EFFECT OF MASONRY INFILL ON NONLINEAR
STRUCTURAL PERFORMANCE OF SCHOOL
BUILDINGS IN EGYPT AGAINST LATERAL
LOADS
FACULTY OF ENGINEERING, CAIRO UNIVERSITY
GIZA, EGYPT
2012
By
Eng. Nourhan Osama Hanafy Mahmoud
A Thesis Submitted to the Faculty of Engineering at Cairo University
In Partial Fulfillment of the Requirements for the Degree of
MASTER OF SCIENCE
In
Structural Engineering
EFFECT OF MASONRY INFILL ON NONLINEAR
STRUCTURAL PERFORMANCE OF SCHOOL
BUILDINGS IN EGYPT AGAINST LATERAL
LOADS
FACULTY OF ENGINEERING, CAIRO UNIVERSITY
GIZA, EGYPT
2012
By
Eng. Nourhan Osama Hanafy Mahmoud
A Thesis Submitted to the Faculty of Engineering at Cairo University
In Partial Fulfillment of the Requirements for the Degree of
MASTER OF SCIENCE
In
Structural Engineering
Under the Supervision of
Prof. Dr. Mohamed Talat Mostafa Professor of Reinforced Concrete Structures
Faculty of Engineering
Cairo University
Dr. Islam Mohamed El-Habbal Lecturer of Structural Engineering
Higher Technological Institute
6 Oct. Branch
EFFECT OF MASONRY INFILL ON NONLINEAR
STRUCTURAL PERFORMANCE OF SCHOOL
BUILDINGS IN EGYPT AGAINST LATERAL
LOADS
FACULTY OF ENGINEERING, CAIRO UNIVERSITY
GIZA, EGYPT
2012
By
Eng. Nourhan Osama Hanafy Mahmoud
A Thesis Submitted to the Faculty of Engineering at Cairo University
In Partial Fulfillment of the Requirements for the Degree of
MASTER OF SCIENCE
In
Structural Engineering
Approved by the Examining Committee,
…………………………………………………
Prof. Dr. Mohamed Talat Mostafa
Professor of Concrete Structures, Faculty of Engineering,
Cairo University
…………………………………………………
Prof. Dr. Mohamed El-Said Issa
Professor of Concrete Structures,
Head of Structural Engineering Dept., Faculty of Engineering,
Cairo University
…………………………………………………
Prof. Dr. Hatem Hamdy Ghith
Professor of Concrete Structures,
Housing and Building National Research Center
i
ABSTRACT
During the past few decades, it was a common practice in Egypt to design
and detail medium rise building to resist gravity loads only with no
consideration to any lateral load caused by wind or earthquakes. The amount of
damage observed in reinforced concrete buildings during the October 12th
1992 earthquake pointed out the urgent need to consider these forces in design
and detailing. Post earthquake field investigations in most earthquake regions
in the world demonstrated that school buildings are notably vulnerable due to
their typical architectural pattern. Numerous school buildings in Egypt were
damaged in past earthquakes with different levels of damage. Damage in
school buildings is attributed to their standard architectural profile
characterized by openings in the longitudinal direction and partition walls in
the transversal direction. Common failure patterns such as failure in the
longitudinal direction due to lack of walls, short-column effect due to constrain
by windowsills, and weak beam-column connections due to non-ductile
reinforcement are found during site inspections of old existing schools. In this
study, Push-over analysis for all known types of school building in Egypt is
used to determine their seismic capacity through inter-story drifts. The
structural evaluation was based on 2-D nonlinear push-over analysis using the
computer non-commercial software package SeismoStruct ver.5.2.1 developed
by SeismoSoft Ltd. Variables was studied in the types of bricks used in
construction, the thickness of the walls of buildings, brick buildings on the
distribution of roles, in addition to details of dimensions and shapes of the
holes and places in the building bricks. And has been studying the impact of the
above-mentioned variables on the values of natural frequency of buildings, and
the values of energy lost in the form of formations, as well as the distribution of
formations on the height of the building. Results were compared with levels of
performance contained in FEMA-365. According to this research, can be listed
and the preferred type of bricks used in building walls and thick to ensure the
best performance of seismic as follows: School buildings type (1), They are
ii
composed of a row of classes attached to cantilever corridor. The
columns’ main direction is arranged in the building’s short direction , in
the case of partial infilled at all floor except the ground floor is to be the best
type of cement bricks with 12 cm thickness, and also in the case of fully
infilled at all floor except the ground floor is to be the best type of cement
bricks with 25 cm thickness, and Finally, in the case of fully infilled at all floor
with the ground floor is to be the best type of red solid brick with 25 cm
thickness. School buildings type (2) is composed of two adjacent spans,
one for the corridor and the other for the class. The corridor span is
supported with square columns at the outer edge, in the case of partial
infilled at all floor except the ground floor is to be the best type of hollow red
bricks with 25 cm thickness, and also in the case of fully infilled at all floor
except the ground floor is to be the best type of hollow red bricks with 25 cm
thickness, and Finally, in the case of fully infilled at all floor with the ground
floor is to be the best type of red solid brick with 25 cm thickness. School
buildings type (3) is similar to buildings type (1) in the structural system
while different in the columns’ arrangement. Columns lying on even
axes are oriented in the building’s short direction, or vice versa , in the
case of partial infilled at all floor except the ground floor is to be the best type
of red solid bricks with 12 cm thickness, and also in the case of fully infilled at
all floor except the ground floor is to be the best type of red solid bricks with
12 cm thickness, and Finally, in the case of fully infilled at all floor with the
ground floor is to be the best type of red solid brick with 25 cm thickness. School buildings type (4) is composed of two classes and one corridor in
the same row. The columns’ arrangement is similar to the used
arrangement in type (3), in the case of partial infilled at all floor except the
ground floor is to be the best type of red solid bricks with 12 cm thickness, and
also in the case of fully infilled at all floor except the ground floor is to be the
best type of hollow red bricks with 25 cm thickness, and Finally, in the case of
fully infilled at all floor with the ground floor is to be the best type of hollow
red brick with 25 cm thickness.
iii
ACKNOWLEDGMENT
First of all, thanks to God for his grace and mercy, and for giving me the effort
to complete this work.
I am grateful for God for giving me my husband engineer Ahmed M. EL-
Mawan and his mother Dr. Marvat Ezzat that they supported me thanks for
them.
I appreciate the support of my professors, I was fortunate enough to carry out
this work under the supervision of Dr. Islam Mohamed El-Habbal for his
generous help, and it was a great honor to work with great professor like Prof.
Dr. Mohamed Talaat Mostafa.
Also, I am grateful for Dr. Saied El-Kholly thank for him. Finally, I would like
to thanks God that supported me to do this study hoping that someone can
develop it.
iv
TABLE OFCONTENTS
Page
ABSTRACT…………………………………………………………… i
ACKNOWLEDGMENT…………………………………………….… iii
TABLE OF CONTENTS……………………………………………… iv
LIST OF TABLES…………………………………………………….. ix
LIST OF FIGURES……………………………………………………. xi
CHAPTER (1): INTRODUCTION
1.1 General…………………………………………………………… 1
1.2 Objectives………………………………………………………… 2
1.3 Thesis Outlines……………………………………………………. 3
CHAPTER (2): THEORETICAL BACKGROUND AND
LITERATURE REVIEW
2.1 Introduction……………………………………………………….. 4
2.2 Theoretical Background…………………………………………... 5
2.2.1 Push-over Analysis………………………………………... 5
2.2.1.1 Description of Pushover Analysis………………. 5
2.2.1.2 Modal Pushover Analysis………………………... 6
2.2.1.3 Lateral Loading Pattern………………………….. 9
2.2.1.4 Effect of Loading Pattern On Push-over Analysis
Results……………………………………………...
10
2.2.2 Modeling Of Masonry Infill Wall…………………………. 15
2.2.2.1 Description of The Bare Frame and Infilled
Frames………..…………………………………….
15
2.3 Literature Review…………………………………………………. 20
v
2.3.1 Push-over Analysis………………………………………… 20
2.3.2 Effect of Infill on Seismic Resistance of Reinforced
Concrete Frames…………………………………....................
26
2.3.3 Modeling Of Masonry Infill Wall…………………….......... 31
CHAPTER (3): NUMERICAL MODELING OF SCHOOL
BUILDINGS FRAMES
3.1 Introduction ………………………………….……………………. 54
3.2 Properties Of The Examined Models………………………............ 55
3.2.1 Geometrical Description……………………………………. 55
3.3 Modeling of Material Behavior……………………………………. 56
3.4 Used Push-over Loading Pattern……………………………........... 57
3.5 Modeling Strategies For School Building Frames…….................... 58
3.6 Numerical Model Input Procedure………………………………… 61
3.6.1 Input Procedure for Bare Frames……………………………. 61
3.6.2 Input Procedures for infilled frame……….............................. 62
CHAPTER (4): NUMERICAL ANALYSIS RESULTS OF SCHOOL
BUILDINGS R/C FRAMES
4.1 Introduction ………………………………………………………. 81
4.2 Analysis Results For School Buildings Frames............................... 81
CHAPTER (5): DISCUSSION OF NUMERICAL RESULTS
5.1 Introduction……………………………………………………….. 141
5.2 Effect Of Studied Parameters On Structural Fundamental
Period……………………………………………………………....
141
5.3 Effect Of Studied Parameters On Structural Ductility…………….. 142
5.4 Effect Of Studied Parameters On Story Drift………………............ 143
CHAPTER (6): SUMMARY AND CONCLUSIONS
6.1 Introduction ………………………………………………………. 165
6.2 Summary …………………………………………………............. 166
vi
6.3 Conclusions……………………………………………………….. 169
6.4 Recommendations for Future Research …………………….......... 171
References……………………………………………………………… 172
ix
List of Tables
Table 2. 1 Design spectrum according to ECP-2003……………………….15
Table 2.2 Push Over Analysis Results…………………………………...30
Table 4.1 (a)Percentage change of fundamental period for model (1) with 12
cm wall thick………………….………………………………….131
Table 4.1 (b) Percentage change of fundamental period for model (1) with 25
cm wall thick ……………………..………………………….…..131
Table 4.2 (a) Percentage change of fundamental period for model (2) with 12
cm wall thick……………….………………….…………………132
Table 4.2 (b) Percentage change of fundamental period for model (2) with 25
cm wall thick………………………………….…………………132
Table 4.3 (a) Percentage change of fundamental period for model (3) with 12
cm wall thick…………………………………….……..….……133
Table 4.3(b) Percentage change of fundamental period for model (3) with 25
cm wall thick………………………………….…………………133
Table 4.4 (a) Percentage change of fundamental period for model (4) case (1)
with 12 cm wall thick…………..………………………………..134
Table 4.4 (b) Percentage change of fundamental period for model (4) case (1)
with 25 cm wall thick…………..………………………………..134
Table 4.5 (a) Percentage change of Absorbed Energy for model (1) with 12 cm
wall thick….………………………………………………….….135
Table 4.5 (b) Percentage change of Absorbed Energy for model (1) with 25 cm
wall thick…….…………………………………………………..135
Table 4.6 (a) Percentage change of Absorbed Energy for model (2) with 12 cm
wall thick………………………………………………………...136
Table 4.6 (b) Percentage change of Absorbed Energy for model (2) with 25 cm
wall thick.......................................................................................136
x
Table 4.7 (a) Percentage change of Absorbed Energy for model (3) with 12 cm
wall thick………………………………………………………...137
Table 4.7 (b) Percentage change of Absorbed Energy for model (3) with 25 cm
wall thick………………………………………………………...137
Table 4.8 (a) Percentage change of Absorbed Energy for model (4) case (1)
with 12 cm wall thick………………………………………..…..138
Table 4.8 (b) Percentage change of Absorbed Energy for model (4) case (1)
with 25 cm wall thick………………………………………..…..138
Table 4.9 (a) Percentage change of Absorbed Energy for model (4) case (2)
with 12 cm wall thick……………………………………..……..139
Table 4.9 (b) Percentage change of Absorbed Energy for model (4) case (2)
with 25 cm wall thick……………………………………..……..139
Table 4.10 (a) Percentage change of Absorbed Energy for model (4) case (3)
with 12 cm wall thick…………………………..………………..140
Table 4.10 (b) Percentage change of Absorbed Energy for model (4) case (3)
with 25 cm wall thick…………………………...…………….…140
Table 5.1 Inter-story Drift Limit States (ASCE 2000)………...…………...143
xi
List of Figures
Fig. 2. 1 Global Capacity (Pushover) Curve of a Structure ………….........……..42
Fig. 2.2 View, plan, and typical reinforcement of the columns of the example
structures…………………………………….…………………….………….42
Fig. 2.3 The moment–rotation relationship for the plastic hinges in the columns
and beams, and the force–displacement relationship for the diagonal struts
representing the masonry infill…….……………….………………...…….43
Fig. 2.4 The force–displacement relationships of the diagonal struts
(incompression), measured in the horizontal direction….……………...43
Fig. 2.5 Calculated and experimental time-histories for the third-storey drift of the
bare frame, and for the first-storey drift of the partially infilled
frame…….........................................................................................................44
Fig. 2.6 Calculated and experimental storey shear versus storey drift relationships
for the bare frame (third storey), and for the partially infilled frame (first
storey)………………………………………………………………………....44
Fig. 2.7 Pushover Curves for all models……………………………………….….…45
Fig. 2.8 Plastic hinges…………………………………………….…………………....46
Fig. 2.9 Displacement versus Story Number for all Models of Structures…….…47
Fig. 2.10 Relative Displacements for all Models of Structure……………….........47
Fig. 2.11 Max. Plastic Hinge Rotation for all Models of Structures……………...48
Fig. 2.12 Envelope of the constitutive law…………………...……………………...48
Fig. 2.13 Force vs. displacement in an empty frame under monotonic loading (a)
Test (b) Numerical simulation with Abaqus…………..…...……….…....49
Fig. 2.14 Force vs. displacement in an infilled frame under monotonic loading (a)
Test (b) Numerical simulation with Abaqus….……...………………......50
Fig. 2.15 Force vs. displacement under cyclic loadings (a) _ D 2 (b) _ D 5 (c) _ D
1…………………………………………………….……………………..…..51
Fig. 2.16 Force vs. displacement in an empty frame under cyclic loading (a) Test
(b) Numerical simulation with Abaqus………….…….………………..….52
Fig. 2.17 Fluency moment vs. Plastic rotation……………..…………………....….52
xii
Fig. 2.18 Force vs. displacement in an infilled frame under cyclic loading (a) Test
(b) Numerical simulation with Abaqus………………………..…………53
Fig. 2.19 Parametric study on the softening parameters for rn = 0.1 MPa (a) α = 100
m_1; and (b) α= 1000 m_1……………………...…………………….......53
Fig. 3.1 (a) School Building Type (1)………………………….………………….63
Fig. 3.1 (b) School Building Type (2).....…………………...…………………….64
Fig. 3.1 (c) School Building Type (3)…………………………………..…………65
Fig. 3.1 (d) School Building Type (2) ……….………...………………...…….…66
Fig. 3.2 Details of Type (1),(3) Geometry and Reinforcement of Beams and
Columns used in the Investigated Frames (Before 1992)……….……...67
Fig. 3.3 Details of Type (2) Geometry and Reinforcement of Beams and Columns
used in the Investigated Frames (Before 1992)… ……………………...68
Fig. 3.4 Details of Type (4) Geometry and Reinforcement of Beams and Columns
used in the Investigated Frames(Before 1992)………………..…………69
Fig. 3.5 Concrete Confinement factor module……………………………………….70
Fig. 3.6 Triangular Lateral Load Pattern for Models (1&3)……………………...70
Fig. 3.7 The triangular lateral load pattern for Model (2)………...……………..71
Fig. 3.8 The triangular lateral load pattern for Model (4)…...…………………..71
Fig. 3.9 Seismicstruct Graphical User Inter Face……...……………………………..72
Fig. 3.10 Selection of Seismostruct Modeling Wizard...…...………………………….72
Fig. 3.11 Choice of Structural Analysis Model……………………………………...73
Fig. 3.12 Definition of Structural Dimension……………………...………………...73
Fig. 3.13 Reference Nominal Base Shear ……………………………...……………74
Fig. 3.14 Overall View of Modeled Frame…………...……………………………...74
Fig. 3.15 Sections Data Entry Screen……...…………………………………………....75
Fig. 3.16 Definition of Column's Dimensions and Reinforcement…..……………….75
Fig. 3.17 Definitions of Beam's Dimensions and Reinforcement...…………………..76
Fig. 3.18 Definitions of Cantilever's Cross-Sectional Dimensions and
Reinforcement…...………………………………….………….……………76
Fig. 3.19 Definitions of Permanent Loads through Applied Loading Tab……...….….77
Fig. 3.20 Selection of Analysis Output Members………..………………………..…77
xiii
Fig. 3.21 Running analysis Form.………………………………………………….78
Fig. 3.22 Infill Element Classes Module...………………………………………….78
Fig. 3.23 Parameters of Infill Wall panel…..….……………………………………79
Fig. 3.24 Properties of Blocks Used in Frame...…………………………………....79
Fig. 3.25 Wall Connectivity for each Floor………………………………………...80
Fig. 4.1 Analytical comparison of fundamental period for model (1) with different types
of masonry……………………………………….…………………..………103
Fig. 4.2 Analytical comparison of fundamental period for model (2) with different types
of masonry…………………………..………………………….………........104
Fig. 4.3 Analytical comparison of fundamental period for model (3) with different types
of masonry……..………………..……………………………………..…….105
Fig. 4.4 Analytical comparison of fundamental period for model (4) case (1) with
different types of masonry…………...……………………..……………….106
Fig. 4.5 Analytical comparison of absorbed energy relative to overall structure weight for
model (1) with different types of masonry .......................................……....107
Fig. 4.6 Analytical comparison of absorbed energy relative to overall structure weight for
model (2) with different types of masonry………………...…………..…...108
Fig. 4.7 Analytical comparison of absorbed energy relative to overall structure weight for
model 3 with different types of masonry………………….………………..109
Fig. 4.8 Analytical comparison of absorbed energy relative to overall structure weight for
model (4) case (1) with different types of masonry………………………..110
Fig. 4.9 Analytical comparison of absorbed energy relative to overall structure weight for
model (4) case (2) with different types of masonry………………………..111
Fig. 4.10 Analytical comparison of absorbed energy relative to overall structure weight for
model (4) case (3) with different types of masonry………………………..112
Fig. 4.11 Push over curves of model (1) for partially infilled frames (F150) using different
types of masonry……….…………………………………………….……..113
Fig. 4.12 Push over curves of model (1) with fully infilled frames (F1100) using different
types of masonry…………………….….……………………………….….114
Fig. 4.13 Push over curves of model (1) with fully infilled frames with ground floor wall
(F1100G) using different types of masonry………………..………………..115
xiv
Fig. 4.14 Push over curves of model (2) with partially infilled frames (F250) using
different types of masonry……………………….…………………………116
Fig. 4.15 Push over curves of model (2) with fully infilled frames (F2100) using different
types of masonry………………..……..…………………………………….117
Fig. 4.16 Push over curves of model (2) with fully infilled frames with ground floor wall
(F2100G) using different types of masonry………………………………...118
Fig. 4.17 Push over curves of model (3) with partially infilled frames (F350) using
different types of masonry…………………………………………………..119
Fig. 4.18 Push over curves of model (3) with fully infilled frames (F3100) using different
types of masonry……………………………………………………………..120
Fig. 4.19 Push over curves of model (3) with fully infilled frames with ground floor wall
(F3100G) using different types of masonry………………………………...121
Fig. 4.20 Push over curves of model (4) case (1) with partially infilled frames (F450) using
different types of masonry………………………………………….………122
Fig. 4.21 Push over curves of model (4) case (1) with fully infilled frames (F4100) using
different types of masonry…………………………………………………..123
Fig. 4.22 Push over curves of model (4) case (1) with fully infilled frames with ground
floor wall (F4100G) using different types of masonry……………………..124
Fig. 4.23 Push over curves of model (4) case (2) with partially infilled frames (F450) using
different types of masonry………………………………………………..…125
Fig. 4.24 Push over curves of model (4) case (2) with fully infilled frames (F3100) using
different types of masonry…………………………………………………..126
Fig. 4.25 Push over curves of model (4) case (2) with fully infilled frames with ground
floor wall (F4100G) using different types of masonry……………………..127
Fig. 4.26 Push over curves of model (4) case (3) with partially infilled frames (F450) using
different types of masonry…………………………………...………..…….128
Fig. 4.27 Push over curves of model (4) case (3) with fully infilled frames (F4100) using
different types of masonry…………………………………………………..129
Fig. 4.28 Push over curves of model (4) case (3) with fully infilled frames with ground
floor wall (F4100G) using different types of masonry……………………..130
Chapter (1)
1
CHAPTER (1)
INTRODUCTION
1.1 General
Prior to October 1992 Cairo earthquake, it was a common
practice in Egypt to design and detail medium rise building to resist
gravity loads only. With no consideration to any lateral load caused by
wind or earthquakes. In fact, the majority of public buildings were
designed according to this concept. In addition, structural ductility did
not represent a major concern for engineers due to lack of scientific
research in the field of structural performance during earthquakes and
wind gusts.
Accordingly, there were no special recommendations for
reinforcement details at critical zones. Special reinforcement details
were not present for beam-column connections to ensure weak-beam
strong-column concept. Effect of lengths and locations of steel lap
splices on structural ductility was not well studied yet. Moreover,
relation between minimum reinforcement ratio in columns and column
slenderness ratio was not followed seriously during structural design.
For these reasons, old existing RC buildings are believed to be
vulnerable to damage from lateral loading caused by severe earthquakes.
Some of mid-rise buildings survived from collapse during 1992
October earthquake due to existence of masonry walls. Masonry infill
walls are found in most existing concrete frame building systems. These
masonry infill walls which are constructed after completion of concrete
frames are considered as non-structural elements. Although they are
designed to perform architectural functions, infill walls have a
considerable strength and stiffness and they have significant effect on
the seismic response of the structural system with substantial structural
Chapter (1)
2
action. There is a general agreement among researchers that infilled
frames have greater strength as compared to frames without infill walls.
The presence of the infill walls increases the lateral stiffness
considerably. Due to the change in stiffness and mass of the structural
system, the dynamic characteristics change, as well. Thickness, heigh t,
and type of masonry infill walls were noticed to affect overall structural
performance during lateral loads.
Post-earthquake field investigations in most earthquake regions
in the world demonstrated that school buildings are notably vulnerable
due to their typical architectural pattern. The school buildings and pre -
school facilities in Egypt are mainly represented by two constructive
systems: bricks and RC frame-panel, which constitute the major portion
of the school buildings stock, and a few buildings are made up of adobe
bricks. Therefore, it was found to be worthy to study structural
performance of RC frame panels used in school buildings with variable
arrangement of infill walls for common types of school buildings in
Egypt.
1.2 Objectives
The main objective of this study is to study the effect of infill wall
panels on the overall structural performance of old existing school buildings
against lateral loads. In this research, the effect of masonry infill on the seismic
response of school buildings using push over analysis is studied numerically
using non-linear numerical techniques. A comparison has been made with the
behavior of bare frame. The numerical analysis results indicated that the infill
can completely change the distribution of damage throughout the structure. The
infill can have a beneficial effect on structural response, provided that they are
placed regularly throughout the structure.
Chapter (1)
3
1.4 Thesis Arrangement
Besides this introductory chapter, thesis is organized in 5 chapters as
follows. In chapter 2, the philosophy of analysis using various pushover
techniques is introduced. Past studies that discussed the modal pushover
analysis and standard lateral load patterns such as triangular, uniform, first
mode, and IBC are discussed, in addition to studies related to numerical
modeling for masonry infill wall and their effect on seismic resistance of
reinforced concrete frames.
In chapter 3, the layout and design details of old existing school
buildings are represented. These buildings consists of four models. They are
designed before 1992. Details of numerical analysis performed for previously
mentioned structures using standard pushover analysis are representing.
Analysis details represent material modeling, geometrical description,
designation, …etc. for studied models.
Chapter 4, discuss results of different analyses procedures performed
for the studied frames. Listed analysis results in this chapter are, fundamental
period and energy absorbed of each frame and the relation between base shear
and percentage of story drift.
In chapter 5, a detailed statistical analysis of the seismic responses
obtained by triangular pushover load pattern is presented. And conclusions
from the results of these different analyses procedures for the studied frames
are presented.
In chapter 6, the main conclusions of this study are reported, in
addition to some recommendation for future studies.
Chapter (2)
4
CHAPTER (2)
THEORETICAL BACKGROUND AND
LITERATURE REVIEW
2.3 Introduction
It has been observed by most researchers, that infill masonry
panals are seldom included in the analysis of reinforced concrete (R/C)
frames. Most engineers consider masonry panals as non-structural
elements especially in skeleton structure. However, experimental tests
showed a significant difference in structural response of R/C masonry
infilled frames compared to R/C bare frames especially under lateral
loading.
Accordingly, a lot of research efforts have been directed in recent
years to explore the effect of masonry infill panals on the structural
behavior of R/C frames under seismic loads. Moreover, other research
efforts have been directed to find the most convenient methods to
numerical modeling of masonry infilled R/C frames. The following
sections review both the theoretical background and the available
literature for pushover analysis methods for R/C frames and modeling of
masonry infill panels.
Chapter (2)
5
2.4 Theoretical Background
2.4.1 Push-over Analysis.
2.2.1.1 Description of Pushover Analysis
Pushover analysis is an approximate analysis method in which the
structure is subjected to monotonically increasing lateral forces with an
invariant height-wise distribution until a target displacement is reached.
Pushover analysis consists of a series of sequential elastic
analyses, superimposed to approximate a force-displacement curve of
the overall structure. A two or three dimensional model which includes
bilinear or trilinear load-deformation diagrams of all lateral force
resisting elements is first created and gravity loads are applied initially.
A predefined lateral load pattern which is distributed along the building
height is then applied. The lateral forces are increased until some
members yield. The structural model is modified to account for the
reduced stiffness of yielded members and lateral forces are again
increased until additional members yield. The process is continued unt il
a control displacement at the top of building reaches a certain level of
deformation or structure becomes unstable. The roof displacement is
plotted with base shear to get the global capacity curve, as shown in Fig.
(2.1).
Pushover analysis can be performed as force-controlled or
displacement controlled. In force-controlled pushover procedure, full
load combination is applied as specified, i.e, force-controlled procedure
should be used when the load is known (such as gravity loading). Also,
in force-controlled pushover procedure some numerical problems that
affect the accuracy of results occur since target displacement may be
associated with a very small positive or even a negative lateral stiffness
because of the development of mechanisms and P-delta effects. Analysis