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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2000
Finite Element Analysis of New Circular Lateral Bracing System: A
Parametric Study
Sreekutty S1, Binu P2
1Post Graduate student, Department of Civil Engineering, Sree Narayana
Gurukulam College of Engineering, Ernakulum, Kerala, India
2Associate Professor, Department of Civil Engineering, Sree Narayana
Gurukulam College of Engineering, Ernakulum, Kerala, India
---------------------------------------------------------------------***----------------------------------------------------------------------
Abstract - Constructions are subjected to seismic lateral
forces in seismically active zones besides the primary load of
gravity. During an earthquake, the performance of a
structure depends on the intensity of the seismic load,
structural, geometrical characteristics etc. For good seismic
performance of buildings, the use of an appropriate
structural system is critical. Many engineers have been
using innovative earthquake resistant structural systems in
recent years to provide rigidity and ductility so as to prevent
damage concentrations. Braced frames are one of the most
widely used methods of building a lateral force resistant
system with cost effectiveness and efficiency. The circular
bracing system which is recently developed model is a
braced system with a circular brace attached to the frame.
Studies have shown that the energy dissipation of the new
circular bracing systems is comparatively more efficient in
performance than the frame and bracing models that are
moment resisting. Parametric study of new circular bracing
system is done using Finite Element Analysis software
ANSYS 16.2.
Key Words: (Size 10 & Bold) Key word1, Key word2, Key
word3, etc (Minimum 5 to 8 key words)…
1. INTRODUCTION
Steel structures are clearly a standout amongst the most
widely recognized decisions for private structure
developments in the world. In seismically active zones,
besides carrying the primary gravity load, structures are
subjected to lateral earthquake forces. Steel moment
resistant frames during severe earthquakes are
susceptible to large lateral displacements. Earthquake-
resistant buildings should have at least a minimum lateral
stiffness, so that during small shaking levels they do not
swing too much. The flexibility of moment-resistant steel
frames under strong ground movement can result in large
lateral drift-induced non-structural damage. For good
seismic performance of buildings, the use of an
appropriate structural system is critical. Over the past few
years, a large number of engineers have turned to the use
of novel earthquake-resistant structural schemes to
provide rigidity and ductility. Braced frames are the most
widely used method of building lateral load resistant
system. Braced frames are cost effective structures for
lateral load resistance.
D.C. Rai et al. (2003) [1] conducted an analytical seismic
behavior study of "ordinary" concentrated braced steel
frame structures to withstand upcoming earthquakes.
Development can be attained by converting the brace and
beam into a frail brace and a strong beam system. R.
Tremblay et al. (2003) [6] carried out an investigational
study on the seismic behavior of concentrated steel frames
made of cold shaped rectangular tube-shaped bracing
elements. Simplified models are proposed as a function of
the ductility level to predict the brace out - of - plane
deformation. Seismic reaction analysis of braced frames
making use of buckling-controlled braces was conducted
by R. Sabelliet al. (2003) [5]. F. Ferrario et al. (2016) [2]
carried out studies on circular steel hollow columns made
of high strength steel subject to exceptional loads, such as
earthquakes. Bracing weakening through adequate web
holes seems to be a sufficiently acceptable design solution
to ensure sufficient structural behavior. In order to
improve the behavior of ordinary seismic load resistant
steel buildings, Niloufar Mashhadiali et al. (2018) [4]
suggested a novel braced steel frame called hexagonal -
braced steel frame. Maryam Boostani et al. (2018) [3]
investigated experimentally and analytically the seismic
performance of newly developed circular shaped bracing
systems. The new bracing system's linear and nonlinear
behavior was analyzed and compared to X-shaped bracing
system and moment - resistant frame. From the results,
the energy absorption of the new bracing systems was
more compared to the moment - resistant frame, and
much superior compared to the X-shaped bracing model.
The circular bracing system's behavior with I-shaped
brace was obtained to be better than those with H shaped
brace sections.
Reshaping the buildings to provide more stiffness and
firmness is an important way of thinking in structural
design. The structure and shape of new circular shaped
braces can be used without removing living space in any
part of the construction. The effects of different
parameters on the performance of the new circular
bracing system with I-shaped brace is studied using
ANSYS 16.2 WORKBENCH program. FEM numerical
analysis was conducted in one story models and presented
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2001
in this paper. Objectives of this study was to conduct
parametric study on circular bracing system.
2. NUMERICAL MODELLING AND ANALYSIS OF
CIRCULAR BRACING SYSTEM
Circular bracing system has a circular shaped brace
attached to a steel frame. The beam, column and brace
cross-sections are steel I sections. The length of column
and beam was taken as 3000 mm and 2820 mm. Based on
the brace element shape utilized, the circular bracing
system was named as OGBI. For simplification, Circular
bracing model with I section brace was named as OGBI.
Numerical modeling of circular OGBI base model was done
using ANSYS 16.2 WORKBENCH. Material property for the
model was selected from engineering data section of the
software, where all the available materials are pre-
assigned with default value for various properties as
shown in Table 1. For every parameter investigation, the
circular OGBI base model was kept as a reference model
for comparison.
Table -1: Material Properties of Steel
Density = 7850 kg/m3
Modulus of Elasticity
= 2 x 105 N/mm2
Poisson’s Ratio
= 0.33
For braces and beams, Indian Standard NPB sections
and for columns, WPB standard sections were used as per
IS 12778:2004, which are shown in Fig. 1 and Table 2.
Fig -1: Section details of OGBI base model
Geometry of OGBI base model was sketched in
workbench window. Material properties were assigned to
the model as mentioned in the Table 1. OGBI base model
after modelling, the support condition and loading were
given. All joints in the OGBI model are assumed rigid to
represent the directly welded connection between the
members. The fixed support was given at the bottom of
columns and then loading was given at top. The cyclic
loading program was written with the help of the
displacement obtained after applying monotonic loading.
The cyclic loading program was adopted as per
specifications of ATC 24. The cyclic loading program
adopted has 26 cycles. The loading protocol is given in the
Fig. 2. With help of ANSYS software, the cyclic loading was
given to analyze the behavior of OGBI base model.
Table -2: Section designations of OGBI base model
Section Designation
Beam NPB 180x90x18.8
Brace NPB 120x60x10.37
Column WPB 160x160x42.59
Fig -2: Cyclic loading program for OGBI base model
3. PARAMETER STUDIES ON CIRCULAR OGBI
BRACING MODELS
The parametric studies were conducted on OGBI
bracing models. The key parameters studied include type
of support conditions, type of steel sections of column,
dimensions of steel sections. The influence of each
parameter on the behavior of the circular bracing system
was studied. For every parameter investigation, the OGBI
base model is kept as a reference model for comparison.
3.1. Type of Support Condition
Supports are arguably one of the most important
aspects of a structure, as it specifies how the forces within
the structure are transferred to the ground. This
knowledge is required before solving the model, as it tells
us what the boundary conditions are. Supports are crucial
parts of a structural analysis model. The different types of
supports commonly used are fixed Support, pinned
Support and roller Support. The support condition of OGBI
base model was fixed. The support condition studied was
pinned condition.
After modelling, the uniform meshing was given for the
model. After monotonic loading, the Displacement vs force
curves were obtained. With help of the displacement
obtained, cyclic loading program was written for the
model. Cyclic loading program was adopted as per the
specifications of ATC 24, shown in Fig. 3. The cyclic loading
adopted has 26 cycles.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2002
Fig -3: Cyclic loading program for OGBI model with pinned
support condition
3.2. Shape of Column Steel Section
The column of OGBI base model was of I-shaped steel
section. Hollow steel section for column was studied and
compared with OGBI base model. 300 x 300 x 6.3 mm
(SHS) square steel hollow section was selected for column.
After modelling, the uniform meshing was given for the
model. After monotonic loading, the Displacement vs force
curves were obtained. With help of the displacement
obtained, cyclic loading program was written for the
model. Cyclic loading program was adopted as per the
specifications of ATC 24, shown in Fig. 4. The cyclic
loading adopted has 26 cycles.
Fig -4: Cyclic loading program for OGBI model with hollow
section column
3.3. Cross-sectional Dimensions of Steel Sections
The influence of changing the beam section, column
section and brace section on the cyclic behavior of the
OGBI bracing system and to achieve the maximum
efficiency of the total system including beam, columns, and
brace to extract their effective and useful stiffness ratios
was studied.10 models have been selected through
changing the brace section or the beam section or the
column section. Designations of models were based on the
beam, column and brace types used in models. Sections
include four types of beams, four types of columns, and
four types of braces.
Table -3: Details of OGBI models with different steel
sections
Models Brace
section-A
Beam
section-B
Column
section-C
OGBI-A1-B1-C1 A1 B1 C1
OGBI-A1-B1-C2 A1 B1 C2
OGBI-A1-B1-C3 A1 B1 C3
OGBI-A1-B1-C4 A1 B1 C4
OGBI-A1-B2-C1 A1 B2 C1
OGBI-A1-B3-C1 A1 B3 C1
OGBI-A1-B4-C1 A1 B4 C1
OGBI-A2-B1-C1 A2 B1 C1
OGBI-A3-B1-C1 A3 B1 C1
OGBI-A4-B1-C1 A4 B1 C1
Details of the models were described in Table 3 and
details of the sections are given in Table 4. Indian
Standard NPB sections have been used for braces and
beams and WPB sections for columns. The bracing
systems were modelled using ANSYS program.
Table - 4: Details of steel sections
Brace section-A IS Steel Sections
A1 NPB 120 x 60 x 10.37
A2 NPB 140 x 70 x 12.89
A3 NPB 160 x 80 x 15.77
A4 NPB 180 x 90 x 18.80
B1 WPB 240 x 240 x 83.20
B2 WPB 160 x 160 x 42.59
B3 WPB 160 x 160 x 42.59
B4 WPB 160 x 160 x 42.59
C1 NPB 180 x 90 x 18.8
C2 NPB 180 x 90 x 18.8
C3 NPB 180 x 90 x 18.8
C4 NPB 180 x 90 x 18.8
After modelling, the uniform meshing was given for the
model. After monotonic loading, the Displacement vs force
curves were obtained. With help of the displacement
obtained, cyclic loading program was written for the
model. Cyclic loading program was adopted as per the
specifications of ATC 24, shown in Fig. 5. The cyclic loading
adopted has 26 cycles.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2003
Fig -5: Cyclic loading program for OGBI models with
different steel sections
4. RESULTS AND DISCUSSIONS
Static analysis of circular bracing systems with cyclic
loading was done using ANSYS 16.2 WORKBENCH. In
static analysis, the hysteresis responses and energy
absorption capacities of circular bracing systems were
obtained. The effect of parameters such as support
condition, steel section of column and cross-sectional
dimensions on performance of circular bracing systems
were studied.
4.1. Hysteresis Response of Circular OGBI Base
Model
From the ANSYS 16.2 WORKBENCH, hysteresis curve
for OGBI base model was obtained. The chart 1 shows the
hysteresis curve of OGBI base model obtained after static
structural analysis of the model. The obtained curve was a
smooth loop. The area enclosed by loop gives the energy
absorption capacity of the model.
-300
-200
-100
0
100
200
300
-100 -50 0 50 100
Force(kN)
Displacement (mm)
Chart -1: Hysteresis curve obtained for OGBI base model
4.2. Energy Absorption of Circular OGBI Base
Model
The energy dissipation was illustrated by the hysteretic
area obtained from the analysis, which was measured by
the load displacement diagram as the enclosed area. OGBI
model have dissipated a sufficient amount of energy. OGBI
model have energy dissipation value of 36.70 kJ.
4.3. Effect of Type of Support Condition
The hysteresis curve was obtained for OGBI model with
pinned support condition after the static analysis. Chart 2
shows comparison of hysteresis curves of OGBI model
with fixed support and pinned support condition.
-300
-200
-100
0
100
200
300
-100 -50 0 50 100
Force(kN)
Displacement (mm)
pinned fixed
Chart -2: Comparison of hysteresis curve of OGBI models
with fixed and pinned support condition
From the chart, it was clear that model with fixed
support have a wider loop than the model with pinned
support condition. It can be inferred that the model with
fixed support condition have more energy absorption
capacity compared to model with pinned support
condition.
The area under the hysteresis curve gives the energy
absorption. From the results, we can infer that the energy
absorption of OGBI model decreased by changing fixed
support condition to pinned support condition. Energy
absorption value of OGBI model with pinned support was
15.303 kJ, which was 58.3% less than OGBI model with
fixed support condition.
The stiffness of OGBI bracing systems was calculated
from hysteresis curves using the stiffness formula,
Stiffness = (F max – F min)/ (d max – d min)
The stiffness of OGBI bracing model with fixed support
was about 2.61 kN/mm, whereas the stiffness value of
OGBI model with pinned support was obtained to be 1.36
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2004
kN/mm which is 47.89% less than the model with fixed
support condition.
3.4. Effect of Type of Steel Sections of Column
Hollow steel section for column was studied and
compared with OGBI base model. Load vs displacement
hysteresis response of OGBI model with hollow steel
column was obtained from ANSYS. Chart 3 shows the
comparison of hysteresis curves of OGBI model with I
section and hollow section columns.
Chart -3: Comparison of hysteresis curve of OGBI models
with I section and hollow section columns
The area under the hysteresis curve gives the energy
absorption. From the results, we can infer that the energy
absorption of OGBI model with I-section column was more
than the model with hollow section column. Energy
absorption value of OGBI model with hollow section
column was 32.782 kJ, which was 10.68% less than OGBI
model with I-section column.
The stiffness of OGBI bracing systems with different
column sections are calculated from hysteresis curves
using the stiffness formula,
Stiffness = (F max – F min)/ (d max – d min)
The stiffness of OGBI model with I-section column is
2.61 kN/mm. The stiffness of OGBI model with hollow
section column was 4.08 kN/mm, which was 36.02% more
than OGBI model with I-section column.
3.5. Effect of Cross-sectional Dimensions of Steel
Sections
Chart 4, chart 5 and chart 6 shows the comparison of
hysteretic curves of OGBI models with changes in brace
section, beam section and column section respectively.
From the chart, it was clear that hysteresis loops become
wider with increase in cross-sectional size of the brace
member. But with increase in the cross-sectional size of
beam members, there was only a slight increase in the
area of the hysteresis loop of the models. The hysteresis
loops also become wider with increase in cross-sectional
size of the column member.
Chart -4: Comparison of hysteresis curve of OGBI models
with brace section increase
-200
-100
0
100
200
-100 -50 0 50 100
Force(kN)
Displacement(mm)
BM OGBI-A1-B2-C1
OGBI-A1-B3-C1 OGBI-A1-B4-C1
Chart -5: Comparison of hysteresis curve of OGBI models
with beam section increase
Chart -6: Comparison of hysteresis curve of OGBI models
with column section increase
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2005
The area under the hysteresis curve gives the energy
absorption. Chart 7 shows the comparison of energy
absorption values of OGBI values with changes in section
dimensions.
Chart -7: Comparison of energy absorption values of OGBI
with different section dimensions
We can infer that the energy absorption of OGBI
model increases by increasing the member section
dimension. Energy absorption values of the models was
given in Table 5.
The stiffness of OGBI with different section
dimensions were calculated from hysteresis curves using
the stiffness formula,
Stiffness = (F max – F min)/ (d max – d min)
The stiffness values of the models are given in Chart 8
and Table 6. It is observed that stiffness values of the
models increase with increase in section dimensions.
Table - 5: Energy absorption values of OGBI with different
section dimensions
Models Energy absorption Values (kJ)
OGBI-A1-B1-C1 36.70
OGBI-A1-B1-C2 44.78
OGBI-A1-B1-C3 54.00
OGBI-A1-B1-C4 79.01
OGBI-A1-B2-C1 39.40
OGBI-A1-B3-C1 41.51
OGBI-A1-B4-C1 44.10
OGBI-A2-B1-C1 48.47
OGBI-A3-B1-C1 59.20
OGBI-A4-B1-C1 69.37
Chart -7: Comparison of stiffness values of OGBI with
different section dimensions
Table - 6: Stiffness values of OGBI with different section
dimensions
Models Stiffness (kN/mm)
OGBI-A1-B1-C1 2.61
OGBI-A1-B1-C2 3.08
OGBI-A1-B1-C3 3.59
OGBI-A1-B1-C4 4.13
OGBI-A1-B2-C1 2.70
OGBI-A1-B3-C1 2.78
OGBI-A1-B4-C1 2.89
OGBI-A2-B1-C1 3.09
OGBI-A3-B1-C1 3.65
OGBI-A4-B1-C1 5.08
5. CONCLUSIONS
The strength behavior of circular bracing systems
under cyclic loading was studied using numerical analysis.
The influence of parameters on circular bracing systems
were also studied. The following are the conclusions
derived from the studies conducted:
 Energy Absorption and stiffness of circular bracing
model with fixed support was more when compared
with pinned support.
 Stiffness of circular bracing model increases when
hollow section was used for column.
 Circular bracing models shows improved results in
energy absorption and stiffness with increase in cross
section of the members.
It can be concluded that the performance of circular
bracing models is very effective under cyclic loading.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2006
REFERENCES
[1] D.C. Rai a, S.C. Goel. “Seismic evaluation and upgrading
of chevron braced frames” Journal of Constructional
Steel Research, 2003, 59: 971–994
[2] F. Ferrario, F. Iori, R. Pucinotti, R. Zandonini. “Seismic
performance assessment of concentrically braced
steel frame buildings with high strength tubular steel
columns” Journal of Constructional Steel Research
2016, pp.121: 427–440,
[3] Maryam Boostani, Omid Rezaifar, Majid Gholhaki.
“Introduction and seismic performance investigation
of the proposed lateral bracing system called OGrid”
archives of civil and mechanical engineering, 2018,
pp.1024-1041
[4] Niloufar Mashhadiali, Ali Kheyroddin. “Seismic
performance of concentrically braced frame with
hexagonal pattern of braces to mitigate soft story
behavior” Engineering Structures, 2018, pp.175: 27–
40
[5] R. Sabelli, S. Mahin b, C. Chang. “Seismic demands on
steel braced frame buildings with buckling restrained
braces” Engineering Structures, 2003, pp.25: 655–666,
[6] R. Tremblay; M.-H. Archambault; and A. Filiatrault.
“Seismic Response of Concentrically Braced Steel
Frames Made with Rectangular Hollow Bracing
Members” Journal of Structural Engineering, ASCE,
2003, pp.129:1626- 1636
[7] ATC 24 – Guidelines for Cyclic Seismic Testing of
Components of Steel Structures.
[8] IS 12778 (2004) _ Hot Rolled Parallel Flange Steel
Sections for Beams, Columns and Bearing Piles -
Dimensions and Section Properties

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IRJET- Finite Element Analysis of New Circular Lateral Bracing System: A Parametric Study

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2000 Finite Element Analysis of New Circular Lateral Bracing System: A Parametric Study Sreekutty S1, Binu P2 1Post Graduate student, Department of Civil Engineering, Sree Narayana Gurukulam College of Engineering, Ernakulum, Kerala, India 2Associate Professor, Department of Civil Engineering, Sree Narayana Gurukulam College of Engineering, Ernakulum, Kerala, India ---------------------------------------------------------------------***---------------------------------------------------------------------- Abstract - Constructions are subjected to seismic lateral forces in seismically active zones besides the primary load of gravity. During an earthquake, the performance of a structure depends on the intensity of the seismic load, structural, geometrical characteristics etc. For good seismic performance of buildings, the use of an appropriate structural system is critical. Many engineers have been using innovative earthquake resistant structural systems in recent years to provide rigidity and ductility so as to prevent damage concentrations. Braced frames are one of the most widely used methods of building a lateral force resistant system with cost effectiveness and efficiency. The circular bracing system which is recently developed model is a braced system with a circular brace attached to the frame. Studies have shown that the energy dissipation of the new circular bracing systems is comparatively more efficient in performance than the frame and bracing models that are moment resisting. Parametric study of new circular bracing system is done using Finite Element Analysis software ANSYS 16.2. Key Words: (Size 10 & Bold) Key word1, Key word2, Key word3, etc (Minimum 5 to 8 key words)… 1. INTRODUCTION Steel structures are clearly a standout amongst the most widely recognized decisions for private structure developments in the world. In seismically active zones, besides carrying the primary gravity load, structures are subjected to lateral earthquake forces. Steel moment resistant frames during severe earthquakes are susceptible to large lateral displacements. Earthquake- resistant buildings should have at least a minimum lateral stiffness, so that during small shaking levels they do not swing too much. The flexibility of moment-resistant steel frames under strong ground movement can result in large lateral drift-induced non-structural damage. For good seismic performance of buildings, the use of an appropriate structural system is critical. Over the past few years, a large number of engineers have turned to the use of novel earthquake-resistant structural schemes to provide rigidity and ductility. Braced frames are the most widely used method of building lateral load resistant system. Braced frames are cost effective structures for lateral load resistance. D.C. Rai et al. (2003) [1] conducted an analytical seismic behavior study of "ordinary" concentrated braced steel frame structures to withstand upcoming earthquakes. Development can be attained by converting the brace and beam into a frail brace and a strong beam system. R. Tremblay et al. (2003) [6] carried out an investigational study on the seismic behavior of concentrated steel frames made of cold shaped rectangular tube-shaped bracing elements. Simplified models are proposed as a function of the ductility level to predict the brace out - of - plane deformation. Seismic reaction analysis of braced frames making use of buckling-controlled braces was conducted by R. Sabelliet al. (2003) [5]. F. Ferrario et al. (2016) [2] carried out studies on circular steel hollow columns made of high strength steel subject to exceptional loads, such as earthquakes. Bracing weakening through adequate web holes seems to be a sufficiently acceptable design solution to ensure sufficient structural behavior. In order to improve the behavior of ordinary seismic load resistant steel buildings, Niloufar Mashhadiali et al. (2018) [4] suggested a novel braced steel frame called hexagonal - braced steel frame. Maryam Boostani et al. (2018) [3] investigated experimentally and analytically the seismic performance of newly developed circular shaped bracing systems. The new bracing system's linear and nonlinear behavior was analyzed and compared to X-shaped bracing system and moment - resistant frame. From the results, the energy absorption of the new bracing systems was more compared to the moment - resistant frame, and much superior compared to the X-shaped bracing model. The circular bracing system's behavior with I-shaped brace was obtained to be better than those with H shaped brace sections. Reshaping the buildings to provide more stiffness and firmness is an important way of thinking in structural design. The structure and shape of new circular shaped braces can be used without removing living space in any part of the construction. The effects of different parameters on the performance of the new circular bracing system with I-shaped brace is studied using ANSYS 16.2 WORKBENCH program. FEM numerical analysis was conducted in one story models and presented
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2001 in this paper. Objectives of this study was to conduct parametric study on circular bracing system. 2. NUMERICAL MODELLING AND ANALYSIS OF CIRCULAR BRACING SYSTEM Circular bracing system has a circular shaped brace attached to a steel frame. The beam, column and brace cross-sections are steel I sections. The length of column and beam was taken as 3000 mm and 2820 mm. Based on the brace element shape utilized, the circular bracing system was named as OGBI. For simplification, Circular bracing model with I section brace was named as OGBI. Numerical modeling of circular OGBI base model was done using ANSYS 16.2 WORKBENCH. Material property for the model was selected from engineering data section of the software, where all the available materials are pre- assigned with default value for various properties as shown in Table 1. For every parameter investigation, the circular OGBI base model was kept as a reference model for comparison. Table -1: Material Properties of Steel Density = 7850 kg/m3 Modulus of Elasticity = 2 x 105 N/mm2 Poisson’s Ratio = 0.33 For braces and beams, Indian Standard NPB sections and for columns, WPB standard sections were used as per IS 12778:2004, which are shown in Fig. 1 and Table 2. Fig -1: Section details of OGBI base model Geometry of OGBI base model was sketched in workbench window. Material properties were assigned to the model as mentioned in the Table 1. OGBI base model after modelling, the support condition and loading were given. All joints in the OGBI model are assumed rigid to represent the directly welded connection between the members. The fixed support was given at the bottom of columns and then loading was given at top. The cyclic loading program was written with the help of the displacement obtained after applying monotonic loading. The cyclic loading program was adopted as per specifications of ATC 24. The cyclic loading program adopted has 26 cycles. The loading protocol is given in the Fig. 2. With help of ANSYS software, the cyclic loading was given to analyze the behavior of OGBI base model. Table -2: Section designations of OGBI base model Section Designation Beam NPB 180x90x18.8 Brace NPB 120x60x10.37 Column WPB 160x160x42.59 Fig -2: Cyclic loading program for OGBI base model 3. PARAMETER STUDIES ON CIRCULAR OGBI BRACING MODELS The parametric studies were conducted on OGBI bracing models. The key parameters studied include type of support conditions, type of steel sections of column, dimensions of steel sections. The influence of each parameter on the behavior of the circular bracing system was studied. For every parameter investigation, the OGBI base model is kept as a reference model for comparison. 3.1. Type of Support Condition Supports are arguably one of the most important aspects of a structure, as it specifies how the forces within the structure are transferred to the ground. This knowledge is required before solving the model, as it tells us what the boundary conditions are. Supports are crucial parts of a structural analysis model. The different types of supports commonly used are fixed Support, pinned Support and roller Support. The support condition of OGBI base model was fixed. The support condition studied was pinned condition. After modelling, the uniform meshing was given for the model. After monotonic loading, the Displacement vs force curves were obtained. With help of the displacement obtained, cyclic loading program was written for the model. Cyclic loading program was adopted as per the specifications of ATC 24, shown in Fig. 3. The cyclic loading adopted has 26 cycles.
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2002 Fig -3: Cyclic loading program for OGBI model with pinned support condition 3.2. Shape of Column Steel Section The column of OGBI base model was of I-shaped steel section. Hollow steel section for column was studied and compared with OGBI base model. 300 x 300 x 6.3 mm (SHS) square steel hollow section was selected for column. After modelling, the uniform meshing was given for the model. After monotonic loading, the Displacement vs force curves were obtained. With help of the displacement obtained, cyclic loading program was written for the model. Cyclic loading program was adopted as per the specifications of ATC 24, shown in Fig. 4. The cyclic loading adopted has 26 cycles. Fig -4: Cyclic loading program for OGBI model with hollow section column 3.3. Cross-sectional Dimensions of Steel Sections The influence of changing the beam section, column section and brace section on the cyclic behavior of the OGBI bracing system and to achieve the maximum efficiency of the total system including beam, columns, and brace to extract their effective and useful stiffness ratios was studied.10 models have been selected through changing the brace section or the beam section or the column section. Designations of models were based on the beam, column and brace types used in models. Sections include four types of beams, four types of columns, and four types of braces. Table -3: Details of OGBI models with different steel sections Models Brace section-A Beam section-B Column section-C OGBI-A1-B1-C1 A1 B1 C1 OGBI-A1-B1-C2 A1 B1 C2 OGBI-A1-B1-C3 A1 B1 C3 OGBI-A1-B1-C4 A1 B1 C4 OGBI-A1-B2-C1 A1 B2 C1 OGBI-A1-B3-C1 A1 B3 C1 OGBI-A1-B4-C1 A1 B4 C1 OGBI-A2-B1-C1 A2 B1 C1 OGBI-A3-B1-C1 A3 B1 C1 OGBI-A4-B1-C1 A4 B1 C1 Details of the models were described in Table 3 and details of the sections are given in Table 4. Indian Standard NPB sections have been used for braces and beams and WPB sections for columns. The bracing systems were modelled using ANSYS program. Table - 4: Details of steel sections Brace section-A IS Steel Sections A1 NPB 120 x 60 x 10.37 A2 NPB 140 x 70 x 12.89 A3 NPB 160 x 80 x 15.77 A4 NPB 180 x 90 x 18.80 B1 WPB 240 x 240 x 83.20 B2 WPB 160 x 160 x 42.59 B3 WPB 160 x 160 x 42.59 B4 WPB 160 x 160 x 42.59 C1 NPB 180 x 90 x 18.8 C2 NPB 180 x 90 x 18.8 C3 NPB 180 x 90 x 18.8 C4 NPB 180 x 90 x 18.8 After modelling, the uniform meshing was given for the model. After monotonic loading, the Displacement vs force curves were obtained. With help of the displacement obtained, cyclic loading program was written for the model. Cyclic loading program was adopted as per the specifications of ATC 24, shown in Fig. 5. The cyclic loading adopted has 26 cycles.
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2003 Fig -5: Cyclic loading program for OGBI models with different steel sections 4. RESULTS AND DISCUSSIONS Static analysis of circular bracing systems with cyclic loading was done using ANSYS 16.2 WORKBENCH. In static analysis, the hysteresis responses and energy absorption capacities of circular bracing systems were obtained. The effect of parameters such as support condition, steel section of column and cross-sectional dimensions on performance of circular bracing systems were studied. 4.1. Hysteresis Response of Circular OGBI Base Model From the ANSYS 16.2 WORKBENCH, hysteresis curve for OGBI base model was obtained. The chart 1 shows the hysteresis curve of OGBI base model obtained after static structural analysis of the model. The obtained curve was a smooth loop. The area enclosed by loop gives the energy absorption capacity of the model. -300 -200 -100 0 100 200 300 -100 -50 0 50 100 Force(kN) Displacement (mm) Chart -1: Hysteresis curve obtained for OGBI base model 4.2. Energy Absorption of Circular OGBI Base Model The energy dissipation was illustrated by the hysteretic area obtained from the analysis, which was measured by the load displacement diagram as the enclosed area. OGBI model have dissipated a sufficient amount of energy. OGBI model have energy dissipation value of 36.70 kJ. 4.3. Effect of Type of Support Condition The hysteresis curve was obtained for OGBI model with pinned support condition after the static analysis. Chart 2 shows comparison of hysteresis curves of OGBI model with fixed support and pinned support condition. -300 -200 -100 0 100 200 300 -100 -50 0 50 100 Force(kN) Displacement (mm) pinned fixed Chart -2: Comparison of hysteresis curve of OGBI models with fixed and pinned support condition From the chart, it was clear that model with fixed support have a wider loop than the model with pinned support condition. It can be inferred that the model with fixed support condition have more energy absorption capacity compared to model with pinned support condition. The area under the hysteresis curve gives the energy absorption. From the results, we can infer that the energy absorption of OGBI model decreased by changing fixed support condition to pinned support condition. Energy absorption value of OGBI model with pinned support was 15.303 kJ, which was 58.3% less than OGBI model with fixed support condition. The stiffness of OGBI bracing systems was calculated from hysteresis curves using the stiffness formula, Stiffness = (F max – F min)/ (d max – d min) The stiffness of OGBI bracing model with fixed support was about 2.61 kN/mm, whereas the stiffness value of OGBI model with pinned support was obtained to be 1.36
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2004 kN/mm which is 47.89% less than the model with fixed support condition. 3.4. Effect of Type of Steel Sections of Column Hollow steel section for column was studied and compared with OGBI base model. Load vs displacement hysteresis response of OGBI model with hollow steel column was obtained from ANSYS. Chart 3 shows the comparison of hysteresis curves of OGBI model with I section and hollow section columns. Chart -3: Comparison of hysteresis curve of OGBI models with I section and hollow section columns The area under the hysteresis curve gives the energy absorption. From the results, we can infer that the energy absorption of OGBI model with I-section column was more than the model with hollow section column. Energy absorption value of OGBI model with hollow section column was 32.782 kJ, which was 10.68% less than OGBI model with I-section column. The stiffness of OGBI bracing systems with different column sections are calculated from hysteresis curves using the stiffness formula, Stiffness = (F max – F min)/ (d max – d min) The stiffness of OGBI model with I-section column is 2.61 kN/mm. The stiffness of OGBI model with hollow section column was 4.08 kN/mm, which was 36.02% more than OGBI model with I-section column. 3.5. Effect of Cross-sectional Dimensions of Steel Sections Chart 4, chart 5 and chart 6 shows the comparison of hysteretic curves of OGBI models with changes in brace section, beam section and column section respectively. From the chart, it was clear that hysteresis loops become wider with increase in cross-sectional size of the brace member. But with increase in the cross-sectional size of beam members, there was only a slight increase in the area of the hysteresis loop of the models. The hysteresis loops also become wider with increase in cross-sectional size of the column member. Chart -4: Comparison of hysteresis curve of OGBI models with brace section increase -200 -100 0 100 200 -100 -50 0 50 100 Force(kN) Displacement(mm) BM OGBI-A1-B2-C1 OGBI-A1-B3-C1 OGBI-A1-B4-C1 Chart -5: Comparison of hysteresis curve of OGBI models with beam section increase Chart -6: Comparison of hysteresis curve of OGBI models with column section increase
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2005 The area under the hysteresis curve gives the energy absorption. Chart 7 shows the comparison of energy absorption values of OGBI values with changes in section dimensions. Chart -7: Comparison of energy absorption values of OGBI with different section dimensions We can infer that the energy absorption of OGBI model increases by increasing the member section dimension. Energy absorption values of the models was given in Table 5. The stiffness of OGBI with different section dimensions were calculated from hysteresis curves using the stiffness formula, Stiffness = (F max – F min)/ (d max – d min) The stiffness values of the models are given in Chart 8 and Table 6. It is observed that stiffness values of the models increase with increase in section dimensions. Table - 5: Energy absorption values of OGBI with different section dimensions Models Energy absorption Values (kJ) OGBI-A1-B1-C1 36.70 OGBI-A1-B1-C2 44.78 OGBI-A1-B1-C3 54.00 OGBI-A1-B1-C4 79.01 OGBI-A1-B2-C1 39.40 OGBI-A1-B3-C1 41.51 OGBI-A1-B4-C1 44.10 OGBI-A2-B1-C1 48.47 OGBI-A3-B1-C1 59.20 OGBI-A4-B1-C1 69.37 Chart -7: Comparison of stiffness values of OGBI with different section dimensions Table - 6: Stiffness values of OGBI with different section dimensions Models Stiffness (kN/mm) OGBI-A1-B1-C1 2.61 OGBI-A1-B1-C2 3.08 OGBI-A1-B1-C3 3.59 OGBI-A1-B1-C4 4.13 OGBI-A1-B2-C1 2.70 OGBI-A1-B3-C1 2.78 OGBI-A1-B4-C1 2.89 OGBI-A2-B1-C1 3.09 OGBI-A3-B1-C1 3.65 OGBI-A4-B1-C1 5.08 5. CONCLUSIONS The strength behavior of circular bracing systems under cyclic loading was studied using numerical analysis. The influence of parameters on circular bracing systems were also studied. The following are the conclusions derived from the studies conducted:  Energy Absorption and stiffness of circular bracing model with fixed support was more when compared with pinned support.  Stiffness of circular bracing model increases when hollow section was used for column.  Circular bracing models shows improved results in energy absorption and stiffness with increase in cross section of the members. It can be concluded that the performance of circular bracing models is very effective under cyclic loading.
  • 7. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2006 REFERENCES [1] D.C. Rai a, S.C. Goel. “Seismic evaluation and upgrading of chevron braced frames” Journal of Constructional Steel Research, 2003, 59: 971–994 [2] F. Ferrario, F. Iori, R. Pucinotti, R. Zandonini. “Seismic performance assessment of concentrically braced steel frame buildings with high strength tubular steel columns” Journal of Constructional Steel Research 2016, pp.121: 427–440, [3] Maryam Boostani, Omid Rezaifar, Majid Gholhaki. “Introduction and seismic performance investigation of the proposed lateral bracing system called OGrid” archives of civil and mechanical engineering, 2018, pp.1024-1041 [4] Niloufar Mashhadiali, Ali Kheyroddin. “Seismic performance of concentrically braced frame with hexagonal pattern of braces to mitigate soft story behavior” Engineering Structures, 2018, pp.175: 27– 40 [5] R. Sabelli, S. Mahin b, C. Chang. “Seismic demands on steel braced frame buildings with buckling restrained braces” Engineering Structures, 2003, pp.25: 655–666, [6] R. Tremblay; M.-H. Archambault; and A. Filiatrault. “Seismic Response of Concentrically Braced Steel Frames Made with Rectangular Hollow Bracing Members” Journal of Structural Engineering, ASCE, 2003, pp.129:1626- 1636 [7] ATC 24 – Guidelines for Cyclic Seismic Testing of Components of Steel Structures. [8] IS 12778 (2004) _ Hot Rolled Parallel Flange Steel Sections for Beams, Columns and Bearing Piles - Dimensions and Section Properties