reinforcements and diagonal collar

    stirrups at joints exhibits a better performance than the others.

    Keywords:Beam-column joint, ductility, energy dissipation, reinforcement details, ultimate

    load

    1. Introduction

    The performance of beam-column joints have long been recognized as a significant factor

    that affects the overall behaviour of reinforced concrete (RC) framed structures subjected to

    large lateral loads. The beam-column joints that are not detailed and built in accordance with

    seismic codes present a serious hazard that can affect the overall ductility of a structure

    subjected to severe earthquake shocks.

    The failure of reinforced concrete structures in recent earthquakes in several countries has

    caused concern about the performance of beam-column joints (Durrani and Wight 1985).Since past three decades extensive research has been carried out on studying the behaviour of

    joints under seismic conditions through experimental and analytical studies.

    Various international codes have been going periodic revisions (Tsonos 2007). Among the

    Indian codes IS 13920:1993 deals with ductile detailing of reinforced concrete structures

    subjected to seismic forces. However, despite the significance of the joints in sustaining large

    deformations and forces during earthquakes, specific guidelines are not explicitly included in

  • 5/26/2018 Seismic Resistance of Beam Column Using Diagonal Stirrup

    Seismic Resistance of Exterior Beam Column Joint with Diagonal Collar StirrupsBindhu K.R, Sreekumar K.J

    International Journal of Civil and Structural Engineering

    Volume 2 Issue 1 2011

    161

    Indian codes of practice (IS 456: 2000, IS 1893 : 2002, IS 13920: 1993, SP 34:1987). One of

    the basic assumption of the frame analysis is that the joints are strong enough to sustain the

    forces (moments, axial and shear forces) generated by the loading, and to transfer the forces

    from one structural element to another (beams to column, in most of the cases). Confinement

    of joint can be done to satisfy the above condition (Asha and Sundarrajan 2006, Bindhu et al.

    2008, Bindhu et al. 2009a).

    2. Present Study

    The main objectives of the present study was to confine the R.C beam column joint by

    providing diagonal collar stirrups at joint region and to investigate the strength, ductility and

    energy dissipation capacity of beam-column joint specimens having various reinforcement

    arrangements and thereby to compare the behaviour of the specimens made of non-

    conventional confining reinforcement pattern with conventional reinforcement pattern as per

    IS 13920: 1993.

    An eight storey building was modelled and analyzed using STAAD Pro. A typical exterior

    beam-column joint of the building was designed and detailed as per IS 13920:1993 and

    scaled to the laboratory conditions (Tsonos et al. 1992, Tsonos 2000, Murty et al. 2001,Murty et al. 2003, Jain and Murty 2005 a, Jain and Murty 2005 b, Ingle and Jain 2005,

    Bindhu et al. 2009b).

    2.1 Details of Beam-Column Joint

    The experimental program included four 1/3 scaled specimens (C1, C2, C3 & C4). The

    specimen C1 was conforming to IS 13920, C2 with additional beam reinforcements and

    diagonal collar stirrups over C1, C3 with additional beam reinforcements over C1 and C4

    similar to C1 but with increased spacing of ties at joint. The size of the beam was 800 mm x

    100 mm x 150 mm and column 1000 mm x 100 mm x 150 mm. The dimensions and

    reinforcement details of test assemblages are shown in Fig.1 and Fig.2.

    3. Casting of Specimens

    The cement used was Ordinary Portland Cement 43 grade conforming to IS 8112:1989. River

    sand passing through 4.75 mm IS sieve and having a fineness modulus of 3.16 was used as

    fine aggregate. Crushed granite stone of maximum size not exceeding 12.5 mm was used as

    coarse aggregate.

    The mix was designed in proportion of 1:1.33:2.47 by weight respectively and the water-

    cement ratio was kept as 0.45. The 28 day average compressive strength from 150 mm cube

    test was 34.55 N/mm2. The reinforcement cages used for different specimens are shown in

    Fig.3. The specimens were cast in horizontal position inside wooden moulds and were de-

    moulded after 24 hours and then cured in water tank.

  • 5/26/2018 Seismic Resistance of Beam Column Using Diagonal Stirrup

    Seismic Resistance of Exterior Beam Column Joint with Diagonal Collar StirrupsBindhu K.R, Sreekumar K.J

    International Journal of Civil and Structural Engineering

    Volume 2 Issue 1 2011

    162

    Figure 1: Reinforcement details for Specimens C1 and C2

    REINFORCEMENT DETAILS FOR SPECIMEN C2.

    6 Nos. 8mm TOR.

    3mm TOR TIES.

    2 Nos. 8mm TOR.(TOP.)

    3mm TOR STIRRUPS

    @ 35 mm C/C.3mm TOR STIRRUPS

    @ 50 mm C/C.

    3mm TOR TIES @ 25 mm C/C.

    3mm TOR TIES @ 50 mm C/C.

    3mm TOR TIES @ 25 mm C/C.

    3mm TOR TIES @ 50 mm C/C.

    REINFORCEMENT DETAILS FOR SPECIMEN C1.

    6 Nos. 8mm TOR.

    3mm TOR TIES.

    2 Nos. 8mm TOR.(TOP.)

    3mm TOR STIRRUPS

    @ 35 mm C/C.

    3mm TOR STIRRUPS

    @ 50 mm C/C.

    3mm TOR TIES @ 25 mm C/C.

    3mm TOR TIES @ 50 mm C/C.

    3mm TOR TIES @ 25 mm C/C.

    3mm TOR TIES @ 50 mm C/C.

    2 Nos. 8mm TOR.(BOTTOM.)

    2 Nos. 6mm TOR.(TOP.)

    2 Nos. 8mm TOR.(BOTTOM.)

    3mm STIRRUPS. ( 100mm c/c/.)

    3mm TOR TIES (2 Nos.)

    3mm STIRRUPS. ( 50mm c/c.)

    2 Nos. 8mm TOR.(BOTTOM.)

    3mm TOR STIRRUPS

    @ 100 mm C/C.

  • 5/26/2018 Seismic Resistance of Beam Column Using Diagonal Stirrup

    Seismic Resistance of Exterior Beam Column Joint with Diagonal Collar StirrupsBindhu K.R, Sreekumar K.J

    International Journal of Civil and Structural Engineering

    Volume 2 Issue 1 2011

    163

    Figure 2: Reinforcement Details for Specimens C3 and C4

    REINFORCEMENT DETAILS FOR SPECIMEN C3.

    6 Nos. 8mm TOR.

    3mm TOR TIES.

    2 Nos. 8mm TOR.(TOP.)

    3mm TOR STIRRUPS

    @ 35 mm C/C.

    3mm TOR STIRRUPS

    @ 50 mm C/C.

    3mm TOR TIES @ 25 mm C/C.

    3mm TOR TIES @ 50 mm C/C.

    3mm TOR TIES @ 25 mm C/C.

    3mm TOR TIES @ 50 mm C/C.

    2 Nos. 6mm TOR.(TOP.)

    2 Nos. 8mm TOR.(BOTTOM.)

    3mm STIRRUPS. ( 100 mm c/c.)

    3mm STIRRUPS. ( 50mm c/c/.)

    REINFORCEMENT DETAILS FOR SPECIMEN C4.

    6 Nos. 8mm TOR.

    3mm TOR TIES.

    2 Nos. 8mm TOR.(TOP.)3mm TOR STIRRUPS@ 50 mm C/C.

    3mm TOR TIES @ 50 mm C/C.

    3mm TOR TIES @ 50 mm C/C.

    2 Nos. 8mm TOR.(BOTTOM.)

    2 Nos. 8mm TOR.(BOTTOM.)

    3mm TOR STIRRUPS

    @ 100 mm C/C.

  • 5/26/2018 Seismic Resistance of Beam Column Using Diagonal Stirrup

    Seismic Resistance of Exterior Beam Column Joint with Diagonal Collar StirrupsBindhu K.R, Sreekumar K.J

    International Journal of Civil and Structural Engineering

    Volume 2 Issue 1 2011

    164

    Figure 3: Reinforcement Cages Prepared for Different Specimens

  • 5/26/2018 Seismic Resistance of Beam Column Using Diagonal Stirrup

    Seismic Resistance of Exterior Beam Column Joint with Diagonal Collar StirrupsBindhu K.R, Sreekumar K.J

    International Journal of Civil and Structural Engineering

    Volume 2 Issue 1 2011

    165

    3.1 Experimental Setup

    The test set up in the laboratory is shown in Fig. 4. The specimens were tested in an up right

    position and static reverse cyclic loading was applied. Both ends of the column were hinged

    properly within the self straining test frame. A deflection control test was conducted in which

    the specimen was subjected to an increasing deflection with increments not exceeding 2.5mm up to the failure. The specimens were instrumented with hydraulic jacks, LVDTs, dial

    gauges and strain gauges to monitor the behavior during testing. Lateral loading, at deflection

    increments of 2.5 mm was applied in a cyclic manner by means of hydraulic jacks having a

    capacity of 100 kN and 200 kN for downward and upward loading respectively. It was

    applied at a distance of 100 mm from the free end of the beam until failure of the specimens.

    One dial gauge was placed at the loading point of beam to control deflection at the point of

    application of load. Electrical resistance strain gauges were pasted on the reinforcement in

    order to measure strains. The specimens were evaluated in terms of ultimate load carrying

    capacity, load displacement relationship, and energy dissipation characteristics.

    Figure 4: Test Setup in the Laboratory

    3.2 Crack Pattern and Failure Mode

    The crack patterns in different specimens are shown in Fig. 5. For specimen C1 and C2, the

    initial diagonal and column beam interface hairline cracks occurred in the third cycle of

    loading in positive direction and fifth cycle of loading in negative direction. For specimen C2,further cracks were developed at the column beam interface only after sixth cycle in both

    positive and negative direction. However, in specimen C3, the cracks in the joint at diagonal

    direction started after third cycle of loading in positive direction and fifth cycle of loading in

    negative direction. The specimen C2 failed due to the advancement of crack width at the

    interface between column and beam. Among the specimens, C2 specimen which was

    additionally detailed with collar stirrups and beam reinforcements exhibited the best

    performance. For this specimen, no major cracks were noticed at the joint and the joint

  • 5/26/2018 Seismic Resistance of Beam Column Using Diagonal Stirrup

    Seismic Resistance of Exterior Beam Column Joint with Diagonal Collar StirrupsBindhu K.R, Sreekumar K.J

    International Journal of Civil and Structural Engineering

    Volume 2 Issue 1 2011

    166

    remained intact through out the test. Hence the failure was dominated by tensile failure than

    the joint failure. The improvement of performance by developing further cracks away from

    the joint face to the beam region can be noticed for the specimen with collar stirrups. The

    crack width is also less for this specimen compared to other specimens.The specimen C3 and

    C4 without collar stirrups have diagonal cracks at the beam-column joint region. This may be

    due to the higher flexural capacity of beam compared to the column.

    Figure 5: Crack Patterns of Different Specimens

    3.3 Ultimate Load Carrying Capacity of Specimens

    The ultimate load carrying capacities of all the specimens were observed and Fig.6 shows the

    comparison of the same. For the specimen C1 detailed as per IS 13920: 1993, the ultimate

    load is 38 kN. But for the specimen C2 detailed as per IS 13920: 1993 with collar stirrups and

    additional beam reinforcements, the ultimate load is 72 kN. Incase of the specimen C3

  • 5/26/2018 Seismic Resistance of Beam Column Using Diagonal Stirrup

    Seismic Resistance of Exterior Beam Column Joint with Diagonal Collar StirrupsBindhu K.R, Sreekumar K.J

    International Journal of Civil and Structural Engineering

    Volume 2 Issue 1 2011

    167

    detailed without collar stirrups at joint but with additional beam reinforcements, the ultimate

    load reached is 65 kN.

    0

    10

    20

    30

    40

    50

    60

    70

    80

    C1 C2 C3 C4

    Specimens

    L

    oad

    in

    K

    N

    Figure 6: Comparison of Ultimate Load Carrying Capacity of Different Specimens

    Similarly for the specimen C4 which is similar to C1 but with increased spacing of ties in

    joints, ultimate load reached is 35 kN. These results show the effectiveness of the diagonal

    collar stirrups with additional beam reinforcement in the enhancement of ultimate load

    carrying capacity.

    3.4 Hysteretic Loops

    The hysteretic loops of the load displacement relationship for the four specimens tested in

    the laboratory are shown in Fig. 7 through Fig.10. It is observed that the specimen C2 with

  • 5/26/2018 Seismic Resistance of Beam Column Using Diagonal Stirrup

    Seismic Resistance of Exterior Beam Column Joint with Diagonal Collar StirrupsBindhu K.R, Sreekumar K.J

    International Journal of Civil and Structural Engineering

    Volume 2 Issue 1 2011

    168

    -20.00

    0.00

    20.00

    40.00

    60.00

    80.00

    100.00

    -25 -20 -15 -10 -5 0 5 10 15 20 25

    Deflection in mm

    LoadinkN

    Figure 7: Load-Displacement Hysterisis Loop for Specimen C1

    -20.00

    0.00

    20.00

    40.00

    60.00

    80.00

    100.00

    -25 -20 -15 -10 -5 0 5 10 15 20 25

    Deflection in mm

    LoadinkN

    Figure 8: Load-Displacement Hysterisis Loop for Specimen C2

  • 5/26/2018 Seismic Resistance of Beam Column Using Diagonal Stirrup

    Seismic Resistance of Exterior Beam Column Joint with Diagonal Collar StirrupsBindhu K.R, Sreekumar K.J

    International Journal of Civil and Structural Engineering

    Volume 2 Issue 1 2011

    169

    -20.00

    0.00

    20.00

    40.00

    60.00

    80.00

    100.00

    -25 -20 -15 -10 -5 0 5 10 15 20 25

    Deflection in mm

    LoadinkN

    Figure 9: Load-Displacement Hysterisis Loop for Specimen C3

    -20.00

    0.00

    20.00

    40.00

    60.00

    80.00

    100.00

    -25 -20 -15 -10 -5 0 5 10 15 20 25

    Deflection in mm

    Loadink

    Figure 10: Load-Displacement Hysterisis Loop for Specimen C4

    additional beam reinforcement and diagonal collar stirrups developed better hysteretic loops

    with higher curve area compared with other specimens. The performance of the specimen C2

    over the specimen C3 shows the enhanced strength and behaviour of joints with diagonalcollar stirrups.

    3.5 Ductility

    The displacement ductility factor is the ratio of the maximum deformation that an element

    can undergo without significant loss of initial yield resistance to the initial yield deformation

    (Park and Paulay 1975). Fig. 11 through Fig.14 shows the lateral load displacement envelope

  • 5/26/2018 Seismic Resistance of Beam Column Using Diagonal Stirrup

    Seismic Resistance of Exterior Beam Column Joint with Diagonal Collar StirrupsBindhu K.R, Sreekumar K.J

    International Journal of Civil and Structural Engineering

    Volume 2 Issue 1 2011

    170

    curves of all the specimens. Table 1 gives the experimental results of ductility factor. It can

    be seen that the specimen C2 detailed with diagonal collar stirrups at joint and additional

    beam reinforcements had more ductility than that detailed without collar stirrups.

    -20.00

    -10.00

    0.00

    10.00

    20.00

    30.00

    40.00

    50.00

    60.00

    70.00

    80.00

    -25.00 -20.00 -15.00 -10.00 -5.00 0.00 5.00 10.00 15.00 20.00 25.00

    Defflection in mm

    LoadinkN

    Figure 11: Load Displacement Envelope for C1

    -20.00

    -10.00

    0.00

    10.00

    20.00

    30.00

    40.00

    50.00

    60.00

    70.00

    80.00

    -25.00 -20.00 -15.00 -10.00 -5.00 0.00 5.00 10.00 15.00 20.00 25.00

    Deflection in mm

    LoadinkN

    Figure 12: Load-Displacement Envelope for C2

  • 5/26/2018 Seismic Resistance of Beam Column Using Diagonal Stirrup

    Seismic Resistance of Exterior Beam Column Joint with Diagonal Collar StirrupsBindhu K.R, Sreekumar K.J

    International Journal of Civil and Structural Engineering

    Volume 2 Issue 1 2011

    171

    -20.00

    -10.00

    0.00

    10.00

    20.00

    30.00

    40.00

    50.00

    60.00

    70.00

    80.00

    -25.00 -20.00 -15.00 -10.00 -5.00 0.00 5.00 10.00 15.00 20.00 25.00

    Deflection in mm

    Load

    in

    kN

    Figure 13: Load-Displacement Envelope for C3

    -20.00

    -10.00

    0.00

    10.00

    20.00

    30.00

    40.00

    50.00

    60.00

    70.00

    80.00

    -25.000 -20.000 -15.000 -10.000 -5.000 0.000 5.000 10.000 15.000 20.000 25.000

    Deflection in mm

    loadinkN

  • 5/26/2018 Seismic Resistance of Beam Column Using Diagonal Stirrup

    Seismic Resistance of Exterior Beam Column Joint with Diagonal Collar StirrupsBindhu K.R, Sreekumar K.J

    International Journal of Civil and Structural Engineering

    Volume 2 Issue 1 2011

    172

    Figure 14: Load-Displacement Envelope for C4

    Table 1: Displacement Ductility of Test Specimens

    Displacement in mm

    Yield Ultimate

    Displacement

    ductilitySpecime

    n +

    direction

    -

    direction

    +

    directio

    n

    -

    directio

    n

    +

    directio

    n

    -

    directio

    n

    Average

    displace

    ment

    ductility

    C1 7.50 5.00 17.50 17.50 2.33 3.50 2.92

    C2 5.00 5.00 22.5 22.50 4.50 4.50 4.50

    C3 7.50 7.50 22.50 17.50 3.00 3.50 3.25

    C4 5.00 5.00 15.00 17.50 3.00 3.50 3.25

    4. Energy Dissipation Capacity

    Structures with high energy dissipation characteristics are able to withstand stronger shaking

    and better seismic response. The amount of energy dissipated during a particular loading

    cycle is calculated as the area enclosed by the corresponding load versus displacement

    hysteretic loop (Paulay et al. 1978). The cumulative energy dissipated is given in Table 2.

    Table 2: Cumulative Energy Dissipation for Various Specimens

    Sl

    No.Specimen designation

    Energy dissipation

    (kN-mm)

    1 C1 922.16

    2 C2 1187.73

    3 C3 974.43

    4 C4 864.25

    Fig. 15 shows the energy dissipation capacity versus number of cycles. It can be seen that, in

    the first four cycles, the specimens do not have greater energy dissipation. However, in the

    final cycles, the specimens have greater dissipated energy. The reason is that higher lateral

    load produces greater area (dissipated energy) bounded by the load displacement curve. It is

    clearly observed that the specimen detailed with diagonal collar stirrups and additional beam

    reinforcements had more energy dissipation capacity than the others.

  • 5/26/2018 Seismic Resistance of Beam Column Using Diagonal Stirrup

    Seismic Resistance of Exterior Beam Column Joint with Diagonal Collar StirrupsBindhu K.R, Sreekumar K.J

    International Journal of Civil and Structural Engineering

    Volume 2 Issue 1 2011

    173

    0

    50

    100

    150

    200

    250

    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

    No.of cycles

    Energydissipationcapacityin

    kN-mm

    C1 C2 C3 C4

    Figure 15: Comparison of Energy Dissipation in Each Cycle of All Specimens

    5. Conclusions

    Seismic performance of reinforced concrete moment resisting framed structures mainly

    depends upon the inelastic behaviour of joints. Based on the experimental investigation

    conducted on exterior beam-column joint under static reverse cyclic loading, the following

    conclusions are drawn.

    The load carrying capacity of the specimen additionally reinforced with beam and

    diagonal collar stirrups (C2) is nearly 98 % higher than the specimen detailed as per IS13920(C1) and 10 % more than the specimen with additional beam reinforcements (C3).

    Also the specimen detailed with increased spacing of ties at joints gave unfavorableresults; i.e., a reduction of 10 % with regard to load carrying capacity (C4).

    Ductility of the specimen additionally detailed with diagonal collar stirrups and beam

    reinforcements is compared and found that it is 54 % higher than that of the specimen

    detailed as per IS 13920: 1993without collar stirrups, and 5 % higher than specimen

    detailed as per IS 13920, but having additional beam reinforcement.

    Energy dissipation capacity of the specimen detailed additionally with diagonal collar

    stirrups and beam reinforcements is observed to be 22.36 % higher than that of thespecimen detailed as per IS: 13920: 1993.

    Acknowledgements

    The research presented in this paper has been supported through a project entitled A study of

    strengthening of joints in multistory RC structures subjected to seismic loading awarded to

  • 5/26/2018 Seismic Resistance of Beam Column Using Diagonal Stirrup

    Seismic Resistance of Exterior Beam Column Joint with Diagonal Collar StirrupsBindhu K.R, Sreekumar K.J

    International Journal of Civil and Structural Engineering

    Volume 2 Issue 1 2011

    174

    College of Engineering, Trivandrum by All India Council for Technical Education through

    research promotion scheme. The authors gratefully acknowledge the AICTE for the same.

    6. References

    1.

    Asha, P and Sundararajan, R., (2006), Evaluation of seismic resistance of exteriorbeam-column joints with detailing as per IS 13920: 1993, Indian Concrete Journal,

    33(1), pp. 29-34.

    2. Bindhu, K.R., Jaya, K.P. and Manicka Selvam, V.K., (2008), Seismic resistance of

    Exterior beam-column joints with non-conventional confinement reinforcement

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    3. Bindhu, K.R., Jaya, K.P. and Manicka Selvam, V.K., (2009a), Behaviour and

    strength of exterior joint sub assemblage subjected to reversal loadings, Indian

    Concrete Journal, 83 (11), pp.9-20.

    4. Bindhu, K.R., Sukumar, P.M and Jaya, K.P., (2009b), Performance of Exterior

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    5. Durrani, A.J. and Wight, J.K., (1985), Behavior of Interior Beam-to-Column

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    6. Ingle, R.K. and Jain, S.K., (2005), Explanatory examples for ductile detailing of R.C

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    7. IS 13920:1993, Indian Standard Ductile Detailing of Reinforced Concrete Structures

    subjected to Seismic forces, Bureau of Indian Standards, New Delhi, India.

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    10.Jain, S.K. and Murty, C.V.R. (2005a), Proposed Draft Provisions and Commentary

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    12.Murty, C.V.R., Durgesh, C.R., Bajpai, K.K. and Sudhir, K.J., (2001), Anchorage

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    14.Park, R. and Paulay, T., (1975), Reinforced Concrete Structures, John Wiley and

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    Seismic Resistance of Exterior Beam Column Joint with Diagonal Collar StirrupsBindhu K.R, Sreekumar K.J

    International Journal of Civil and Structural Engineering

    Volume 2 Issue 1 2011

    175

    15.Paulay, T., Park, R. and Priestley, M.J.N., (1978), Reinforced Concrete Beam-

    Column Joints under Seismic Actions, ACI structural journal, 75(11), pp.585-593.

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    17.Tsonos, A.G., Tegos, I.G and Penelis, G.Gr., (1992), Seismic Resistance of Type 2

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    19.Tsonos, A.G., (2007), Cyclic Load Behavior of Reinforced Concrete Beam-Column

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