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Multilateral Seismic and Cost Assessment Of Building with
Stiffness Irregularity In Zone V
Prof. Virendra Kumar Paul1
, Salman Khursheed*
, Md Asif Akbari2
1
Professor, Department of Building Engineering & Management, SPA, Delhi, India
*
Assistant Professor, Dept. of BEM, SPA, Delhi, India
2
Research Scholar, Dept. of BEM, School of Planning and Architecture, Delhi, India
1
(Vk.paul@spa.ac.in), *
(salman.khursheed@spa.ac.in) ,2
(akbariasif12@gmail.com)
Abstract
Parking facility in high rise buildings is essential these days because of the lack of spaces and
the need of green area around the building. When such facility is provided on the stilt level; it results
in a soft story. Basically because of the lack of infill walls or due to difference in the floor height the
discontinuity in the rigidity of structure happens that is called the soft storey. It behaves differently
from rest of the structures at the time of earthquake that results in stress concentration and ultimately
damage to the structure. As per Indian codal provisions IS:1893 (2002) the columns, beams and shear
walls of the soft storey are to be designed for higher storey shear forces. Higher the storey shear more
will be sectional area of steel and concrete. In this paper, an attempt has been made to compare the
structural cost of a basement, ground and 6 upper floors building with and without the provision of
soft storey (Stilt floor) through dynamic analysis of a residential building in Zone-V comprises of
entire northeastern India, parts of Jammu and Kashmir, Himachal Pradesh, Uttaranchal, Rann of
Kutch in Gujarat, parts of North Bihar and Andaman & Nicobar Islands. The results of the study
would open the door for further research in the area of seismic design of structures under different
seismic intensities and related cost management studies.
Keywords: Structural Modeling, Cost Assessment, Seismic Analysis, ETABS, Building
Modeling.
1. INTRODUCTION
Post analysis on a building shows that the building always cracks from the weakest point
present on it. It is also a mare truth that we can’t build fully earthquake resistant structure but can
consider earthquake effect at the design stages because the actual forces that appear on the structure
during earthquake is much greater than the design force. The earthquake force at different level come
down along the column to the ground which is called the load path. If abnormal inter-storey drifts
occurs between adjacent stories, the distribution of lateral forces do not occur suitably throughout the
structure and it gets concentrated on the storey having large displacement. (Vipin V. Halde, 2015) the
We define a term soft storey for those buildings which has no or very few infill walls at a floor. As in
a soft storey building the stress get concentrated on the ground storey as there is no or very few infill
walls on that floor which leads to the damage or collapse of the building. The seismic performance of
the soft storey building were very poor, when compared with the normal RC Structure (S. Arunkumar,
2015). Most of the cases in Indian scenario the open spaces in soft storey is desirable either
aesthetically or commercially for the purpose of recreational use, parking or for retail or commercial
site. Hence there is very less opportunity to provide walls for distribution of lateral forces and to make
building to manage the swaying characteristic of an earthquake. Many buildings with an open ground
storey intended for parking collapsed or were severely damaged in Gujarat during the 2001 Bhuj
International Journal of Advanced in Management, Technology and Engineering Sciences
Volume 8, Issue III, MARCH/2018
ISSN NO : 2249-7455
http://ijamtes.org/951
earthquake. As per IS:1893(2002), the soft storey is defined as one which has lateral stiffness less
than 70% of the storey above or less than 80% of average lateral stiffness of the three storey above,
i.e.
ki < 0.7 ki+1 ( 1)
or ki < 0.8(ki+1+ki+2+ki+3)/3 ( 2)
Where Ki is the lateral stiffness at ith floor.
ASCE 7-05 Reference Section Table 12.6-1 defines that the lateral stiffness of soft storey is less than
70% of that in the storey immediately above, or less than 80% of average stiffness of the three stories
above.
The buildings that are called as soft storey building has a discontinuity in the stiffness of the building,
which have at least one of the following characteristics: (a) one storey is significantly more flexible
than adjacent storeys, (b) have vertical discontinuity (e.g. possess fewer columns in one storey than
that of storey above), (c) have a heavy superstructure (Ari Wibowoa, 2015).
2. Objective
The objective of this research paper is to compare the structural cost of two building in
seismic zone V with and without shear storey on ground floor as per different provisions provided in
the relevant Indian Standard codes. The specifications of structural members, the moment of inertia
and the quantity of concrete is considered same for both the structures with and without soft storey.
The comparison is done in terms of the extra reinforcement provided only. Further this paper provides
scope for the correlation between the number of storey and the structural cost.
3. Description of Soft Storey And Related Codal Provisions
The earthquake causes shaking of ground and in turn generates inertia forces that are
proportional to the building mass. Since most of the building mass is present at floor level, earthquake
induced forces are maximum at floor levels. These forces when travels down on the load path when
finds irregularity in terms of lateral stiffness a stress concentration takes place that leads to the
breakdown of the structure.
Soft storey is the one of which the rigidity is lower than any other storeys due to the fact that it has not
got the walls with the same properties the other ones have. If vertical load bearing structural elements
and the partitioning wall continue in all the storeys, there is no soft storey in the construction. Soft
storey is generally present at the entrance floors of the buildings. This situation depends on the
constructional properties of the cities and countries (Dr. Mizan DOĞAN, 2002). When the stiffness
irregularity is noticed in the structural analysis of the building subjected to equivalent static lateral
loads, designers may choose one of following options, namely
(a) Designing all members of the frame according to the irregular forces,
(b) Strengthening the columns and beams in the vicinity of the irregularity for higher forces than those
received from structural analysis, and
(c) Reducing the stiffness irregularity by adding a new stiff lateral load resisting system in the
building, whose lateral stiffness is much larger than that of the original system of the building that has
irregularity, e.g., RC structural wall in a RC moment frame building with unreinforced masonry infills
(C. V. R. Murty, 2013).
As per Indian Standard 1893:2002 Part I, there is two more term defined apart from the soft storey
which is weak storey, i.e in which the storey lateral strength is less than 80 percent of that in the
storey above.
International Journal of Advanced in Management, Technology and Engineering Sciences
Volume 8, Issue III, MARCH/2018
ISSN NO : 2249-7455
http://ijamtes.org/952
ki < 0.8 ki+1 (3)
and extreme soft storey is one in which the lateral stiffness is less than 60 percent of that in the storey
above or less than 70 percent of the average stiffens of the three storeys above.
Ki < 0.6 ki+1 ( 4)
or ki < 0.7(ki+1+ki+2+ki+3)/3 ( 5)
Where Ki is the lateral stiffness at ith
floor.
As far as the design consideration is concerned, IS 1893:2002 Part I Suggests the following:
 Dynamic analysis of building is carried out including the strength and stiffness effects of infills and
inelastic deformations in the members particularly those in the soft storey.
If we neglect the effect of infills in other storey then the following design criteria can be adopted:
 The columns and beams of the soft storey are to be designed for 2.5 times the storey shear and
moments calculated under seismic load.
 Besides the columns design and detailed for the calculated storey shear and moments shear walls
placed symmetrically in both the direction of the building shall be designed for 1.5 times the lateral
storey shear force.
As per IS 1893:2002, there are two kinds of building frames
 Ordinary Moment Resisting Frame (OMRF) – It is a moment resisting frame not meeting special
detailing for ductile failure.
 Special Moment Resisting Frame (SMRF) – It is a moment resisting frame specially detailed to
provide ductile behavior and comply with the requirements of Indian Standard.
In this paper the analysis is done considering SMRF framed building structure.
As per IS 1893:2002 Part I {7.6.2 (a)}, the time period of vibration including moment-resisting frame
buildings with masonry infill wall panels is
Ta = (0.09h)/sqrt(dx) ( 6)
Where,
h = Height of building, in m, as defined in IS 1893:2002 Part I, 7.6.2 (a); and
dx = Base dimension (in m) of the building at the plinth level along the considered direction of the
lateral force.
4. Methodology of Building Modeling
In this research two residential buildings of basement, ground and 6 upper floors, one with
infill walls in all floors and other with infill walls in all floors except the stilt floor (Soft Storey) is
taken in zone - V for analysis purpose. These two building are modeled using ETABS (9.7.4) version.
The structural details of buildings are shown in Table 1.
Table 1. Description of building
Modelling details of building
Area 10 m x 30 m
Storey details Basement + Ground + 6 storeys
Frame type SMRF (Special Moment Resisting Frame)
Height of basement 5 m
Height of ground storey 2.7 m
Height of typical storey 3.15 m
Purpose Residential
Foundation support system Fixed
International Journal of Advanced in Management, Technology and Engineering Sciences
Volume 8, Issue III, MARCH/2018
ISSN NO : 2249-7455
http://ijamtes.org/953
Seismic Zone Zone – V
Zone Factor (z) 0.36
Type of soil Medium
Damping Ratio 5%
Response Reduction Factor (R) 5
Importance Factor (I) 1
Time period in X direction 0.84 sec [Clause 7.6.2, IS:1893: 2002, Part -I]
Time period in Y direction 0.50 sec [Clause 7.6.2, IS:1893: 2002, Part -I]
Material Properties
Grade of reinforcement (longitudinal/main) Fe-500
Grade of reinforcement (Shear/ties) Fe-415
Concrete
Grade of concrete M25
Young’s Modulus (E) 25 x 106
KN/sqm
Density 25 KN/cum
Poisson’s ratio 0.20
Structural members
Thickness of slab 130 mm
Thickness of wall 115 mm & 230 mm
Thickness of shear wall 230 mm
Dimension of beam 115 mm x 450 mm
230 mm x 450 mm
300 mm x 450 mm
350 mm x 450 mm
Dimension of column 300 mm x 75 mm
350 mm x 750 mm
Dead Load Intensities
For 230 mm thick wall 13.5 KN/m
For 115 mm thick wall 7.5 KN/m
For parapet wall 5.61 KN/m
For railing 3.0 KN/m
For ceiling plaster and floor finish 1.45 KN/sqm
For ceiling plaster and brick coba 2.75 KN/sqm
For sunken portion (450 mm) 4.05 KN/sqm
For staircase 9.2 KN/sqm
Live Load Intensities
For toilet, kitchen and living room 2 KN/sqm
For staircase, balcony, corridor and lobby area 3 KN/sqm
For accessible portion of terrace 1.5 KN/sqm
For non-accessible portion of terrace 0.75 KN/sqm
For parking area 5 KN/sqm
International Journal of Advanced in Management, Technology and Engineering Sciences
Volume 8, Issue III, MARCH/2018
ISSN NO : 2249-7455
http://ijamtes.org/954
5. STRUCTURAL MODE
As per the model the building comprises of one basement, one stilt floor and 6 floor above it.
The same is modeled in ETABS 2015 (Version 15.2.0
beams, shear walls. The Following are the properties assigned to structural members.
Sl.
No.
Element Type
1 Beam & Columns Line Element
2 Slabs
(Rectangular)
Area Element
3 Shear wall Area Element
Other non-structural components that don’t
lumping mass at different floor levels are defined as per the code.
having basement, ground and 6 storeys along with plan of the building. Both the buildings are similar
except that there is no wall load on ground storey in building with soft storey.
Figure 1 3D view of building
6. SOFT STOREY CHECK
As per IS 1893:2002 (Part1)
classified as soft storey. From this it can be interpreted that if the maximum variation between two
storeys is more than 30% then the stor
2012). In the below provide table 2 & 3 the % difference in K value between two adjacent floors is
calculated based on the design base shear generated in ETAB
respectively when there is no wall load applied on the ground floor. In table 4 & 5 the % difference in
K value between two adjacent floors is calculated based on the design base shear generated in ETABS
9.7.4 in X direction and Y direction respectively when there is wall load applied on the ground floor.
CTURAL MODELING AND ANALYSIS
As per the model the building comprises of one basement, one stilt floor and 6 floor above it.
ETABS 2015 (Version 15.2.0). The structural system includes columns,
beams, shear walls. The Following are the properties assigned to structural members.
Table 2. Member Properties
Properties Nodes
Line Element Member 2
ea Element Shell 4
Area Element Member 4
components that don’t have a significant role in analysis are not modeled.
lumping mass at different floor levels are defined as per the code. Figure 1 shows 3D view of build
having basement, ground and 6 storeys along with plan of the building. Both the buildings are similar
except that there is no wall load on ground storey in building with soft storey.
3D view of building modeled using ETABS 9.7.4
SOFT STOREY CHECK
As per IS 1893:2002 (Part1) if the stiffness is less than 70% of above storey then it will be
classified as soft storey. From this it can be interpreted that if the maximum variation between two
hen the storey is classified as soft storey (Aslam Faqeer Mohammad,
. In the below provide table 2 & 3 the % difference in K value between two adjacent floors is
calculated based on the design base shear generated in ETABS 9.7.4 in X direction and Y direction
respectively when there is no wall load applied on the ground floor. In table 4 & 5 the % difference in
K value between two adjacent floors is calculated based on the design base shear generated in ETABS
rection and Y direction respectively when there is wall load applied on the ground floor.
As per the model the building comprises of one basement, one stilt floor and 6 floor above it.
cludes columns,
analysis are not modeled. The
Figure 1 shows 3D view of building
having basement, ground and 6 storeys along with plan of the building. Both the buildings are similar
if the stiffness is less than 70% of above storey then it will be
classified as soft storey. From this it can be interpreted that if the maximum variation between two
(Aslam Faqeer Mohammad,
. In the below provide table 2 & 3 the % difference in K value between two adjacent floors is
S 9.7.4 in X direction and Y direction
respectively when there is no wall load applied on the ground floor. In table 4 & 5 the % difference in
K value between two adjacent floors is calculated based on the design base shear generated in ETABS
rection and Y direction respectively when there is wall load applied on the ground floor.
International Journal of Advanced in Management, Technology and Engineering Sciences
Volume 8, Issue III, MARCH/2018
ISSN NO : 2249-7455
http://ijamtes.org/955
Table 3. Determination of soft storey due to lateral force caused by the earthquake in X
direction for building where wall load is not applied at ground level
Storey
Design
Base
Shear
(KN)
Lateral
Force
(KN)
Diaphragm
Displacement
(mm)
Stiffness
(KN/mm)
% difference in K (30 % required)
% difference compared to
Above Storey Below Storey
MUMTY 92.66 92.66 22.70 4.08 86.27
TERRACE 690.19 597.53 20.10 29.73 628.28 7.52
SIXTH 1259.13 568.94 17.70 32.14 8.13 (13.09)
FIFTH 1685.48 426.35 15.00 28.42 (11.57) (13.95)
FOURTH 1989.78 304.3 12.20 24.94 (12.25) (13.16)
THIRD 2192.57 202.79 9.20 22.04 (11.63) (14.01)
SECOND 2314.37 121.8 6.30 19.33 (12.29) (17.91)
FIRST 2375.04 60.67 3.70 16.40 (15.19) (65.14)
GROUND 2391.92 16.88 1.70 9.93 (39.44)
Table 4. Determination of soft storey due to lateral force caused by the earthquake in Y
direction for building where wall load is not applied at ground level
Storey
Design
Base
Shear
(KN)
Lateral
Force (KN)
Diaphragm
Displacement
(mm)
Stiffness
(KN/mm)
% difference in K (30
% required)
% difference compared
to
Above
Storey
Below
Storey
MUMTY 143.07 143.07 22.70 6.30 86.27
TERRACE 1065.73 922.66 20.10 45.90 628.32 7.51
SIXTH 1944.24 878.51 17.70 49.63 8.13 (13.09)
FIFTH 2602.58 658.34 15.00 43.89 (11.57) (13.95)
FOURTH 3072.46 469.88 12.20 38.51 (12.25) (13.16)
THIRD 3385.58 313.12 9.20 34.03 (11.63) (14.01)
SECOND 3573.65 188.07 6.30 29.85 (12.29) (17.89)
FIRST 3667.34 93.69 3.70 25.32 (15.18) (65.18)
GROUND 3693.4 26.06 1.70 15.33 (39.46)
International Journal of Advanced in Management, Technology and Engineering Sciences
Volume 8, Issue III, MARCH/2018
ISSN NO : 2249-7455
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Table 5. Determination of soft storey due to lateral force caused by the earthquake in x
direction for building where wall load is applied at ground level
Storey
Design
Base
Shear
(KN)
Lateral
Force
(KN)
Diaphragm
Displacement
(mm)
Stiffness
(KN/mm)
% difference in K (30 % required)
% difference compared to
Above Storey Below Storey
MUMTY 96.93 96.93 22.70 4.27 86.27
TERRACE 722.05 625.12 20.10 31.10 628.34 7.51
SIXTH 1317.24 595.19 17.70 33.63 8.12 (13.08)
FIFTH 1763.28 446.04 15.00 29.74 (11.57) (13.96)
FOURTH 2081.63 318.35 12.20 26.09 (12.25) (13.16)
THIRD 2293.77 212.14 9.20 23.06 (11.63) (14.01)
SECOND 2421.19 127.42 6.30 20.23 (12.29) (17.90)
FIRST 2484.66 63.47 3.70 17.15 (15.19) (4.22)
GROUND 2512.64 27.98 1.70 16.46 (4.05)
Table 6. Determination of soft storey due to lateral force caused by the earthquake in y
direction for building where wall load is applied at ground level
Storey
Design
Base
Shear
(KN)
Lateral
Force
(KN)
Diaphragm
Displacement
(mm)
Stiffness
(KN/mm)
% difference in K (30
% required)
% difference compared
to
Above
Storey
Below
Storey
MUMTY 149.67 149.67 22.70 6.59 86.27
TERRACE 1114.93 965.26 20.10 48.02 628.35 7.51
SIXTH 2033.98 919.05 17.70 51.92 8.12 (13.09)
FIFTH 2722.71 688.73 15.00 45.92 (11.57) (13.95)
FOURTH 3214.28 491.57 12.20 40.29 (12.25) (13.16)
THIRD 3541.85 327.57 9.20 35.61 (11.63) (14.01)
SECOND 3738.6 196.75 6.30 31.23 (12.29) (17.90)
FIRST 3836.61 98.01 3.70 26.49 (15.18) (4.22)
GROUND 3879.82 43.21 1.70 25.42 (4.05)
As from Table 2 & 3 it can be interpreted that the % difference in k Value is 39.44 and 39.46 for X
and Y directions at ground floor level which is more than 30%, hence soft storey formation is taking
place in first case. And in Table 4 & 5 the % difference in k Value is 4.05 for both the directions
hence soft storey formation is not taking place in second case.
International Journal of Advanced in Management, Technology and Engineering Sciences
Volume 8, Issue III, MARCH/2018
ISSN NO : 2249-7455
http://ijamtes.org/957
The design base shear due to lateral force caused by the earthquake in X and Y direction for building
where wall load is not applied at ground level is 2391.92 KN and 3693.4 KN respectively, whereas it
is 2512.64 KN and 3879.82 KN in case of building where wall load is applied at ground level
respectively. It is seen that the design base shear for building where wall load is not applied at ground
level is approximately 4.80% less than for building where wall load is applied at ground level in both
X and Y direction.
7. LOAD COMBINATIONS
The load combinations are defined as per the IS 1893:2002 and modified for beams and
columns as 1.5 times storey shear and for shear wall as 1.5 times the storey shear. So
1.2(DL+LL+EQ) becomes 1.2(DL+LL+2.5EQ) for columns and beams and 1.2(DL+LL+1.5EQ) for
shear wall respectively. This modified load combination is only applied for the soft storey where there
is no wall load present and rest all floors are analyzed for standard load combinations in ETABS
9.7.4. The list of all load combinations is given in the table 6 below.
Table 7. Load combinations used for analysis in ETABS for building with and without soft
storey
LOAD COMBINATIONS
For building without soft
storey and for storey except
soft storey
For beams and columns in
soft storey
For shear walls in soft storey
1.5(DL + LL) 1.5(DL + LL) 1.5(DL + LL)
1.2(DL + LL + EQX) 1.2(DL + LL) + 3 EQX 1.2(DL + LL) + 1.8EQX
1.2(DL + LL + EQX) 1.2(DL + LL) + 3 EQY 1.2(DL + LL) + 1.8EQY
1.5(DL + EQX) 1.5 DL + 3.75 EQX 1.5 DL + 2.25 EQX
1.5(DL + EQY) 1.5 DL + 3.75 EQY 1.5 DL + 2.25 EQY
0.9 DL + 1.5 EQX 0.9 DL + 3.75 EQX 0.9 DL + 2.25 EQX
0.9 DL + 1.5 SPECY 0.9 DL + 3.75 EQY 0.9 DL + 2.25 EQY
1.2(DL + LL + SPECX) 1.2(DL + LL) + 3 SPECX 1.2(DL + LL) + 1.8SPECX
1.5(DL + SPECY) 1.5 DL + 3.75 SPECX 1.5 DL + 2.25 SPECX
1.2(DL + LL + SPECY) 0.9 DL + 3.75 SPECX 0.9 DL + 2.25 SPECX
1.5(DL + SPECX) 1.2(DL + LL) + 3 SPECY 1.2(DL + LL) + 1.8SPECY
0.9 DL + 1.5 SPECX 1.5 DL + 3.75 SPECY 1.5 DL + 2.25 SPECY
0.9 DL + 1.5 EQY 0.9 DL + 3.75 SPECY 0.9 DL + 2.25 SPECY
1.2(DL + LL - EQX) 1.5 DL - 3.75 EQX 1.2(DL + LL) - 1.8EQX
1.2(DL + LL - EQY) 1.5 DL - 3.75 EQY 1.2(DL + LL) - 1.8EQY
1.5(DL - EQX) 0.9 DL – 3.75 EQX 1.5 DL - 2.25 EQX
1.5(DL - EQY) 0.9 DL – 3.75 EQY 0.9 DL – 2.25 EQX
0.9 DL – 1.5 EQX 1.2(DL + LL) - 3 EQX 0.9 DL – 2.25 EQY
0.9 DL – 1.5 EQY 1.2(DL + LL) - 3 EQY 1.5 DL - 2.25 EQY
International Journal of Advanced in Management, Technology and Engineering Sciences
Volume 8, Issue III, MARCH/2018
ISSN NO : 2249-7455
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8. MODEL ANALYSIS
Figure 2 Diaphragm displacement at Stilt and first storey for building with and without soft
storey
Diaphragm displacement is higher for building with soft storey at ground and first storey when
compared to building without soft storey which can be seen from graph 1. The magnification factor
2.5 applied in building with soft storey is partially the reason behind this.
Figure 3 Storey Drift at different floors for building with and without soft storey
It is observed from Graph 2 that storey drift for building with soft storey is more than building
without soft storey at both ground and first storey level. The magnification factor 2.5 applied in
building with soft storey is partially the reason behind this.
0
5
10
15
20
25
30
DiaphragmDisplacement(mm)
Storeys
Diaphragm CM Displacements
Building without soft storey Building with soft storey
0
0.0005
0.001
0.0015
0.002
0.0025
StoreyDrift(m)
Storeys
Storey Drift
Building without soft storey Building with soft storey
International Journal of Advanced in Management, Technology and Engineering Sciences
Volume 8, Issue III, MARCH/2018
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Figure 4 Storey Shear at different floors for building with and without soft storey
Storey shear in building with soft storey is higher than building without soft storey as soft storey is
designed for 2.5 times magnification factor.
Figure 5 Comparison of moments in a column for building with and without soft storey
Bending moments and axial force for the column C32 in building with soft storey is higher than
building without soft storey as soft storey is designed for 2.5 times magnification factor. Modification
of load combinations caused by this factor induces more forces and moments in beams, columns and
shear walls.
-8000
-7000
-6000
-5000
-4000
-3000
-2000
-1000
0
StoreyShear(KN)
Storeys
Storey Shear
Building without soft storey Building with soft storey
0
10
20
30
40
50
60
70
80
90
TERRACESIXTHFIFTHFOURTHTHIRDSECONDFIRSTGROUND
Moment(KNm)
Storeys
Moment in Column C32
Building without soft storey Building with soft storey
International Journal of Advanced in Management, Technology and Engineering Sciences
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Figure 6 Column Layout showing Exterior(C34) and interior (C32) of building
Figure 7 Comparison of Axial Load in column C32 and C34 for building without soft storey
-2000
-1800
-1600
-1400
-1200
-1000
-800
-600
-400
-200
0
TERRACESIXTHFIFTHFOURTHTHIRDSECONDFIRSTGROUND
LOADVALUE(KN)
STOREYS
Axial Load on Column C32 v/s C34 in Building without soft
storey
Axial Load on cloumn 32 Axial load on column 34
C32
C34
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Figure 8 Comparison of Axial Load in column C32 and C34 for building with soft storey
The two columns are selected in both building without soft storey and building with soft stoorey and
the axial force in both the columns are calculated and it is seen that the interior column is having more
axial force as compared to the exterior column in both the cases. But the nature of curve is slightly
different in both the cases.
9. ESTIMATED QUANTITY OF CONCRETE
The total quantity of concrete is estimated for a single building considering all beams, columns and
the shear wall and tabulated below.
Table 8. Estimated quantity of concrete in both the buildings
Element Size (m) Volume (cum)
Beams 115 mm x 450 mm 7.2
230 mm x 450 mm 135.68
300 mm x 450 mm 55.2
350 mm x 450 mm 13.12
Sub Total 211.2
Columns
300 mm x 750 mm 83.775
350 mm x 750 mm 13.225
Sub Total 97
Shear Walls
230 mm (thick) 201.84
Sub Total 201.84
Total estimated quantity per building 510.04
-2500
-2000
-1500
-1000
-500
0
TERRACESIXTHFIFTHFOURTHTHIRDSECONDFIRSTGROUND
LOADVALUE(KN)
STOREYS
Axial Load on Column C32 v/s C34 in Building with soft
storey
Axial Load on cloumn 32 Axial load on column 34
International Journal of Advanced in Management, Technology and Engineering Sciences
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The quantity of concrete estimated is 510.04 m3
for both the cases i.e building with soft storey and
building without soft storey.
10.ESTIMATED QUANTITY OF STEEL
The model is analyzed in ETABS and then for various sections the area of steel is obtained. The
dimensions of the section are then multiplied by the corresponding area to get the quantity of steel in
cum. Using standard weight of reinforcement as 7850 kg/cum the weight of reinforcement in kg is
obtained. For Shear wall, two values of the percentage of steel for each cross-section is obtained when
analyzed using the assigned load combination and the maximum value is taken for the reinforcement
calculations. By multiplying with the length and the density of reinforcement the weight of
reinforcement is obtained. For the shear reinforcement 8 mm dia bar is considered and the average
spacing is considered as 200 mm in case of columns throughout and 150 mm near the supports. For
beams the spacing is reduced near the support till two times the effective depth of beam and taken as
125 mm and for rest of the beams it is taken as 175 mm Taking various cross-sections, the per unit
length weight of shear reinforcement is obtained.
Table 9. Weight of steel used in building with soft storey
Members Weight (kg)
Beam (Longitudinal reinforcement)
Ground & First Storey 9494.302
Second to Terrace stirey (6 levels) 23351.56
32845.86
Beam (shear reinforcement)
2.94 kg/m
Subtotal (Shear reinforcement) 5629.51
Total reinforcement in beam 38475.37
Column (Longitudinal reinforcement)
Subtotal (longitudinal reinforcement) 14140.40
Column (Shear reinforcement)
Average weight of shear reinforcement per meter length of column 13.5 kg/m
Subtotal (Shear reinforcement) 5745.6
Total reinforcement in column 19886.00
Shear Wall (Longitudinal reinforcement)
Subtotal (longitudinal reinforcement) 18190.61
Shear Wall (Shear reinforcement)
Average weight of shear reinforcement per meter length of shear wall
Shear reinforcement per meter length for Shear wall 1 18.90 kg/m
Shear reinforcement per meter length for Shear wall 2 33.64 kg/m
Shear reinforcement per meter length for Shear wall 3 55.2 kg/m
International Journal of Advanced in Management, Technology and Engineering Sciences
Volume 8, Issue III, MARCH/2018
ISSN NO : 2249-7455
http://ijamtes.org/963
Subtotal (Shear reinforcement) 8371.8
Total reinforcement in shear walls 26562.41
Total weight of reinforcement used in building with soft storey 84923.78
Table 10. Weight of steel used in building without soft storey
Members Weight (kg)
Beam (Longitudinal reinforcement)
Ground & First Storey 7430.83
Second to Terrace stirey (6 levels) 19270.19
26701.02
Beam (shear reinforcement)
2.94 kg/m
Subtotal (Shear reinforcement) 5629.51
Total reinforcement in beam 32330.53
Column (Longitudinal reinforcement)
Subtotal (longitudinal reinforcement) 10064.84
Column (Shear reinforcement)
Average weight of shear reinforcement per meter length of column 13.5 kg/m
Subtotal (Shear reinforcement) 5745.6
Total reinforcement in column 15810.44
Shear Wall (Longitudinal reinforcement)
Subtotal (longitudinal reinforcement) 13221.68
Shear Wall (Shear reinforcement)
Average weight of shear reinforcement per meter length of shear wall
Shear reinforcement per meter length for Shear wall 1 18.90 kg/m
Shear reinforcement per meter length for Shear wall 2 33.64 kg/m
Shear reinforcement per meter length for Shear wall 3 55.2 kg/m
Subtotal (Shear reinforcement) 8371.8
Total reinforcement in shear walls 21593.48
Total weight of reinforcement used in building without soft storey 69734.45
Total built up area = 2920.92 m2
Total requirement of reinforcement for structural frame (beams & Columns) in building with
soft storey = 84923.78/2920.92 = 29.07 kg/m2
International Journal of Advanced in Management, Technology and Engineering Sciences
Volume 8, Issue III, MARCH/2018
ISSN NO : 2249-7455
http://ijamtes.org/964
Total requirement of reinforcement for structural frame (beams & Columns) in building
without soft storey = 69734.45/2920.92 = 23.87 kg/m2
11.COSTING
The cost of reinforcement (Fe-500D) (code No 1005) taken from Delhi schedule of Rates is
INR 3730/Quintal i.e INR 37.30/kg (Analysis Of Rates for Delhi, Part – I, Volume – 1, 2016). For the
building without soft storey the total cost of reinforcement consumed (Fe-500D) = 69734.45 x
37.30/kg = INR 2601094.99 and for the building with soft storey the cost of reinforcement consumed
(Fe-500D) = 84923.78 x 37.30/kg = INR 3167656.99. The cost difference is 21.78 %.
12. RESULT
The quantity of steel per sqm of built-up area is increased from 23.87 kg/sqm to 29.07
kg/sqm. Likewise, the total steel in case of building without soft storey was 69734.45 kg and in case
of building with soft storey it was 84923.78 kg. and the per sqm of built-up area cost in case of
building without soft storey is 23.87 INR/sqm while the per sqm of built-up area cost in case of
building with soft storey is 29.07 INR/sqm.
13.CONCLUSION
The soft storey configuration is almost unavoidable as it gives vast functional and aesthetic
opportunity to a designer. But when designed with taking suitable parameters for both the buildings
the comparison shows that the structural cost difference as well as difference in the quantity of steel
for building with soft storey and building without soft storey is 21.78%. This approximate increase of
21.78% is significant in this case and may be a deciding factor for large scale projects. In the
performance analysis it is seen that when different geometrical as well as seismic parameters are
considered the Diaphragm displacement, storey drift, storey shear, bending moment & shear force are
always greater when the storey is soft storey in the building. To avoid the structural damage of the
building during earthquake because if the sift storey there should not be communication gap between
various consultants e.g architectural, structural as well as between various government authorities
including local bodies those are associated with the final approval of a building.
References:
[1] A. H. D. Vipin V. Halde, "REVIEW ON BEHAVIOR OF SOFT STOREY IN BUILDING,"
International Research Journal of Engineering and Technology (IRJET), pp. 327-329, 2015.
[2] D. G. N. D. S. Arunkumar, "A Review on Study on Strengthening of Soft Storey Building for
Seismic Resistance," International Journal of Innovative Research in Science, Engineering and
Technology, pp. 9875-9880, 2015.
[3] *. J. L. W. N. T. L. E. F. G. Ari Wibowoa, "Collapse behaviour assessment of precast soft
storey building," in The 5th International Conference of Euro Asia Civil Engineering Forum
(EACEF-5), 2015.
[4] D. N. K. D. H. G. Dr. Mizan DOĞAN, "SOFT-STOREY BEHAVIOUR IN AN
EARTHQUAKE and SAMPLES OF IZMIT-DUZCE," in ECAS 2002 Uluslarararası Yapı ve
Deprem Mühendisliği Sempozyumu, Ankara, Türkiye, 2002.
[5] R. G. A. R. V. V. V. M. C. V. R. Murty, "Some Concepts in Earthquake Behaviour of
Buildings," Gujarat State Disaster Management Authority, 2013.
International Journal of Advanced in Management, Technology and Engineering Sciences
Volume 8, Issue III, MARCH/2018
ISSN NO : 2249-7455
http://ijamtes.org/965
[6] S. H. L. Aslam Faqeer Mohammad, "Assessment of Infill Framed Building Constructed after
2005 Earthquake in Muzzafrabad," in THE FIFTHTEENTH WORLD CONFERENCE ON
EARTHQUAKE ENGINEERING, LISBON, PORTUGAL, 2012.
[7] Analysis Of Rates for Delhi, Part – I, Volume – 1, DELHI: Central Public Works Department,
Government of India, 2016.
International Journal of Advanced in Management, Technology and Engineering Sciences
Volume 8, Issue III, MARCH/2018
ISSN NO : 2249-7455
http://ijamtes.org/966

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ijamtes Md Asif Akbari 9521930692

  • 1. Multilateral Seismic and Cost Assessment Of Building with Stiffness Irregularity In Zone V Prof. Virendra Kumar Paul1 , Salman Khursheed* , Md Asif Akbari2 1 Professor, Department of Building Engineering & Management, SPA, Delhi, India * Assistant Professor, Dept. of BEM, SPA, Delhi, India 2 Research Scholar, Dept. of BEM, School of Planning and Architecture, Delhi, India 1 (Vk.paul@spa.ac.in), * (salman.khursheed@spa.ac.in) ,2 (akbariasif12@gmail.com) Abstract Parking facility in high rise buildings is essential these days because of the lack of spaces and the need of green area around the building. When such facility is provided on the stilt level; it results in a soft story. Basically because of the lack of infill walls or due to difference in the floor height the discontinuity in the rigidity of structure happens that is called the soft storey. It behaves differently from rest of the structures at the time of earthquake that results in stress concentration and ultimately damage to the structure. As per Indian codal provisions IS:1893 (2002) the columns, beams and shear walls of the soft storey are to be designed for higher storey shear forces. Higher the storey shear more will be sectional area of steel and concrete. In this paper, an attempt has been made to compare the structural cost of a basement, ground and 6 upper floors building with and without the provision of soft storey (Stilt floor) through dynamic analysis of a residential building in Zone-V comprises of entire northeastern India, parts of Jammu and Kashmir, Himachal Pradesh, Uttaranchal, Rann of Kutch in Gujarat, parts of North Bihar and Andaman & Nicobar Islands. The results of the study would open the door for further research in the area of seismic design of structures under different seismic intensities and related cost management studies. Keywords: Structural Modeling, Cost Assessment, Seismic Analysis, ETABS, Building Modeling. 1. INTRODUCTION Post analysis on a building shows that the building always cracks from the weakest point present on it. It is also a mare truth that we can’t build fully earthquake resistant structure but can consider earthquake effect at the design stages because the actual forces that appear on the structure during earthquake is much greater than the design force. The earthquake force at different level come down along the column to the ground which is called the load path. If abnormal inter-storey drifts occurs between adjacent stories, the distribution of lateral forces do not occur suitably throughout the structure and it gets concentrated on the storey having large displacement. (Vipin V. Halde, 2015) the We define a term soft storey for those buildings which has no or very few infill walls at a floor. As in a soft storey building the stress get concentrated on the ground storey as there is no or very few infill walls on that floor which leads to the damage or collapse of the building. The seismic performance of the soft storey building were very poor, when compared with the normal RC Structure (S. Arunkumar, 2015). Most of the cases in Indian scenario the open spaces in soft storey is desirable either aesthetically or commercially for the purpose of recreational use, parking or for retail or commercial site. Hence there is very less opportunity to provide walls for distribution of lateral forces and to make building to manage the swaying characteristic of an earthquake. Many buildings with an open ground storey intended for parking collapsed or were severely damaged in Gujarat during the 2001 Bhuj International Journal of Advanced in Management, Technology and Engineering Sciences Volume 8, Issue III, MARCH/2018 ISSN NO : 2249-7455 http://ijamtes.org/951
  • 2. earthquake. As per IS:1893(2002), the soft storey is defined as one which has lateral stiffness less than 70% of the storey above or less than 80% of average lateral stiffness of the three storey above, i.e. ki < 0.7 ki+1 ( 1) or ki < 0.8(ki+1+ki+2+ki+3)/3 ( 2) Where Ki is the lateral stiffness at ith floor. ASCE 7-05 Reference Section Table 12.6-1 defines that the lateral stiffness of soft storey is less than 70% of that in the storey immediately above, or less than 80% of average stiffness of the three stories above. The buildings that are called as soft storey building has a discontinuity in the stiffness of the building, which have at least one of the following characteristics: (a) one storey is significantly more flexible than adjacent storeys, (b) have vertical discontinuity (e.g. possess fewer columns in one storey than that of storey above), (c) have a heavy superstructure (Ari Wibowoa, 2015). 2. Objective The objective of this research paper is to compare the structural cost of two building in seismic zone V with and without shear storey on ground floor as per different provisions provided in the relevant Indian Standard codes. The specifications of structural members, the moment of inertia and the quantity of concrete is considered same for both the structures with and without soft storey. The comparison is done in terms of the extra reinforcement provided only. Further this paper provides scope for the correlation between the number of storey and the structural cost. 3. Description of Soft Storey And Related Codal Provisions The earthquake causes shaking of ground and in turn generates inertia forces that are proportional to the building mass. Since most of the building mass is present at floor level, earthquake induced forces are maximum at floor levels. These forces when travels down on the load path when finds irregularity in terms of lateral stiffness a stress concentration takes place that leads to the breakdown of the structure. Soft storey is the one of which the rigidity is lower than any other storeys due to the fact that it has not got the walls with the same properties the other ones have. If vertical load bearing structural elements and the partitioning wall continue in all the storeys, there is no soft storey in the construction. Soft storey is generally present at the entrance floors of the buildings. This situation depends on the constructional properties of the cities and countries (Dr. Mizan DOĞAN, 2002). When the stiffness irregularity is noticed in the structural analysis of the building subjected to equivalent static lateral loads, designers may choose one of following options, namely (a) Designing all members of the frame according to the irregular forces, (b) Strengthening the columns and beams in the vicinity of the irregularity for higher forces than those received from structural analysis, and (c) Reducing the stiffness irregularity by adding a new stiff lateral load resisting system in the building, whose lateral stiffness is much larger than that of the original system of the building that has irregularity, e.g., RC structural wall in a RC moment frame building with unreinforced masonry infills (C. V. R. Murty, 2013). As per Indian Standard 1893:2002 Part I, there is two more term defined apart from the soft storey which is weak storey, i.e in which the storey lateral strength is less than 80 percent of that in the storey above. International Journal of Advanced in Management, Technology and Engineering Sciences Volume 8, Issue III, MARCH/2018 ISSN NO : 2249-7455 http://ijamtes.org/952
  • 3. ki < 0.8 ki+1 (3) and extreme soft storey is one in which the lateral stiffness is less than 60 percent of that in the storey above or less than 70 percent of the average stiffens of the three storeys above. Ki < 0.6 ki+1 ( 4) or ki < 0.7(ki+1+ki+2+ki+3)/3 ( 5) Where Ki is the lateral stiffness at ith floor. As far as the design consideration is concerned, IS 1893:2002 Part I Suggests the following:  Dynamic analysis of building is carried out including the strength and stiffness effects of infills and inelastic deformations in the members particularly those in the soft storey. If we neglect the effect of infills in other storey then the following design criteria can be adopted:  The columns and beams of the soft storey are to be designed for 2.5 times the storey shear and moments calculated under seismic load.  Besides the columns design and detailed for the calculated storey shear and moments shear walls placed symmetrically in both the direction of the building shall be designed for 1.5 times the lateral storey shear force. As per IS 1893:2002, there are two kinds of building frames  Ordinary Moment Resisting Frame (OMRF) – It is a moment resisting frame not meeting special detailing for ductile failure.  Special Moment Resisting Frame (SMRF) – It is a moment resisting frame specially detailed to provide ductile behavior and comply with the requirements of Indian Standard. In this paper the analysis is done considering SMRF framed building structure. As per IS 1893:2002 Part I {7.6.2 (a)}, the time period of vibration including moment-resisting frame buildings with masonry infill wall panels is Ta = (0.09h)/sqrt(dx) ( 6) Where, h = Height of building, in m, as defined in IS 1893:2002 Part I, 7.6.2 (a); and dx = Base dimension (in m) of the building at the plinth level along the considered direction of the lateral force. 4. Methodology of Building Modeling In this research two residential buildings of basement, ground and 6 upper floors, one with infill walls in all floors and other with infill walls in all floors except the stilt floor (Soft Storey) is taken in zone - V for analysis purpose. These two building are modeled using ETABS (9.7.4) version. The structural details of buildings are shown in Table 1. Table 1. Description of building Modelling details of building Area 10 m x 30 m Storey details Basement + Ground + 6 storeys Frame type SMRF (Special Moment Resisting Frame) Height of basement 5 m Height of ground storey 2.7 m Height of typical storey 3.15 m Purpose Residential Foundation support system Fixed International Journal of Advanced in Management, Technology and Engineering Sciences Volume 8, Issue III, MARCH/2018 ISSN NO : 2249-7455 http://ijamtes.org/953
  • 4. Seismic Zone Zone – V Zone Factor (z) 0.36 Type of soil Medium Damping Ratio 5% Response Reduction Factor (R) 5 Importance Factor (I) 1 Time period in X direction 0.84 sec [Clause 7.6.2, IS:1893: 2002, Part -I] Time period in Y direction 0.50 sec [Clause 7.6.2, IS:1893: 2002, Part -I] Material Properties Grade of reinforcement (longitudinal/main) Fe-500 Grade of reinforcement (Shear/ties) Fe-415 Concrete Grade of concrete M25 Young’s Modulus (E) 25 x 106 KN/sqm Density 25 KN/cum Poisson’s ratio 0.20 Structural members Thickness of slab 130 mm Thickness of wall 115 mm & 230 mm Thickness of shear wall 230 mm Dimension of beam 115 mm x 450 mm 230 mm x 450 mm 300 mm x 450 mm 350 mm x 450 mm Dimension of column 300 mm x 75 mm 350 mm x 750 mm Dead Load Intensities For 230 mm thick wall 13.5 KN/m For 115 mm thick wall 7.5 KN/m For parapet wall 5.61 KN/m For railing 3.0 KN/m For ceiling plaster and floor finish 1.45 KN/sqm For ceiling plaster and brick coba 2.75 KN/sqm For sunken portion (450 mm) 4.05 KN/sqm For staircase 9.2 KN/sqm Live Load Intensities For toilet, kitchen and living room 2 KN/sqm For staircase, balcony, corridor and lobby area 3 KN/sqm For accessible portion of terrace 1.5 KN/sqm For non-accessible portion of terrace 0.75 KN/sqm For parking area 5 KN/sqm International Journal of Advanced in Management, Technology and Engineering Sciences Volume 8, Issue III, MARCH/2018 ISSN NO : 2249-7455 http://ijamtes.org/954
  • 5. 5. STRUCTURAL MODE As per the model the building comprises of one basement, one stilt floor and 6 floor above it. The same is modeled in ETABS 2015 (Version 15.2.0 beams, shear walls. The Following are the properties assigned to structural members. Sl. No. Element Type 1 Beam & Columns Line Element 2 Slabs (Rectangular) Area Element 3 Shear wall Area Element Other non-structural components that don’t lumping mass at different floor levels are defined as per the code. having basement, ground and 6 storeys along with plan of the building. Both the buildings are similar except that there is no wall load on ground storey in building with soft storey. Figure 1 3D view of building 6. SOFT STOREY CHECK As per IS 1893:2002 (Part1) classified as soft storey. From this it can be interpreted that if the maximum variation between two storeys is more than 30% then the stor 2012). In the below provide table 2 & 3 the % difference in K value between two adjacent floors is calculated based on the design base shear generated in ETAB respectively when there is no wall load applied on the ground floor. In table 4 & 5 the % difference in K value between two adjacent floors is calculated based on the design base shear generated in ETABS 9.7.4 in X direction and Y direction respectively when there is wall load applied on the ground floor. CTURAL MODELING AND ANALYSIS As per the model the building comprises of one basement, one stilt floor and 6 floor above it. ETABS 2015 (Version 15.2.0). The structural system includes columns, beams, shear walls. The Following are the properties assigned to structural members. Table 2. Member Properties Properties Nodes Line Element Member 2 ea Element Shell 4 Area Element Member 4 components that don’t have a significant role in analysis are not modeled. lumping mass at different floor levels are defined as per the code. Figure 1 shows 3D view of build having basement, ground and 6 storeys along with plan of the building. Both the buildings are similar except that there is no wall load on ground storey in building with soft storey. 3D view of building modeled using ETABS 9.7.4 SOFT STOREY CHECK As per IS 1893:2002 (Part1) if the stiffness is less than 70% of above storey then it will be classified as soft storey. From this it can be interpreted that if the maximum variation between two hen the storey is classified as soft storey (Aslam Faqeer Mohammad, . In the below provide table 2 & 3 the % difference in K value between two adjacent floors is calculated based on the design base shear generated in ETABS 9.7.4 in X direction and Y direction respectively when there is no wall load applied on the ground floor. In table 4 & 5 the % difference in K value between two adjacent floors is calculated based on the design base shear generated in ETABS rection and Y direction respectively when there is wall load applied on the ground floor. As per the model the building comprises of one basement, one stilt floor and 6 floor above it. cludes columns, analysis are not modeled. The Figure 1 shows 3D view of building having basement, ground and 6 storeys along with plan of the building. Both the buildings are similar if the stiffness is less than 70% of above storey then it will be classified as soft storey. From this it can be interpreted that if the maximum variation between two (Aslam Faqeer Mohammad, . In the below provide table 2 & 3 the % difference in K value between two adjacent floors is S 9.7.4 in X direction and Y direction respectively when there is no wall load applied on the ground floor. In table 4 & 5 the % difference in K value between two adjacent floors is calculated based on the design base shear generated in ETABS rection and Y direction respectively when there is wall load applied on the ground floor. International Journal of Advanced in Management, Technology and Engineering Sciences Volume 8, Issue III, MARCH/2018 ISSN NO : 2249-7455 http://ijamtes.org/955
  • 6. Table 3. Determination of soft storey due to lateral force caused by the earthquake in X direction for building where wall load is not applied at ground level Storey Design Base Shear (KN) Lateral Force (KN) Diaphragm Displacement (mm) Stiffness (KN/mm) % difference in K (30 % required) % difference compared to Above Storey Below Storey MUMTY 92.66 92.66 22.70 4.08 86.27 TERRACE 690.19 597.53 20.10 29.73 628.28 7.52 SIXTH 1259.13 568.94 17.70 32.14 8.13 (13.09) FIFTH 1685.48 426.35 15.00 28.42 (11.57) (13.95) FOURTH 1989.78 304.3 12.20 24.94 (12.25) (13.16) THIRD 2192.57 202.79 9.20 22.04 (11.63) (14.01) SECOND 2314.37 121.8 6.30 19.33 (12.29) (17.91) FIRST 2375.04 60.67 3.70 16.40 (15.19) (65.14) GROUND 2391.92 16.88 1.70 9.93 (39.44) Table 4. Determination of soft storey due to lateral force caused by the earthquake in Y direction for building where wall load is not applied at ground level Storey Design Base Shear (KN) Lateral Force (KN) Diaphragm Displacement (mm) Stiffness (KN/mm) % difference in K (30 % required) % difference compared to Above Storey Below Storey MUMTY 143.07 143.07 22.70 6.30 86.27 TERRACE 1065.73 922.66 20.10 45.90 628.32 7.51 SIXTH 1944.24 878.51 17.70 49.63 8.13 (13.09) FIFTH 2602.58 658.34 15.00 43.89 (11.57) (13.95) FOURTH 3072.46 469.88 12.20 38.51 (12.25) (13.16) THIRD 3385.58 313.12 9.20 34.03 (11.63) (14.01) SECOND 3573.65 188.07 6.30 29.85 (12.29) (17.89) FIRST 3667.34 93.69 3.70 25.32 (15.18) (65.18) GROUND 3693.4 26.06 1.70 15.33 (39.46) International Journal of Advanced in Management, Technology and Engineering Sciences Volume 8, Issue III, MARCH/2018 ISSN NO : 2249-7455 http://ijamtes.org/956
  • 7. Table 5. Determination of soft storey due to lateral force caused by the earthquake in x direction for building where wall load is applied at ground level Storey Design Base Shear (KN) Lateral Force (KN) Diaphragm Displacement (mm) Stiffness (KN/mm) % difference in K (30 % required) % difference compared to Above Storey Below Storey MUMTY 96.93 96.93 22.70 4.27 86.27 TERRACE 722.05 625.12 20.10 31.10 628.34 7.51 SIXTH 1317.24 595.19 17.70 33.63 8.12 (13.08) FIFTH 1763.28 446.04 15.00 29.74 (11.57) (13.96) FOURTH 2081.63 318.35 12.20 26.09 (12.25) (13.16) THIRD 2293.77 212.14 9.20 23.06 (11.63) (14.01) SECOND 2421.19 127.42 6.30 20.23 (12.29) (17.90) FIRST 2484.66 63.47 3.70 17.15 (15.19) (4.22) GROUND 2512.64 27.98 1.70 16.46 (4.05) Table 6. Determination of soft storey due to lateral force caused by the earthquake in y direction for building where wall load is applied at ground level Storey Design Base Shear (KN) Lateral Force (KN) Diaphragm Displacement (mm) Stiffness (KN/mm) % difference in K (30 % required) % difference compared to Above Storey Below Storey MUMTY 149.67 149.67 22.70 6.59 86.27 TERRACE 1114.93 965.26 20.10 48.02 628.35 7.51 SIXTH 2033.98 919.05 17.70 51.92 8.12 (13.09) FIFTH 2722.71 688.73 15.00 45.92 (11.57) (13.95) FOURTH 3214.28 491.57 12.20 40.29 (12.25) (13.16) THIRD 3541.85 327.57 9.20 35.61 (11.63) (14.01) SECOND 3738.6 196.75 6.30 31.23 (12.29) (17.90) FIRST 3836.61 98.01 3.70 26.49 (15.18) (4.22) GROUND 3879.82 43.21 1.70 25.42 (4.05) As from Table 2 & 3 it can be interpreted that the % difference in k Value is 39.44 and 39.46 for X and Y directions at ground floor level which is more than 30%, hence soft storey formation is taking place in first case. And in Table 4 & 5 the % difference in k Value is 4.05 for both the directions hence soft storey formation is not taking place in second case. International Journal of Advanced in Management, Technology and Engineering Sciences Volume 8, Issue III, MARCH/2018 ISSN NO : 2249-7455 http://ijamtes.org/957
  • 8. The design base shear due to lateral force caused by the earthquake in X and Y direction for building where wall load is not applied at ground level is 2391.92 KN and 3693.4 KN respectively, whereas it is 2512.64 KN and 3879.82 KN in case of building where wall load is applied at ground level respectively. It is seen that the design base shear for building where wall load is not applied at ground level is approximately 4.80% less than for building where wall load is applied at ground level in both X and Y direction. 7. LOAD COMBINATIONS The load combinations are defined as per the IS 1893:2002 and modified for beams and columns as 1.5 times storey shear and for shear wall as 1.5 times the storey shear. So 1.2(DL+LL+EQ) becomes 1.2(DL+LL+2.5EQ) for columns and beams and 1.2(DL+LL+1.5EQ) for shear wall respectively. This modified load combination is only applied for the soft storey where there is no wall load present and rest all floors are analyzed for standard load combinations in ETABS 9.7.4. The list of all load combinations is given in the table 6 below. Table 7. Load combinations used for analysis in ETABS for building with and without soft storey LOAD COMBINATIONS For building without soft storey and for storey except soft storey For beams and columns in soft storey For shear walls in soft storey 1.5(DL + LL) 1.5(DL + LL) 1.5(DL + LL) 1.2(DL + LL + EQX) 1.2(DL + LL) + 3 EQX 1.2(DL + LL) + 1.8EQX 1.2(DL + LL + EQX) 1.2(DL + LL) + 3 EQY 1.2(DL + LL) + 1.8EQY 1.5(DL + EQX) 1.5 DL + 3.75 EQX 1.5 DL + 2.25 EQX 1.5(DL + EQY) 1.5 DL + 3.75 EQY 1.5 DL + 2.25 EQY 0.9 DL + 1.5 EQX 0.9 DL + 3.75 EQX 0.9 DL + 2.25 EQX 0.9 DL + 1.5 SPECY 0.9 DL + 3.75 EQY 0.9 DL + 2.25 EQY 1.2(DL + LL + SPECX) 1.2(DL + LL) + 3 SPECX 1.2(DL + LL) + 1.8SPECX 1.5(DL + SPECY) 1.5 DL + 3.75 SPECX 1.5 DL + 2.25 SPECX 1.2(DL + LL + SPECY) 0.9 DL + 3.75 SPECX 0.9 DL + 2.25 SPECX 1.5(DL + SPECX) 1.2(DL + LL) + 3 SPECY 1.2(DL + LL) + 1.8SPECY 0.9 DL + 1.5 SPECX 1.5 DL + 3.75 SPECY 1.5 DL + 2.25 SPECY 0.9 DL + 1.5 EQY 0.9 DL + 3.75 SPECY 0.9 DL + 2.25 SPECY 1.2(DL + LL - EQX) 1.5 DL - 3.75 EQX 1.2(DL + LL) - 1.8EQX 1.2(DL + LL - EQY) 1.5 DL - 3.75 EQY 1.2(DL + LL) - 1.8EQY 1.5(DL - EQX) 0.9 DL – 3.75 EQX 1.5 DL - 2.25 EQX 1.5(DL - EQY) 0.9 DL – 3.75 EQY 0.9 DL – 2.25 EQX 0.9 DL – 1.5 EQX 1.2(DL + LL) - 3 EQX 0.9 DL – 2.25 EQY 0.9 DL – 1.5 EQY 1.2(DL + LL) - 3 EQY 1.5 DL - 2.25 EQY International Journal of Advanced in Management, Technology and Engineering Sciences Volume 8, Issue III, MARCH/2018 ISSN NO : 2249-7455 http://ijamtes.org/958
  • 9. 8. MODEL ANALYSIS Figure 2 Diaphragm displacement at Stilt and first storey for building with and without soft storey Diaphragm displacement is higher for building with soft storey at ground and first storey when compared to building without soft storey which can be seen from graph 1. The magnification factor 2.5 applied in building with soft storey is partially the reason behind this. Figure 3 Storey Drift at different floors for building with and without soft storey It is observed from Graph 2 that storey drift for building with soft storey is more than building without soft storey at both ground and first storey level. The magnification factor 2.5 applied in building with soft storey is partially the reason behind this. 0 5 10 15 20 25 30 DiaphragmDisplacement(mm) Storeys Diaphragm CM Displacements Building without soft storey Building with soft storey 0 0.0005 0.001 0.0015 0.002 0.0025 StoreyDrift(m) Storeys Storey Drift Building without soft storey Building with soft storey International Journal of Advanced in Management, Technology and Engineering Sciences Volume 8, Issue III, MARCH/2018 ISSN NO : 2249-7455 http://ijamtes.org/959
  • 10. Figure 4 Storey Shear at different floors for building with and without soft storey Storey shear in building with soft storey is higher than building without soft storey as soft storey is designed for 2.5 times magnification factor. Figure 5 Comparison of moments in a column for building with and without soft storey Bending moments and axial force for the column C32 in building with soft storey is higher than building without soft storey as soft storey is designed for 2.5 times magnification factor. Modification of load combinations caused by this factor induces more forces and moments in beams, columns and shear walls. -8000 -7000 -6000 -5000 -4000 -3000 -2000 -1000 0 StoreyShear(KN) Storeys Storey Shear Building without soft storey Building with soft storey 0 10 20 30 40 50 60 70 80 90 TERRACESIXTHFIFTHFOURTHTHIRDSECONDFIRSTGROUND Moment(KNm) Storeys Moment in Column C32 Building without soft storey Building with soft storey International Journal of Advanced in Management, Technology and Engineering Sciences Volume 8, Issue III, MARCH/2018 ISSN NO : 2249-7455 http://ijamtes.org/960
  • 11. Figure 6 Column Layout showing Exterior(C34) and interior (C32) of building Figure 7 Comparison of Axial Load in column C32 and C34 for building without soft storey -2000 -1800 -1600 -1400 -1200 -1000 -800 -600 -400 -200 0 TERRACESIXTHFIFTHFOURTHTHIRDSECONDFIRSTGROUND LOADVALUE(KN) STOREYS Axial Load on Column C32 v/s C34 in Building without soft storey Axial Load on cloumn 32 Axial load on column 34 C32 C34 International Journal of Advanced in Management, Technology and Engineering Sciences Volume 8, Issue III, MARCH/2018 ISSN NO : 2249-7455 http://ijamtes.org/961
  • 12. Figure 8 Comparison of Axial Load in column C32 and C34 for building with soft storey The two columns are selected in both building without soft storey and building with soft stoorey and the axial force in both the columns are calculated and it is seen that the interior column is having more axial force as compared to the exterior column in both the cases. But the nature of curve is slightly different in both the cases. 9. ESTIMATED QUANTITY OF CONCRETE The total quantity of concrete is estimated for a single building considering all beams, columns and the shear wall and tabulated below. Table 8. Estimated quantity of concrete in both the buildings Element Size (m) Volume (cum) Beams 115 mm x 450 mm 7.2 230 mm x 450 mm 135.68 300 mm x 450 mm 55.2 350 mm x 450 mm 13.12 Sub Total 211.2 Columns 300 mm x 750 mm 83.775 350 mm x 750 mm 13.225 Sub Total 97 Shear Walls 230 mm (thick) 201.84 Sub Total 201.84 Total estimated quantity per building 510.04 -2500 -2000 -1500 -1000 -500 0 TERRACESIXTHFIFTHFOURTHTHIRDSECONDFIRSTGROUND LOADVALUE(KN) STOREYS Axial Load on Column C32 v/s C34 in Building with soft storey Axial Load on cloumn 32 Axial load on column 34 International Journal of Advanced in Management, Technology and Engineering Sciences Volume 8, Issue III, MARCH/2018 ISSN NO : 2249-7455 http://ijamtes.org/962
  • 13. The quantity of concrete estimated is 510.04 m3 for both the cases i.e building with soft storey and building without soft storey. 10.ESTIMATED QUANTITY OF STEEL The model is analyzed in ETABS and then for various sections the area of steel is obtained. The dimensions of the section are then multiplied by the corresponding area to get the quantity of steel in cum. Using standard weight of reinforcement as 7850 kg/cum the weight of reinforcement in kg is obtained. For Shear wall, two values of the percentage of steel for each cross-section is obtained when analyzed using the assigned load combination and the maximum value is taken for the reinforcement calculations. By multiplying with the length and the density of reinforcement the weight of reinforcement is obtained. For the shear reinforcement 8 mm dia bar is considered and the average spacing is considered as 200 mm in case of columns throughout and 150 mm near the supports. For beams the spacing is reduced near the support till two times the effective depth of beam and taken as 125 mm and for rest of the beams it is taken as 175 mm Taking various cross-sections, the per unit length weight of shear reinforcement is obtained. Table 9. Weight of steel used in building with soft storey Members Weight (kg) Beam (Longitudinal reinforcement) Ground & First Storey 9494.302 Second to Terrace stirey (6 levels) 23351.56 32845.86 Beam (shear reinforcement) 2.94 kg/m Subtotal (Shear reinforcement) 5629.51 Total reinforcement in beam 38475.37 Column (Longitudinal reinforcement) Subtotal (longitudinal reinforcement) 14140.40 Column (Shear reinforcement) Average weight of shear reinforcement per meter length of column 13.5 kg/m Subtotal (Shear reinforcement) 5745.6 Total reinforcement in column 19886.00 Shear Wall (Longitudinal reinforcement) Subtotal (longitudinal reinforcement) 18190.61 Shear Wall (Shear reinforcement) Average weight of shear reinforcement per meter length of shear wall Shear reinforcement per meter length for Shear wall 1 18.90 kg/m Shear reinforcement per meter length for Shear wall 2 33.64 kg/m Shear reinforcement per meter length for Shear wall 3 55.2 kg/m International Journal of Advanced in Management, Technology and Engineering Sciences Volume 8, Issue III, MARCH/2018 ISSN NO : 2249-7455 http://ijamtes.org/963
  • 14. Subtotal (Shear reinforcement) 8371.8 Total reinforcement in shear walls 26562.41 Total weight of reinforcement used in building with soft storey 84923.78 Table 10. Weight of steel used in building without soft storey Members Weight (kg) Beam (Longitudinal reinforcement) Ground & First Storey 7430.83 Second to Terrace stirey (6 levels) 19270.19 26701.02 Beam (shear reinforcement) 2.94 kg/m Subtotal (Shear reinforcement) 5629.51 Total reinforcement in beam 32330.53 Column (Longitudinal reinforcement) Subtotal (longitudinal reinforcement) 10064.84 Column (Shear reinforcement) Average weight of shear reinforcement per meter length of column 13.5 kg/m Subtotal (Shear reinforcement) 5745.6 Total reinforcement in column 15810.44 Shear Wall (Longitudinal reinforcement) Subtotal (longitudinal reinforcement) 13221.68 Shear Wall (Shear reinforcement) Average weight of shear reinforcement per meter length of shear wall Shear reinforcement per meter length for Shear wall 1 18.90 kg/m Shear reinforcement per meter length for Shear wall 2 33.64 kg/m Shear reinforcement per meter length for Shear wall 3 55.2 kg/m Subtotal (Shear reinforcement) 8371.8 Total reinforcement in shear walls 21593.48 Total weight of reinforcement used in building without soft storey 69734.45 Total built up area = 2920.92 m2 Total requirement of reinforcement for structural frame (beams & Columns) in building with soft storey = 84923.78/2920.92 = 29.07 kg/m2 International Journal of Advanced in Management, Technology and Engineering Sciences Volume 8, Issue III, MARCH/2018 ISSN NO : 2249-7455 http://ijamtes.org/964
  • 15. Total requirement of reinforcement for structural frame (beams & Columns) in building without soft storey = 69734.45/2920.92 = 23.87 kg/m2 11.COSTING The cost of reinforcement (Fe-500D) (code No 1005) taken from Delhi schedule of Rates is INR 3730/Quintal i.e INR 37.30/kg (Analysis Of Rates for Delhi, Part – I, Volume – 1, 2016). For the building without soft storey the total cost of reinforcement consumed (Fe-500D) = 69734.45 x 37.30/kg = INR 2601094.99 and for the building with soft storey the cost of reinforcement consumed (Fe-500D) = 84923.78 x 37.30/kg = INR 3167656.99. The cost difference is 21.78 %. 12. RESULT The quantity of steel per sqm of built-up area is increased from 23.87 kg/sqm to 29.07 kg/sqm. Likewise, the total steel in case of building without soft storey was 69734.45 kg and in case of building with soft storey it was 84923.78 kg. and the per sqm of built-up area cost in case of building without soft storey is 23.87 INR/sqm while the per sqm of built-up area cost in case of building with soft storey is 29.07 INR/sqm. 13.CONCLUSION The soft storey configuration is almost unavoidable as it gives vast functional and aesthetic opportunity to a designer. But when designed with taking suitable parameters for both the buildings the comparison shows that the structural cost difference as well as difference in the quantity of steel for building with soft storey and building without soft storey is 21.78%. This approximate increase of 21.78% is significant in this case and may be a deciding factor for large scale projects. In the performance analysis it is seen that when different geometrical as well as seismic parameters are considered the Diaphragm displacement, storey drift, storey shear, bending moment & shear force are always greater when the storey is soft storey in the building. To avoid the structural damage of the building during earthquake because if the sift storey there should not be communication gap between various consultants e.g architectural, structural as well as between various government authorities including local bodies those are associated with the final approval of a building. References: [1] A. H. D. Vipin V. Halde, "REVIEW ON BEHAVIOR OF SOFT STOREY IN BUILDING," International Research Journal of Engineering and Technology (IRJET), pp. 327-329, 2015. [2] D. G. N. D. S. Arunkumar, "A Review on Study on Strengthening of Soft Storey Building for Seismic Resistance," International Journal of Innovative Research in Science, Engineering and Technology, pp. 9875-9880, 2015. [3] *. J. L. W. N. T. L. E. F. G. Ari Wibowoa, "Collapse behaviour assessment of precast soft storey building," in The 5th International Conference of Euro Asia Civil Engineering Forum (EACEF-5), 2015. [4] D. N. K. D. H. G. Dr. Mizan DOĞAN, "SOFT-STOREY BEHAVIOUR IN AN EARTHQUAKE and SAMPLES OF IZMIT-DUZCE," in ECAS 2002 Uluslarararası Yapı ve Deprem Mühendisliği Sempozyumu, Ankara, Türkiye, 2002. [5] R. G. A. R. V. V. V. M. C. V. R. Murty, "Some Concepts in Earthquake Behaviour of Buildings," Gujarat State Disaster Management Authority, 2013. International Journal of Advanced in Management, Technology and Engineering Sciences Volume 8, Issue III, MARCH/2018 ISSN NO : 2249-7455 http://ijamtes.org/965
  • 16. [6] S. H. L. Aslam Faqeer Mohammad, "Assessment of Infill Framed Building Constructed after 2005 Earthquake in Muzzafrabad," in THE FIFTHTEENTH WORLD CONFERENCE ON EARTHQUAKE ENGINEERING, LISBON, PORTUGAL, 2012. [7] Analysis Of Rates for Delhi, Part – I, Volume – 1, DELHI: Central Public Works Department, Government of India, 2016. International Journal of Advanced in Management, Technology and Engineering Sciences Volume 8, Issue III, MARCH/2018 ISSN NO : 2249-7455 http://ijamtes.org/966