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IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 36
PARAMETRIC STUDY OF RESPONSE OF AN ASYMMETRIC BUILDING
FOR VARIOUS EARTHQUAKE RESISTANCE FACTORS
Sundareson A1
, Ganesh Baravkar2
, Vijaya Sarathy R3
1
PG Student, Applied Mechanics Department, S.V.National Institute of Technology, Surat, Gujarat, India
2
PG Student, Applied Mechanics Department, S.V.National Institute of Technology, Surat, Gujarat, India
3
Asst.Professor, Civil Engineering Department, Prist University, Thanjavur, Tamilnadu, India
Abstract
Earthquake is a major concern in high seismic prone areas. The structure which lies in seismic zones are to be specially designed. The
goal of earthquake-resistant design is to construct structures that fare better during seismic activity than their conventional
counterparts. In this paper a study is conducted on the performance of a asymmetric structure, with plan irregularity, strength and
stiffness irregularities. The factors which influence the earthquake resistance in a structure are Shear wall, Strong column, Base
isolation, Brick infill and use of dampers. Out of above parameters, some of the above parameters are considered for the current
study, like Shear wall, Strong column, Brick infill. A time history analysis is performed using SAP 2000 software, a comparative
discussion is made on the response of structure between normal building and building which is designed for earthquake resistant. The
results showed that it was important to select a suitable parameter, for the type of resistance that the building must offer. This
parametric study clears the importance of each earthquake resistance factors.
Keywords: Asymmetric building, Strong column, Shear wall, Brick infill
-----------------------------------------------------------------------***-----------------------------------------------------------------------
1. INTRODUCTON
There are many earth quake resistant factors which can be
considered while designing a structure. Some of the factors are
Strong column, weak beam, Shear wall, Base isolation. The
behaviors of each of these factors are unique. The
performance of a structure for these factors can be studied
analytically and experimentally. Behavior of a simple
structure for these factors will give a good vision about the
importance of these factors. This paper will give a brief idea
about Strong column, Shear wall and Brick infill placed in a
simple structure (Fig: 1.1)
2. ANALYSIS
The building configuration is simple G+3 floors and staircase
is assumed to be placed separate. All the columns are assumed
as fixed in its base. It is a residential building, live load is
taken from IS 875 (Part 2). Analysis is made in SAP 2000
software. The analytical model of the structure is shown in fig
2.2. Time history of Buij(26th Jan 2001) is used for dynamic
analysis. Fig 2.1 shows the structure model of all types
compared. The first model Fig 2.2a shows Normal structure
and referred to as N. This normal structure has a beam size of
230mm X 450mm and column 230mm X 300mm. Fig 2.2b
shows the structure with strong column, and referred as ST.
The sizes of ST are for beam 230mm X 450mm and column
300mm X 500mm. The third is presented in Fig. 2.2c is
denoted by SW, which represents shear wall structure. Size of
shear wall is 100mm thick and 1000mm width, beams of
230mm X 450mm & column 230mm X 300mm. The last
model is a Brick infill model, for this the structure is covered
with the masonry 230mm brick infill and represented by BI.
Fig: 1.1 Plan view of Fig: 2.1 Bending moment of
the Building Normal building
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 37
a) Normal Structure (N) b) Strong column structure (ST)
c) Shear wall structure (SW) d) Brick Infill structure (BI)
Fig: 2.2 Model of Structures compared
In the first 3 models, input is given in SAP 2000. But for the
4th model, brick infills are modeled as equivalent diagonal
strut model. In fig 2.3, the thickness of strut is given. By
equation 1[1]
, 2[1]
and table2.1, the width of the strut is
calculated.
Fig: 2.3 Brick infill model
Width of strut W = 0.175 (λH)-0.4√ (H2 + L 2 )…… Eq 1
Where,
λ = (EttSin2θ/4EcIcHi)1/4…………………….Eq 2
Table – 2.1: Brick Infill strut width
t Wall thickness in mm 230
L‟
Column centre to centre length in
mm
6690
L Wall length in mm 6460
H Height of column in mm 3000
Hi Height of wall in mm 2550
d
Length of strut in mm = √(H2 + L‟ 2
)
7331.86
Icol Inertia of column in mm4 517500000
Eme
Young‟s modulus of wall[1] in
N/mm2
5000
Efe
Young‟s modulus of frame[1] in
N/mm2
28500
θ Tan-1(Hi/ L‟) 24.15
2θ 48.31
λ 0.00155
W Width of wall strut in mm 23.25
3. RESULTS AND COMPARISION
Outputs are tabulated and compared for maximum magnitude
of response for time history in „x‟ and „y‟ axis . Comparative
graphs are also shown, from which the behavior of each
structure is clearly seen.
3.1 Comparison of Base Shear
Base shear, is an estimate of the maximum expected lateral
force that will occur due to seismic ground motion at the base
of a structure. Table 3.1, shows the comparison of base shear
of the three models in maximum time history in „x‟ axis. From
the table 3.1 and graph (fig 3.1), the base shear of ST is
greater than N. In first mode ST takes 6.77% more shear than
N. SW resists 5.27 % less than ST and 1.14% more than N. BI
takes 6.17% less than SW, 12.11% less than SW and 7.23%
less than N.
Table – 3.1: Base Shear
Mode
Normal ST SW BI
GlobalFX in KN
THx 24016.772 25642.395 24291.036 22534.954
THx -25345.15 -22654.04 -26696.55 -18842.45
THy 1109.02 2227.825 6429.53 1956.165
THy -1183.362 -2798.901 -6577.276 -1842.168
3.2 Comparison of Joint Displacement
Displacement is studied in joint 57 (Joint at roof level). Roof
level joint will give maximum displacement due to its
cantilever action. Table 3.2, shows the displacement
comparison between time history modes. When the structure is
flexible, then it undergoes many displacements. Comparison
shows N must be flexible then ST, SW & BI.
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 38
Fig: 3.1 Comparison of Base shear force
Table - 3.2: Displacements of Joint 57 in m
Fig: 3.2 Comparison of Displacement of Joint 57
3.3 Comparison of Floor Displacement
While seeing the floor displacement, N undergoes more
displacement, when compared to ST, SW &BI. Due to the
brick infill, the floor displacement is less in roof level.
Table - 3.3: Floor Displacement For Thx
Fig: 3.3 Floor displacements for THX
3.4 Comparison of Time Period
Time period is decreasing, when the mass of the structure gets
increased. That can be seen by the table 3.4. But while
comparing BI, the time period for 1st mode is more than other
models & less in the other 3 modes.
Table - 3.4: Modal Periods in Seconds
Mode
Normal ST SW BI
GlobalFX in KN
1 0.802793 0.427437 0.401211 0.937461
2 0.726349 0.38719 0.370544 0.429596
3 0.511689 0.278201 0.243452 0.367461
4 0.27263 0.118884 0.105881 0.259773
Mode
Normal ST SW BI
GlobalFX in KN
THx 2.501622 0.677162 0.799879 0.6269
THx -2.08726 -0.70574 -0.69793 -0.74185
THy 0.695146 0.20538 0.357715 0.052074
THy -0.57381 -0.24406 -0.35571 -0.07518
Floor
Normal ST SW BI
GlobalFX in KN
4 2.50162 0.67716 0.79987 0.626
3 2.14367 0.52310 0.61232 0.54100
2 1.50995 0.31786 0.37299 0.39532
1 0.70201 0.11006 0.13365 0.20360
0 0 0 0 0
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 39
Fig: 3.4 Comparison of Time periods for 4 modes
4. CONCLUSIONS
In this paper comparison of Normal structure with Strong
column, Shear wall and Brick infill structures for same
configuration is carried out. From this study it is clear that as
the stiffness of building increases due to inclusion of Strong
column, Shear wall and Brick infill, the maximum base shear
force increases while story displacement decreases. Also the
fundamental time period of the structure decreases in Strong
column, Shear wall and Brick infill as compare to Normal
structure. Though Strong column, Shear wall are good while
compared to normal structure, Brick infill structure undergoes
less displacement and more time period than those ST & SW
models. Therefore it is recommended to go for brick infill in a
simple structure.
5REFERENCES
[1] V. V. Diware1, A. C. Saoji, “Seismic assessment of
symmetrical RC structure with brick masonry infills”
International Journal of Engineering Research and
Applications, Vol. 2, Issue 3, May-Jun 2012, pp.2573-
2577.
[2] Kasım Armagan Korkmaz, Fuat Dem R and Mustafa S
VR “Earthquake Assessment of R/C Structures with
Masonry Infill Walls” International Journal of Science
& Technology Vol 2, No 2, 2007 pp 155-164.
[3] Murat Saatcioglu, Arnaldo T. Derecho, and W. Gene
Corley “Parametric Study Of Earthquake-Resistant
Coupled Walls” Journal of Structural Engineering, Vol.
113, No. 1, January, 1987 pp 141-157.
[4] M. A. Austin, K. S. Pister and S. A. Mahin
“Probabilistic Design Of Arthquake-Resistant
Structures” Journal of Structural Engineering, Vol. 113,
No. 8, August, 1987, pp 1642-1659.
[5] Li Tian and Hong-Nan Li “Parametric Study of
Seismic Response of Transmission Tower-Line
System Subjected to Multi-component Earthquake
Excitations” Journal of Earth and Space 2010, pp2925
– 2532.
BIOGRAPHIES
Sundareson A, is an MTech student in SVNIT.
His Currently research area is Space frame
connectors and Earthquake analysis.
Ganesh Baravkar, is an MTech student in
SVNIT. His Currently research area is
Earthquake analysis and load transfer path
analysis in structures
Prof.Vijaya Sarathy R is Asst.Prof in Civil
Engineering Department at Prist University. His
research field is Concrete technology and Steel
structure connections

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Parametric study of response of an asymmetric building for various earthquake resistance factors

  • 1. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 36 PARAMETRIC STUDY OF RESPONSE OF AN ASYMMETRIC BUILDING FOR VARIOUS EARTHQUAKE RESISTANCE FACTORS Sundareson A1 , Ganesh Baravkar2 , Vijaya Sarathy R3 1 PG Student, Applied Mechanics Department, S.V.National Institute of Technology, Surat, Gujarat, India 2 PG Student, Applied Mechanics Department, S.V.National Institute of Technology, Surat, Gujarat, India 3 Asst.Professor, Civil Engineering Department, Prist University, Thanjavur, Tamilnadu, India Abstract Earthquake is a major concern in high seismic prone areas. The structure which lies in seismic zones are to be specially designed. The goal of earthquake-resistant design is to construct structures that fare better during seismic activity than their conventional counterparts. In this paper a study is conducted on the performance of a asymmetric structure, with plan irregularity, strength and stiffness irregularities. The factors which influence the earthquake resistance in a structure are Shear wall, Strong column, Base isolation, Brick infill and use of dampers. Out of above parameters, some of the above parameters are considered for the current study, like Shear wall, Strong column, Brick infill. A time history analysis is performed using SAP 2000 software, a comparative discussion is made on the response of structure between normal building and building which is designed for earthquake resistant. The results showed that it was important to select a suitable parameter, for the type of resistance that the building must offer. This parametric study clears the importance of each earthquake resistance factors. Keywords: Asymmetric building, Strong column, Shear wall, Brick infill -----------------------------------------------------------------------***----------------------------------------------------------------------- 1. INTRODUCTON There are many earth quake resistant factors which can be considered while designing a structure. Some of the factors are Strong column, weak beam, Shear wall, Base isolation. The behaviors of each of these factors are unique. The performance of a structure for these factors can be studied analytically and experimentally. Behavior of a simple structure for these factors will give a good vision about the importance of these factors. This paper will give a brief idea about Strong column, Shear wall and Brick infill placed in a simple structure (Fig: 1.1) 2. ANALYSIS The building configuration is simple G+3 floors and staircase is assumed to be placed separate. All the columns are assumed as fixed in its base. It is a residential building, live load is taken from IS 875 (Part 2). Analysis is made in SAP 2000 software. The analytical model of the structure is shown in fig 2.2. Time history of Buij(26th Jan 2001) is used for dynamic analysis. Fig 2.1 shows the structure model of all types compared. The first model Fig 2.2a shows Normal structure and referred to as N. This normal structure has a beam size of 230mm X 450mm and column 230mm X 300mm. Fig 2.2b shows the structure with strong column, and referred as ST. The sizes of ST are for beam 230mm X 450mm and column 300mm X 500mm. The third is presented in Fig. 2.2c is denoted by SW, which represents shear wall structure. Size of shear wall is 100mm thick and 1000mm width, beams of 230mm X 450mm & column 230mm X 300mm. The last model is a Brick infill model, for this the structure is covered with the masonry 230mm brick infill and represented by BI. Fig: 1.1 Plan view of Fig: 2.1 Bending moment of the Building Normal building
  • 2. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 37 a) Normal Structure (N) b) Strong column structure (ST) c) Shear wall structure (SW) d) Brick Infill structure (BI) Fig: 2.2 Model of Structures compared In the first 3 models, input is given in SAP 2000. But for the 4th model, brick infills are modeled as equivalent diagonal strut model. In fig 2.3, the thickness of strut is given. By equation 1[1] , 2[1] and table2.1, the width of the strut is calculated. Fig: 2.3 Brick infill model Width of strut W = 0.175 (λH)-0.4√ (H2 + L 2 )…… Eq 1 Where, λ = (EttSin2θ/4EcIcHi)1/4…………………….Eq 2 Table – 2.1: Brick Infill strut width t Wall thickness in mm 230 L‟ Column centre to centre length in mm 6690 L Wall length in mm 6460 H Height of column in mm 3000 Hi Height of wall in mm 2550 d Length of strut in mm = √(H2 + L‟ 2 ) 7331.86 Icol Inertia of column in mm4 517500000 Eme Young‟s modulus of wall[1] in N/mm2 5000 Efe Young‟s modulus of frame[1] in N/mm2 28500 θ Tan-1(Hi/ L‟) 24.15 2θ 48.31 λ 0.00155 W Width of wall strut in mm 23.25 3. RESULTS AND COMPARISION Outputs are tabulated and compared for maximum magnitude of response for time history in „x‟ and „y‟ axis . Comparative graphs are also shown, from which the behavior of each structure is clearly seen. 3.1 Comparison of Base Shear Base shear, is an estimate of the maximum expected lateral force that will occur due to seismic ground motion at the base of a structure. Table 3.1, shows the comparison of base shear of the three models in maximum time history in „x‟ axis. From the table 3.1 and graph (fig 3.1), the base shear of ST is greater than N. In first mode ST takes 6.77% more shear than N. SW resists 5.27 % less than ST and 1.14% more than N. BI takes 6.17% less than SW, 12.11% less than SW and 7.23% less than N. Table – 3.1: Base Shear Mode Normal ST SW BI GlobalFX in KN THx 24016.772 25642.395 24291.036 22534.954 THx -25345.15 -22654.04 -26696.55 -18842.45 THy 1109.02 2227.825 6429.53 1956.165 THy -1183.362 -2798.901 -6577.276 -1842.168 3.2 Comparison of Joint Displacement Displacement is studied in joint 57 (Joint at roof level). Roof level joint will give maximum displacement due to its cantilever action. Table 3.2, shows the displacement comparison between time history modes. When the structure is flexible, then it undergoes many displacements. Comparison shows N must be flexible then ST, SW & BI.
  • 3. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 38 Fig: 3.1 Comparison of Base shear force Table - 3.2: Displacements of Joint 57 in m Fig: 3.2 Comparison of Displacement of Joint 57 3.3 Comparison of Floor Displacement While seeing the floor displacement, N undergoes more displacement, when compared to ST, SW &BI. Due to the brick infill, the floor displacement is less in roof level. Table - 3.3: Floor Displacement For Thx Fig: 3.3 Floor displacements for THX 3.4 Comparison of Time Period Time period is decreasing, when the mass of the structure gets increased. That can be seen by the table 3.4. But while comparing BI, the time period for 1st mode is more than other models & less in the other 3 modes. Table - 3.4: Modal Periods in Seconds Mode Normal ST SW BI GlobalFX in KN 1 0.802793 0.427437 0.401211 0.937461 2 0.726349 0.38719 0.370544 0.429596 3 0.511689 0.278201 0.243452 0.367461 4 0.27263 0.118884 0.105881 0.259773 Mode Normal ST SW BI GlobalFX in KN THx 2.501622 0.677162 0.799879 0.6269 THx -2.08726 -0.70574 -0.69793 -0.74185 THy 0.695146 0.20538 0.357715 0.052074 THy -0.57381 -0.24406 -0.35571 -0.07518 Floor Normal ST SW BI GlobalFX in KN 4 2.50162 0.67716 0.79987 0.626 3 2.14367 0.52310 0.61232 0.54100 2 1.50995 0.31786 0.37299 0.39532 1 0.70201 0.11006 0.13365 0.20360 0 0 0 0 0
  • 4. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 39 Fig: 3.4 Comparison of Time periods for 4 modes 4. CONCLUSIONS In this paper comparison of Normal structure with Strong column, Shear wall and Brick infill structures for same configuration is carried out. From this study it is clear that as the stiffness of building increases due to inclusion of Strong column, Shear wall and Brick infill, the maximum base shear force increases while story displacement decreases. Also the fundamental time period of the structure decreases in Strong column, Shear wall and Brick infill as compare to Normal structure. Though Strong column, Shear wall are good while compared to normal structure, Brick infill structure undergoes less displacement and more time period than those ST & SW models. Therefore it is recommended to go for brick infill in a simple structure. 5REFERENCES [1] V. V. Diware1, A. C. Saoji, “Seismic assessment of symmetrical RC structure with brick masonry infills” International Journal of Engineering Research and Applications, Vol. 2, Issue 3, May-Jun 2012, pp.2573- 2577. [2] Kasım Armagan Korkmaz, Fuat Dem R and Mustafa S VR “Earthquake Assessment of R/C Structures with Masonry Infill Walls” International Journal of Science & Technology Vol 2, No 2, 2007 pp 155-164. [3] Murat Saatcioglu, Arnaldo T. Derecho, and W. Gene Corley “Parametric Study Of Earthquake-Resistant Coupled Walls” Journal of Structural Engineering, Vol. 113, No. 1, January, 1987 pp 141-157. [4] M. A. Austin, K. S. Pister and S. A. Mahin “Probabilistic Design Of Arthquake-Resistant Structures” Journal of Structural Engineering, Vol. 113, No. 8, August, 1987, pp 1642-1659. [5] Li Tian and Hong-Nan Li “Parametric Study of Seismic Response of Transmission Tower-Line System Subjected to Multi-component Earthquake Excitations” Journal of Earth and Space 2010, pp2925 – 2532. BIOGRAPHIES Sundareson A, is an MTech student in SVNIT. His Currently research area is Space frame connectors and Earthquake analysis. Ganesh Baravkar, is an MTech student in SVNIT. His Currently research area is Earthquake analysis and load transfer path analysis in structures Prof.Vijaya Sarathy R is Asst.Prof in Civil Engineering Department at Prist University. His research field is Concrete technology and Steel structure connections