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Effect of Masonry Walls in the
Progressive Collapse of a Ten
Storied RC Building
Under the Guidance of
Dr. Yamini Sreevalli I
Kunal Sahu 12BCL1034
Nataraj Sai Charan 12BCL1053
Harshit Kumar 12BCL1010
Abstract
 The collapse that progresses from the failure of a local member to the entire
structure or major portion of the structure is called progressive collapse.
 In this project the behaviour of Masonry wall aided structure towards progressive
load, will be studied for a ten storey reinforced concrete OMRF (Ordinary moment),
designed according to Indian standards.
 The analysis methods followed for this are Linear Static, Non-Linear Static and
Non-Linear Dynamic analysis. These analysis are done as per the GSA guidelines for
Progressive Collapse Analysis.
Introduction
 The propagation of damage occurred in a
local member of a structure to a majority or
complete structure is known as progressive
collapse.
 Many events including overload due to
change in utility of structure, structural
modifications, deterioration and degradation
of structural member, accidents or attacks like
impact or explosion can trigger the local
damage which may lead to progressive
collapse.
Fig 1 The Partial Collapse of Ronan Point structure
Objectives
The main consideration from the structure perspective to resist progressive collapse is
ductility and redundancy. Generally seismic resistance structure is considered to
behave in a ductile manner during seismic events. Hence the main objective of the
study is:
 To compare the behaviour of the structure during linear static analysis, non linear
static analysis and non linear dynamic analysis.
 To study the effect of infill on the structure towards resistance of progressive
collapse.
Progressive collapse analysis
 Guidelines set by different agencies, General Service administration (GSA) and
Department of Defense (DoD), for progressive collapse analysis are threat
independent i.e., the analysis is independent of the cause of local damage.
 GSA has provided certain guidelines for the progressive collapse analysis of a
structure which consists of analyzing a structure for different column removal
scenarios. The analysis can be performed as linear static, non linear static, non
linear dynamic for the column removal scenarios.
Column removal Scenarios suggested by GSA are as follows:
 Instantaneous loss of an exterior column of ground storey located at or near the
middle of the short side of the building.
 Instantaneous loss of an exterior column of ground storey at or near the middle of
the long side of the building.
 Instantaneous loss of an exterior column of ground storey located at the corner of
the building.
 Analyses for the instantaneous loss of one column that exceeds from the floor of
the underground parking area or uncontrolled public ground floor area to the next
floor. The column considered should be interior to the perimeter column line.
Fig 3 Column removal scenario
Design of Building
To achieve the objective a ten storey RC structure was designed according to Indian
Standards IS456 and IS1893. Methodology followed is given below:
 Preliminary analysis for gravity and seismic loads using STAAD pro V8i.
 Structure is designed according to IS 456.
 Load combinations taken from IS1893.
 The frames are then modeled in SAP2000.
 Linear Static, Non linear Static and Non linear Dynamic analyses is done for various
column removal cases.
StaadPro model and Design of Sections
RC structure model is analysed for
different load combinations in
STAADPro V8i, the members are
designed using Limit State method
according to IS 456, as number of
elements designed is very large.
The layout of the structure and
design reinforcement detail for one
column and one beam is shown in
next slide.
Fig. 4 Layout of structure in STAADPro V8i
 Design of Beam

Fig. 5 Design of Column Fig. 6 Design of Beam
Load Cases and Loadings:
Dead Loads:
 Self weight of Column 6.25 kN/m2
 Self weight of beam 3.5 kN/m2
 Self weight of Slab 2.5 kN/m2
 Floor Finish 1 kN/m2
 Water proofing (terrace) 2 kN/m2
 Brick wall 3.5 m high(110 mm thick) 8.99 kN/m2
0.11x19(wall)+2x0.012x20(plaster)
Imposed Loads:
 Typical floor 2 kN/m2
 Terrace 1.5 kN/m2
Linear Static Procedure
 The linear static analysis procedure is performed using an amplified (by a factor of
2) combination of service loads, such as dead and live, applied statically, Load = 2
x(DL + 0.25LL).
 This analysis procedure is the simplest and easiest to perform. However, it is limited
to relatively simple structures where both nonlinear effects and dynamic response
effects can be easily and intuitively predicted.
 Response is evaluated by demand to capacity ratios (DCR), which for our study
shall not exceed a value of 2.
This analysis procedure involves the following steps:
1. Build a finite-element computer model;
2. Apply the amplified static load combination as defined by Load = 2 x(DL
+ 0.25LL;
3. Perform static linear analysis, a standard analysis procedure in SAP2000; and
4. Evaluate the results based on demand to capacity ratios (DCR).
Now that the member forces are known, the DCR can be found by taking the ratio of the
maximum moment in the beam to its ultimate capacity as illustrated in equation below:
𝐷𝐶𝑅 =
𝑀𝑚𝑎𝑥
𝑀𝑝
Instantaneous loss of an exterior column of ground
storey located at or near the middle of the short side
of the building
 Mp value is calculated using IS 456-2000 (Annex G). It comes as 253 kNm.
 Mmax comes as 802.78 kNm.
So the ratio comes as 3.17, which is more
than 2.
We can conclude that this
structure does not satisfy the GSA
progressive collapse criteria. Additionally,
by examining calculated DCR values, it
can be seen that this structure exceeds by
58.5%.
Instantaneous loss of an exterior column of ground
storey at or near the middle of the long side of the
building
Maximum negative bending
moment comes as 808.3, so
the DCR value comes as 3.19.
Hence it is not safe.
Instantaneous loss of an exterior column of ground
storey located at the corner of the building
Maximum negative
bending moment
comes as 921.9, so the
DCR value comes as
3.64. Hence it is not
safe.
Column interior to the perimeter column
line
Maximum negative
bending moment
comes as 573, so the
DCR value comes as
2.26. Hence it is not
safe.
On adding Infill Masonry Walls
 Masonry is the building of structures from individual units laid in and bound
together by mortar; the term masonry can also refer to the units themselves.
 The common materials of masonry construction are brick, building stone such as
marble, granite, travertine, and limestone, cast stone, concrete block, glass block,
and cob. Masonry is generally a highly durable form of construction.
 The infill walls are usually considered as non-structural elements. In conventional
analysis and design, only considering the non-structural elements as loads, the
stiffness and strengthen are usually ignored throughout the processes.
 However, the infill wall may significantly change the collapse resistant potentials
and damage patterns. In addition, most of the practical frames contain infill walls
rather than bare frames.
These infilled masonry walls are provided
on the exterior of the structure assuming
that the building will be used for
exhibitions, as an art gallery or show room,
etc., so that there are no walls inside the
building. Only external walls 230 mm thick
with 12 mm plaster on both sides are
considered. The building with infilled
masonry walls model is as shown in Fig. 7.
Fig. 7 Structure with infill masonry walls
Instantaneous loss of an exterior column of
ground storey located at or near the middle of
the short side of the building
Mmax comes as 172.23 kNm. So the ratio
comes as 0.685, which is less than 2. We
can conclude that this structure satisfies
the GSA progressive collapse criteria.
Additionally, by examining calculated
DCR values, it can be seen that this
structure has DCR value nearly 4.63 times
less than previous structure.
Instantaneous loss of an exterior column of
ground storey at or near the middle of the long
side of the building
Maximum negative bending
moment comes as 172.33, so
the DCR value comes as
0.685. Hence it is safe.
Instantaneous loss of an exterior column of
ground storey located at the corner of the
building
Maximum negative
bending moment
comes as 167.94, so
the DCR value comes
as 0.66. Hence it is
safe.
Column interior to the perimeter column
line
Maximum negative
bending moment
comes as 282.66, so the
DCR value comes as
1.12. Hence it is safe.
Column Location DCR initially DCR with masonry
Exterior Short Side Column 3.17 0.685
Exterior Long Side Column 3.19 0.685
Exterior Corner Column 3.64 0.66
Interior Column 2.26 1.12
DCR values of selected columns
3.17
3.19
3.64
2.26
0 0.5 1 1.5 2 2.5 3 3.5 4
Exterior Short Side
Exterior Long Side
Exterior Corner Column
Interior Column
DCR without infills
0.685
0.685
0.66
1.12
0 0.2 0.4 0.6 0.8 1 1.2
Exterior Short Side
Exterior Long Side
Exterior Corner Column
Interior Column
DCR with infills
4.63
4.66
5.5
2.02
0 1 2 3 4 5 6
Exterior Short Side
Exterior Long Side
Exterior Corner Column
Interior Column
Change in DCR values after introducing infills
3.17
3.19
3.64
2.26
0.685
0.685
0.66
1.12
Exterior Short Side Exterior Long Side Exterior Corner Column Interior Column
Comparison for each column cases
DCR without infills DCR with infills
Nonlinear Static Procedure
 For progressive collapse analysis, a nonlinear static analysis method implies a
stepwise increase of amplified (by a factor of 2) vertical loads, as prescribed by
given Eq. Load = 2 x(DL + 0.25LL), until maximum amplified loads are attained or
until the structure collapses.
 This means that in most cases vertical pushover analysis would be load controlled;
in analysing for progressive collapse potential, structural performance under
amplified service loads is evaluated.
Nonlinear static analysis procedure is limited to structures where dynamic behavior patterns
can be easily and intuitively identified and involves the following steps:
1. Build a finite-element computer model;
2. Define and assign nonlinear plastic hinge properties, which involve estimating element
capacities and force-displacement relations;
3. Apply static load combinations, defined by given Eq. Load = 2 x(DL + 0.25LL),
4. Perform nonlinear static analysis, a standard procedure available in ETABS; and
5. Verify and evaluate the results based on the maximum load resisted as well as maximum
ductility and rotation values.
Instantaneous loss of an exterior column of
ground storey located at the corner of the
building without infill.
Pushover
curve
Instantaneous loss of an exterior column of
ground storey located at the corner of the
building with infill.
Instantaneous loss of an exterior column of
ground storey at or near the middle of the long
side of the building without infill.
Pushover
curve
Instantaneous loss of an exterior column of
ground storey at or near the middle of the long
side of the building with infill.
Instantaneous loss of an exterior column of
ground storey located at or near the middle of
the short side of the building without infill.
Pushover
curve
Instantaneous loss of an exterior column of
ground storey located at or near the middle of
the short side of the building with infill.
Column interior to the perimeter column
line without infill.
Pushover
Curve
Column interior to the perimeter column
line with infill.
The performance of structure under different
column removal case in pushdown analysis with
and without infill.
0
5000
10000
15000
20000
25000
30000
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Base
force
(kN)
Displacement (cm)
Corner Column removed
with infill
without infill
0
5000
10000
15000
20000
25000
30000
35000
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
Base
force
(kN)
Displacement (cm)
Interior column removed
with infills
without infills
0
5000
10000
15000
20000
25000
30000
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
Base
force
(kN)
Displacement (cm)
Long side column removed
0
5000
10000
15000
20000
25000
30000
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
Base
force
(kN)
Displacement (cm)
Short side column removed
with infill
without infill
Combined results of the four column
removal cases without infill.
0
5000
10000
15000
20000
25000
30000
0 0.9 1.8 2.7 3.6 4.5 5.4 6.3 7.2 8.1 9 9.9 10.8 11.7 12.6 13.5 14.4 15.3 16.2 17.1 18 18.9 19.8 20.7
Base
force
(kN)
Displacement (cm)
Four column cases without infill
corner column
interior column
long side column
short side column
Combined results of the four column
removal cases with infill.
0
5000
10000
15000
20000
25000
30000
35000
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
Base
force
(kN)
Displacement (cm)
Four column removal cases with infill
corner column
interior column
long side column
short side column
Non Linear Dynamic Procedure
The nonlinear dynamic procedure for progressive collapse is the most thorough
method of analysis in which a primary load-bearing structural element is removed
dynamically and the structural material is allowed to undergo nonlinear behavior. This
allows larger deformations and energy dissipation through material yielding, cracking,
and fracture. Dynamic analysis procedures, especially nonlinear dynamic, are usually
avoided due to the complexity of the analysis.
Nonlinear dynamic analysis is performed similarly to linear dynamic analysis with the
exception that now the structural elements are allowed to enter their inelastic range.
We have used the initial conditions methodology to perform this analysis.
The following steps are involved:
1. Build a finite-element computer model.
2. Find the deflected shape of the loaded, undamaged structure.
This involves static analysis of the undamaged structure (i.e., with missing column
present).
3. Apply dynamic load combinations as defined by Eq. Load = DL + 0.25LL
4. Perform nonlinear time history analysis with initial conditions, which is available as a
standard analysis type in SAP2000.
5. Verify and evaluate the results based on the maximum ductility and rotation values.
Verification of nonlinear analysis is a somewhat complicated process and may involve
several computer analysis re-runs with varying nonlinear integration parameters, until
a stable and physically possible solution is found.
-0.5
-0.4
-0.3
-0.2
-0.1
0
0.1
0.2
0.3
0.4
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Displacement
(mm)
Time (sec)
Behaviour of building without Struts
Shorter Side Longer Side Interior Column Corner Column
The effects of masonry-infill walls
Masonry is the building of structures from individual units laid in and bound
together by mortar; the term masonry can also refer to the units themselves. The
common materials of masonry construction are brick, building stone such as marble,
granite, travertine, and limestone, cast stone, concrete block, glass block, and cob.
Masonry is generally a highly durable form of construction.
The infill walls are usually considered as non-structural elements. In conventional
analysis and design, only considering the non-structural elements as loads, the
stiffness and strengthen are usually ignored throughout the processes. However, the
infill wall may significantly change the collapse resistant potentials and damage
patterns. In addition, most of the practical frames contain infill walls rather than bare
frames. Unlike many researches on effects of infill walls in the seismic collapse, up to
now, there are only a few of researches had been done on effects of infill wall in the
progressive collapse.
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Displacement
(mm)
Time (sec)
Behaviour of building with Struts
Shorter Side Longer Side Interior Column Corner Column
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Displacement
(mm)
Time (sec)
Behaviour of building without Adjacent Struts
Shorter Side Longer Side Corner Column
-0.25
-0.2
-0.15
-0.1
-0.05
0
0.05
0.1
0.15
0.2
0.25
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Displacement
(mm)
Time (sec)
Behaviour of Shorter side Column
With Strut Without adjacent Strut Without Strut
-0.3
-0.25
-0.2
-0.15
-0.1
-0.05
0
0.05
0.1
0.15
0.2
0.25
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Displacement
(mm)
Time (sec)
Behaviour of Longer Side Column
With Strut Without adjacent strut Without Struts
-0.006
-0.004
-0.002
0
0.002
0.004
0.006
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Displacememt
(mm)
Time (sec)
Behaviour of Interior Column
Without Strut With Strut
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Displacement
(mm)
Time (sec)
Behaviour of Corner Column
Without Strut Without adjacent Struts With Struts
Conclusion
 The effect of the infill masonry wall on progressive collapse on a RC building under four
different cases of column loss is evaluated under this study. Compression-strut
elements are used to simulate the brick infills.
 Linear static analysis gives the DCR value for different column removal cases. DCR
values has been found with bare frames and with infill masonry walls. It has been
observed that there has been a huge reduction in DCR values of structure with infill
masonry walls as compared to bare frame structure.
 Nonlinear dynamic analysis shows the displacement of that joint with respect to time
just after the removal of the column. As we can see in the presented graphs that the
introduction of infills has significantly reduced the displacement of that joint and
provides more stable position in lesser time duration. Combined graphs show that the
interior column is the most stable column as compared to other three columns.
 Nonlinear static analysis has shown the behavior of the building in presence of the
infill as resistant towards progressive collapse. The analysis results clearly indicates
that on the bare frame without the brick infill has given lesser value of the base
force, more load is required in the case where infill is present which helps to resist
the building towards progressive collapse. Out of all the column cases it is clear
that the loss of corner column may lead to greater damage to the building as it
becomes most vulnerable among the four cases.
 So by a careful observation of all the three analysis we can say that the infilled
frame action showed a significant role in collapse resistance. Neglecting
nonstructural masonry walls in progressive collapse analysis may lead to incorrect
structural behavior and uneconomic design.

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Effect of masonry walls in the progressive collapse of a ten storied rc building

  • 1. Effect of Masonry Walls in the Progressive Collapse of a Ten Storied RC Building Under the Guidance of Dr. Yamini Sreevalli I Kunal Sahu 12BCL1034 Nataraj Sai Charan 12BCL1053 Harshit Kumar 12BCL1010
  • 2. Abstract  The collapse that progresses from the failure of a local member to the entire structure or major portion of the structure is called progressive collapse.  In this project the behaviour of Masonry wall aided structure towards progressive load, will be studied for a ten storey reinforced concrete OMRF (Ordinary moment), designed according to Indian standards.  The analysis methods followed for this are Linear Static, Non-Linear Static and Non-Linear Dynamic analysis. These analysis are done as per the GSA guidelines for Progressive Collapse Analysis.
  • 3. Introduction  The propagation of damage occurred in a local member of a structure to a majority or complete structure is known as progressive collapse.  Many events including overload due to change in utility of structure, structural modifications, deterioration and degradation of structural member, accidents or attacks like impact or explosion can trigger the local damage which may lead to progressive collapse. Fig 1 The Partial Collapse of Ronan Point structure
  • 4. Objectives The main consideration from the structure perspective to resist progressive collapse is ductility and redundancy. Generally seismic resistance structure is considered to behave in a ductile manner during seismic events. Hence the main objective of the study is:  To compare the behaviour of the structure during linear static analysis, non linear static analysis and non linear dynamic analysis.  To study the effect of infill on the structure towards resistance of progressive collapse.
  • 5. Progressive collapse analysis  Guidelines set by different agencies, General Service administration (GSA) and Department of Defense (DoD), for progressive collapse analysis are threat independent i.e., the analysis is independent of the cause of local damage.  GSA has provided certain guidelines for the progressive collapse analysis of a structure which consists of analyzing a structure for different column removal scenarios. The analysis can be performed as linear static, non linear static, non linear dynamic for the column removal scenarios.
  • 6. Column removal Scenarios suggested by GSA are as follows:  Instantaneous loss of an exterior column of ground storey located at or near the middle of the short side of the building.  Instantaneous loss of an exterior column of ground storey at or near the middle of the long side of the building.  Instantaneous loss of an exterior column of ground storey located at the corner of the building.  Analyses for the instantaneous loss of one column that exceeds from the floor of the underground parking area or uncontrolled public ground floor area to the next floor. The column considered should be interior to the perimeter column line.
  • 7. Fig 3 Column removal scenario
  • 8. Design of Building To achieve the objective a ten storey RC structure was designed according to Indian Standards IS456 and IS1893. Methodology followed is given below:  Preliminary analysis for gravity and seismic loads using STAAD pro V8i.  Structure is designed according to IS 456.  Load combinations taken from IS1893.  The frames are then modeled in SAP2000.  Linear Static, Non linear Static and Non linear Dynamic analyses is done for various column removal cases.
  • 9. StaadPro model and Design of Sections RC structure model is analysed for different load combinations in STAADPro V8i, the members are designed using Limit State method according to IS 456, as number of elements designed is very large. The layout of the structure and design reinforcement detail for one column and one beam is shown in next slide. Fig. 4 Layout of structure in STAADPro V8i
  • 10.  Design of Beam  Fig. 5 Design of Column Fig. 6 Design of Beam
  • 11. Load Cases and Loadings: Dead Loads:  Self weight of Column 6.25 kN/m2  Self weight of beam 3.5 kN/m2  Self weight of Slab 2.5 kN/m2  Floor Finish 1 kN/m2  Water proofing (terrace) 2 kN/m2  Brick wall 3.5 m high(110 mm thick) 8.99 kN/m2 0.11x19(wall)+2x0.012x20(plaster) Imposed Loads:  Typical floor 2 kN/m2  Terrace 1.5 kN/m2
  • 12. Linear Static Procedure  The linear static analysis procedure is performed using an amplified (by a factor of 2) combination of service loads, such as dead and live, applied statically, Load = 2 x(DL + 0.25LL).  This analysis procedure is the simplest and easiest to perform. However, it is limited to relatively simple structures where both nonlinear effects and dynamic response effects can be easily and intuitively predicted.  Response is evaluated by demand to capacity ratios (DCR), which for our study shall not exceed a value of 2.
  • 13. This analysis procedure involves the following steps: 1. Build a finite-element computer model; 2. Apply the amplified static load combination as defined by Load = 2 x(DL + 0.25LL; 3. Perform static linear analysis, a standard analysis procedure in SAP2000; and 4. Evaluate the results based on demand to capacity ratios (DCR). Now that the member forces are known, the DCR can be found by taking the ratio of the maximum moment in the beam to its ultimate capacity as illustrated in equation below: 𝐷𝐶𝑅 = 𝑀𝑚𝑎𝑥 𝑀𝑝
  • 14. Instantaneous loss of an exterior column of ground storey located at or near the middle of the short side of the building
  • 15.  Mp value is calculated using IS 456-2000 (Annex G). It comes as 253 kNm.  Mmax comes as 802.78 kNm. So the ratio comes as 3.17, which is more than 2. We can conclude that this structure does not satisfy the GSA progressive collapse criteria. Additionally, by examining calculated DCR values, it can be seen that this structure exceeds by 58.5%.
  • 16. Instantaneous loss of an exterior column of ground storey at or near the middle of the long side of the building
  • 17. Maximum negative bending moment comes as 808.3, so the DCR value comes as 3.19. Hence it is not safe.
  • 18. Instantaneous loss of an exterior column of ground storey located at the corner of the building
  • 19. Maximum negative bending moment comes as 921.9, so the DCR value comes as 3.64. Hence it is not safe.
  • 20. Column interior to the perimeter column line
  • 21. Maximum negative bending moment comes as 573, so the DCR value comes as 2.26. Hence it is not safe.
  • 22. On adding Infill Masonry Walls  Masonry is the building of structures from individual units laid in and bound together by mortar; the term masonry can also refer to the units themselves.  The common materials of masonry construction are brick, building stone such as marble, granite, travertine, and limestone, cast stone, concrete block, glass block, and cob. Masonry is generally a highly durable form of construction.  The infill walls are usually considered as non-structural elements. In conventional analysis and design, only considering the non-structural elements as loads, the stiffness and strengthen are usually ignored throughout the processes.  However, the infill wall may significantly change the collapse resistant potentials and damage patterns. In addition, most of the practical frames contain infill walls rather than bare frames.
  • 23. These infilled masonry walls are provided on the exterior of the structure assuming that the building will be used for exhibitions, as an art gallery or show room, etc., so that there are no walls inside the building. Only external walls 230 mm thick with 12 mm plaster on both sides are considered. The building with infilled masonry walls model is as shown in Fig. 7. Fig. 7 Structure with infill masonry walls
  • 24. Instantaneous loss of an exterior column of ground storey located at or near the middle of the short side of the building Mmax comes as 172.23 kNm. So the ratio comes as 0.685, which is less than 2. We can conclude that this structure satisfies the GSA progressive collapse criteria. Additionally, by examining calculated DCR values, it can be seen that this structure has DCR value nearly 4.63 times less than previous structure.
  • 25. Instantaneous loss of an exterior column of ground storey at or near the middle of the long side of the building Maximum negative bending moment comes as 172.33, so the DCR value comes as 0.685. Hence it is safe.
  • 26. Instantaneous loss of an exterior column of ground storey located at the corner of the building Maximum negative bending moment comes as 167.94, so the DCR value comes as 0.66. Hence it is safe.
  • 27. Column interior to the perimeter column line Maximum negative bending moment comes as 282.66, so the DCR value comes as 1.12. Hence it is safe.
  • 28. Column Location DCR initially DCR with masonry Exterior Short Side Column 3.17 0.685 Exterior Long Side Column 3.19 0.685 Exterior Corner Column 3.64 0.66 Interior Column 2.26 1.12 DCR values of selected columns
  • 29. 3.17 3.19 3.64 2.26 0 0.5 1 1.5 2 2.5 3 3.5 4 Exterior Short Side Exterior Long Side Exterior Corner Column Interior Column DCR without infills 0.685 0.685 0.66 1.12 0 0.2 0.4 0.6 0.8 1 1.2 Exterior Short Side Exterior Long Side Exterior Corner Column Interior Column DCR with infills
  • 30. 4.63 4.66 5.5 2.02 0 1 2 3 4 5 6 Exterior Short Side Exterior Long Side Exterior Corner Column Interior Column Change in DCR values after introducing infills 3.17 3.19 3.64 2.26 0.685 0.685 0.66 1.12 Exterior Short Side Exterior Long Side Exterior Corner Column Interior Column Comparison for each column cases DCR without infills DCR with infills
  • 31. Nonlinear Static Procedure  For progressive collapse analysis, a nonlinear static analysis method implies a stepwise increase of amplified (by a factor of 2) vertical loads, as prescribed by given Eq. Load = 2 x(DL + 0.25LL), until maximum amplified loads are attained or until the structure collapses.  This means that in most cases vertical pushover analysis would be load controlled; in analysing for progressive collapse potential, structural performance under amplified service loads is evaluated.
  • 32. Nonlinear static analysis procedure is limited to structures where dynamic behavior patterns can be easily and intuitively identified and involves the following steps: 1. Build a finite-element computer model; 2. Define and assign nonlinear plastic hinge properties, which involve estimating element capacities and force-displacement relations; 3. Apply static load combinations, defined by given Eq. Load = 2 x(DL + 0.25LL), 4. Perform nonlinear static analysis, a standard procedure available in ETABS; and 5. Verify and evaluate the results based on the maximum load resisted as well as maximum ductility and rotation values.
  • 33. Instantaneous loss of an exterior column of ground storey located at the corner of the building without infill. Pushover curve
  • 34. Instantaneous loss of an exterior column of ground storey located at the corner of the building with infill.
  • 35. Instantaneous loss of an exterior column of ground storey at or near the middle of the long side of the building without infill. Pushover curve
  • 36. Instantaneous loss of an exterior column of ground storey at or near the middle of the long side of the building with infill.
  • 37. Instantaneous loss of an exterior column of ground storey located at or near the middle of the short side of the building without infill. Pushover curve
  • 38. Instantaneous loss of an exterior column of ground storey located at or near the middle of the short side of the building with infill.
  • 39. Column interior to the perimeter column line without infill. Pushover Curve
  • 40. Column interior to the perimeter column line with infill.
  • 41. The performance of structure under different column removal case in pushdown analysis with and without infill. 0 5000 10000 15000 20000 25000 30000 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Base force (kN) Displacement (cm) Corner Column removed with infill without infill
  • 42. 0 5000 10000 15000 20000 25000 30000 35000 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Base force (kN) Displacement (cm) Interior column removed with infills without infills
  • 43. 0 5000 10000 15000 20000 25000 30000 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Base force (kN) Displacement (cm) Long side column removed
  • 44. 0 5000 10000 15000 20000 25000 30000 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Base force (kN) Displacement (cm) Short side column removed with infill without infill
  • 45. Combined results of the four column removal cases without infill. 0 5000 10000 15000 20000 25000 30000 0 0.9 1.8 2.7 3.6 4.5 5.4 6.3 7.2 8.1 9 9.9 10.8 11.7 12.6 13.5 14.4 15.3 16.2 17.1 18 18.9 19.8 20.7 Base force (kN) Displacement (cm) Four column cases without infill corner column interior column long side column short side column
  • 46. Combined results of the four column removal cases with infill. 0 5000 10000 15000 20000 25000 30000 35000 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Base force (kN) Displacement (cm) Four column removal cases with infill corner column interior column long side column short side column
  • 47. Non Linear Dynamic Procedure The nonlinear dynamic procedure for progressive collapse is the most thorough method of analysis in which a primary load-bearing structural element is removed dynamically and the structural material is allowed to undergo nonlinear behavior. This allows larger deformations and energy dissipation through material yielding, cracking, and fracture. Dynamic analysis procedures, especially nonlinear dynamic, are usually avoided due to the complexity of the analysis. Nonlinear dynamic analysis is performed similarly to linear dynamic analysis with the exception that now the structural elements are allowed to enter their inelastic range. We have used the initial conditions methodology to perform this analysis.
  • 48. The following steps are involved: 1. Build a finite-element computer model. 2. Find the deflected shape of the loaded, undamaged structure. This involves static analysis of the undamaged structure (i.e., with missing column present). 3. Apply dynamic load combinations as defined by Eq. Load = DL + 0.25LL 4. Perform nonlinear time history analysis with initial conditions, which is available as a standard analysis type in SAP2000. 5. Verify and evaluate the results based on the maximum ductility and rotation values. Verification of nonlinear analysis is a somewhat complicated process and may involve several computer analysis re-runs with varying nonlinear integration parameters, until a stable and physically possible solution is found.
  • 49. -0.5 -0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 0.4 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Displacement (mm) Time (sec) Behaviour of building without Struts Shorter Side Longer Side Interior Column Corner Column
  • 50. The effects of masonry-infill walls Masonry is the building of structures from individual units laid in and bound together by mortar; the term masonry can also refer to the units themselves. The common materials of masonry construction are brick, building stone such as marble, granite, travertine, and limestone, cast stone, concrete block, glass block, and cob. Masonry is generally a highly durable form of construction. The infill walls are usually considered as non-structural elements. In conventional analysis and design, only considering the non-structural elements as loads, the stiffness and strengthen are usually ignored throughout the processes. However, the infill wall may significantly change the collapse resistant potentials and damage patterns. In addition, most of the practical frames contain infill walls rather than bare frames. Unlike many researches on effects of infill walls in the seismic collapse, up to now, there are only a few of researches had been done on effects of infill wall in the progressive collapse.
  • 51. -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Displacement (mm) Time (sec) Behaviour of building with Struts Shorter Side Longer Side Interior Column Corner Column
  • 52. -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Displacement (mm) Time (sec) Behaviour of building without Adjacent Struts Shorter Side Longer Side Corner Column
  • 53. -0.25 -0.2 -0.15 -0.1 -0.05 0 0.05 0.1 0.15 0.2 0.25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Displacement (mm) Time (sec) Behaviour of Shorter side Column With Strut Without adjacent Strut Without Strut
  • 54. -0.3 -0.25 -0.2 -0.15 -0.1 -0.05 0 0.05 0.1 0.15 0.2 0.25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Displacement (mm) Time (sec) Behaviour of Longer Side Column With Strut Without adjacent strut Without Struts
  • 55. -0.006 -0.004 -0.002 0 0.002 0.004 0.006 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Displacememt (mm) Time (sec) Behaviour of Interior Column Without Strut With Strut
  • 56. -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Displacement (mm) Time (sec) Behaviour of Corner Column Without Strut Without adjacent Struts With Struts
  • 57. Conclusion  The effect of the infill masonry wall on progressive collapse on a RC building under four different cases of column loss is evaluated under this study. Compression-strut elements are used to simulate the brick infills.  Linear static analysis gives the DCR value for different column removal cases. DCR values has been found with bare frames and with infill masonry walls. It has been observed that there has been a huge reduction in DCR values of structure with infill masonry walls as compared to bare frame structure.  Nonlinear dynamic analysis shows the displacement of that joint with respect to time just after the removal of the column. As we can see in the presented graphs that the introduction of infills has significantly reduced the displacement of that joint and provides more stable position in lesser time duration. Combined graphs show that the interior column is the most stable column as compared to other three columns.
  • 58.  Nonlinear static analysis has shown the behavior of the building in presence of the infill as resistant towards progressive collapse. The analysis results clearly indicates that on the bare frame without the brick infill has given lesser value of the base force, more load is required in the case where infill is present which helps to resist the building towards progressive collapse. Out of all the column cases it is clear that the loss of corner column may lead to greater damage to the building as it becomes most vulnerable among the four cases.  So by a careful observation of all the three analysis we can say that the infilled frame action showed a significant role in collapse resistance. Neglecting nonstructural masonry walls in progressive collapse analysis may lead to incorrect structural behavior and uneconomic design.