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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 07 | July 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1904
Progressive Collapse Analysis of RC Building
Balaji V. Ramtirthe1, Prof. J. P. Patankar2, Mr. S. V. Jadhav3
1PG Scholar, Applied Mechanics Department, Government College of Engineering, Karad,
Maharashtra-415124, India
2Adjunct Professor, Applied Mechanics Department, Government College of Engineering, Karad,
Maharashtra-415124, India
3Associate, Vastech Consultants and Engineers LLP, Kharadi, Pune, Maharashtra-411014, India
---------------------------------------------------------------------***---------------------------------------------------------------------
Abstract - In this study it is proposed to carry out the
progressive collapse analysis of RC frame building by
removing different column one at a time as per U.S. General
Services Administration (GSA) guidelines. For the study 11
storey moment resistant RC building is considered. Building
consists of 4x4 bay 5m in both direction and designed by the
Indian code as a special moment frame. The building is
modeled and analyzed for progressive collapse analysis
using the structural analysis and design software ETAB
2015. As per GSA guidelines three column removal cases are
studied, namely corner column, exterior column and interior
column removal. For three cases the Demand Capacity Ratio
(DCR) calculated for beams and columns and checked for
the limitation criteria as per GSA. The obtained DCR values
shows that columns are safe and beams not safe for
progressive collapse and need to be reinforced additionally.
Key Words: Progressive collapse, Demand capacity
ratio, ETABS, Column Removal, Pushover Analysis.
1.0 INTRODUCTION
A normal structural design of building consist of designing
structural members for dead load, live load, wind load,
earthquake load etc. and there load combinations as per IS
codes. Due to failure of one structural member load on the
other members very close to it increases, those members
in the closed region are going to fail if an increased load
goes beyond the capacity of member. In this manner
failure will transfer from one member to another which
leads to collapse of whole structure. Such type of failure of
structure is known as progressive collapse.
The design for mitigation of progressive collapse has been
a hot topic in structural engineering due to an increased
knowledge about blast and terrorist dangers.
Many other choices and suggestions have been proposed
by many structural engineers and blast experts and with
continued research more other alternatives are to be
expected in the near future. The challenge exists in making
decisions about the best solutions because of the built- in
uniqueness that are to be met for each project. Also, there
is little to no official design standards or guidelines
available for engineers to follow to assist their decisions.
Instead, the engineer must be competent in blast
resistance and progressive collapse research in order to
have a good understanding of what it takes to build a
strong and healthy structure.
1.1 OBJECTIVES
Following are the objectives of work
 To understand the procedure of progressive
collapse analysis of G+10 RC building in sudden
column removal scenario.
 To check whether the RC building designed and
detailed by Indian Standard codes for seismic
loads provides any resistance to progressive
collapse or not.
 To study the static linear and non linear static
analysis method for RC building.
1.3 Acceptance Criteria
An examination of the linear static analysis will be done to
identify the magnitudes and distribution of potential
demands on primary and secondary structural elements
for quantifying potential collapse areas. The magnitude
and distribution of these demands will be indicated by
Demand Capacity Ratio (DCR). Acceptance criteria for the
primary and secondary structural components shall be
determined as:
D.C.R.=QUD/QCE (1)
where,
QUD = Acting force(demand) determined in the
component or connection/joint (moment, axial force,
shear and possible combined forces).
QCE = Expected ultimate, un-factored capacity of the
component and /or connection or joint (moment, axial
force, shear and possible combined forces).
Using the DCR criteria of linear static approach given in
GSA guidelines, structural elements and connections that
have DCR values that exceed the following allowable
values are considered to be severally damaged or
collapsed.
The allowable DCR values for primary and secondary
structural components are:
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 07 | July 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1905
 DCR<2.0, for typical structural configurations,
 DCR<1.5, for atypical structural configurations.
1.4 Consideration of column removing for progressive
collapse analysis:
To calculate the DCR for the structure according to GSA
guidelines, structure should be analyzed as below:
Exterior column consideration: a) Analyzing the sudden
removal of column C3 in one floor above the ground floor
which is located at or near of the middle of one side of the
building. Corner column consideration: b) Analyzing the
sudden removal of column C1 in one floor above the
ground floor which located at corner side of building.
Interior column consideration: c) Analyzing the sudden
column removal of column C13 in one floor above the
ground floor which located at middle of the building.
2.0 MODELLING OF STRUCTURE
The correct analysis will depend upon the proper
modeling, behavior of the material elements and
connectivity. Therefore, it is important to select the proper
and accurate model to match the purpose of analysis. In
progressive collapse evaluation mathematical modeling of
the structure is based on earthquake loading because it
tests out the actual behavior of the structure.
Fig.-1: Plan of Building
2.1 Properties
Table-1: General details of building
Number of storey G+10
Type of frame SMRF
Seismic zone IV
Importance factor 1.5
Response reduction factor 5
Table-2: Structural members of building
Thickness of beam 150 mm
Beam 300 x 600 mm
Column 500 x 500 mm
Table-3: Material properties of building
Grade of concrete M30
Grade of steel Fe415
Density of concrete 25 Kn/m2
Density of masonry 20 Kn/m2
Table-4: Assumed load intensity
Load Floor Roof
Live Load 3 Kn/m2 2.5 Kn/m2
Floor Finish Load 1.0 Kn/m2 1.5 Kn/m2
2.2 Method of analysis
For the analysis two approaches are used
1. Linear static analysis
2. Non linear static analysis
The column removed at different three positions one at a
time. The locations of column removed are shown in
below figure.
Fig.-2: Corner column removal location
Fig.-3: Exterior column removal location
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 07 | July 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1906
Fig.-4: Interior column removal location
3.0 RESULTS:
3.1 Linear static analysis: The DCR for critical columns
and critical beams are mentioned in the chart.
Case 1: Corner column C1 removal.
Chart-1: DCR of column C2 and C6
Chart-2: DCR of beams B1 and B5 for flexure
Chart-3: DCR of beam B1 and B5 for shear
Case 2: Exterior column removal
Chart-4: DCR of column C2, C4, C8
Chart-5: DCR of beam B2, B3, B7 for flexure
Chart-6: DCR of beam B2, B3, B7 for shear
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 07 | July 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1907
Case 3: Interior column removal case
Chart-7: DCR of column C8, C12, C14, C18
Chart-8: DCR of beam B16, B20, B21, B25 for flexure
Chart-9: DCR of beam B16, B20, B21, B25 for shear
3.2 Non linear static analysis: Non linear static analysis
is widely used to analyze a building for a lateral load
known as pushover analysis. It increases applied loads
step by step until maximum load achieved or maximum
load attained.
The automatic hinges are assigned and building analyzed
for PUSH Gravity and PUSH X loading cases. The base
shear and roof displacement induced at performance point
are summarized in tables for three different column
removal cases.
3.2.1 Base shear and roof displacements results
Case 1: The building is analyzed for lateral loads without
any column removal.
Chart-10: Base shear and roof displacement
Case 2: Corner column removal
Chart-11: Base shear and roof displacement
Case 3: Exterior column removal
Chart-12: Base shear and roof displacement
Case 4: Interior column removal
Chart-13: Base shear and roof displacement
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 07 | July 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1908
3.2.2 Bending moment variation:
After the column removal the bending moments
developed in the beams are too much more than without
column removed building moments. The variation in the
bending moments for critical beams is shown in charts.
Case 1: Corner column removal
Chart-14: Bending Moment variation of beam B1
Chart-15: Bending moment variation of beam B5
Case 2: Exterior column removal
Chart-16: Bending moment variation of beam B2
Chart-17: Bending moment variation of beam B3
Chart-18: Bending moment variation of beam B7
Case 3: Interior column removal
Chart-19: Bending moment variation of beam B16
Chart-20: Bending moment variation of beam B20
Chart-21: Bending moment variation of beam B21
Chart-22: Bending moment variation of beam B25
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 07 | July 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1909
4.0 CONCLUSIONS
In the result, it is extremely important to state at this point
that, although several guidelines and prescribed
procedures for design against progressive collapse are
currently available and they might somehow produce
buildings of acceptable safety still much research is
needed. This is especially the case for improving the
overall structural response of RC building to local failure
to prevent their progressive collapse. It is wrong to say
that such information is not useful in current practice, on
the contrary, a lot of it is. Anyway, now-days, there is an
urgent need to review knowledge on the progressive
collapse phenomenon and speed up the development of
agreement standards that can be used by engineers for
upgrading existing building and designing new building to
completely prevent the progressive collapse of RC building
without any concern about the source. From the results,
some conclusive points will get and that listed below:
 As the shear capacity of beams is high none of the
beam in any column removal case is going to fails
in shear i.e. shear in beams is not critical in
progressive collapse.
 The DCR ratio of columns for all three removal
cases according to linear static analysis results are
less than 2.0 which is within the acceptance limit
as per GSA. I.e. All columns of the building are
strong to resist the progressive collapse.
 The DCR result for flexure in beams indicates the
beams have value of DCR greater than 2.0. The
behaviour of beams in flexure against progressive
collapse is poor.
 The base shear force at the performance point for
the original model is more than column removal
cases. From the base shear forces, we knew that
the exterior column removal case has more base
shear than other cases. The building, in that case,
is strong against progressive collapse.
 The interior column removal of a building is
showing very poor capacity against the
progressive collapse of building.
 Observing the hinge formation in all three column
removal non-linear static analysis cases it has
found that nonlinear hinges not going beyond the
E-State (failure) which means the beams are
strong to resist earthquake forces in column
removal situation also.
REFERENCES
[1] Mrs Mir Sana Fatema, Prof. A. A. Hamane,
“Progressive collapse Analysis of Reinforced
Concrete Building,” IOSE-JMCE, vol.13, issue 6
Ver.III ( Nov.-Dec.2016), PP 44-52
[2] Rakshith K. G., Radhakrishna, “Progressive
collapse analysis of reinforced concrete framed
structure,” IRJET, eISSN: 2319-1163, pISSN: 2321-
7308, Nov.2013.
[3] O. Yagob and K. Galal , N. Naumoski, “Progressive
collapse of reinforced concrete structure,”
Structural engineering and mechanics, vol.32,
No.6 (2019) 771-786
[4] Miss. Preeti K. Morey, Prof. S. R. Satone,
“Progressive collapse analysis of building,” IJERA,
Vol.2, issue 4, June-July 2012, pp.742-745.
[5] Shefna L Sunamy, Binu P, Dr. Girija K, “Progressve
collapse analysis of reinforced concrete frame
building,” IJCIET, Vol.5,Issue 12, Dec.2014,p.p 93-
98.

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IRJET- Progressive Collapse Analysis of RC Building

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 07 | July 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1904 Progressive Collapse Analysis of RC Building Balaji V. Ramtirthe1, Prof. J. P. Patankar2, Mr. S. V. Jadhav3 1PG Scholar, Applied Mechanics Department, Government College of Engineering, Karad, Maharashtra-415124, India 2Adjunct Professor, Applied Mechanics Department, Government College of Engineering, Karad, Maharashtra-415124, India 3Associate, Vastech Consultants and Engineers LLP, Kharadi, Pune, Maharashtra-411014, India ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract - In this study it is proposed to carry out the progressive collapse analysis of RC frame building by removing different column one at a time as per U.S. General Services Administration (GSA) guidelines. For the study 11 storey moment resistant RC building is considered. Building consists of 4x4 bay 5m in both direction and designed by the Indian code as a special moment frame. The building is modeled and analyzed for progressive collapse analysis using the structural analysis and design software ETAB 2015. As per GSA guidelines three column removal cases are studied, namely corner column, exterior column and interior column removal. For three cases the Demand Capacity Ratio (DCR) calculated for beams and columns and checked for the limitation criteria as per GSA. The obtained DCR values shows that columns are safe and beams not safe for progressive collapse and need to be reinforced additionally. Key Words: Progressive collapse, Demand capacity ratio, ETABS, Column Removal, Pushover Analysis. 1.0 INTRODUCTION A normal structural design of building consist of designing structural members for dead load, live load, wind load, earthquake load etc. and there load combinations as per IS codes. Due to failure of one structural member load on the other members very close to it increases, those members in the closed region are going to fail if an increased load goes beyond the capacity of member. In this manner failure will transfer from one member to another which leads to collapse of whole structure. Such type of failure of structure is known as progressive collapse. The design for mitigation of progressive collapse has been a hot topic in structural engineering due to an increased knowledge about blast and terrorist dangers. Many other choices and suggestions have been proposed by many structural engineers and blast experts and with continued research more other alternatives are to be expected in the near future. The challenge exists in making decisions about the best solutions because of the built- in uniqueness that are to be met for each project. Also, there is little to no official design standards or guidelines available for engineers to follow to assist their decisions. Instead, the engineer must be competent in blast resistance and progressive collapse research in order to have a good understanding of what it takes to build a strong and healthy structure. 1.1 OBJECTIVES Following are the objectives of work  To understand the procedure of progressive collapse analysis of G+10 RC building in sudden column removal scenario.  To check whether the RC building designed and detailed by Indian Standard codes for seismic loads provides any resistance to progressive collapse or not.  To study the static linear and non linear static analysis method for RC building. 1.3 Acceptance Criteria An examination of the linear static analysis will be done to identify the magnitudes and distribution of potential demands on primary and secondary structural elements for quantifying potential collapse areas. The magnitude and distribution of these demands will be indicated by Demand Capacity Ratio (DCR). Acceptance criteria for the primary and secondary structural components shall be determined as: D.C.R.=QUD/QCE (1) where, QUD = Acting force(demand) determined in the component or connection/joint (moment, axial force, shear and possible combined forces). QCE = Expected ultimate, un-factored capacity of the component and /or connection or joint (moment, axial force, shear and possible combined forces). Using the DCR criteria of linear static approach given in GSA guidelines, structural elements and connections that have DCR values that exceed the following allowable values are considered to be severally damaged or collapsed. The allowable DCR values for primary and secondary structural components are:
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 07 | July 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1905  DCR<2.0, for typical structural configurations,  DCR<1.5, for atypical structural configurations. 1.4 Consideration of column removing for progressive collapse analysis: To calculate the DCR for the structure according to GSA guidelines, structure should be analyzed as below: Exterior column consideration: a) Analyzing the sudden removal of column C3 in one floor above the ground floor which is located at or near of the middle of one side of the building. Corner column consideration: b) Analyzing the sudden removal of column C1 in one floor above the ground floor which located at corner side of building. Interior column consideration: c) Analyzing the sudden column removal of column C13 in one floor above the ground floor which located at middle of the building. 2.0 MODELLING OF STRUCTURE The correct analysis will depend upon the proper modeling, behavior of the material elements and connectivity. Therefore, it is important to select the proper and accurate model to match the purpose of analysis. In progressive collapse evaluation mathematical modeling of the structure is based on earthquake loading because it tests out the actual behavior of the structure. Fig.-1: Plan of Building 2.1 Properties Table-1: General details of building Number of storey G+10 Type of frame SMRF Seismic zone IV Importance factor 1.5 Response reduction factor 5 Table-2: Structural members of building Thickness of beam 150 mm Beam 300 x 600 mm Column 500 x 500 mm Table-3: Material properties of building Grade of concrete M30 Grade of steel Fe415 Density of concrete 25 Kn/m2 Density of masonry 20 Kn/m2 Table-4: Assumed load intensity Load Floor Roof Live Load 3 Kn/m2 2.5 Kn/m2 Floor Finish Load 1.0 Kn/m2 1.5 Kn/m2 2.2 Method of analysis For the analysis two approaches are used 1. Linear static analysis 2. Non linear static analysis The column removed at different three positions one at a time. The locations of column removed are shown in below figure. Fig.-2: Corner column removal location Fig.-3: Exterior column removal location
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 07 | July 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1906 Fig.-4: Interior column removal location 3.0 RESULTS: 3.1 Linear static analysis: The DCR for critical columns and critical beams are mentioned in the chart. Case 1: Corner column C1 removal. Chart-1: DCR of column C2 and C6 Chart-2: DCR of beams B1 and B5 for flexure Chart-3: DCR of beam B1 and B5 for shear Case 2: Exterior column removal Chart-4: DCR of column C2, C4, C8 Chart-5: DCR of beam B2, B3, B7 for flexure Chart-6: DCR of beam B2, B3, B7 for shear
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 07 | July 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1907 Case 3: Interior column removal case Chart-7: DCR of column C8, C12, C14, C18 Chart-8: DCR of beam B16, B20, B21, B25 for flexure Chart-9: DCR of beam B16, B20, B21, B25 for shear 3.2 Non linear static analysis: Non linear static analysis is widely used to analyze a building for a lateral load known as pushover analysis. It increases applied loads step by step until maximum load achieved or maximum load attained. The automatic hinges are assigned and building analyzed for PUSH Gravity and PUSH X loading cases. The base shear and roof displacement induced at performance point are summarized in tables for three different column removal cases. 3.2.1 Base shear and roof displacements results Case 1: The building is analyzed for lateral loads without any column removal. Chart-10: Base shear and roof displacement Case 2: Corner column removal Chart-11: Base shear and roof displacement Case 3: Exterior column removal Chart-12: Base shear and roof displacement Case 4: Interior column removal Chart-13: Base shear and roof displacement
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 07 | July 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1908 3.2.2 Bending moment variation: After the column removal the bending moments developed in the beams are too much more than without column removed building moments. The variation in the bending moments for critical beams is shown in charts. Case 1: Corner column removal Chart-14: Bending Moment variation of beam B1 Chart-15: Bending moment variation of beam B5 Case 2: Exterior column removal Chart-16: Bending moment variation of beam B2 Chart-17: Bending moment variation of beam B3 Chart-18: Bending moment variation of beam B7 Case 3: Interior column removal Chart-19: Bending moment variation of beam B16 Chart-20: Bending moment variation of beam B20 Chart-21: Bending moment variation of beam B21 Chart-22: Bending moment variation of beam B25
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 07 | July 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1909 4.0 CONCLUSIONS In the result, it is extremely important to state at this point that, although several guidelines and prescribed procedures for design against progressive collapse are currently available and they might somehow produce buildings of acceptable safety still much research is needed. This is especially the case for improving the overall structural response of RC building to local failure to prevent their progressive collapse. It is wrong to say that such information is not useful in current practice, on the contrary, a lot of it is. Anyway, now-days, there is an urgent need to review knowledge on the progressive collapse phenomenon and speed up the development of agreement standards that can be used by engineers for upgrading existing building and designing new building to completely prevent the progressive collapse of RC building without any concern about the source. From the results, some conclusive points will get and that listed below:  As the shear capacity of beams is high none of the beam in any column removal case is going to fails in shear i.e. shear in beams is not critical in progressive collapse.  The DCR ratio of columns for all three removal cases according to linear static analysis results are less than 2.0 which is within the acceptance limit as per GSA. I.e. All columns of the building are strong to resist the progressive collapse.  The DCR result for flexure in beams indicates the beams have value of DCR greater than 2.0. The behaviour of beams in flexure against progressive collapse is poor.  The base shear force at the performance point for the original model is more than column removal cases. From the base shear forces, we knew that the exterior column removal case has more base shear than other cases. The building, in that case, is strong against progressive collapse.  The interior column removal of a building is showing very poor capacity against the progressive collapse of building.  Observing the hinge formation in all three column removal non-linear static analysis cases it has found that nonlinear hinges not going beyond the E-State (failure) which means the beams are strong to resist earthquake forces in column removal situation also. REFERENCES [1] Mrs Mir Sana Fatema, Prof. A. A. Hamane, “Progressive collapse Analysis of Reinforced Concrete Building,” IOSE-JMCE, vol.13, issue 6 Ver.III ( Nov.-Dec.2016), PP 44-52 [2] Rakshith K. G., Radhakrishna, “Progressive collapse analysis of reinforced concrete framed structure,” IRJET, eISSN: 2319-1163, pISSN: 2321- 7308, Nov.2013. [3] O. Yagob and K. Galal , N. Naumoski, “Progressive collapse of reinforced concrete structure,” Structural engineering and mechanics, vol.32, No.6 (2019) 771-786 [4] Miss. Preeti K. Morey, Prof. S. R. Satone, “Progressive collapse analysis of building,” IJERA, Vol.2, issue 4, June-July 2012, pp.742-745. [5] Shefna L Sunamy, Binu P, Dr. Girija K, “Progressve collapse analysis of reinforced concrete frame building,” IJCIET, Vol.5,Issue 12, Dec.2014,p.p 93- 98.