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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 302
Analysis of RCC multistoried building with and without shear wall and
optimum location of shear wall
Vidyashree1, Dr. S. B. Vanakudre2
1Vidyashree, P.G student, Dept. of Civil Engineering, SDMCET Dharwad, Karnataka, India
2Dr. S. B. Vanakudre, Professor, SDMCET Dharwad, Karnataka, India
---------------------------------------------------------------------***---------------------------------------------------------------------
Abstract - As we know that in the present scenario
buildings with shear walls are gaining more popularity than
buildings without shear wall in earthquake prone areas
mainly under zones III, IV and V, Due to its capability to the
resistance during earthquake. In this paper 11 story RCC
building is considered for the seismic analysis which is located
in zone V is considered for the analysis using Equivalent static
analysis and Response spectrum analysis. Six models are
considered for the analysis out of which one is bare frame
model and remaining five models are structures with shear
wall at various positions is considered. The modeling and
analysis is done using ETABS -2016 software package. An
attempt is made to study and compare the parameterssuch as
story displacement, story drift and story stiffness by both
equivalent static analysis and response spectrum method.
Key Words: Response Spectrum, equivalent static
method, ETABS, storey drift, storey stiffness and storey
displacement.
1. INTRODUCTION
The major criteria now-a-daysindesigningRCCstructuresin
seismic zones is control of lateral displacement resulting
from lateral forces. In this thesis effort has been made to
investigate the effect of Shear Wall position on lateral
displacement and Storey Drift inRCCFrames.Sixtypesof G+
10 structures are considered, out of which one is bare frame
model i.e. without shear wall and for remaining five models
shear wall is considered at various 5 locations. All the 5
models are analyzed both by equivalentstatic methodwhich
is a linear static analysis and Response spectrum method
which is linear dynamic analysis. And after the analysis,
obtained results are compared with respect todisplacement
and storey drift for both methods and thenbycomparing the
results optimum location of shear wall is determined.
1.1 Objectives
 To analyze the multi storied building with shear
wall by Equivalent static method and Response
spectrum method.
 To study behavior of the structure under different
location of shear wall.
 To study n compar the parameters such as storey
shear, storey displacement and storey drift by
both methods.
 To determine the optimumlocationofthestructure.
1.2 Methodology
1) Modeling and analysis of multistoried building without
and with shear wall at various locations by ESA and RSM for
seismic loads.
3) Comparison of results and graph of all models for the
parameters displacement, story drift and stiffness.
3) For above parameters comparison is also done for both
ESA and RSM methods.
4) Optimum location of shear wall with suitable method is
also found.
2. MODELING AND ANALYSIS
For this study, a 11-story buildingwith eachstoryheightas3
meters is considered and modeledinetabs.The buildingsare
assumed to be fixed at the base. The sections of structural
elements considered are rectangular in nature. In this
project including the ground storey each storey heights of
buildings are assumed to be constant. The dimensionsof the
building considered along X and Y directionsare13.83m and
24m respectively. The buildings are modeledusingsoftware
ETAB Nonlinear v 9.7.2. Six different models were
considered, out of which one is bare frame model and other
five models includes various positions of shear wall. Models
are studied in zone V comparing lateral displacement story
drift, story stiffness for all models.
Fig. 1 : Model 1
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 303
Fig. 2 : Model 2
Fig. 3 : Model 3
Fig. 4 : Model 4
Fig. 5 : Model 5
Fig. 6 : Model 6
3. RESULTS AND DISCUSSION
Results from the analysis are displacement, story drift and
story stiffness which is obtained for all models along both
lateral direction i.e. along X and Y direction and by both
equivalent static analysis and response spectrum analysis
results are obtained
Graphs are developed for a multi storied building of bare
frame model and for models at various positionofshear wall
by both the equivalent staticanalysisandresponsespectrum
analysis method.
3.1 RESULTS AND GRAPHS BY ESA
3.1.1 Storey Displacement
It is the important factor, when the structure is affected by
seismic forces. It mainly depends on the height of the
structure, tall structures are more flexible for lateral loads.
Displacement values will be higher at the top storey and less
at bottom storey.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 304
Displacement along EQ X
Model1 Model2 Model3
StoryLoadCase/ComboUX StoryLoadCase/ComboUX StoryLoadCase/ComboUX
Story11 EQX 53.809 Story11 EQX 31.399 Story11 EQX 44.185
Story10 EQX 51.598 Story10 EQX 28.182 Story10 EQX 40.999
Story9 EQX 48.326 Story9 EQX 24.902 Story9 EQX 37.464
Story8 EQX 44.15 Story8 EQX 21.541 Story8 EQX 33.518
Story7 EQX 39.26 Story7 EQX 18.144 Story7 EQX 29.202
Story6 EQX 33.81 Story6 EQX 14.781 Story6 EQX 24.61
Story5 EQX 28.163 Story5 EQX 11.537 Story5 EQX 19.885
Story4 EQX 22.377 Story4 EQX 8.501 Story4 EQX 15.17
Story3 EQX 16.648 Story3 EQX 5.764 Story3 EQX 10.642
Story2 EQX 11.289 Story2 EQX 3.429 Story2 EQX 6.524
Story1 EQX 6.243 Story1 EQX 1.591 Story1 EQX 3.06
Model4 Model5 Model6
StoryLoadCase/ComboUX StoryLoadCase/ComboUX StoryLoadCase/ComboUX
Story11 EQX 29.329 Story11 EQX 30.677 Story11 EQX 46.041
Story10 EQX 26.325 Story10 EQX 27.496 Story10 EQX 42.275
Story9 EQX 23.231 Story9 EQX 24.232 Story9 EQX 38.191
Story8 EQX 20.073 Story8 EQX 20.913 Story8 EQX 33.795
Story7 EQX 16.889 Story7 EQX 17.581 Story7 EQX 29.122
Story6 EQX 13.74 Story6 EQX 14.291 Story6 EQX 24.253
Story5 EQX 10.706 Story5 EQX 11.122 Story5 EQX 19.339
Story4 EQX 7.864 Story4 EQX 8.154 Story4 EQX 14.526
Story3 EQX 5.308 Story3 EQX 5.484 Story3 EQX 10.005
Story2 EQX 3.128 Story2 EQX 3.217 Story2 EQX 6.017
Story1 EQX 1.429 Story1 EQX 1.462 Story1 EQX 2.792
Model having lesser displacement comparably isthemodel4
i.e. when shear walls are located in the intermediate position
along X direction as a result resistance to the displacement
offered by the building is more when compared with
remaining all 5 models along X direction.
3.1.2 Story Drift:
It is nothing but the difference betweenstoreydisplacements
of one storey with respect to the otherstorey.Aspercodesits
value should not exceed the limit of 0.004 of height of the
storey. Its value is usually maximum at mid stories.
StoryDriftalong EQ X
Model1 Model2 Model3
StoryLoadCase/ComboDrift StoryLoadCase/ComboDrift StoryLoadCase/ComboDrift
Story11 EQX 0.001191 Story11 EQX 0.001276 Story11 EQX 0.001232
Story10 EQX 0.001519 Story10 EQX 0.001362 Story10 EQX 0.001359
Story9 EQX 0.001773 Story9 EQX 0.001438 Story9 EQX 0.001471
Story8 EQX 0.001963 Story8 EQX 0.00148 Story8 EQX 0.001553
Story7 EQX 0.002029 Story7 EQX 0.001467 Story7 EQX 0.001588
Story6 EQX 0.00209 Story6 EQX 0.001417 Story6 EQX 0.001576
Story5 EQX 0.002045 Story5 EQX 0.001326 Story5 EQX 0.001514
Story4 EQX 0.001962 Story4 EQX 0.001173 Story4 EQX 0.001382
Story3 EQX 0.00185 Story3 EQX 0.000962 Story3 EQX 0.00117
Story2 EQX 0.001698 Story2 EQX 0.000698 Story2 EQX 0.000822
Story1 EQX 0.001186 Story1 EQX 0.000348 Story1 EQX 0.000472
Model4 Model5 Model6
StoryLoadCase/ComboDrift StoryLoadCase/ComboDrift StoryLoadCase/ComboDrift
Story11 EQX 0.001167 Story11 EQX 0.001126 Story11 EQX 0.001513
Story10 EQX 0.001197 Story10 EQX 0.001144 Story10 EQX 0.001621
Story9 EQX 0.001214 Story9 EQX 0.001147 Story9 EQX 0.001717
Story8 EQX 0.001209 Story8 EQX 0.001131 Story8 EQX 0.001783
Story7 EQX 0.001173 Story7 EQX 0.001088 Story7 EQX 0.001797
Story6 EQX 0.001107 Story6 EQX 0.001018 Story6 EQX 0.001757
Story5 EQX 0.001004 Story5 EQX 0.000914 Story5 EQX 0.001646
Story4 EQX 0.000864 Story4 EQX 0.000776 Story4 EQX 0.001451
Story3 EQX 0.000677 Story3 EQX 0.0006 Story3 EQX 0.001163
Story2 EQX 0.000429 Story2 EQX 0.000396 Story2 EQX 0.00077
Story1 EQX 0.000242 Story1 EQX 0.000225 Story1 EQX 0.000438
In model 5 location of shear wall is at the extreme end of the
building along X direction, as a result story drift along X
direction is reduced by that model 5 along X direction.
3.1.3 Story Stifness:
The lateral stiffness Ks of a story is generally defined as the
ratio of story shear to story drift.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 305
StoryStiffnessalongEQ-X
Model1 Model2 Model3
Story LoadCase StiffnessX Story LoadCaseStiffnessX Story LoadCaseStiffnessX
kN/m kN/m kN/m
Story11 EQX 143728.323 Story11 EQX 334750.5 Story11 EQX 185637.4
Story10 EQX 156612.689 Story10 EQX 456091.3 Story10 EQX 232072.1
Story9 EQX 163926.153 Story9 EQX 554054.1 Story9 EQX 260452.5
Story8 EQX 168330.852 Story8 EQX 640830.5 Story8 EQX 280261.1
Story7 EQX 177950.487 Story7 EQX 728692.4 Story7 EQX 298567
Story6 EQX 184647.26 Story6 EQX 827253.2 Story6 EQX 318158.1
Story5 EQX 194032.499 Story5 EQX 954670.7 Story5 EQX 344678.2
Story4 EQX 212404.721 Story4 EQX 1144461 Story4 EQX 388142.6
Story3 EQX 228348.078 Story3 EQX 1474802 Story3 EQX 467099.4
Story2 EQX 253105.556 Story2 EQX 2224983 Story2 EQX 715113.3
Story1 EQX 620609.536 Story1 EQX 6941315 Story1 EQX 2115000
Model4 Model5 Model6
Story LoadCase StiffnessX Story LoadCaseStiffnessX Story LoadCaseStiffnessX
kN/m kN/m kN/m
Story11 EQX 323880.797 Story11 EQX 318834.9 Story11 EQX 157131.3
Story10 EQX 442559.753 Story10 EQX 437545.4 Story10 EQX 203584.6
Story9 EQX 538954.726 Story9 EQX 534803.3 Story9 EQX 234981.8
Story8 EQX 623820.297 Story8 EQX 620397.1 Story8 EQX 258285
Story7 EQX 709213.997 Story7 EQX 705758.2 Story7 EQX 280402.7
Story6 EQX 805567.42 Story6 EQX 801547.3 Story6 EQX 304469.8
Story5 EQX 931458.696 Story5 EQX 926897.4 Story5 EQX 337314.8
Story4 EQX 1119624.86 Story4 EQX 1117969 Story4 EQX 391624.2
Story3 EQX 1452601.44 Story3 EQX 1462328 Story3 EQX 490299.4
Story2 EQX 2278398.4 Story2 EQX 2334617 Story2 EQX 749245.5
Story1 EQX 6723816.31 Story1 EQX 7053325 Story1 EQX 2233035
Model having lesser story stiffnesscomparablyisthemodel1
i.e. when no shear walls are located, lower the stiffness more
flexible the structure.
3.2 RESULTS AND GRAPHS FROM RSM:
3.2.1 Storey Displacement:
Displacement along X
Model 1 Model 2 Model 3
StoryLoad Case/ComboUX StoryLoad Case/ComboUX StoryLoad Case/ComboUX
Story11 EQ X 53.8 Story11 EQ X 31.389 Story11 EQ X 44.204
Story10 EQ X 51.596 Story10 EQ X 28.174 Story10 EQ X 41.021
Story9 EQ X 48.336 Story9 EQ X 24.895 Story9 EQ X 37.486
Story8 EQ X 44.175 Story8 EQ X 21.535 Story8 EQ X 33.542
Story7 EQ X 39.302 Story7 EQ X 18.138 Story7 EQ X 29.228
Story6 EQ X 33.872 Story6 EQ X 14.776 Story6 EQ X 24.637
Story5 EQ X 28.245 Story5 EQ X 11.533 Story5 EQ X 19.913
Story4 EQ X 22.48 Story4 EQ X 8.498 Story4 EQ X 15.198
Story3 EQ X 16.771 Story3 EQ X 5.762 Story3 EQ X 10.668
Story2 EQ X 11.419 Story2 EQ X 3.428 Story2 EQ X 6.546
Story1 EQ X 6.31 Story1 EQ X 1.591 Story1 EQ X 3.069
Model 4 Model 5 Model 6
StoryLoad Case/ComboUX StoryLoad Case/ComboUX StoryLoad Case/ComboUX
Story11 EQ X 29.333 Story11 EQ X 30.674 Story11 EQ X 44.481
Story10 EQ X 26.329 Story10 EQ X 27.494 Story10 EQ X 40.647
Story9 EQ X 23.234 Story9 EQ X 24.231 Story9 EQ X 36.561
Story8 EQ X 20.075 Story8 EQ X 20.913 Story8 EQ X 32.217
Story7 EQ X 16.89 Story7 EQ X 17.58 Story7 EQ X 27.644
Story6 EQ X 13.739 Story6 EQ X 14.291 Story6 EQ X 22.923
Story5 EQ X 10.703 Story5 EQ X 11.122 Story5 EQ X 18.188
Story4 EQ X 7.86 Story4 EQ X 8.155 Story4 EQ X 13.579
Story3 EQ X 5.304 Story3 EQ X 5.486 Story3 EQ X 9.281
Story2 EQ X 3.127 Story2 EQ X 3.219 Story2 EQ X 5.509
Story1 EQ X 1.431 Story1 EQ X 1.463 Story1 EQ X 2.493
Model having lesser displacement comparably isthemodel4
i.e. when shear walls are located in the intermediateposition
along X direction as a result resistance to the displacement
offered by the building is more when compared with
remaining all 5 models along X direction.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 306
3.2.2 Story Drift:
StoryDriftalong X
Model1
StoryLoadCase/ComboDrift StoryLoadCase/ComboDrift StoryLoadCase/ComboDrift
Story11 EQX 0.001187 Story11 EQX 0.001275 Story11 EQX 0.001232
Story10 EQX 0.001514 Story10 EQX 0.001361 Story10 EQX 0.001359
Story9 EQX 0.001766 Story9 EQX 0.001437 Story9 EQX 0.001472
Story8 EQX 0.001956 Story8 EQX 0.00148 Story8 EQX 0.001554
Story7 EQX 0.002022 Story7 EQX 0.001467 Story7 EQX 0.001589
Story6 EQX 0.002083 Story6 EQX 0.001416 Story6 EQX 0.001578
Story5 EQX 0.002039 Story5 EQX 0.001326 Story5 EQX 0.001512
Story4 EQX 0.001962 Story4 EQX 0.001173 Story4 EQX 0.001381
Story3 EQX 0.001912 Story3 EQX 0.00096 Story3 EQX 0.00117
Story2 EQX 0.00174 Story2 EQX 0.000697 Story2 EQX 0.000822
Story1 EQX 0.001207 Story1 EQX 0.000348 Story1 EQX 0.000474
StoryLoadCase/ComboDrift StoryLoadCase/ComboDrift StoryLoadCase/ComboDrift
Story11 EQX 0.001167 Story11 EQX 0.001126 Story11 EQX 0.001552
Story10 EQX 0.001197 Story10 EQX 0.001143 Story10 EQX 0.00166
Story9 EQX 0.001214 Story9 EQX 0.001147 Story9 EQX 0.001756
Story8 EQX 0.001209 Story8 EQX 0.001131 Story8 EQX 0.001821
Story7 EQX 0.001173 Story7 EQX 0.001088 Story7 EQX 0.001835
Story6 EQX 0.001107 Story6 EQX 0.001018 Story6 EQX 0.001793
Story5 EQX 0.001003 Story5 EQX 0.000914 Story5 EQX 0.001679
Story4 EQX 0.000862 Story4 EQX 0.000776 Story4 EQX 0.001481
Story3 EQX 0.000675 Story3 EQX 0.0006 Story3 EQX 0.00119
Story2 EQX 0.000435 Story2 EQX 0.000397 Story2 EQX 0.000781
Story1 EQX 0.000244 Story1 EQX 0.000225 Story1 EQX 0.000416
In model 5 location of shear wall is at the extreme end of the
building along X direction, as a result story drift along X
direction is reduced by that model 5 along X direction
3.2.3 Story Stiffness:
Story Stiffness along X
Model1 Model 2 Model 3
Story Load CaseStiffness X Story Load CaseStiffness X Story Load CaseStiffness X
kN/m kN/m kN/m
Story11 RX 153281 Story11 RX 358210.9 Story11 RX 232466.6
Story10 RX 159169.4 Story10 RX 464879.1 Story10 RX 266799.2
Story9 RX 162534.7 Story9 RX 540127.6 Story9 RX 282849.9
Story8 RX 165184.3 Story8 RX 607089.9 Story8 RX 293224.6
Story7 RX 173586.9 Story7 RX 685024 Story7 RX 306601.8
Story6 RX 180095.7 Story6 RX 789439.5 Story6 RX 328755.7
Story5 RX 189758.1 Story5 RX 939124.6 Story5 RX 363979
Story4 RX 206637.4 Story4 RX 1155774 Story4 RX 420097.9
Story3 RX 219357.4 Story3 RX 1502949 Story3 RX 515489.7
Story2 RX 241642.6 Story2 RX 2225439 Story2 RX 794240.2
Story1 RX 595456.5 Story1 RX 6792448 Story1 RX 2291725
Model 4 Model 5 Model 6
Story Load CaseStiffness X Story Load CaseStiffness X Story Load CaseStiffness X
kN/m kN/m kN/m
Story11 RX 302308.7 Story11 RX 362585.2 Story11 RX 200435
Story10 RX 392588 Story10 RX 474290.9 Story10 RX 235838
Story9 RX 456949.6 Story9 RX 554559.4 Story9 RX 254962.5
Story8 RX 514196.5 Story8 RX 625297.7 Story8 RX 269584.1
Story7 RX 581552.6 Story7 RX 709638.5 Story7 RX 289018
Story6 RX 671238.1 Story6 RX 825380.3 Story6 RX 320721.5
Story5 RX 798893.3 Story5 RX 992141.1 Story5 RX 370506.9
Story4 RX 987842.2 Story4 RX 1242973 Story4 RX 449179.4
Story3 RX 1304355 Story3 RX 1665718 Story3 RX 587592.2
Story2 RX 2047289 Story2 RX 2650889 Story2 RX 916491.5
Story1 RX 6058719 Story1 RX 7726558 Story1 RX 2832203
Model having lesser story stiffnesscomparablyisthemodel1
i.e. when no shear walls are located, lower the stiffness more
flexible the structure.
4. CONCLUSIONS
Following conclusions are drawn based on the work carried
out
1.From the results it is evident that storey displacement
values are maximum at top story.
2.Story drift valuesinitiallygoesonincreaseswithincreasein
height of story till the maximum value is reached and then
drift value starts to decreaseeven though there is increasein
the story height.
3.Story stiffness of a structure at the bottom story is more
when compared with top story, as s story height increases
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 307
drift value decreases drastically initially and then it has
decreased gradually.
4.Model without shear wall has more displacement, more
story drift and has lesser stiffness when compared to
remaining all 5 models with shear wall.
5.Comparing all models model 4 i.e. location of shear wall at
position 3 has less story drift,less displacement and medium
stiffness value when compared to remaining all 5 models
along X direction for both equivalent static method and
response spectrum method.
6.Model 3 and model 6 i.e. location of shear wall at position 2
and 5 respectively also has shown less story drift, less
displacement and medium stiffness value when comparedto
remaining all 5 models along Y direction for both equivalent
static method and response spectrum method.
7.By comparing both the methods Response spectrum
analysis has shown less displacement and less story drift
values when compared to ESA method.
REFERENCE
Himalee Rahamgdale, S.R. Satone, Design and Analysis of
Multi storied building with effect of shear wall, vol. 3, Issue 3,
May – Jun 2013, pp 223 – 232.
https://en.wikipedia.org/wiki/Shear_wall
Optimum location of shearwallinhighriseRCbuildingunder
lateral loading:
http://esatjournals.net/ijret/2015v04/i06/IJRET20150406031
.pdf
Shahzadjamilsardar, et al, “Effects of change in shear wall
location on storey drift of 20 stored multi storey building
subjected to lateral loads”, IJIRSET-2013.
https://www.irjet.net/archives/V2/i4/Irjet-v2i440.pdf
P.S.Kumbhare A.C. Saoji, “ Effectiveness of changing of RC
shear wall location in multi storey building”, International
Journal of Engineering Research and Application Vol 2, Issue
5, pp 1072 – 1077 Sant Gadge baba Amaravati University.
IS: 1893 (Part 1) 2002 – Indian standard – “Criteria for
earthquake resistant design of structures “, Bureau of Indian
Standards, New Delhi.
IS 875 [part – 1] – 1987, “Code of practice for design loads
(other than earthquake) for buildings and structures. Dead
loads unit weights of buildingmaterialsandstoredmaterials,
Bureau of Indian standard, New Delhi.
IS: 875 (Part 2) – 1987 code of practice for design loads
(other than earthquake) for buildings and structures. Part 2-
imposed loads
Bureau of Indian Standard, IS – 456 (2000), “Plain and
reinforced concrete code of practice”.

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Analysis of RCC Multistoried Building with and without Shear Wall and Optimum Location of Shear Wall

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 302 Analysis of RCC multistoried building with and without shear wall and optimum location of shear wall Vidyashree1, Dr. S. B. Vanakudre2 1Vidyashree, P.G student, Dept. of Civil Engineering, SDMCET Dharwad, Karnataka, India 2Dr. S. B. Vanakudre, Professor, SDMCET Dharwad, Karnataka, India ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract - As we know that in the present scenario buildings with shear walls are gaining more popularity than buildings without shear wall in earthquake prone areas mainly under zones III, IV and V, Due to its capability to the resistance during earthquake. In this paper 11 story RCC building is considered for the seismic analysis which is located in zone V is considered for the analysis using Equivalent static analysis and Response spectrum analysis. Six models are considered for the analysis out of which one is bare frame model and remaining five models are structures with shear wall at various positions is considered. The modeling and analysis is done using ETABS -2016 software package. An attempt is made to study and compare the parameterssuch as story displacement, story drift and story stiffness by both equivalent static analysis and response spectrum method. Key Words: Response Spectrum, equivalent static method, ETABS, storey drift, storey stiffness and storey displacement. 1. INTRODUCTION The major criteria now-a-daysindesigningRCCstructuresin seismic zones is control of lateral displacement resulting from lateral forces. In this thesis effort has been made to investigate the effect of Shear Wall position on lateral displacement and Storey Drift inRCCFrames.Sixtypesof G+ 10 structures are considered, out of which one is bare frame model i.e. without shear wall and for remaining five models shear wall is considered at various 5 locations. All the 5 models are analyzed both by equivalentstatic methodwhich is a linear static analysis and Response spectrum method which is linear dynamic analysis. And after the analysis, obtained results are compared with respect todisplacement and storey drift for both methods and thenbycomparing the results optimum location of shear wall is determined. 1.1 Objectives  To analyze the multi storied building with shear wall by Equivalent static method and Response spectrum method.  To study behavior of the structure under different location of shear wall.  To study n compar the parameters such as storey shear, storey displacement and storey drift by both methods.  To determine the optimumlocationofthestructure. 1.2 Methodology 1) Modeling and analysis of multistoried building without and with shear wall at various locations by ESA and RSM for seismic loads. 3) Comparison of results and graph of all models for the parameters displacement, story drift and stiffness. 3) For above parameters comparison is also done for both ESA and RSM methods. 4) Optimum location of shear wall with suitable method is also found. 2. MODELING AND ANALYSIS For this study, a 11-story buildingwith eachstoryheightas3 meters is considered and modeledinetabs.The buildingsare assumed to be fixed at the base. The sections of structural elements considered are rectangular in nature. In this project including the ground storey each storey heights of buildings are assumed to be constant. The dimensionsof the building considered along X and Y directionsare13.83m and 24m respectively. The buildings are modeledusingsoftware ETAB Nonlinear v 9.7.2. Six different models were considered, out of which one is bare frame model and other five models includes various positions of shear wall. Models are studied in zone V comparing lateral displacement story drift, story stiffness for all models. Fig. 1 : Model 1
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 303 Fig. 2 : Model 2 Fig. 3 : Model 3 Fig. 4 : Model 4 Fig. 5 : Model 5 Fig. 6 : Model 6 3. RESULTS AND DISCUSSION Results from the analysis are displacement, story drift and story stiffness which is obtained for all models along both lateral direction i.e. along X and Y direction and by both equivalent static analysis and response spectrum analysis results are obtained Graphs are developed for a multi storied building of bare frame model and for models at various positionofshear wall by both the equivalent staticanalysisandresponsespectrum analysis method. 3.1 RESULTS AND GRAPHS BY ESA 3.1.1 Storey Displacement It is the important factor, when the structure is affected by seismic forces. It mainly depends on the height of the structure, tall structures are more flexible for lateral loads. Displacement values will be higher at the top storey and less at bottom storey.
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 304 Displacement along EQ X Model1 Model2 Model3 StoryLoadCase/ComboUX StoryLoadCase/ComboUX StoryLoadCase/ComboUX Story11 EQX 53.809 Story11 EQX 31.399 Story11 EQX 44.185 Story10 EQX 51.598 Story10 EQX 28.182 Story10 EQX 40.999 Story9 EQX 48.326 Story9 EQX 24.902 Story9 EQX 37.464 Story8 EQX 44.15 Story8 EQX 21.541 Story8 EQX 33.518 Story7 EQX 39.26 Story7 EQX 18.144 Story7 EQX 29.202 Story6 EQX 33.81 Story6 EQX 14.781 Story6 EQX 24.61 Story5 EQX 28.163 Story5 EQX 11.537 Story5 EQX 19.885 Story4 EQX 22.377 Story4 EQX 8.501 Story4 EQX 15.17 Story3 EQX 16.648 Story3 EQX 5.764 Story3 EQX 10.642 Story2 EQX 11.289 Story2 EQX 3.429 Story2 EQX 6.524 Story1 EQX 6.243 Story1 EQX 1.591 Story1 EQX 3.06 Model4 Model5 Model6 StoryLoadCase/ComboUX StoryLoadCase/ComboUX StoryLoadCase/ComboUX Story11 EQX 29.329 Story11 EQX 30.677 Story11 EQX 46.041 Story10 EQX 26.325 Story10 EQX 27.496 Story10 EQX 42.275 Story9 EQX 23.231 Story9 EQX 24.232 Story9 EQX 38.191 Story8 EQX 20.073 Story8 EQX 20.913 Story8 EQX 33.795 Story7 EQX 16.889 Story7 EQX 17.581 Story7 EQX 29.122 Story6 EQX 13.74 Story6 EQX 14.291 Story6 EQX 24.253 Story5 EQX 10.706 Story5 EQX 11.122 Story5 EQX 19.339 Story4 EQX 7.864 Story4 EQX 8.154 Story4 EQX 14.526 Story3 EQX 5.308 Story3 EQX 5.484 Story3 EQX 10.005 Story2 EQX 3.128 Story2 EQX 3.217 Story2 EQX 6.017 Story1 EQX 1.429 Story1 EQX 1.462 Story1 EQX 2.792 Model having lesser displacement comparably isthemodel4 i.e. when shear walls are located in the intermediate position along X direction as a result resistance to the displacement offered by the building is more when compared with remaining all 5 models along X direction. 3.1.2 Story Drift: It is nothing but the difference betweenstoreydisplacements of one storey with respect to the otherstorey.Aspercodesits value should not exceed the limit of 0.004 of height of the storey. Its value is usually maximum at mid stories. StoryDriftalong EQ X Model1 Model2 Model3 StoryLoadCase/ComboDrift StoryLoadCase/ComboDrift StoryLoadCase/ComboDrift Story11 EQX 0.001191 Story11 EQX 0.001276 Story11 EQX 0.001232 Story10 EQX 0.001519 Story10 EQX 0.001362 Story10 EQX 0.001359 Story9 EQX 0.001773 Story9 EQX 0.001438 Story9 EQX 0.001471 Story8 EQX 0.001963 Story8 EQX 0.00148 Story8 EQX 0.001553 Story7 EQX 0.002029 Story7 EQX 0.001467 Story7 EQX 0.001588 Story6 EQX 0.00209 Story6 EQX 0.001417 Story6 EQX 0.001576 Story5 EQX 0.002045 Story5 EQX 0.001326 Story5 EQX 0.001514 Story4 EQX 0.001962 Story4 EQX 0.001173 Story4 EQX 0.001382 Story3 EQX 0.00185 Story3 EQX 0.000962 Story3 EQX 0.00117 Story2 EQX 0.001698 Story2 EQX 0.000698 Story2 EQX 0.000822 Story1 EQX 0.001186 Story1 EQX 0.000348 Story1 EQX 0.000472 Model4 Model5 Model6 StoryLoadCase/ComboDrift StoryLoadCase/ComboDrift StoryLoadCase/ComboDrift Story11 EQX 0.001167 Story11 EQX 0.001126 Story11 EQX 0.001513 Story10 EQX 0.001197 Story10 EQX 0.001144 Story10 EQX 0.001621 Story9 EQX 0.001214 Story9 EQX 0.001147 Story9 EQX 0.001717 Story8 EQX 0.001209 Story8 EQX 0.001131 Story8 EQX 0.001783 Story7 EQX 0.001173 Story7 EQX 0.001088 Story7 EQX 0.001797 Story6 EQX 0.001107 Story6 EQX 0.001018 Story6 EQX 0.001757 Story5 EQX 0.001004 Story5 EQX 0.000914 Story5 EQX 0.001646 Story4 EQX 0.000864 Story4 EQX 0.000776 Story4 EQX 0.001451 Story3 EQX 0.000677 Story3 EQX 0.0006 Story3 EQX 0.001163 Story2 EQX 0.000429 Story2 EQX 0.000396 Story2 EQX 0.00077 Story1 EQX 0.000242 Story1 EQX 0.000225 Story1 EQX 0.000438 In model 5 location of shear wall is at the extreme end of the building along X direction, as a result story drift along X direction is reduced by that model 5 along X direction. 3.1.3 Story Stifness: The lateral stiffness Ks of a story is generally defined as the ratio of story shear to story drift.
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 305 StoryStiffnessalongEQ-X Model1 Model2 Model3 Story LoadCase StiffnessX Story LoadCaseStiffnessX Story LoadCaseStiffnessX kN/m kN/m kN/m Story11 EQX 143728.323 Story11 EQX 334750.5 Story11 EQX 185637.4 Story10 EQX 156612.689 Story10 EQX 456091.3 Story10 EQX 232072.1 Story9 EQX 163926.153 Story9 EQX 554054.1 Story9 EQX 260452.5 Story8 EQX 168330.852 Story8 EQX 640830.5 Story8 EQX 280261.1 Story7 EQX 177950.487 Story7 EQX 728692.4 Story7 EQX 298567 Story6 EQX 184647.26 Story6 EQX 827253.2 Story6 EQX 318158.1 Story5 EQX 194032.499 Story5 EQX 954670.7 Story5 EQX 344678.2 Story4 EQX 212404.721 Story4 EQX 1144461 Story4 EQX 388142.6 Story3 EQX 228348.078 Story3 EQX 1474802 Story3 EQX 467099.4 Story2 EQX 253105.556 Story2 EQX 2224983 Story2 EQX 715113.3 Story1 EQX 620609.536 Story1 EQX 6941315 Story1 EQX 2115000 Model4 Model5 Model6 Story LoadCase StiffnessX Story LoadCaseStiffnessX Story LoadCaseStiffnessX kN/m kN/m kN/m Story11 EQX 323880.797 Story11 EQX 318834.9 Story11 EQX 157131.3 Story10 EQX 442559.753 Story10 EQX 437545.4 Story10 EQX 203584.6 Story9 EQX 538954.726 Story9 EQX 534803.3 Story9 EQX 234981.8 Story8 EQX 623820.297 Story8 EQX 620397.1 Story8 EQX 258285 Story7 EQX 709213.997 Story7 EQX 705758.2 Story7 EQX 280402.7 Story6 EQX 805567.42 Story6 EQX 801547.3 Story6 EQX 304469.8 Story5 EQX 931458.696 Story5 EQX 926897.4 Story5 EQX 337314.8 Story4 EQX 1119624.86 Story4 EQX 1117969 Story4 EQX 391624.2 Story3 EQX 1452601.44 Story3 EQX 1462328 Story3 EQX 490299.4 Story2 EQX 2278398.4 Story2 EQX 2334617 Story2 EQX 749245.5 Story1 EQX 6723816.31 Story1 EQX 7053325 Story1 EQX 2233035 Model having lesser story stiffnesscomparablyisthemodel1 i.e. when no shear walls are located, lower the stiffness more flexible the structure. 3.2 RESULTS AND GRAPHS FROM RSM: 3.2.1 Storey Displacement: Displacement along X Model 1 Model 2 Model 3 StoryLoad Case/ComboUX StoryLoad Case/ComboUX StoryLoad Case/ComboUX Story11 EQ X 53.8 Story11 EQ X 31.389 Story11 EQ X 44.204 Story10 EQ X 51.596 Story10 EQ X 28.174 Story10 EQ X 41.021 Story9 EQ X 48.336 Story9 EQ X 24.895 Story9 EQ X 37.486 Story8 EQ X 44.175 Story8 EQ X 21.535 Story8 EQ X 33.542 Story7 EQ X 39.302 Story7 EQ X 18.138 Story7 EQ X 29.228 Story6 EQ X 33.872 Story6 EQ X 14.776 Story6 EQ X 24.637 Story5 EQ X 28.245 Story5 EQ X 11.533 Story5 EQ X 19.913 Story4 EQ X 22.48 Story4 EQ X 8.498 Story4 EQ X 15.198 Story3 EQ X 16.771 Story3 EQ X 5.762 Story3 EQ X 10.668 Story2 EQ X 11.419 Story2 EQ X 3.428 Story2 EQ X 6.546 Story1 EQ X 6.31 Story1 EQ X 1.591 Story1 EQ X 3.069 Model 4 Model 5 Model 6 StoryLoad Case/ComboUX StoryLoad Case/ComboUX StoryLoad Case/ComboUX Story11 EQ X 29.333 Story11 EQ X 30.674 Story11 EQ X 44.481 Story10 EQ X 26.329 Story10 EQ X 27.494 Story10 EQ X 40.647 Story9 EQ X 23.234 Story9 EQ X 24.231 Story9 EQ X 36.561 Story8 EQ X 20.075 Story8 EQ X 20.913 Story8 EQ X 32.217 Story7 EQ X 16.89 Story7 EQ X 17.58 Story7 EQ X 27.644 Story6 EQ X 13.739 Story6 EQ X 14.291 Story6 EQ X 22.923 Story5 EQ X 10.703 Story5 EQ X 11.122 Story5 EQ X 18.188 Story4 EQ X 7.86 Story4 EQ X 8.155 Story4 EQ X 13.579 Story3 EQ X 5.304 Story3 EQ X 5.486 Story3 EQ X 9.281 Story2 EQ X 3.127 Story2 EQ X 3.219 Story2 EQ X 5.509 Story1 EQ X 1.431 Story1 EQ X 1.463 Story1 EQ X 2.493 Model having lesser displacement comparably isthemodel4 i.e. when shear walls are located in the intermediateposition along X direction as a result resistance to the displacement offered by the building is more when compared with remaining all 5 models along X direction.
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 306 3.2.2 Story Drift: StoryDriftalong X Model1 StoryLoadCase/ComboDrift StoryLoadCase/ComboDrift StoryLoadCase/ComboDrift Story11 EQX 0.001187 Story11 EQX 0.001275 Story11 EQX 0.001232 Story10 EQX 0.001514 Story10 EQX 0.001361 Story10 EQX 0.001359 Story9 EQX 0.001766 Story9 EQX 0.001437 Story9 EQX 0.001472 Story8 EQX 0.001956 Story8 EQX 0.00148 Story8 EQX 0.001554 Story7 EQX 0.002022 Story7 EQX 0.001467 Story7 EQX 0.001589 Story6 EQX 0.002083 Story6 EQX 0.001416 Story6 EQX 0.001578 Story5 EQX 0.002039 Story5 EQX 0.001326 Story5 EQX 0.001512 Story4 EQX 0.001962 Story4 EQX 0.001173 Story4 EQX 0.001381 Story3 EQX 0.001912 Story3 EQX 0.00096 Story3 EQX 0.00117 Story2 EQX 0.00174 Story2 EQX 0.000697 Story2 EQX 0.000822 Story1 EQX 0.001207 Story1 EQX 0.000348 Story1 EQX 0.000474 StoryLoadCase/ComboDrift StoryLoadCase/ComboDrift StoryLoadCase/ComboDrift Story11 EQX 0.001167 Story11 EQX 0.001126 Story11 EQX 0.001552 Story10 EQX 0.001197 Story10 EQX 0.001143 Story10 EQX 0.00166 Story9 EQX 0.001214 Story9 EQX 0.001147 Story9 EQX 0.001756 Story8 EQX 0.001209 Story8 EQX 0.001131 Story8 EQX 0.001821 Story7 EQX 0.001173 Story7 EQX 0.001088 Story7 EQX 0.001835 Story6 EQX 0.001107 Story6 EQX 0.001018 Story6 EQX 0.001793 Story5 EQX 0.001003 Story5 EQX 0.000914 Story5 EQX 0.001679 Story4 EQX 0.000862 Story4 EQX 0.000776 Story4 EQX 0.001481 Story3 EQX 0.000675 Story3 EQX 0.0006 Story3 EQX 0.00119 Story2 EQX 0.000435 Story2 EQX 0.000397 Story2 EQX 0.000781 Story1 EQX 0.000244 Story1 EQX 0.000225 Story1 EQX 0.000416 In model 5 location of shear wall is at the extreme end of the building along X direction, as a result story drift along X direction is reduced by that model 5 along X direction 3.2.3 Story Stiffness: Story Stiffness along X Model1 Model 2 Model 3 Story Load CaseStiffness X Story Load CaseStiffness X Story Load CaseStiffness X kN/m kN/m kN/m Story11 RX 153281 Story11 RX 358210.9 Story11 RX 232466.6 Story10 RX 159169.4 Story10 RX 464879.1 Story10 RX 266799.2 Story9 RX 162534.7 Story9 RX 540127.6 Story9 RX 282849.9 Story8 RX 165184.3 Story8 RX 607089.9 Story8 RX 293224.6 Story7 RX 173586.9 Story7 RX 685024 Story7 RX 306601.8 Story6 RX 180095.7 Story6 RX 789439.5 Story6 RX 328755.7 Story5 RX 189758.1 Story5 RX 939124.6 Story5 RX 363979 Story4 RX 206637.4 Story4 RX 1155774 Story4 RX 420097.9 Story3 RX 219357.4 Story3 RX 1502949 Story3 RX 515489.7 Story2 RX 241642.6 Story2 RX 2225439 Story2 RX 794240.2 Story1 RX 595456.5 Story1 RX 6792448 Story1 RX 2291725 Model 4 Model 5 Model 6 Story Load CaseStiffness X Story Load CaseStiffness X Story Load CaseStiffness X kN/m kN/m kN/m Story11 RX 302308.7 Story11 RX 362585.2 Story11 RX 200435 Story10 RX 392588 Story10 RX 474290.9 Story10 RX 235838 Story9 RX 456949.6 Story9 RX 554559.4 Story9 RX 254962.5 Story8 RX 514196.5 Story8 RX 625297.7 Story8 RX 269584.1 Story7 RX 581552.6 Story7 RX 709638.5 Story7 RX 289018 Story6 RX 671238.1 Story6 RX 825380.3 Story6 RX 320721.5 Story5 RX 798893.3 Story5 RX 992141.1 Story5 RX 370506.9 Story4 RX 987842.2 Story4 RX 1242973 Story4 RX 449179.4 Story3 RX 1304355 Story3 RX 1665718 Story3 RX 587592.2 Story2 RX 2047289 Story2 RX 2650889 Story2 RX 916491.5 Story1 RX 6058719 Story1 RX 7726558 Story1 RX 2832203 Model having lesser story stiffnesscomparablyisthemodel1 i.e. when no shear walls are located, lower the stiffness more flexible the structure. 4. CONCLUSIONS Following conclusions are drawn based on the work carried out 1.From the results it is evident that storey displacement values are maximum at top story. 2.Story drift valuesinitiallygoesonincreaseswithincreasein height of story till the maximum value is reached and then drift value starts to decreaseeven though there is increasein the story height. 3.Story stiffness of a structure at the bottom story is more when compared with top story, as s story height increases
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 307 drift value decreases drastically initially and then it has decreased gradually. 4.Model without shear wall has more displacement, more story drift and has lesser stiffness when compared to remaining all 5 models with shear wall. 5.Comparing all models model 4 i.e. location of shear wall at position 3 has less story drift,less displacement and medium stiffness value when compared to remaining all 5 models along X direction for both equivalent static method and response spectrum method. 6.Model 3 and model 6 i.e. location of shear wall at position 2 and 5 respectively also has shown less story drift, less displacement and medium stiffness value when comparedto remaining all 5 models along Y direction for both equivalent static method and response spectrum method. 7.By comparing both the methods Response spectrum analysis has shown less displacement and less story drift values when compared to ESA method. REFERENCE Himalee Rahamgdale, S.R. Satone, Design and Analysis of Multi storied building with effect of shear wall, vol. 3, Issue 3, May – Jun 2013, pp 223 – 232. https://en.wikipedia.org/wiki/Shear_wall Optimum location of shearwallinhighriseRCbuildingunder lateral loading: http://esatjournals.net/ijret/2015v04/i06/IJRET20150406031 .pdf Shahzadjamilsardar, et al, “Effects of change in shear wall location on storey drift of 20 stored multi storey building subjected to lateral loads”, IJIRSET-2013. https://www.irjet.net/archives/V2/i4/Irjet-v2i440.pdf P.S.Kumbhare A.C. Saoji, “ Effectiveness of changing of RC shear wall location in multi storey building”, International Journal of Engineering Research and Application Vol 2, Issue 5, pp 1072 – 1077 Sant Gadge baba Amaravati University. IS: 1893 (Part 1) 2002 – Indian standard – “Criteria for earthquake resistant design of structures “, Bureau of Indian Standards, New Delhi. IS 875 [part – 1] – 1987, “Code of practice for design loads (other than earthquake) for buildings and structures. Dead loads unit weights of buildingmaterialsandstoredmaterials, Bureau of Indian standard, New Delhi. IS: 875 (Part 2) – 1987 code of practice for design loads (other than earthquake) for buildings and structures. Part 2- imposed loads Bureau of Indian Standard, IS – 456 (2000), “Plain and reinforced concrete code of practice”.