Seismic Retrofitting of RC Building by Using Different Bracing Systems

DOI : 10.17577/IJERTV2IS70715

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Seismic Retrofitting of RC Building by Using Different Bracing Systems

S. I. Khan, Prof. P. O. Modani 1(Department of Civil Engineering, B.N.C.O.E, Pusad

2(Assist. Professor Department of Civil Engineering, B.N.C.O.E, Pusad

ABSTRACT

The Buildings, which appeared to be strong enough, may crumble like houses of cards during earthquake and deficiencies may be exposed. Experience gain from the recent earthquake of Bhuj, 2001 demonstrates that the most of buildings collapsed were found deficient to meet out the requirements of the present day codes. In last decade, four devastating earthquakes of world have been occurred in India, and low to mild intensities earthquakes are shaking our land frequently. It has raised the questions about the adequacy of framed structures to resist strong motions, since many buildings suffered great damage or collapsed. Under such circumstances, seismic qualification of existing buildings has become extremely important. Seismic qualification eventually leads to retrofitting of the deficient structures

A nonlinear static pushover analysis using the displacement coefficient method, as described in FEMA 356 is carried out on an existing hostel building in Babasaheb Naik College of Engineering, Pusad. Built in 1987, the subject hostel building is a four-story, rectangular structure.

  1. INTRODUCTION

      1. General

        A large number of existing buildings in India are severely deficient against earthquake forces and the number of such buildings is growing very rapidly. This has been highlighted in the past earthquake. Retrofitting of any existing building is a complex task and requires skill, retrofitting of RC buildings is particularly challenging due to complex behavior of the RC composite material. The behavior of the buildings during earthquake depends not only on the size of the members and amount of reinforcement, but to a great extent on the placing and detailing of the reinforcement. There are three sources of

        deficiencies in a building, which have to be accounted for by the retrofitting engineer:

        1. Inadequate design and detailing

        2. Degradation of material with time and use

        3. Damage due to earthquake or other catastrophe.

          The three sources, suggest a retrofit scheme to make up for the deficiencies and demonstrate that the retrofitted structure will be able to safely resist the future earthquake forces expected during the lifetime of the structure. In particular, the seismic rehabilitation of older concrete structures in high seismicity areas is a matter of growing concern, since structures vulnerable to damage must be identified and an acceptable level of safety must be determined [1].

          Thus, the structural engineering community has developed a new generation of design and seismic procedures that incorporate performance based structures and is moving away from simplified linear elastic methods and towards a more non-linear technique. Recent interests in the development of performance based codes for the design or rehabilitation of buildings in seismic active areas show that an inelastic procedure commonly referred to as the pushover analysis is a viable method to assess damage vulnerability of buildings. Basically, a pushover analysis is a series of incremental static analysis carried out to develop a capacity curve for the building. Based on the capacity curve, a target displacement which is an estimate of the displacement that the design earthquake will produce on the building is determined. The extent of damage experienced by the structure at this target displacement is considered representative of the damage experienced by the building when subjected to design level ground shaking. Many methods were presented to apply the nonlinear static pushover (NSP) to structures. These methods can be listed as:

          1. Capacity Spectrum Method (CSM) (ATC)

          2. Displacement Coefficient Method (DCM) (FEMA-356)

          3. Modal Pushover Analysis (MPA).

          The approach has been developed by many researchers with minor variation in computation procedure. Since the behavior of reinforced concrete structures may be highly inelastic under seismic loads, the global inelastic performance of RC structures will be dominated by plastic yielding effects and consequently the accuracy of the pushover analysis will be influenced by the ability of the analytical models to capture these effects. In general, analytical models for the pushover analysis of frame structures may be divided into two main types: (1) distributed plasticity (plastic zone) and (2) concentrated plasticity (plastic hinge). Although the plastic hinge approach is simpler than the plastic zone, this method is limited to its incapacity to capture the more complex member behavior that involve severe yielding under the combined actions of compression and bi-axial bending and buckling effects [1].

      2. Seismic Retrofitting.

    All buildings those are constructed, before the modern regulations came up for the design of buildings in seismic areas, those which are constructed before thirty years or those constructed recently but not properly designed, constructed or maintained can be considered as a possible candidates for retrofitting. These buildings may be damaged by earthquake action. It is not always possible to strengthen the existing buildings to the level corresponding to modern seismic codes due to economic reasons. The building should be retrofitted to achieve the required performance level. Although engineering safety is the prime criterion, other criteria such as social, cultural, financial, historical, artistic, and political should also be considered [13].

    d) Designers lack understanding of the seismic behavior of the structures.

    Indian buildings built over the past two decades are deficient because of items (b), (c) and (d) above. The last revision of the Indian seismic code in 1987 IS 1893 (1984) is deficient from many points of view, and engineering knowledge has advanced significantly from what was used. Also the seismic design was not practiced in most buildings being built [2].

  2. OBJECTIVES OF THE PROJECT

    1. To analyse the response of existing RC building subjected to seismic loading by pushover analysis using SAP2000.

    2. To suggest a retrofit scheme to existing RC building as per seismic analysis.

    3. To identify the suitable retrofitting technique for resisting the seismic loads efficiently and effectively.

    4. To compare response of conventional rc building and the building having energy dissipating devices subjected to seismic loads.

  3. MODELING AND ANALYSIS OF BUILDING.

      1. Modeling and Analysis of Building.

        Existing building can become seismically deficient

        when

        1. Seismic design code requirements are up graded since the design of these buildings is with an older version of the code,

        2. Seismic design codes used in their design are deficient,

        3. Engineering knowledge makes advances rendering insufficient the previous understanding used in their design, and

        Fig. 4.1 Elevation of Building

        Fig 4.2 Plan of building

        Fig 4.3 Elevation of X Braced Building

        Fig 4.5 Elevation of Inclined Tensile Braced Building

        Fig 4.6 Elevation of Inclined Compression Braced Building

      2. Building Description

    1. Zone V

    2. Zone factor 0.36

      Response reduction

    3. factor 5

      Fig 4.4 Elevation of Inverted V Braced Building

    4. Important factor 1

    5. Soil condition Medium

    6. Height of building 12.50 m

    7. Wall thickness

      External 230 mm

      Internal 115 mm

      Weight density of

    8. Brick

      Masonry

      Weight density of RC

      20 kN/m3

    9. material 25 kN/m3

    10. Thickness of slab 120 mm

      0

      0

      50

      50

      100 150 200 250

      100 150 200 250

    11. Floor to floor height 3.5 m

      7000

      6000

      5000

      4000

      3000

      2000

      1000

      0

      7000

      6000

      5000

      4000

      3000

      2000

      1000

      0

      Plinth height above

    12. ground level

      2.0 m

    13. Size of columns 230 mm x 450 mm

    14. Size of beams 230 mm x 400 mm

    15. Size of brace ISMC 250 X- bracing

      Fig. 5.1 Pushover Curve of an Existing Building in X direction

    16. Type of bracing system

    Inverted V bracing Inclined bracing

    1. Grade of steel Fe-415

    2. Grade of concrete M20

    3. Floor finish 1.0 kN/m2

    4. Imposed load 4.0 kN/m2

    1. RESULTS AND DISCUSSION

      1. General

        In the present study, non-linear response of existing RC frame building using SAP 2000 under the loading has been carried out. The objective of this study is to see the variation of load-displacement graph and check the maximum base shear and displacement of the frame.

        After running the analysis, the pushover curve is obtained as shown in figures.

        A table also obtain which gives the coordinates of each step of the pushover curve and summarizes the number of hinges in each state (for example, between IO, LS, CP or between D and E). This data is shown in following table.

        Fig. 5.2 Capacity Spectrum Curve of an Existing Building in X direction

        Table 5.1 Tabular data for pushover curve in X direction

        Steps

        Displaceme nt (mm)

        Base Force (KN)

        A to B

        B to IO

        IO to LS

        LS to CP

        CP to C

        C to D

        D to E

        Beyond E

        Total

        0

        0

        0

        1164

        0

        0

        0

        0

        0

        0

        0

        1164

        1

        12

        2897

        1164

        0

        0

        0

        0

        0

        0

        0

        1164

        2

        22

        4724

        986

        178

        0

        0

        0

        0

        0

        0

        1164

        3

        26

        5244

        837

        327

        0

        0

        0

        0

        0

        0

        1164

        4

        35

        5579

        714

        450

        0

        0

        0

        0

        0

        0

        1164

        5

        97

        6373

        532

        357

        275

        0

        0

        0

        0

        0

        1164

        6

        104

        6417

        476

        406

        282

        0

        0

        0

        0

        0

        1164

        7

        189

        6637

        444

        83

        435

        201

        0

        1

        0

        0

        1164

        8

        189

        6573

        449

        77

        436

        201

        0

        0

        1

        0

        1164

        9

        189

        6593

        451

        81

        428

        203

        0

        0

        1

        0

        1164

        10

        189

        6599

        438

        82

        436

        207

        0

        0

        1

        0

        1164

        11

        189

        6602

        437

        82

        427

        217

        0

        0

        1

        0

        1164

        12

        192

        6611

        445

        77

        420

        220

        1

        0

        1

        0

        1164

        13

        192

        6556

        445

        78

        421

        218

        0

        0

        2

        0

        1164

        14

        192

        6589

        445

        78

        421

        218

        0

        0

        2

        0

        1164

        15

        192

        6602

        445

        78

        421

        218

        0

        0

        2

        0

        1164

        16

        200

        6625

        443

        79

        422

        218

        0

        0

        2

        0

        1164

        17

        200

        6575

        422

        80

        411

        247

        0

        0

        4

        0

        1164

        After Pushover analysis hinges formation in each stage of a building are calculated, also from fig.5.2 it is obvious that the demand curve tend to intersect the capacity curve near the event point, which means an elastic response and the security margin is greatly enhanced. Therefore, it can be concluded that the margin safety against collapse is high and there are sufficient strength and displacement reserves.

        To improve the seismic performance of existing building, different bracing systems are proposed and the analysis is carried out for existing building with different combinations of bracing systems. The analysis results are demonstrated with the help of figures and charts. Finally, the comparative study is carried out based on different parameters such as lateral displacement, base shear.

        After running the analysis of building with different bracing combinations, the pushover curve is obtained as shown in figure 5.3 to 5.9. Tables also obtain which gives the coordinates of each step of the pushover curve.

      2. Pushover Curve of Building With Different Bracing System:

        Base Force (KN)

        Base Force (KN)

        10000

        8000

        6000

        4000

        2000

        0

        0 10 20 30 40 50

        Displacement (mm)

        Fig. 5.3 Pushover Curve of X-Braced Building in X direction

        10000

        8000

        6000

        4000

        2000

        0

        10000

        8000

        6000

        4000

        2000

        0

        0

        10 20 30 40 50

        0

        10 20 30 40 50

        Displacement (mm)

        Displacement (mm)

        Base Force (KN)

        Base Force (KN)

        Base Force (KN)

        Base Force (KN)

        Fig. 5.4 Pushover Curve of Inverted V-Braced Building in X direction

        10000

        8000

        6000

        4000

        2000

        0

        10000

        8000

        6000

        4000

        2000

        0

        0

        10

        20

        30

        40

        50

        0

        10

        20

        30

        40

        50

        Displacement (mm)

        Displacement (mm)

        Fig. 5.5 Pushover Curve of Inclined Compression Braced Building in X direction

        10000

      3. Capacity Spectrum Curve of Building With Different Bracing Systems:

        Fig. 5.7 Capacity Spectrum Curve of X-Braced Building in X direction

        Fig. 5.8 Capacity Spectrum Curve of Inverted V-Braced Building in X direction

        Base Force (KN)

        Base Force (KN)

        8000

        6000

        4000

        2000

        0

        0 10 20 30 40 50

        Displacement (mm)

        Fig. 5.6 Pushover Curve of Inclined Tensile Braced Building in X direction

        Fig. 5.9 Capacity Spectrum Curve of Inclined-Braced Building in X direction

        Table 5.2 Tabular data for pushover curve of X-braced building in X direction

        Steps

        Displaceme nt (mm)

        Base Force (KN)

        A to B

        B to IO

        IO to LS

        LS to CP

        CP to C

        C to D

        D to E

        Beyond E

        Total

        0

        0

        0

        1164

        0

        0

        0

        0

        0

        0

        0

        1164

        1

        1

        4611

        1162

        2

        0

        0

        0

        0

        0

        0

        1164

        2

        2

        7537

        1030

        134

        0

        0

        0

        0

        0

        0

        1164

        3

        2

        7761

        966

        198

        0

        0

        0

        0

        0

        0

        1164

        4

        3

        7951

        943

        221

        0

        0

        0

        0

        0

        0

        1164

        5

        4

        8096

        924

        240

        0

        0

        0

        0

        0

        0

        1164

        6

        4

        8113

        915

        249

        0

        0

        0

        0

        0

        0

        1164

        7

        4

        8172

        910

        254

        0

        0

        0

        0

        0

        0

        1164

        8

        7

        8284

        908

        256

        0

        0

        0

        0

        0

        0

        1164

        9

        36

        8933

        891

        83

        0

        185

        0

        5

        0

        0

        1164

        10

        36

        8470

        887

        87

        0

        179

        0

        0

        11

        0

        1164

        Table 5.3 Tabular data for pushover curve of inverted V braced building in X direction

        Steps

        Displace ment (mm)

        Base Force (KN)

        A to B

        B to IO

        IO to LS

        LS to CP

        CP to C

        C to D

        D to E

        Beyond E

        Total

        0

        0

        0

        1164

        0

        0

        0

        0

        0

        0

        0

        1164

        1

        1

        4466

        1162

        2

        0

        0

        0

        0

        0

        0

        1164

        2

        2

        7417

        1020

        144

        0

        0

        0

        0

        0

        0

        1164

        3

        3

        7643

        940

        224

        0

        0

        0

        0

        0

        0

        1164

        4

        4

        7961

        904

        260

        0

        0

        0

        0

        0

        0

        1164

        5

        5

        8055

        893

        271

        0

        0

        0

        0

        0

        0

        1164

        6

        7

        8123

        884

        280

        0

        0

        0

        0

        0

        0

        1164

        7

        36

        8774

        849

        125

        0

        185

        0

        5

        0

        0

        1164

        8

        37

        8330

        848

        126

        0

        168

        0

        0

        22

        0

        1164

        Table 5.4 Tabular data for pushover curve of inclined compression braced building in X direction.

        Steps

        Displace ment (mm)

        Base Force (KN)

        A to B

        B to IO

        IO to LS

        LS to CP

        CP to C

        C to D

        D to E

        Beyond E

        Total

        0

        0

        0

        1164

        0

        0

        0

        0

        0

        0

        0

        1164

        1

        4

        4347

        1162

        2

        0

        0

        0

        0

        0

        0

        1164

        2

        8

        7414

        985

        179

        0

        0

        0

        0

        0

        0

        1164

        3

        9

        7708

        917

        247

        0

        0

        0

        0

        0

        0

        1164

        4

        11

        8011

        892

        272

        0

        0

        0

        0

        0

        0

        1164

        5

        11

        8089

        874

        290

        0

        0

        0

        0

        0

        0

        1164

        6

        13

        8140

        865

        299

        0

        0

        0

        0

        0

        0

        1164

        7

        43

        8811

        838

        136

        0

        184

        0

        6

        0

        0

        1164

        8

        42

        8523

        836

        137

        0

        175

        0

        2

        14

        0

        1164

        Table 5.5 Tabular data for pushover curve of inclined tensile braced building in X direction.

        Steps

        Displace ment (mm)

        Base Force (KN)

        A to B

        B to IO

        IO to LS

        LS to CP

        CP to C

        C to D

        D to E

        Beyond E

        Total

        0

        0

        0

        1164

        0

        0

        0

        0

        0

        0

        0

        1164

        1

        4

        4547

        1162

        2

        0

        0

        0

        0

        0

        0

        1164

        2

        6

        7101

        982

        182

        0

        0

        0

        0

        0

        0

        1164

        3

        7

        7750

        923

        241

        0

        0

        0

        0

        0

        0

        1164

        4

        8

        8011

        866

        298

        0

        0

        0

        0

        0

        0

        1164

        5

        9

        8089

        870

        294

        0

        0

        0

        0

        0

        0

        1164

        6

        11

        8201

        863

        301

        0

        0

        0

        0

        0

        0

        1164

        7

        41

        8799

        827

        139

        0

        190

        0

        8

        0

        0

        1164

        8

        40

        8896

        824

        145

        0

        176

        0

        3

        16

        0

        1164

        After Pushover analysis of different braced systems building, hinges formation in each stage of a building are calculated, from table 5.1 it can been seen that total number of yielding occurs in building without bracing in X direction at event B, IO, LS, and E respectively is 742 while from table 5.3 to 5.6 it can be seen that total number of yielding occurs in building with X-bracing, inverted V bracing, and inclined bracing in X direction is 277, 316, 328 and 340 respectively. Also from fig.5.9 and fig. 5.10 it is obvious that the demand curve is not intersecting the capacity curve which mean building is safe against collapse.

      4. Plastic Hinges Mechanism.

        Plastic hinge formation for the without braced building and building with different braced systems have been obtained at different displacement levels. The hinging patterns are plotted in figures 5.10, 5.11, 5.12 and 5.13. From figure 5.10 it can be seen that the plastic hinges formation starts with beam ends and base columns of lower stories, then propagates to upper stories and continue with yielding of interior intermediate columns in the upper stories.

        Comparison of the figures 5.11, 5.12 and 5.13 reveals that the patterns of plastic hinge formation for the different braced building are quite similar. But since yielding occurs at events B, IO and LS respectively, the amount of damage in the three buildings will be limited

        Fig. 5.10 Hinges Pattern of Without Braced Building at Different Pushover Steps

        Fig. 5.11 Hinges Pattern of X-Braced Building at Different Pushover Steps

        Fig. 5.12 Hinges Pattern of Inverted V Braced Building at Different Pushover Steps

        Fig. 5.13 Hinges Pattern of Inclined Braced Building at Different Pushover Steps

        From figure 5.11 to figure 5.13 it can be seen that maximum plastic hinges are forming at the base storey because due to practical difficulty bracing cannot be provided below the ground level. Though the base force is increasing.

      5. Lateral Displacement:-

        The graphs are plotted taking pushover steps as the abscissa and displacement as ordinate for different bracing systems.

        5.5.1 Comparison of displacement at various pushover steps of without braced building and building with different bracing system. The graphs for ISMC 250 are plotted in X direction as shown in fig. 5.17

        From fig. 5.17 it can be seen that lateral displacement in braced buildings with bracing section ISMC 250 are reduced as compared to the without braced building in X direction.

        250

        Displacement (mm)

        Displacement (mm)

        200

        150

        100

        50

        0

        0 4 8 12 16 20

        Pushover Steps

        Displacement (mm) Without Bracing

        Displacement (mm) X-Bracin

        Displacement (mm) Inverted V

        Displacement (mm) Inclined Compression

        have been observed in the first and second floors. Minor damage has been observed at roof level.

        1. The behavior of properly detailed reinforced concrete frame building is adequate as indicated by the intersection of the demand and capacity curves and the distribution of hinges in the beams and the columns. Most of the hinges developed in the beams and few in the columns.

        2. The results obtained in terms of demand, capacity and plastic hinges gave an insight into the real behavior of structures.

        3. It is observed that inherent deficiencies in the detailing of the beam-column joints get reflected even after providing bracing systems in Y- direction, though the performance factors indicate significant improvement. There is a need to evolve suitable performance factors when the system shows a negative stiffness.

        Fig. 5.11 Displacement of Floor at Various Steps in X-

        Direction

        The displacement at last step at the top storey reduces by 82.17%, 81.7%, 78.76% and 79.79 for X bracing, inverted V bracing, inclined compression bracing and inclined tensile bracing respectively in X direction.

    2. CONCLUSION

  1. Introduction

    For buildings that needed to be rehabilitated, it is easy to investigate the effect of different strengthening and retrofitting schemes. By using pushover analysis we can select the suitable strengthening and retrofitting schemes by changing member properties of weaker sections and carrying out the analysis again. For retrofitting pushover analysis provides better and economical solution as compared to other methods. The results of present study demonstrate that most of the plastic hinges are forming within beam element. In that case, we can restrengthen the structure by providing X-bracing systems which provides an excellent mechanism for energy dissipation.

    Conclusion

    Based on analysis results following conclusion are drawn

    1. The joints of the structure have displayed rapid degradation and the inter storey deflections have increased rapidly in non- linear zone in structure without bracings. Severe damages have occurred at joints at lower floors whereas moderate damages

  1. The floor displacement is maximum for without braced building frame as compared to braced building frame. In the braced building frame, floor displacement is minimum for X bracing, and nearly same for inclined bracing and inverted V bracing.

  2. From above discussion it is concluded that in inclined bracing system deflection is nearly same as that of X-bracing and inverted V bracing and base shear is also nearly same, so from economic point of view we can provide inclined bracing system to the structure to resist the seismic forces without compromising with strength and stiffness of the structure.

REFERENCES

  1. V.S.R. Pavan Kumar.Rayaprolu, P. Polu Raju, Incorporation of Various Seismic Retrofitting Techniques and Materials for RC Framed Building Using SAP2000, International Journal of Emerging trends in Engineering and Development ISSN 2249- 6149 Issue 2,Vol.3 (April-2012)

  2. Murty C.V.R. (2002). Quantitative approach to seismic strengthening of RC frame buildings, Seminar on seismic assessment and retrofitting of buildings at mumbai, 16th Feb 2002

  3. W. Huang, L.A. Toranzo-Dianderas, A Case Study Of Performance-Based Seismic Evaluation And Retrofit Of An Existing Hospital Building In California, U.S, The 14thWorld Conference on Earthquake Engineering October12-17, 2008, Beijing, China.

  4. Giuseppe Oliveto and Massimo Marletta, Seismic Retrofitting Of Reinforced Concrete Buildings Using Traditional And Innovative Techniques, ISET Journal of Earthquake Technology, Paper No. 454, Vol. 42, No. 2-3, June-September 2005, pp. 21-46

  5. Ghobarah, Rehabilitation of a Reinforced Concrete Frame Using Eccentric Steel Bracing, Engineering Structures Volume. 23 Pages 745755, 2001.

  6. Keiji Kitajima, Hideaki Chikui, Hideaki Ageta and Hajime Yokouchi, Application To Response Control Retrofit Method By Means Of External Damping Braces Using Friction Dampers, 13th World Conference on Earthquake Engineering Vancouver, B.C., Canada August 1-6, 2004 Paper No. 2112

  7. Mitsukazu Nakanishi and Hiromi Adachi, Pseudo- Dynamic Test On An Existing R/C School Building Retrofitted With Friction Dampers, 13th World Conference on Earthquake Engineering Vancouver, B.C., Canada August 1-6, 2004 Paper No. 2112

  8. N. Lakshmanan, Seismic Evaluation And Retrofitting Of Buildings And Structures, ISET Journal of Earthquake Technology, Paper No. 469, Vol. 43, No. 1-2, March-June 2006, pp. 31-48

  9. CERONI. Francesca, MANFREDI Gaetano, Maria Rosaria PECCE. A formulation of plastic hinge length in R.C. Columns. Department of Engineering, University of Sannio. Department of Analysis and Structural Design, University of Naples Federico II. 17 May 2007.

  10. X.-K. Zou, C.-M. Chan. Optimal seismic performance- based design of reinforced concrete buildings using nonlinear pushover analysis. Department of Civil Engineering, Hong Kong University of Science and Technology, Kowloon, Hong Kong, China. May 2005.

  11. Cosenza, E., Greco, C., Manfredi, G. An equivalent steel index in the assessment of the ductility performances of the reinforcement. Ductility- Reinforcement, Comitè Euro- International du Béton, Bulletin N°242: 157-170, 1998.

  12. A. Shuraim, A. Charif. Performance of pushover procedure in evaluating the seismic adequacy of reinforced concrete frames. King Saud University ashuraim@gmail.com.(2007)

  13. Collins K. R. (1995). A reliability based dual level seismic design procedure for building structures, Earthquake spectra, Vol. 11 No. 3, August.

  14. Sermin Oguz. A thesis on EVALUATION OF PUSHOVER ANALYSIS PROCEDURES FOR FRAME STRUCTURES, April, 2005.

  15. Fib Bulletin of TG7.2 (in press). Displacement-based design and assessment, (2003).

  16. ATC (1996). Seismic Evaluation and Retrofit of Concrete Buildings, Volume 1, ATC 40 Report, Applied Technology Council, Redwood City, California.

  17. FEMA (1997). NEHRP Guidelines for the Seismic Rehabilitation of Buildings, Developed by the Building Seismic Safety Council for the Federal Emergency Management Agency (Report No. FEMA 273), Washington, D.C)

  18. IS: 1893 (Part1): 2002. Criteria for earthquake resistant design of structure Bureau of Indian Standards, New Delhi.

  19. IS: 456 (2000) Indian standard code of practice for plain reinforced concrete Bureau of Indian standards, New Delhi.

  20. P. Poluraju, Pushover Analysis Of Reinforced Concrete Frame Structure Using SAP 2000, International Journal of Earth Sciences and Engineering ISSN 0974- 5904, Volume 04, No 06 SPL, October 2011, pp. 684- 690

  21. Egor Popov, Seismic Steel Framing Systems for Tall Buildings, Sino-American Symposium on Bridge and Structural Engineering, Volume. 17 (3), Sept. 1982.

  22. A. Kadid and A. Boumrkik, PUSHOVER ANALYSIS OF REINFORCED CONCRETE FRAME STRUCTURE, Asian Journal Of Civil Engineering (Building And Housing) Vol. 9, NO. 1 PAGES 75-83 (2008)

  23. Priestley, M. J. N. & Park, R. Strength and Ductility of Concrete Bridge Columns Under Seismic Loading. ACI Structural Journal, Technical paper, Title n° 84- S8, 79(1), pp. 61-76, January-February, 1987.

  24. Rohit Bansal. A thesis on PUSHOVER ANALYSIS OF REINFORCED CONCRETE FRAME, July, 2011.

  25. Michael Fardis. (April 2005) Seismic Performance Assessment and Rehabilitation of Existing Buildings. Proceedings of International workshop at European Laboratory for Structural Assessment (ELSA) I-21020 Ispra Italy

  26. S. S. Vidhale. SEISMIC RESPONSE OF STEEL BUILDING WITH LINEAR BRACING SYSTEM (A Software Approach). International Journal of Electronics, Communication & Soft Computing Science and Engineering ISSN: 2277-9477, Volume 2.

  27. Pankaj Agrawal, Manish Shrikhande. Earthquake Resistant Design of Structures.2006 PHI Learning Private Limited, New Delhi.

  28. www.mosttutorials.blogspot.com

  29. www.slideserve.com/delling/analysis-and-design-of- rc-buildings-using-sap-2000.

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