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ACEE Int. J. on Civil and Environmental Engineering, Vol. 2, No. 1, Aug 2013

Seismic Vulnerability Assessment of Steel
Moment Resisting Frame due to Infill Masonry
Walls, Variation in Column Size and Horizontal
Buckling Restrained Braces
MagarPatilH.R.1 ,Jangid R.S.2
Department of Civil Engineering, IIT Bombay, Powai, Mumbai – 400 076.
1
Ph.D. Student (e-mail: hemant.359267@gmail.com)
2
Professor (e-mail: rsjangid@civil.iitb.ac.in)
torsion which causes to expose steel during earthquake. After 1994, Northridge earthquake, people started searching an
option which will have good ductility in horizontal direction.
Hence, Steel Moment Resisting Frames (SMRF) with masonry
infills became a popular form of construction of high-rise
buildings in urban area around the world. The term infilled
frame is used to denote a composite structure formed by the
combination of a moment resisting plane frame and infill walls.
The masonry can be of brick, concrete units, or stones. Usually the frame is filled with bricks as non-structural wall for
partition of rooms. Social and functional needs for vehicle
parking, shops, reception etc. are compelling to provide an
open first storey in high rise building. Parking floor has become an unavoidable feature for the most of urban
multistoried buildings. Though multistoried buildings with
parking floor (soft storey) are vulnerable to collapse due to
earthquake loads, their construction is still widespread. These
buildings are generally designed as framed structures without regard to structural action of masonry infill walls. They
are considered as non-structural elements. Due to this, in
seismic action, steel frames purely acts as moment resisting
frames leading to variation in expected structural response.
The effect of infill panels on the response of steel frames
subjected to seismic action is well recognized and has been
subject of numerous experimental and analytical investigations over last six to seven decades. In the current practice of
structural design in India, masonry infill panels are treated as
non-structural elements and their strength and stiffness contributions are neglected. In reality, the presence of infill wall
changes the behavior of frame action into truss action thus
changing the lateral load transfer mechanism. From the literature, it can be observed that current practice of multistoried
building with soft first storey for earthquake forces are without consideration in reduction of stiffness at first floor. The
sudden reduction in stiffness at first floor is most important
part of the building analysis because it affects the concentration of forces at the first floor. In the present work, analytical investigations are carried out to study the effectiveness
of different stiffening measures to the first storey for better
performance of the structure during earthquake [9]. Different
types of analytical models based on the physical understanding of the overall behavior of an infill panels were developed

Abstract: Steel moment resisting frame with open first storey
(soft storey) is known to perform well compared with the RC
frames during strong earthquake shaking. The presence of
masonry infill wall influences the overall behavior of the
structure when subjected to lateral forces, when masonry infill
are considered to interact with their surrounding frames the
lateral stiffness and lateral load carrying capacity of structure
largely increase. In this paper, the seismic vulnerability of
building with soft storey is shown with an example of G+10
three dimensional (3D) steel frame. The open first storey is
an important functional requirement of almost all the urban
multi-storey buildings, and hence, cannot be eliminated.
Hence some special measures need to be adopted for this
specific situation. The under-lying principle of any solution
to this problem is in increasing the stiffness’s of the first
storey such that the first storey stiffness is at least 50% as
stiff as the second storey, i.e., soft first storeys are to be avoided,
and providing adequate lateral strength in the first storey. In
this paper, stiffness balancing is proposed between the first
and second storey of a steel moment resisting frame building
with open first storey and brick infills as described in models.
A simple example building is analyzed by modeling it with
nine different methods. The stiffness effect on the first storey
is demonstrated through the lateral displacement profile of
the building.
Keywords: Soft Storey, Infill walls, Steel Moment Resisting
Frame, Earthquake.

I. INTRODUCTION
Steel Moment Resisting Frames are more widely used in
construction of industrial sheds. The plate girders, gantry
girders, columns with gusseted base or slab base, trusses,
purlins are some of the structural components in the industrial
sheds. Masonry wall is very rarely used in industrial shed.
Galvanized Iron sheet is particularly used instead of masonry
wall in the industrial shed for partition purpose. But, for the
delegate instruments, controlled room temperature is one of
the basic needs hence masonry walls are provided in the
industrial sheds.
Even though, RCC framed structures are more durable
and have less maintenance, it has disadvantage like less ductility in lateral direction. It has been found that reinforced
cement concrete columns and beams fails in bending and
© 2013 ACEE
DOI: 01.IJCEE.2.1.1197

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ACEE Int. J. on Civil and Environmental Engineering, Vol. 2, No. 1, Aug 2013
over the years to mimic the behavior of infilled frames. The
available infill analytical models can be broadly categorized
as Macro Model and Micro models. The single strut model is
the most widely used as it is simple and evidently most suitable for large structures. Thus steel frames with unreinforced
masonry walls can be modelled as equivalent braced frames
with infill walls replaced by equivalent diagonal strut which
can be used in rigorous nonlinear pushover analysis. The
theory of beams on elastic foundations suggests a non-dimensional parameter to determine the width and relative stiffness of diagonal strut [5]. Developing effective seismic protective systems for new or existing structures requires striking a balance between stiffness, strength and damping
[1,2,3,4,10,11]. The carefully detailed structures using seismic or base isolation and a structural control device to dissipate energy to reduce deformations are the primary options
to successfully create the necessary balance [12,15,16,17,18].
The system designed according to a prescriptive approach,
deforms inelastically, results in significant damage after an
event. The damage caused by the 1994 Northridge, California and 1995 Kobe, Japan earthquakes initiated a re-examination of connection details. Hence, to improve structural performance and predictable damage during seismic events, provide a seismic protective system within the framework of
performance-based design [6,7,8,13,14].
II. SOFT STOREY
Construction of multistoried steel frame buildings is very
rare in India. The most common type of vertical irregularity
occurs in buildings that have an open ground storey. Many
buildings constructed in recent time have a special feature
that the ground stories are left open for the purpose of parking, reception etc. Such buildings are often called open ground
storey buildings or buildings on stilts. The first stories become soft and weak relative to the other upper stories, due to
absence of masonry walls in the first storey. Structurally those
unbalances are unhealthy and soft storey buildings are well
known for being susceptible to collapse through past earthquakes. A soft storey is one in which the lateral stiffness is
less than 70 percent of that in the storey above or less than
80 percent of average lateral stiffness of the three stories
above.
A. Behavior of Soft Storey
Experience in the past earthquake has shown that the
buildings with simple and uniform configurations are subjected to less damage. Regularity and continuity of stiffness
in the horizontal planes as well as in vertical direction is very
important from earthquake safety point of view. A building
with discontinuity is subjected to concentration of forces
and deformations at the point of discontinuity which may
leads to the failure of members at the junction and collapse of
building. The total seismic base shear, experienced by a building during earthquake depends on its natural period. The
seismic force distribution is dependent on the distribution of
stiffness and mass along the height. The essential characteristics of soft storey consist of discontinuity of strength or
21
© 2013 ACEE
DOI: 01.IJCEE.2.1.1197

stiffness which occurs at the second floor column connection. This discontinuity is caused because of lesser strength
or increased flexibility in the first floor vertical structure results in extreme deflection in the first floor. If all the floors are
approximately equal in strength and stiffness, the entire building deflection under earthquake load is distributed approximately equally at each floor (Figure1).

Figure 1 Soft First Storey

In buildings with soft first storey, the inter-storey drift in
the soft first storey is very large which results in the increased strength demand on the column in the first storey for
these building. However due to presence of brick infill walls
in the upper stories, the forces in the columns are effectively
reduces as walls shares some of the forces. If the first floor is
significantly less strong or more flexible, a large portion of
the total building deflections tends to concentrate in that
floor. The presence of walls in upper stories makes them much
stiffer than the open ground storey. Thus the upper stories
move almost together as a single block and most of the horizontal displacement of the building occurs in the soft ground
storey. Thus, such building behave like an inverted pendulum with the ground storey columns acting as the pendulum
rod and the rest of the building acting as a rigid pendulum
mass during earthquake as shown in the figure 2. As a consequence, large movement occurs in the ground storey alone
and the columns in the open ground storey are severely
stressed. If the columns are weak (do not have the required
strength to resist these high stresses), they may be severely
damaged which may even lead to collapse of the building.

Figure 2 Behavior of Frames under Lateral Loads
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ACEE Int. J. on Civil and Environmental Engineering, Vol. 2, No. 1, Aug 2013

Bare Frame: Frame Action

Infill Frame: Truss Action

Figure 3 Change in lateral-load transfer mechanism due to masonry infill

strut in the upper stories as shown in Figure 6 [5]. Three
dimensional analysis of building is carried out for earthquake
zone III. The linear static analysis is carried out on all
mathematical 3D models using the finite element method
based software SAP 2000. The results obtained from the
analysis are discussed in next sections.
Linear static analysis is performed on nine models of the
building using SAP 2000 analysis package. The frame
members are modelled with rigid ends, the walls are modelled
as diagonal struts and the floors are modelled as diaphragms
rigid in-plane. Time history analysis is performed on the nine
models of the building considered in this study with the time
history plot of El-Centro and Northridge earthquake.
Linear Static Analysis of steel frame building will be done
to analyse following models (Figure 4 and 5) using SAP 2000:
M1 
Bare Frame
M2 Frame with first soft storey
M3 
Frame with walls in all stories and also at some
selected positions in first storey
M4 
Frame with walls in all stories and also at some
selected positions in first storey along with stiffer
columns
M5 
Frame with walls in all stories along with stiffer
columns in first storey
M6 Frame with first soft storey and columns with
varying cross sections
M 7  Frame with walls in all stories and columns with
varying cross sections
M 8 Frame with walls in all stories and also at some
selected positions in first storey along with stiffer
columns and a horizontal beam just below main
beam
M 9 Frame with first soft storey and columns with
varying cross sections and a horizontal beam just
below main beam

In general practice, infill panels are assumed as non- structural
elements and their strengths and stiffnesses are neglected in
analysis and design of structures, while their mass is taken
into account for load calculations. Infills alter the behavior of
building from frame action to truss action and carry the lateral
seismic force as a compressive axial force along their
diagonals as shown in Figure 3. Infill walls act as diagonal
struts and increase the stiffness of framed buildings. The
increase in the stiffness depends on the wall thickness and
the number of frame panels with infills, and can be quite
significant in some cases. The increased stiffness of the
building due to the presence of infills reduces the ability of
the frame to flex and deform. In steel moments resisting
frames, masonry infills may prevent the primary frame
elements (i.e., columns and beams) from responding in a
ductile manner — instead, such structures may show a non
ductile (brittle) performance. This may culminate in a sudden
and dramatic failure.
The focus of this report is on seismic vulnerability
assessment of steel moment resisting frame due to masonry
infill walls, variation in column cross sections and also due
to use of steel horizontal strut. Behavior of structures varies
with and without use of masonry infill walls. Also, Variation
in cross section of columns and use of horizontal mild steel
strut will play vital role in improvement of stiffness of columns.
Nine different seismic resisting systems are studied and
compared. Several damage measures such as maximum roof
displacement, base shear, and total roof and storey
acceleration are studied.
Behavior of structure subjected to earthquake loading is
a complicated phenomenon. For this study, various building
models with different improving measures are considered as
described as above. The research is mainly focused on the
behavior of steel moment resisting frame with soft first storey.
Masonry infill panels are modeled as equivalent diagonal
© 2013 ACEE
DOI: 01.IJCEE.2.1.1197

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ACEE Int. J. on Civil and Environmental Engineering, Vol. 2, No. 1, Aug 2013
A= Area of diagonal strut
Ld= Effective length of diagonal strut
= Inclination of diagonal strut
ISMB 300,450,500 and 600 are used for beams and columns with combinations and M20 concrete has been used
for slabs. The load combination has been used as per IS:
1893-2002.

Figure 4 Plan for all Models

Figure 6 Compression Diagonal Strut Model

It is observed that the stiffness of first storey for model I
is same as that of second storey stiffness in longitudinal as
well as in transverse direction. The stiffness of first storey
for model II is about 20.86% of second storey stiffness in
longitudinal direction. Model II represent the realistic situation for earthquake. It is seen that use of brick infill at specific
locations (Model III) reduces the stiffness irregularity marginally. In case of model III stiffness of first storey is increased to 42.28% of second storey stiffness. The use of
stiffer columns in first storey (Model IV to IX) increases the
stiffness in longitudinal as well as transverse direction.
III. RESULTS AND DISCUSSION
A. Base Shear
Base shear is the total horizontal seismic shear force at
the base of structure. The results obtained from Linear Static
Analysis (LSA) regarding base shear along longitudinal direction for Model I to Model IX are presented in figures 7 to
fig. 8 for Imperial Valley Time history and Northridge Time
History. In case of both time histories, Models II to IX shows
base shear values are nearly same, while, Model I having
less value of base shear in X direction. Where as in Y direction, base shear values for Models III, IV, V and VII, VIII are
nearly same while Models I, II, VI and IX have these values
comparatively very less. This is because of Model I having
large value of fundamental natural time period as compared
to other models. Due to absence of masonry walls in Model
I, fundamental natural period get increased and therefore base
shear get reduced. Base shear response of models more in
magnitude when diagonal wall strut comes into action. For
models V, VII and VIII, response is comparatively less.
Base Shear in Columns: The maximum shear forces in X and
Y direction in the columns are shown in figures 7 to 10; the
shear force (strength) demands are severely higher for first

Figure 5 Elevation of all models

B. Storey Stiffness
The storey stiffness is defined as the magnitude of force
couple required at the floor levels adjoining the storey to
produce a unit lateral translation within the storey, letting all
the other floors to move freely [5].
Stiffness of one column is equal to
Kc = 12EcI/ L3
Stiffness of diagonal strut is equal to
Ki = (A Em / Ld) cos2
Therefore total stiffness of one storey is
Where,

K= Total Stiffness
Kc= Stiffness of Column
Ki= Stiffness of wall strut
Ec= Modulus of Elasticity of frame material
Em= Modulus of Elasticity of infill material

© 2013 ACEE
DOI: 01.IJCEE.2.1.1197

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ACEE Int. J. on Civil and Environmental Engineering, Vol. 2, No. 1, Aug 2013

Fig. 10 Comparative study of Base Shear in Y Direction for
Northridge time history

tal shear across floors. In presence of infill, the relative drift
between adjacent floors is restricted causing mass of the
upper floors to act together as a single mass. In such a case,
the total inertia of the all upper floors causes a significant
increase in the horizontal shear at base or in the ground floor
columns. It is observed that for Model I base shear value is
less and displacement is more as compared to other models.
Other models having nearly same base shear value but there
is difference in displacement.

Figure 7 Comparative study of Base Shear in X direction for
Imperial Valley time history

B. Displacement
The displacement of Model I i.e. bare frame is 6.95 mm,
which is more than the other models. Model II to IX having
displacement values 6.6mm, 4.21mm, 3.68mm, 3.35mm, 4.38mm,
3.15mm, 3.73mm and 4.22mm respectively. Displacement profile of the building can be seen in figures 11 to 14. This indicates the influence of moment of inertia and linear as well as
lateral stiffness on the displacement of the structure. The
reduction in displacement is attributed due to the enhanced
stiffness of the structure. For models II, VI and IX displacement is suddenly increasing by large magnitude at first soft
storey where as for all other models, it is increasing linearly.

Figure 8 Comparative study of Base Shear in Y direction for
Imperial Valley time history

Figure 9 Comparative study of Base Shear in X Direction for
Northridge time history
Figure 11 Displacement of Column 01 in X Direction for Imperial
Valley time history

storey columns, in case of the soft first storey buildings. The
force is distributed in proportion to the stiffness of the members, the force in the columns of the upper storeys, for all the
models (except model I), are significantly reduced. When the
bare frame model is subjected to earthquake load, mass of
each floor acts independently which causes each floor to
drift with respect to adjacent floors. Thus the building frame
behaves in a flexible manner causing distribution of horizon
© 2013 ACEE
DOI: 01.IJCEE.2.1.1197

The lateral displacement profiles of the various models
for the two different analysis performed in this study are
shown in figures 3.5 to 3.8 in X and Y directions for Imperial
valley and Northridge time histories respectively. In these
figures, the abrupt changes in the slope of the profile indicate
the stiffness irregularity. All displacement profiles
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ACEE Int. J. on Civil and Environmental Engineering, Vol. 2, No. 1, Aug 2013
parison of roof acceleration in X and Y directions for Imperial
Valley and Northridge earthquake time history respectively.
If this acceleration is viewed with respect to base shear, it is
found that acceleration varies in proportion with base shear.
For model number five, base shear is also very high. Figure
19 to figure 22 shows that Roof acceleration response due to
Imperial Valley and Northridge earthquake time history indicates that response is more when diagonal wall strut plays
their role and it decreases its magnitude when diagonal wall
struts are not in tension.

Figure 12 Displacement of Column 01 in Y Direction
for Imperial Valley time history

Figure 15 Roof Acceleration analysis in X for Imperial Valley time
history

Figure 13 Displacement of Column 01 in X direction for
Northridge time history

Figure 16 Roof Acceleration analysis in Y for Imperial Valley time
history

Figure 14 Displacement of Column 01 in Y Direction for
Northridge time history

corresponding to model I having stiffness irregularity have a
sudden change of slope at first floor level.
However, the other models i.e. II, III & VI, shows smooth
displacement profiles. The inter-storey drift demand is largest
in the first storey for all the models with soft ground storey.
This implies that the ductility demand on the columns in the
first storey, for these models, is the largest.

Figure 17 Roof Displacement analysis in X for Northridge time
history

IV. CONCLUSIONS
In this paper, the seismic vulnerability of steel moment
resisting frame buildings with and without soft first storey is
shown through examples of building. The drift and the
strength demands in the first storey columns are very large
for buildings with soft ground storeys. It is not very easy to

C. Roof Acceleration
Accelerations of models other than model one is comparatively more. For model five, magnitude of acceleration is
more than any other model. Figures 15 to 18 show the com
© 2013 ACEE
DOI: 01.IJCEE.2.1.1197

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ACEE Int. J. on Civil and Environmental Engineering, Vol. 2, No. 1, Aug 2013

Figure 18 Roof Displacement analysis in Y for Northridge time
history

Figure 21 Roof Acceleration Response in X direction for
Northridge time history

Figure 19 Roof Acceleration Response in X direction for Imperial
Valley time history
Figure 22 Roof Acceleration Response in Y direction for
Northridge time history

increasing the stiffnesses of the first storey such that the
first storey stiffness is at least 50% as stiff as the second
storey, i.e., soft first storeys are to be avoided, and providing
adequate lateral strength in the first storey. The possible
schemes to achieve the above are provision of stiffer columns
in the first storey, and provision of infill wall at specified
location at ground floor in the building. The former is effective
only in reducing the lateral drift demand on the first storey
columns. However, the latter is effective in reducing the drift
as well as the strength demands on the first storey columns.
Hence, model IV i.e. soft first storey with walls at specific
locations in first storey along with stiffer columns is proposed
from this research to resist displacement due to time history
analysis.

Figure 20 Roof Acceleration Response in Y direction for Imperial
Valley time history

provide such capacities in the columns of the first storey.
Thus, it is clear that such buildings will exhibit poor
performance during a strong shaking. This hazardous feature
of steel frame buildings needs to be recognized immediately
and necessary measures needs to be taken to improve the
performance of the buildings. The open first storey is an
important functional requirement of almost all the urban multistorey buildings, and hence, cannot be eliminated. Alternative
measures need to be adopted for this specific situation. The
under-lying principle of any solution to this problem is in
© 2013 ACEE
DOI: 01.IJCEE.2.1.1197

REFERENCES
[1] Amadio C, Clemente I, Macorini L, Fragiacomo M. Seismic
Behaviour of Hybrid Systems Made of PR Composite Frames
Coupled with Dissipative Bracings. Earthquake Engineering
and Structural Dynamics 2008; 37(6):861–879.
[2] Bartera F, Giacchetti R. Steel Dissipating Braces for Upgrading
Existing Building Frames. Journal of Constructional Steel
Research 2004; 60(3–5):751–769.

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ACEE Int. J. on Civil and Environmental Engineering, Vol. 2, No. 1, Aug 2013
[3] Black CJ, Makris N, Aiken ID. Component Testing, Seismic
Evaluation and Characterization of Buckling Restrained Braces.
Journal of Structural Engineering 2004; 130(6):880–894.
[4] Constantinou MC, Tsopelas P, Hammel W, Sigaher AN. Toggle
Brace Damper Seismic Energy Dissipation Systems. Journal
of Structural Engineering 2001; 127(2):105–112.
[5] Das, D., Murty, C. V. R. (2004) „„Brick masonry infills in
seismic design of RC framed buildings: Part 1 – Cost
implications” The Indian Concrete Journal July 2004, vol78
No7: 39-43.
[6] Durgesh C. Rai, Benjamin J. Wallace, Aluminium Shear Link
for Enhanced Seismic Resistance, Earthquake Engineering And
Structural Dynamics Earthquake Engg. Struct.Dyn. 27, 315342 (1998)
[7] D.R. Sahoo& D.C. Rai, Seismic Strengthening of RC Buildings
using steel cage and Aluminium cage, 8B177_8PCEE_Rai,2007
[8] FEMA. State of the Art Report on Systems Performance of
Steel Moment Frames Subject to Earthquake Ground Shaking
(FEMA 355C). Federal Emergency Management Agency:
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[9] FEMA. Next Generation Performance Based Seismic Design
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© 2013 ACEE
DOI: 01.IJCEE.2.1.1197

[11] J. D. Marshall and F. A. Charney, Dynamic Response of Steel
Moment-Frame Structures with Hybrid Passive Control
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[12] Mazza F, Vulcano A. Control of the Earthquake and Wind
Dynamic Response of Steel Framed Buildings by Using
Additional Braces and/or Viscoelastic Dampers. Earthquake
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[13] M.C. Constantinou, M.D. Symans Experimental and
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with Supplemental Fluid Viscous Dampers, NCEER, State
University of New York at Buffalo, December 21, 1992.
[14] Naeim F, Kelly J. Design of Seismic Isolated Structures: From
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[15] Pall AS, Marsh C. Response of Friction Damped Braced
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[16] Symans MD, Charney FA, Whittaker AS, Constantinou MC,
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Seismic Vulnerability Assessment of Steel Moment Resisting Frame due to Infill Masonry Walls, Variation in Column Size and Horizontal Buckling Restrained Braces

  • 1. Full Paper ACEE Int. J. on Civil and Environmental Engineering, Vol. 2, No. 1, Aug 2013 Seismic Vulnerability Assessment of Steel Moment Resisting Frame due to Infill Masonry Walls, Variation in Column Size and Horizontal Buckling Restrained Braces MagarPatilH.R.1 ,Jangid R.S.2 Department of Civil Engineering, IIT Bombay, Powai, Mumbai – 400 076. 1 Ph.D. Student (e-mail: hemant.359267@gmail.com) 2 Professor (e-mail: rsjangid@civil.iitb.ac.in) torsion which causes to expose steel during earthquake. After 1994, Northridge earthquake, people started searching an option which will have good ductility in horizontal direction. Hence, Steel Moment Resisting Frames (SMRF) with masonry infills became a popular form of construction of high-rise buildings in urban area around the world. The term infilled frame is used to denote a composite structure formed by the combination of a moment resisting plane frame and infill walls. The masonry can be of brick, concrete units, or stones. Usually the frame is filled with bricks as non-structural wall for partition of rooms. Social and functional needs for vehicle parking, shops, reception etc. are compelling to provide an open first storey in high rise building. Parking floor has become an unavoidable feature for the most of urban multistoried buildings. Though multistoried buildings with parking floor (soft storey) are vulnerable to collapse due to earthquake loads, their construction is still widespread. These buildings are generally designed as framed structures without regard to structural action of masonry infill walls. They are considered as non-structural elements. Due to this, in seismic action, steel frames purely acts as moment resisting frames leading to variation in expected structural response. The effect of infill panels on the response of steel frames subjected to seismic action is well recognized and has been subject of numerous experimental and analytical investigations over last six to seven decades. In the current practice of structural design in India, masonry infill panels are treated as non-structural elements and their strength and stiffness contributions are neglected. In reality, the presence of infill wall changes the behavior of frame action into truss action thus changing the lateral load transfer mechanism. From the literature, it can be observed that current practice of multistoried building with soft first storey for earthquake forces are without consideration in reduction of stiffness at first floor. The sudden reduction in stiffness at first floor is most important part of the building analysis because it affects the concentration of forces at the first floor. In the present work, analytical investigations are carried out to study the effectiveness of different stiffening measures to the first storey for better performance of the structure during earthquake [9]. Different types of analytical models based on the physical understanding of the overall behavior of an infill panels were developed Abstract: Steel moment resisting frame with open first storey (soft storey) is known to perform well compared with the RC frames during strong earthquake shaking. The presence of masonry infill wall influences the overall behavior of the structure when subjected to lateral forces, when masonry infill are considered to interact with their surrounding frames the lateral stiffness and lateral load carrying capacity of structure largely increase. In this paper, the seismic vulnerability of building with soft storey is shown with an example of G+10 three dimensional (3D) steel frame. The open first storey is an important functional requirement of almost all the urban multi-storey buildings, and hence, cannot be eliminated. Hence some special measures need to be adopted for this specific situation. The under-lying principle of any solution to this problem is in increasing the stiffness’s of the first storey such that the first storey stiffness is at least 50% as stiff as the second storey, i.e., soft first storeys are to be avoided, and providing adequate lateral strength in the first storey. In this paper, stiffness balancing is proposed between the first and second storey of a steel moment resisting frame building with open first storey and brick infills as described in models. A simple example building is analyzed by modeling it with nine different methods. The stiffness effect on the first storey is demonstrated through the lateral displacement profile of the building. Keywords: Soft Storey, Infill walls, Steel Moment Resisting Frame, Earthquake. I. INTRODUCTION Steel Moment Resisting Frames are more widely used in construction of industrial sheds. The plate girders, gantry girders, columns with gusseted base or slab base, trusses, purlins are some of the structural components in the industrial sheds. Masonry wall is very rarely used in industrial shed. Galvanized Iron sheet is particularly used instead of masonry wall in the industrial shed for partition purpose. But, for the delegate instruments, controlled room temperature is one of the basic needs hence masonry walls are provided in the industrial sheds. Even though, RCC framed structures are more durable and have less maintenance, it has disadvantage like less ductility in lateral direction. It has been found that reinforced cement concrete columns and beams fails in bending and © 2013 ACEE DOI: 01.IJCEE.2.1.1197 20
  • 2. Full Paper ACEE Int. J. on Civil and Environmental Engineering, Vol. 2, No. 1, Aug 2013 over the years to mimic the behavior of infilled frames. The available infill analytical models can be broadly categorized as Macro Model and Micro models. The single strut model is the most widely used as it is simple and evidently most suitable for large structures. Thus steel frames with unreinforced masonry walls can be modelled as equivalent braced frames with infill walls replaced by equivalent diagonal strut which can be used in rigorous nonlinear pushover analysis. The theory of beams on elastic foundations suggests a non-dimensional parameter to determine the width and relative stiffness of diagonal strut [5]. Developing effective seismic protective systems for new or existing structures requires striking a balance between stiffness, strength and damping [1,2,3,4,10,11]. The carefully detailed structures using seismic or base isolation and a structural control device to dissipate energy to reduce deformations are the primary options to successfully create the necessary balance [12,15,16,17,18]. The system designed according to a prescriptive approach, deforms inelastically, results in significant damage after an event. The damage caused by the 1994 Northridge, California and 1995 Kobe, Japan earthquakes initiated a re-examination of connection details. Hence, to improve structural performance and predictable damage during seismic events, provide a seismic protective system within the framework of performance-based design [6,7,8,13,14]. II. SOFT STOREY Construction of multistoried steel frame buildings is very rare in India. The most common type of vertical irregularity occurs in buildings that have an open ground storey. Many buildings constructed in recent time have a special feature that the ground stories are left open for the purpose of parking, reception etc. Such buildings are often called open ground storey buildings or buildings on stilts. The first stories become soft and weak relative to the other upper stories, due to absence of masonry walls in the first storey. Structurally those unbalances are unhealthy and soft storey buildings are well known for being susceptible to collapse through past earthquakes. A soft storey is one in which the lateral stiffness is less than 70 percent of that in the storey above or less than 80 percent of average lateral stiffness of the three stories above. A. Behavior of Soft Storey Experience in the past earthquake has shown that the buildings with simple and uniform configurations are subjected to less damage. Regularity and continuity of stiffness in the horizontal planes as well as in vertical direction is very important from earthquake safety point of view. A building with discontinuity is subjected to concentration of forces and deformations at the point of discontinuity which may leads to the failure of members at the junction and collapse of building. The total seismic base shear, experienced by a building during earthquake depends on its natural period. The seismic force distribution is dependent on the distribution of stiffness and mass along the height. The essential characteristics of soft storey consist of discontinuity of strength or 21 © 2013 ACEE DOI: 01.IJCEE.2.1.1197 stiffness which occurs at the second floor column connection. This discontinuity is caused because of lesser strength or increased flexibility in the first floor vertical structure results in extreme deflection in the first floor. If all the floors are approximately equal in strength and stiffness, the entire building deflection under earthquake load is distributed approximately equally at each floor (Figure1). Figure 1 Soft First Storey In buildings with soft first storey, the inter-storey drift in the soft first storey is very large which results in the increased strength demand on the column in the first storey for these building. However due to presence of brick infill walls in the upper stories, the forces in the columns are effectively reduces as walls shares some of the forces. If the first floor is significantly less strong or more flexible, a large portion of the total building deflections tends to concentrate in that floor. The presence of walls in upper stories makes them much stiffer than the open ground storey. Thus the upper stories move almost together as a single block and most of the horizontal displacement of the building occurs in the soft ground storey. Thus, such building behave like an inverted pendulum with the ground storey columns acting as the pendulum rod and the rest of the building acting as a rigid pendulum mass during earthquake as shown in the figure 2. As a consequence, large movement occurs in the ground storey alone and the columns in the open ground storey are severely stressed. If the columns are weak (do not have the required strength to resist these high stresses), they may be severely damaged which may even lead to collapse of the building. Figure 2 Behavior of Frames under Lateral Loads
  • 3. Full Paper ACEE Int. J. on Civil and Environmental Engineering, Vol. 2, No. 1, Aug 2013 Bare Frame: Frame Action Infill Frame: Truss Action Figure 3 Change in lateral-load transfer mechanism due to masonry infill strut in the upper stories as shown in Figure 6 [5]. Three dimensional analysis of building is carried out for earthquake zone III. The linear static analysis is carried out on all mathematical 3D models using the finite element method based software SAP 2000. The results obtained from the analysis are discussed in next sections. Linear static analysis is performed on nine models of the building using SAP 2000 analysis package. The frame members are modelled with rigid ends, the walls are modelled as diagonal struts and the floors are modelled as diaphragms rigid in-plane. Time history analysis is performed on the nine models of the building considered in this study with the time history plot of El-Centro and Northridge earthquake. Linear Static Analysis of steel frame building will be done to analyse following models (Figure 4 and 5) using SAP 2000: M1  Bare Frame M2 Frame with first soft storey M3  Frame with walls in all stories and also at some selected positions in first storey M4  Frame with walls in all stories and also at some selected positions in first storey along with stiffer columns M5  Frame with walls in all stories along with stiffer columns in first storey M6 Frame with first soft storey and columns with varying cross sections M 7  Frame with walls in all stories and columns with varying cross sections M 8 Frame with walls in all stories and also at some selected positions in first storey along with stiffer columns and a horizontal beam just below main beam M 9 Frame with first soft storey and columns with varying cross sections and a horizontal beam just below main beam In general practice, infill panels are assumed as non- structural elements and their strengths and stiffnesses are neglected in analysis and design of structures, while their mass is taken into account for load calculations. Infills alter the behavior of building from frame action to truss action and carry the lateral seismic force as a compressive axial force along their diagonals as shown in Figure 3. Infill walls act as diagonal struts and increase the stiffness of framed buildings. The increase in the stiffness depends on the wall thickness and the number of frame panels with infills, and can be quite significant in some cases. The increased stiffness of the building due to the presence of infills reduces the ability of the frame to flex and deform. In steel moments resisting frames, masonry infills may prevent the primary frame elements (i.e., columns and beams) from responding in a ductile manner — instead, such structures may show a non ductile (brittle) performance. This may culminate in a sudden and dramatic failure. The focus of this report is on seismic vulnerability assessment of steel moment resisting frame due to masonry infill walls, variation in column cross sections and also due to use of steel horizontal strut. Behavior of structures varies with and without use of masonry infill walls. Also, Variation in cross section of columns and use of horizontal mild steel strut will play vital role in improvement of stiffness of columns. Nine different seismic resisting systems are studied and compared. Several damage measures such as maximum roof displacement, base shear, and total roof and storey acceleration are studied. Behavior of structure subjected to earthquake loading is a complicated phenomenon. For this study, various building models with different improving measures are considered as described as above. The research is mainly focused on the behavior of steel moment resisting frame with soft first storey. Masonry infill panels are modeled as equivalent diagonal © 2013 ACEE DOI: 01.IJCEE.2.1.1197 22
  • 4. Full Paper ACEE Int. J. on Civil and Environmental Engineering, Vol. 2, No. 1, Aug 2013 A= Area of diagonal strut Ld= Effective length of diagonal strut = Inclination of diagonal strut ISMB 300,450,500 and 600 are used for beams and columns with combinations and M20 concrete has been used for slabs. The load combination has been used as per IS: 1893-2002. Figure 4 Plan for all Models Figure 6 Compression Diagonal Strut Model It is observed that the stiffness of first storey for model I is same as that of second storey stiffness in longitudinal as well as in transverse direction. The stiffness of first storey for model II is about 20.86% of second storey stiffness in longitudinal direction. Model II represent the realistic situation for earthquake. It is seen that use of brick infill at specific locations (Model III) reduces the stiffness irregularity marginally. In case of model III stiffness of first storey is increased to 42.28% of second storey stiffness. The use of stiffer columns in first storey (Model IV to IX) increases the stiffness in longitudinal as well as transverse direction. III. RESULTS AND DISCUSSION A. Base Shear Base shear is the total horizontal seismic shear force at the base of structure. The results obtained from Linear Static Analysis (LSA) regarding base shear along longitudinal direction for Model I to Model IX are presented in figures 7 to fig. 8 for Imperial Valley Time history and Northridge Time History. In case of both time histories, Models II to IX shows base shear values are nearly same, while, Model I having less value of base shear in X direction. Where as in Y direction, base shear values for Models III, IV, V and VII, VIII are nearly same while Models I, II, VI and IX have these values comparatively very less. This is because of Model I having large value of fundamental natural time period as compared to other models. Due to absence of masonry walls in Model I, fundamental natural period get increased and therefore base shear get reduced. Base shear response of models more in magnitude when diagonal wall strut comes into action. For models V, VII and VIII, response is comparatively less. Base Shear in Columns: The maximum shear forces in X and Y direction in the columns are shown in figures 7 to 10; the shear force (strength) demands are severely higher for first Figure 5 Elevation of all models B. Storey Stiffness The storey stiffness is defined as the magnitude of force couple required at the floor levels adjoining the storey to produce a unit lateral translation within the storey, letting all the other floors to move freely [5]. Stiffness of one column is equal to Kc = 12EcI/ L3 Stiffness of diagonal strut is equal to Ki = (A Em / Ld) cos2 Therefore total stiffness of one storey is Where, K= Total Stiffness Kc= Stiffness of Column Ki= Stiffness of wall strut Ec= Modulus of Elasticity of frame material Em= Modulus of Elasticity of infill material © 2013 ACEE DOI: 01.IJCEE.2.1.1197 23
  • 5. Full Paper ACEE Int. J. on Civil and Environmental Engineering, Vol. 2, No. 1, Aug 2013 Fig. 10 Comparative study of Base Shear in Y Direction for Northridge time history tal shear across floors. In presence of infill, the relative drift between adjacent floors is restricted causing mass of the upper floors to act together as a single mass. In such a case, the total inertia of the all upper floors causes a significant increase in the horizontal shear at base or in the ground floor columns. It is observed that for Model I base shear value is less and displacement is more as compared to other models. Other models having nearly same base shear value but there is difference in displacement. Figure 7 Comparative study of Base Shear in X direction for Imperial Valley time history B. Displacement The displacement of Model I i.e. bare frame is 6.95 mm, which is more than the other models. Model II to IX having displacement values 6.6mm, 4.21mm, 3.68mm, 3.35mm, 4.38mm, 3.15mm, 3.73mm and 4.22mm respectively. Displacement profile of the building can be seen in figures 11 to 14. This indicates the influence of moment of inertia and linear as well as lateral stiffness on the displacement of the structure. The reduction in displacement is attributed due to the enhanced stiffness of the structure. For models II, VI and IX displacement is suddenly increasing by large magnitude at first soft storey where as for all other models, it is increasing linearly. Figure 8 Comparative study of Base Shear in Y direction for Imperial Valley time history Figure 9 Comparative study of Base Shear in X Direction for Northridge time history Figure 11 Displacement of Column 01 in X Direction for Imperial Valley time history storey columns, in case of the soft first storey buildings. The force is distributed in proportion to the stiffness of the members, the force in the columns of the upper storeys, for all the models (except model I), are significantly reduced. When the bare frame model is subjected to earthquake load, mass of each floor acts independently which causes each floor to drift with respect to adjacent floors. Thus the building frame behaves in a flexible manner causing distribution of horizon © 2013 ACEE DOI: 01.IJCEE.2.1.1197 The lateral displacement profiles of the various models for the two different analysis performed in this study are shown in figures 3.5 to 3.8 in X and Y directions for Imperial valley and Northridge time histories respectively. In these figures, the abrupt changes in the slope of the profile indicate the stiffness irregularity. All displacement profiles 24
  • 6. Full Paper ACEE Int. J. on Civil and Environmental Engineering, Vol. 2, No. 1, Aug 2013 parison of roof acceleration in X and Y directions for Imperial Valley and Northridge earthquake time history respectively. If this acceleration is viewed with respect to base shear, it is found that acceleration varies in proportion with base shear. For model number five, base shear is also very high. Figure 19 to figure 22 shows that Roof acceleration response due to Imperial Valley and Northridge earthquake time history indicates that response is more when diagonal wall strut plays their role and it decreases its magnitude when diagonal wall struts are not in tension. Figure 12 Displacement of Column 01 in Y Direction for Imperial Valley time history Figure 15 Roof Acceleration analysis in X for Imperial Valley time history Figure 13 Displacement of Column 01 in X direction for Northridge time history Figure 16 Roof Acceleration analysis in Y for Imperial Valley time history Figure 14 Displacement of Column 01 in Y Direction for Northridge time history corresponding to model I having stiffness irregularity have a sudden change of slope at first floor level. However, the other models i.e. II, III & VI, shows smooth displacement profiles. The inter-storey drift demand is largest in the first storey for all the models with soft ground storey. This implies that the ductility demand on the columns in the first storey, for these models, is the largest. Figure 17 Roof Displacement analysis in X for Northridge time history IV. CONCLUSIONS In this paper, the seismic vulnerability of steel moment resisting frame buildings with and without soft first storey is shown through examples of building. The drift and the strength demands in the first storey columns are very large for buildings with soft ground storeys. It is not very easy to C. Roof Acceleration Accelerations of models other than model one is comparatively more. For model five, magnitude of acceleration is more than any other model. Figures 15 to 18 show the com © 2013 ACEE DOI: 01.IJCEE.2.1.1197 25
  • 7. Full Paper ACEE Int. J. on Civil and Environmental Engineering, Vol. 2, No. 1, Aug 2013 Figure 18 Roof Displacement analysis in Y for Northridge time history Figure 21 Roof Acceleration Response in X direction for Northridge time history Figure 19 Roof Acceleration Response in X direction for Imperial Valley time history Figure 22 Roof Acceleration Response in Y direction for Northridge time history increasing the stiffnesses of the first storey such that the first storey stiffness is at least 50% as stiff as the second storey, i.e., soft first storeys are to be avoided, and providing adequate lateral strength in the first storey. The possible schemes to achieve the above are provision of stiffer columns in the first storey, and provision of infill wall at specified location at ground floor in the building. The former is effective only in reducing the lateral drift demand on the first storey columns. However, the latter is effective in reducing the drift as well as the strength demands on the first storey columns. Hence, model IV i.e. soft first storey with walls at specific locations in first storey along with stiffer columns is proposed from this research to resist displacement due to time history analysis. Figure 20 Roof Acceleration Response in Y direction for Imperial Valley time history provide such capacities in the columns of the first storey. Thus, it is clear that such buildings will exhibit poor performance during a strong shaking. This hazardous feature of steel frame buildings needs to be recognized immediately and necessary measures needs to be taken to improve the performance of the buildings. The open first storey is an important functional requirement of almost all the urban multistorey buildings, and hence, cannot be eliminated. Alternative measures need to be adopted for this specific situation. The under-lying principle of any solution to this problem is in © 2013 ACEE DOI: 01.IJCEE.2.1.1197 REFERENCES [1] Amadio C, Clemente I, Macorini L, Fragiacomo M. Seismic Behaviour of Hybrid Systems Made of PR Composite Frames Coupled with Dissipative Bracings. Earthquake Engineering and Structural Dynamics 2008; 37(6):861–879. [2] Bartera F, Giacchetti R. Steel Dissipating Braces for Upgrading Existing Building Frames. Journal of Constructional Steel Research 2004; 60(3–5):751–769. 26
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