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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 08 | Aug 2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 571
Effects of different reinforcement schemes and column shapes on the
response of reinforced concrete columns subjected to blast loading
Mr. N. P. Patil1, Prof. V. G. Khurd2
1Student, Dept. of Civil Engineering, Sanjay Ghodawat Group of Institutions, Atigre, Shivaji University, Kolhapur,
India
2Assistant Professor, Dept. of Civil Engineering, Sanjay Ghodawat Group of Institutions, Atigre, Shivaji University,
Kolhapur, India
---------------------------------------------------------------------***---------------------------------------------------------------------
Abstract – Concerns have risen for response of building
structure when subjected to blast loading as it involves loss of
lives and response of buildings which are mostlydesignedwith
conventional approach without considering the effect of
sudden dynamic loading on the structure. Failure of the load-
bearing member in an building structure can lead to the
catastrophic damage to the structure including widespread
buildings failure. Hence, it is necessary to study the effect of
blast loading on the behaviour of reinforced concrete column
as column is the most important structural element of the
building while reinforced concrete is the most desirable
material due to its availability. Reinforcedconcretecolumnsin
this study were detailed according IS 456:2000 and IS
13920:2016 Indian Standard Codes. Using a high-fidelity
physics-based finite element code, LS-DYNA, anumericalstudy
was undertaken to investigate the effects of different
reinforcement schemes and column shapes on the blast
resistance of RC columns. The study shows that the transverse
reinforcement spacing and axial loading significantly affects
the behavior of RC columns when subjected to blast loading.
The results from this study also revealed that circular shaped
columns displayed prominently higher blast resistance when
compared to square shaped columns. The different
longitudinal arrangement schemes showed significant
variation in response of RC columns when subjected to blast
loading at low scaled distances.
Key Words: Blast, Column shapes, Explosion, Finiteelement
analysis, Longitudinal reinforcement, LS-DYNA, Reinforced
concrete column, Scaled distance, Transversereinforcement.
1. INTRODUCTION
An explosion within or nearby a building can cause
significant damage to the built structure. Blast canbecaused
under various scenarios like terrorist bombing including
vehicle-borne bomb, blast due to high pressure, quarry-
blasting, explosion due to negligence at industries dealing
with explosive chemicalsand many more.Theincreaseinthe
number of terrorist attacksover the pastfewdecadeshasled
to growing concerns about the performance of buildings
designed for aestheticsand economywhensubjectedtoblast
loading. The United States Federal Emergency Management
Agency (FEMA) [3] reports that approximately one in every
two terrorist attacks involves the use of explosives.
Therefore, terrorist attacks around the world have revealed
the blast load vulnerability of buildings designed and
constructed without due consideration to blast loading.
Reinforced concrete has been shown to be a desirable
material of choice in blast resistant structures due to its
availability, relatively low cost, and its inherent ability to
absorb energy produced by explosions. Understanding the
behaviour of components of a structure in a blast event is
therefore critical in increasing the survivability of the
structure. The Oklahoma City bombing had drawn the
attention of researchersto the importance of understanding
blast resistance of reinforced concrete columns. Since it was
shown that, in such catastrophic events, first floor columns
can fail and lead to progressive collapse of the building.
The lack of experimental research into the blastresistanceof
building components stems from lack of access to test sites,
the high cost of transportation of specimens to the site,
rental of heavy equipment to setup experimental tests, and
hazardsassociated with explosion testing. Theseconstraints
limit the number of tests that can be performed and the
number of parameters that can be investigated in each test
program. With recent developments in computer software
and hardware technology, numerical modelling techniques
present a viable and cost effective alternative to explosive
field testing. Numerical modelling offers researchers the
ability to conduct an extensive investigation of many design
parameters at a significantly lower cost. By understanding
the use of finite element packages, more efficient and better
analyses can be made to fully understand the response of
individual structural componentsand their contributiontoa
structure as a whole subjected to various loads. Hence, this
study is carried out to understand the effect of blast loading
on a certain structural element i.e. reinforced concrete
column designed according to the specifications mentioned
in Indian IS codes.
2. OBJECTIVES
The objectives of the research work reported in this paper
were, primarily:
To study the effect of varying transverse reinforcement
spacing (seismic detailing) on the blast resistance of RC
columns.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 08 | Aug 2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 572
 To study the effect of axial load on the blast
resistance of RC columns.
 To study the effect of column shapes on the blast
resistance of RC columns.
 To study the effect of longitudinal reinforcement
arrangement on the blast resistance of RC columns.
3. LITERATURE REVIEW
It is very difficult to experimentally study the effect of
extreme loads including blast loads on structures, the
evaluation ofthedamage caused by blastloadsonastructure
is also very difficult to conduct. The behaviour of existing RC
structure is unknown when subjected to extreme loads as
they are not designed to resist the same. Hence, it is
important to find waysto evaluate and predict the behaviour
of the RC structures to blast loads. Use of FEA software to
evaluate the damages caused by blast loads is widely used
these days, this is because the availability of large material
library, ease of accessing them and changing parameters,the
ability to simulate problems that are very difficult to carry
out experimentally, the costless efforts compared to
experiments, and the safety of using FEA software.
3.1 Explosions and blast-loading types
An explosion can be defined as a very fast chemical reaction
involving a solid, dust or gas, during which a rapid release of
hot gases and energy takesplace[5].Non-contact,unconfined
explosions, external to a structure are considered in this
study which are of three types mentioned as follows:
(a.) Free-air blast
(b.) Air blast
(c.) Surface blast
3.2 Scaling laws
The effect ofdistance onthe blast characteristicscanbetaken
into account by the introduction of scaling laws. These laws
have the ability to scale parameters, which were defined
through experiments, in order to be used for varying values
of distance and charge energy release. The experimental
results are, in this way, generalized to include cases that are
different from the initial experimental setup. The most
common blast scaling laws are the ones introduced by
Hopkinson-Cranz and Sachs. The idea behind both
formulations is that during the detonation of two charges of
the same explosive that have similar geometry but different
weight and are situated at the same scaled distance from a
target surface, similar blast waves are produced at the point
of interest as long as they are under the same atmospheric
conditions. According to Hopkinson-Cranzlaw,adimensional
scaled distance is introduced as described by Equation (1),
Z = R/W1/3 (1)
where, R is the distance from the detonation source to the
pointof interest[m] and W is the weight (more precisely:the
mass) of the explosive [kg].
3.3 Blast wave reflection
The interaction between anobject and ablastwavegenerates
a pressure pattern which is different than the idealized time
history presented in Figure-1. As the blast wave travels
through space, decreasing in speed and peak pressure value,
it encircles every object/structure that lies within its range.
The load that has to be withstood by a structure depends on
various parameters, such as the type and weight of the
explosive charge, the distance of the detonation point, the
structure’s geometry and type, the interaction of the wave
with the environment and the ground, etc. When the blast
wave comes to contact with a rigid surface the pressure that
is reflected is larger than the incident peak pressure Pso. The
reason for this rise is attributed to the nature of the
propagationof the blastwave throughtheair.Whilethewave
travels, it moves along air particles that collide with the
surface upon arrival. In an ideal linear-elastic case the
particles should be able to bounce back freely leading to a
reflected pressure equal to the incident pressure, and thus
the surface would experience a doubling of the acting
pressure. In a strong blast wave, which as a shock wave is a
non-linear phenomenon, the reflection of these particles is
obstructed by subsequent air particles that are transferred
there, thusleading to muchhigher reflected pressure values.
In this case the surface would experience an acting pressure
much higher than the incident one.
Figure-1 : Incident, reflected and dynamic pressure time
histories.
Clearly it is this reflected pressure to be used for design.
Figure-1 shows the difference between the incident and the
reflected pressure in an infinite surface. As just noted, the
reflected pressure can be several times larger than the
incident pressure, depending on the geometry of the
structure, the type, size, weight and distance of the explosive
as well as the interference of other obstacles between the
detonation point and the structure. Figure-1 also depicts a
typical dynamic pressure time history.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 08 | Aug 2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 573
3.4 Review of previous literature
El-Dakhakhni et al. [4] developed a nonlinear model to study
the responseof blast-loadedreinforcedconcreteRCcolumns.
The strainrate dependency andthe axial loadandP−∆effects
on the flexural rigidity variation along the column heights
were implemented in the model. Strain rate and axial load
effects on a typical RC column crosssectionwereinvestigated
by developing strain-rate dependent moment-curvature
relationships and force-moment interaction diagrams.
Analysis results showed that the column cross section
strength and deformation capacity are highly dependent on
the level of strain rates.
Bao and Li [1] investigated the response and residual
capacity of RC columns subjected to the combined effect of
gravity and blast loading using numerical simulation
techniques. The authorsinvestigated theeffectsoftransverse
reinforcement ratio and axial loading on the response of the
columns. Increase in transverse reinforcement ratio was
reported to increase the core concrete confinement and
longitudinal reinforcement restraint against buckling and
thus the blast resistance of RC columns. However, the
presence of a high amount of longitudinal reinforcements
resulted in sudden shear failure. Bao and Li [1] limited their
research to close-in explosions at a fixed standoff distance.
Wu et al. [13] also tested reinforced concrete columns
detailed for seismic resistance in accordance with American
Concrete Institute (ACI) Building Design Code to study the
residual capacity of RC columns subjected to contact
explosions and axial loads. Wu et al. [13] also limited their
research to close-in explosions and did not investigate the
performance of the RC columns under varying scaled
distances (the ratio of the stand-off distance to the cube root
of the charge mass of the explosive.)
Williams and Williamson [12] carried out experimental and
computationalresearchtounderstandthebehaviourofblast-
loaded concrete bridge members. Although spalling of
concrete cover off the back of reinforced concrete walls
subjected to blastloadswasa well-understoodphenomenon,
specimens experimentally tested for this research exhibited
spalling of side-cover concrete, which previously has not
been reported intheresearchliterature.Usingdetailedfinite-
element models, this paper explains the cross-sectional
response mechanisms that cause spalling of side-cover
concrete in blast-loaded slender reinforced concrete
members by numerically reproducing the behaviour
observed during the experimental testing program.
Other researchers like Parisi and Augenti [9] assessed the
influence of seismic design criteria on blast resistance of RC
framed structures. Two 3D models were developed and
analyzed for a case-study building: one was designed for
earthquake resistance according to Eurocode 8 (EC8); the
other was designed only for gravity loads according to codes
and practice going back to the 1970s. Seismic design criteria
provided sufficient robustness only against some blast
scenarios. In the case of EC8-nonconforming building,
inclined beams in the staircase induced higher robustness
against explosions occurring there and global ductility
reducedunder increasingloadbearingcapacity.Thelattercan
enhance by increasing longitudinal rebar in a way to avoid
flexural–shear interaction, and/or reducing stirrup spacing.
Conrad and Abass [2] investigated the responseofreinforced
concrete columns subjected to blast loading using a high-
fidelity physics-based finite element code, LS-DYNA, a
numerical study was undertaken to investigate the effects of
transverse reinforcement spacing on the blast resistance of
RC columns.The RC columns weremodelled with transverse
reinforcement detailing representativeofcolumnsdetailedas
conventional and seismic columns at various levels of
seismicity. The numerical models were validated with
experimental results from live explosion field testing. The
study shows that the effect of transverse reinforcement
spacing and axial loading significantly affects RC column
behaviour under blast loading at low scaled distances. At
higher scaled distances, however, the effects were
insignificant.
4. RC COLUMN DETAILING
RC columns with dimensions 300x300 mm square column &
340 mm diameter circular column of height 3000mm,
meeting the clause specifications of IS 13920:2016 [7] was
used for simulations. Column dimensions of square and
circular column are based on equal axial load carrying
capacity.
Figure-2 (a) presents, the reinforcement detailing for the
columns included in the investigation. Allthesquarecolumns
had 4-25mm longitudinal reinforcement (As/Ac = 2.20%)
and 10mm transverse reinforcement at variousspacing. The
detailing of circular columns included 6-20mm longitudinal
reinforcement (As/Ac = 2.10%) and 10mm transverse
reinforcement at various spacing. Columns designed for
gravity load resistance only are detailed in accordance with
clause 26.5.3.2 of IS 456:2000 [6] where transverse
reinforcement spacing is determined from the column
dimension and reinforcement size (longitudinal and
transverse). In this paper such columns are detailed with
10mm transverse reinforcement at 300mm spacing and
designated as conventional columns (CONV and CIR_CONV
for square and circular columns respectively). Columns
subjected to seismically induceddeformationsaredetailedin
accordance with clause 8.1 of IS 13920:2016 [7]. These
columns were detailed with reduced transverse
reinforcement spacing of 75mm in plastic hingeregions, top
and bottom of the columns, and 150mm between the plastic
hinge regions. These columns were designated as seismic-1
columns (SEIS-1 and CIR_SEIS-1 for square and circular
columns respectively). However the maximum moment
occurs near the mid-height of the column when subjected to
blast loading. Thus special confinement reinforcement
detailing is done throughout the column height in order to
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 08 | Aug 2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 574
provide the required confinement and ductility. These
columns were detailed in accordance to clause 8.3 of IS
13920:2016 [7] with reduced transverse reinforcement
spacingof75mm provided over the full height ofthe column.
These columns were designatedasseismic-2columns(SEIS-2
and CIR_SEIS-2 for square andcircularcolumnsrespectively).
To study the effect of different longitudinal reinforcement
arrangement schemes, columns with three different
reinforcement arrangement schemes where detailed in
accordancewith IS 456:2000 [6].Three squarecolumnswith
8-20mm longitudinal reinforcement (As/Ac = 2.80%) and
8mm transverse reinforcement at 300mm spacing were
detailed according to clause 26.5.3.2.b of IS 456:2000 [6].
First longitudinal reinforcement arrangement scheme
designated as LRAS-1 had 8-20mm longitudinal bars
distributed in two rows of 4-20mm each at two opposite
faces of the column normal to the direction of the incident
blast wave. Second longitudinal reinforcement arrangement
scheme designated as LRAS-2 had 8-20mmlongitudinalbars
distributed in two rows of 4-20mm each at two opposite
faces of the column parallel to the direction of the incident
blast wave. The third longitudinal reinforcement
arrangement scheme designated as LRAS-3 consisted of 8-
20mmlongitudinal bars distributed equally alongallthefour
faces of the column.
5. NUMERICAL MODELLING AND VALIDATION
The LS-DYNA software used forthenumericalmodelling,has
the capability of modelling the blast loading using empirical
blast load calculation code – CONWEP. Use of empirical code
for blast load calculation precludes requires less time for
analysis, only modelling of the structure is required and
defining the mass and coordinates of the explosion, then LS-
DYNA software calculates the pressure from the explosion
and apply it to the chosen structural surface.Thesimplicityis
the mostimportant advantage of this methodcomparedwith
othermethods. This method alsogivesverygoodresults[11]
compared to computationally expensivecomputationalfluid
dynamics based codes.
5.1 Finite element modelling of RC columns
Selection of appropriate element types is essential for
accurate modelling in the finite element method (FEM). The
element selection is based on the application, the level of
accuracy desired, and the time cost associated with the
numerical computation. The compatibility of the selected
element with the constitutive material model used in the
numerical analysis procedure is also very important.
The8-nodedunder-integratedsolidhexahedronelementwas
chosen to model the concrete while the Hughes-Liu beam
element was used to model both the longitudinal and
transverse reinforcement inthe RC columns.TheHughes-Liu
beam element, used in modelling both the longitudinal as
well as transverse reinforcement in the RCcolumns,hasbeen
used by several researchers for numerical modelling [1] and
has been reported to yield computationally efficient and
accurate results.The8-nodedunder-integratedsolidelement
has also been reported to yield acceptable results in
comparison with the fully integrated solid element.
5.2 Constitutive material models used
The Continuous Surface Cap Model (MAT_CSCM_159) was
chosen to model the concrete while the Material_Piecewise
_Linear_Plasticity (MAT_024) model was used to model the
steel reinforcement in the RC columns.
5.3 Concrete-steel reinforcement bond
The method used in this study create concrete-steel
reinforcement bond which allows for meshing the concrete
and the reinforcement separately and coupling the concrete
and reinforcing bar nodes using the
CONSTRAINED_LAGRANGE_ IN_SOLID keycard in LS-DYNA
[8]. The CONSTRAINED_LAGRANGE_ IN_SOLID keycard
requires, as input, the master (in this case concrete) and
slave (reinforcing bars) components of the meshed parts.
5.4 Blast loading and axial loading
Blast loading on the RC columns was simulated with the
LOAD_BLAST_ENHANCED (LBE) keycard in LS-DYNA [8]. In
LS-DYNA blast loading can be modelled using:LOAD_BLAST,
LOAD_BLAST_ENHANCED or multi-material Arbitrary
Lagrangian-Eulerean (MMALE) formulation. The LBE is
computationally less expensive when compared to the
detailed multi-material Arbitrary Lagrangian Eulerian
method and requires fewer input parameters. The LBE
keycard has been reported to produce blast loading with
acceptable accuracy for numerical simulations.
The axial loading of the RC columns in the numerical
simulations was accomplished in two phases. In the first
phase, the axial loading wasapplied to the top surface nodes
as linearly increasing load to the axial load level. The load is
maintained for a few milliseconds until the internal stress
stabilize at the stress corresponding to the ALR considered
in the simulation. The static pressure is then maintained
throughout the second phase of the loading which involves
lateral blast loading on the column.
5.5 Validation of numerical model
The finite element numerical models were validated with
results from an experimental test program reported by Siba
[10]. Explosive charge masses of 100 kg and 150 kg of
ammonium nitrate fuel oil (ANFO), corresponding to about
82-kg and 123-kg equivalent TNT massesrespectively,were
detonated at scaled distances ranging from 0.25 m/kg1/3 to
0.85 m/kg1/3.
Table -1: Mesh Sensitivity Analysis
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 08 | Aug 2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 575
In order to optimize the accuracy of the results while
minimizing high computational cost of thenumericalwork,a
mesh sensitivity analysis was carried out. The reinforced
concrete columns, were modelled with mesh sizes ranging
from 10 mm to 100 mm. For the mesh sensitivity analysis,
one of the conventionally detailed RC column with the
detailing scheme for column denoted as CONV-7 was
modelled and subjected to 82 kg of TNT ( a TNT equivalent
mass of the 100 kg of ANFO) used in experimental test
program [10]. The explosive was set at a stand-off distance
of 2.5 m and a height of burst of 1 m. Table-1 shows the
maximum displacements from the different mesh sizes and
the approximate run timesassociated with each of the mesh
sizes.
Table -1: Mesh Sensitivity Analysis
Figure-2: Comparison of displacement time histories
Figure-2 on the other hands shows a comparison of the
displacement-time historiesfor the variousmesh sizesused
and the experimental displacement-time history for a total
run time of 40 milliseconds. From Figure-2, the maximum
displacements decrease with decreasing mesh size,
converging to the experimental displacement at a mesh size
of 10 mm. The total run time and the associated disk space
requirements of mesh sizes smaller than 15 mm, made it
impractical to use mesh sizes less than 15 mm. A 15-mm
mesh size was observed to give adequate accuracy at
reasonable run times and was chosen for all subsequent
analysis.
Figure-3 presents post-test damage profiles of the
conventional RC columns from the experimental test and
numerical simulation, under blast loading from the 82-kg
TNT charge explosion. The blast loading did not cause
significant damage to the RC column; flexural cracking
developed on the back face.
Figure-3: Comparison of damaged profiles of CONV-7
5.6 Parametric analysis of RC columns under blast
loading
Parametric analyses were conducted after validating the
numerical models with experimental test results. The
parametric analyses studied the effect of scaled distance,
different charge masses at constant scaleddistance,different
reinforcement schemes, combined effect of blastloadingand
axial loading and effect of different column shapes on
response of RC columns.
5.6.1 Effect of different charge masses at same
scaled distance
The Hopkinson-Cranz scaling law ensures the same peak
pressure is produced by different explosivechargemassesat
a specified scaled distance when detonated in the same
atmosphere. Figure-4 shows displacement time histories of
CONV RC column subjected to blast loading from different
explosivecharge massesat constant scaled distance. Figure-
4 shows that the maximum displacement increases with
increasing explosivecharge mass butatsamescaleddistance
of 0.8 m/kg1/3.
Figure-5 shows displacement time histories of CONV RC
column subjected to blast loading from different explosive
charge masses at constant scaled distance of 1.0 m/kg1/3.
Figure-5 also shows that the maximum displacement
increaseswith increasing explosive charge mass butatsame
scaled distance. While the maximum displacementobserved
at scaled distance of 1.0 m/kg1/3 were significantly lower
than at the scaled distance of 1.2 m/kg1/3 for the same
charge masses.
Mesh
Size
(mm)
Number of
Elements
Maximum
Displacement
(mm)
Run
Time
(s)
Disk
Space
Used
(GB)
100 470 59 6 0.09
50 2560 45.6 26 0.37
30 10640 41.2 111 1.33
15 81320 35.7 1538 9.29
10 272000 33.6 5779 30.10
Experimental 32.4
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 08 | Aug 2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 576
Figure-4: DTHP for different charge masses (0.8 m/kg1/3)
Figure-5: DTHP for different charge masses (1.0 m/kg1/3)
Figure-6: DTHP for different charge masses (1.2 m/kg1/3)
Figure-6 shows displacement time histories of CONV RC
column subjected to blast loading from different explosive
charge masses at constant scaled distance of 1.2 m/kg1/3.
5.6.2 Effect of transverse reinforcement spacing
To study the effect of reinforcement detailing on the
behaviour of the modelled RC columns, three scaled
distances of 0.8 m/kg1/3, 1.0 m/kg1/3 and 1.2 m/kg1/3 were
considered. At each of these scaled distances, the RC
columns, with no axial loading on them, were subjected to
blast loading from detonation of 100 kg, 250 kg, 500 kg and
1000 kg charge masses.
Figure-7: DTHP for 100 kg charge mass (0.8 m/kg1/3)
Figure-7 showsdisplacement timehistoriesforCONV,SEIS-1
and SEIS-2 columns when subjected to blast loading caused
due to a charge mass of 100 kg at scaled distance of 0.8
m/kg1/3. The difference in maximum displacementobserved
due different transverse reinforcement spacing was
insignificant.
Figure-8: DTHP for 100 kg charge mass (1.0 m/kg1/3)
Figure-8 showsdisplacement timehistoriesforCONV,SEIS-1
and SEIS-2 columns when subjected to blast loading caused
due to a charge mass of 100 kg at scaled distance of 1.0
m/kg1/3. The difference in maximum displacementobserved
due different transverse reinforcement spacing was
insignificant.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 08 | Aug 2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 577
Figure-9 shows displacement timehistoriesforCONV,SEIS-1
and SEIS-2 columns when subjected to blast loading caused
due to a charge mass of 500 kg at scaled distance of 0.8
m/kg1/3. The difference in maximum displacementobserved
due different transverse reinforcement spacing very
significant. While the CONV column did not achieve
maximum displacement in the analysis termination time of
60 milliseconds.
Figure-9: DTHP for 500 kg charge mass (0.8 m/kg1/3)
Figure-10 shows displacement timehistoriesforCONV,SEIS-
1 and SEIS-2 columns when subjected to blast loading
caused due to a charge mass of 500 kg at scaled distance of
1.0 m/kg1/3. The difference in maximum displacement
observed due different transverse reinforcement spacing
was insignificant when compared to that at scaled distance
of 0.8 m/kg1/3.
ii
Figure-10: DTHP for 500 kg charge mass (1.0 m/kg1/3)
5.6.3 Effect of axial load ratio
The effect of axial loading on the RC columns was
investigated at scaled distances of 0.8 m/kg1/3 and 1.0
m/kg1/3. The three different RC column typesweresubjected
to 100-kg and 250-kg charge masses, at various scaled
distances, while the RC columns were simultaneously
subjected to different axial load ratios of 0.0, 0.1, 0.2 and
0.35.
Figure-11: DTHP for SEIS-1 at 100 kg charge mass (0.8
m/kg1/3)
Figure-11 shows displacement time histories for SEIS-1
columns when subjected to blast loading caused due to a
charge mass of 100 kg at scaled distance of 0.8 m/kg1/3 and
different axial loadsfor respective ALR valuesof 0.0, 0.1,0.2,
0.35. The Figure-11 shows that the maximum lateral
displacement decreases as the ALR value increases.
Figure-12: DTHP for SEIS-1 at 500 kg charge mass (0.8
m/kg1/3)
Figure-12 shows displacement time histories for SEIS-1
columns when subjected to blast loading caused due to a
charge mass of 500 kg at scaled distance of 0.8 m/kg1/3 and
different axial loadsfor respective ALR valuesof 0.0, 0.1,0.2,
0.35. The Figure-12 shows that the maximum lateral
displacement decreases asthe ALR value increasesfrom 0.0
to 0.2 but at the ALR value of 0.35 the lateral displacement
increases significantly.
Figure-13 shows displacement time histories for SEIS-1
columns when subjected to blast loading caused due to a
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
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charge mass of 100 kg at scaled distance of 1.0 m/kg1/3 and
different axial loads for respective ALR valuesof 0.0, 0.1,0.2,
0.35. The Figure-13 shows that the maximum lateral
displacement decreases as the ALR value increases.
Figure-13: DTHP for SEIS-1 at 100 kg charge mass(1.0
m/kg1/3)
Figure-14 shows displacement time histories for SEIS-1
columns when subjected to blast loading caused due to a
charge mass of 500 kg at scaled distance of 1.0 m/kg1/3 and
different axial loads for respective ALR valuesof 0.0, 0.1,0.2,
0.35. The Figure-14 shows that the maximum lateral
displacement decreases as the ALR value increases.
Figure-14: DTHP for SEIS-1 at 500 kg charge mass (1.0
m/kg1/3)
5.6.4 Effect of different column shapes
The effect of column shape on behaviour ofRCcolumnswere
investigated at scaled distances of 0.8 m/kg1/3. The two
different RC column shapesconsisting of three columntypes
each were subjected to 250-kg charge mass, at scaled
distance 0.8 m/kg1/3 , while the RC columns were
simultaneously subjected to different axial load ratiosof0.0,
0.1, 0.2 and 0.35.
Figure-15: DTHP for conventionally detailed columns at
250 kg charge mass (z= 0.8 m/kg1/3 and ALR = 0.1)
Figure-15 shows displacement time histories for CONV and
CIR_CONV columns when subjected to blast loading caused
due to a charge mass of 250 kg at scaled distance of 0.8
m/kg1/3 and axial load for the ALR value of 0.1. The Figure-
15 showsthat the maximum lateraldisplacementforcircular
column is significantly lower than that compared to square
column.
Figure-16: DTHP for conventionally detailed columns at
250 kg charge mass (z= 0.8 m/kg1/3 and ALR = 0.35)
Figure-16 shows displacement time histories for CONV and
CIR_CONV columns when subjected to blast loading caused
due to a charge mass of 250 kg at scaled distance of 0.8
m/kg1/3 and axial load for the ALR value of 0.35. The Figure-
16 showsthat the maximum lateraldisplacementforcircular
column is significantly lower than that compared to square
column.
Figure-17 showsdisplacement time historiesforSEIS-2 and
CIR_SEIS-1 columns when subjected to blast loading caused
due to a charge mass of 250 kg at scaled distance of 0.8
m/kg1/3 and axial load for the ALR value of 0.1. The Figure-
17 showsthat the maximum lateraldisplacementforcircular
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 08 | Aug 2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 579
column is significantly lower than that compared to square
column.
Figure-17: DTHP for columns with seismic-1 detailing at
250 kg charge mass (z= 0.8 m/kg1/3 and ALR = 0.1)
Figure-18 shows displacement time historiesforSEIS-2 and
CIR_SEIS-1 columns when subjected to blast loading caused
due to a charge mass of 250 kg at scaled distance of 0.8
m/kg1/3 and axial load for the ALR value of 0.35. The Figure-
18 shows that the maximum lateraldisplacementforcircular
column is significantly lower than that compared to square
column.
Figure-18: DTHP for columns with seismic-1 detailing at
250 kg charge mass (z= 0.8 m/kg1/3 and ALR = 0.35)
5.6.5 Effect of different longitudinal reinforcement
arrangement schemes
The effect of different longitudinal reinforcement
arrangement scheme on behaviour of conventionally
detailed RC columns were investigated at scaled distance of
0.8 m/kg1/3. The RC columns consisting of three different
longitudinal reinforcement arrangement schemes were
subjected to 100 kg and 250 kg charge mass, at scaled
distance 0.8 m/kg1/3 , while the RC columns were
simultaneously subjected to different axial load ratiosof0.0,
0.1, 0.2 and 0.35. The RC columns with three different
longitudinal reinforcement arrangement schemes are
denoted as LRAS-1, LRAS-2 and LRAS-3.
Figure-19: DTHP for conventionally detailed columns at
100 kg charge mass (z= 0.8 m/kg1/3 and ALR = 0.1)
Figure-19 shows displacement time histories for
conventionally detailed columns with different longitudinal
reinforcement arrangement schemes when subjected to
blast loading caused due to a charge mass of 100 kg at scaled
distance of 0.8 m/kg1/3 and axial load for the ALR value of
0.1. The Figure-19 shows that there is no significant
difference in maximum lateral displacement for different
longitudinal reinforcement arrangement schemes.
Figure-20: DTHP for conventionally detailed columns at
100 kg charge mass (z= 0.8 m/kg1/3 and ALR = 0.35)
Figure-20 shows displacement time histories for
conventionally detailed columns with different longitudinal
reinforcement arrangement schemes when subjected to
blast loading caused due to a charge mass of 100 kg at scaled
distance of 0.8 m/kg1/3 and axial load for the ALR value of
0.35. The Figure-20 shows that there is no significant
difference in maximum lateral displacement for different
longitudinal reinforcement arrangement schemes.
Figure-21 shows displacement time histories for
conventionally detailed columns with different longitudinal
reinforcement arrangement schemes when subjected to
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 08 | Aug 2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 580
blast loading caused due to a charge mass of 250 kg at scaled
distance of 0.8 m/kg1/3 and axial load for the ALR value of
0.1. The Figure-21 shows that there is significant difference
in maximum lateral displacement for different longitudinal
reinforcement arrangement schemes LRAS-1 and LRAS-2
while the difference in maximum displacement between
LRAS-1 and LRAS-3 is insignificant.
Figure-21: DTHP for conventionally detailed columns at
250 kg charge mass (z= 0.8 m/kg1/3 and ALR = 0.1)
Figure-22 shows displacement time histories for
conventionally detailed columns with different longitudinal
reinforcement arrangement schemes when subjected to
blast loading caused due to a charge mass of 250 kg at scaled
distance of 0.8 m/kg1/3 and axial load for the ALR value of
0.35. The Figure-22 showsthat there is significantdifference
in maximum lateral displacement for different longitudinal
reinforcement arrangementschemesLRAS-1andLRAS-2but
lower when that compared to for columns at ALR value of
0.1 while the difference in maximum displacement between
LRAS-1 and LRAS-3 is insignificant.
Figure-22: DTHP for conventionally detailed columns at
250 kg charge mass (z= 0.8 m/kg1/3 and ALR = 0.35)
In order to summarize, even if the lateral displacement
observed in case of LRAS-1 is the least the reliability of such
reinforcement arrangement scheme depends entirelyonthe
direction of the incident blast wave.
6 CONCLUSIONS
The conclusions drawn from the numerical work presented
in this paper are as follows:
 Generally, at the same scaled distance, increasing
the magnitude of charge masses resulted in
increased lateral displacement and much more
extensive damage to the RC column, especially at
smaller scaled distances. At higher scaled distance,
however, the difference in the lateraldisplacements
from different charge masses at the same scaled
distance was observed to have decreased
significantly.
 Reduction of transverse reinforcement spacing in
RC columns resulted in reduced lateral
displacementsat lower scaled distances.Thelateral
displacements increased with increasing charge
mass at constant scaled distance.
 Reduction in transverse reinforcement spacing had
insignificant effect on lateral displacement of RC
columns at larger scaled distances.
 The gravity loads from upper stories on the
behaviour of RC columns subjected to blast loading
was reduced lateral displacement in general.
 At high axial load ratios, RC columns displayedlarge
lateral displacement and suffered crushing of
concrete and the subsequent buckling of
longitudinal reinforcing bars in the mid-region at
high blast load levels, especially at low scaled
distances.
 The lateral displacement of circularRCcolumnswas
significantly reduced when thatcomparedtosquare
RC columns subjected to blast loading. Reductionin
lateral displacement for circular columns was
observed in case of both conventionally detailedRC
columns as well as RC columns with seismic
detailing.
 Difference in lateral displacement for RC columns
with different longitudinal reinforcement
arrangement schemes of was insignificant at low
blast load levels while significant change in lateral
displacement wasobserved at high blast load levels
at low scaled distance.
 Longitudinal reinforcement arrangementschemein
which equal reinforcement is distributed across all
the faces of the column was observed most reliable
to resist the effect of blast loading on the column
structure.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 08 | Aug 2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 581
REFERENCES
[1] Bao, X., and Li, B., 2010, “Residual Strength of Blast
Damaged Reinforced Concrete Columns,” Int. J. Impact.
Eng., 37(3), pp. 295–308.
[2] Conrad, K., and Abass, B., 2017, “Effects of Transverse
Reinforcement spacing on the Response of Reinforced
Concrete Columns Subjected to Blast Loading,” Eng.
Struct., 142, pp. 148–164.
[3] FEMA., 2003, Risk Management Series: Reference
Manual to Mitigate Potential Terrorist Attack Against
Buildings. Federal Emergency Management Agency.
[4] El-Dakhakhni, W., Mekky, W., and Changiz-Rezaei, S.,
2009, “Vulnerability Screening andCapacityAssessment
of Reinforced Concrete Columns Subjected to Blast,” J.
Perform. Constr. Facil., 23(5), 353-365.
[5] Karlos, V., & Solomos, G., 2013, “Calculation of Blast
Loads for Application to Structural Components,”
Institute for the Protection and Security of the Citizen,
Luxembourg, pp. 55.
[6] IS 456:2000., “Indian Standard Plain and Reinforced
Concrete - Code of Practice,” Fourth Revision.
[7] IS 13920:2016., “Indian Standard Ductile Design and
Detailing of Reinforced Concrete StructuresSubjectedto
Seismic Forces – Code of Practice,” Fourth Revision.
[8] LS-DYNA, M., 2017, “LS-DYNA Keyword User’sManual,”
Livermore Software Technology Corporation,
Livermore, California.
[9] Parisi, F., and Augenti, N., 2012, “Influence of Seismic
Design Criteria on Blast Resistance of RC Framed
Buildings: A Case Study,” Eng. Struct., 44, pp. 78–93.
[10] Siba, F., 2014, “Near-field Explosion Effects on
Reinforced Concrete Columns: An Experimental
Investigation,” Department of Civil and Environmental
Engineering, Carleton University.
[11] Tabatabaei, Z. S., and Volz, J. S., 2012, “A Comparison
between Three Different Blast Methods in LS-DYNA®:
LBE, MM-ALE, Coupling of LBE and MM-ALE,” In the
12th International LS-DYNA User Conference, Michigan,
USA.
[12] Williams, G., and Williamson, E., 2011, “Response of
Reinforced Concrete Bridge Columns Subjected to Blast
Loads,” J. Struct. Eng., 137(9), pp. 903–913.
[13] Wu, K-C., Li, B., and Tsai, K-C., 2011, “The Effects of
Explosive Mass Ratio on Residual CompressiveCapacity
of Contact Blast Damaged CompositeColumns,”J.Constr.
Steel. Res., 67(4), pp. 602–12.
BIOGRAPHIES
Mr. Nikhil P. Patil ispostgraduate
student in structural engineering
program in department of civil
engineering at Sanjay Ghodawat
Group of Institutions, Atigre,
Kolhapur, India
Prof. Virupaksh G. Khurd is
Assistant Professor in department
of civil engineering at Sanjay
Ghodawat Group of Institutions,
Atigre, Kolhapur, India

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IRJET- Effects of Different Reinforcement Schemes and Column Shapes on the Response of Reinforced Concrete Columns Subjected to Blast Loading

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 08 | Aug 2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 571 Effects of different reinforcement schemes and column shapes on the response of reinforced concrete columns subjected to blast loading Mr. N. P. Patil1, Prof. V. G. Khurd2 1Student, Dept. of Civil Engineering, Sanjay Ghodawat Group of Institutions, Atigre, Shivaji University, Kolhapur, India 2Assistant Professor, Dept. of Civil Engineering, Sanjay Ghodawat Group of Institutions, Atigre, Shivaji University, Kolhapur, India ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract – Concerns have risen for response of building structure when subjected to blast loading as it involves loss of lives and response of buildings which are mostlydesignedwith conventional approach without considering the effect of sudden dynamic loading on the structure. Failure of the load- bearing member in an building structure can lead to the catastrophic damage to the structure including widespread buildings failure. Hence, it is necessary to study the effect of blast loading on the behaviour of reinforced concrete column as column is the most important structural element of the building while reinforced concrete is the most desirable material due to its availability. Reinforcedconcretecolumnsin this study were detailed according IS 456:2000 and IS 13920:2016 Indian Standard Codes. Using a high-fidelity physics-based finite element code, LS-DYNA, anumericalstudy was undertaken to investigate the effects of different reinforcement schemes and column shapes on the blast resistance of RC columns. The study shows that the transverse reinforcement spacing and axial loading significantly affects the behavior of RC columns when subjected to blast loading. The results from this study also revealed that circular shaped columns displayed prominently higher blast resistance when compared to square shaped columns. The different longitudinal arrangement schemes showed significant variation in response of RC columns when subjected to blast loading at low scaled distances. Key Words: Blast, Column shapes, Explosion, Finiteelement analysis, Longitudinal reinforcement, LS-DYNA, Reinforced concrete column, Scaled distance, Transversereinforcement. 1. INTRODUCTION An explosion within or nearby a building can cause significant damage to the built structure. Blast canbecaused under various scenarios like terrorist bombing including vehicle-borne bomb, blast due to high pressure, quarry- blasting, explosion due to negligence at industries dealing with explosive chemicalsand many more.Theincreaseinthe number of terrorist attacksover the pastfewdecadeshasled to growing concerns about the performance of buildings designed for aestheticsand economywhensubjectedtoblast loading. The United States Federal Emergency Management Agency (FEMA) [3] reports that approximately one in every two terrorist attacks involves the use of explosives. Therefore, terrorist attacks around the world have revealed the blast load vulnerability of buildings designed and constructed without due consideration to blast loading. Reinforced concrete has been shown to be a desirable material of choice in blast resistant structures due to its availability, relatively low cost, and its inherent ability to absorb energy produced by explosions. Understanding the behaviour of components of a structure in a blast event is therefore critical in increasing the survivability of the structure. The Oklahoma City bombing had drawn the attention of researchersto the importance of understanding blast resistance of reinforced concrete columns. Since it was shown that, in such catastrophic events, first floor columns can fail and lead to progressive collapse of the building. The lack of experimental research into the blastresistanceof building components stems from lack of access to test sites, the high cost of transportation of specimens to the site, rental of heavy equipment to setup experimental tests, and hazardsassociated with explosion testing. Theseconstraints limit the number of tests that can be performed and the number of parameters that can be investigated in each test program. With recent developments in computer software and hardware technology, numerical modelling techniques present a viable and cost effective alternative to explosive field testing. Numerical modelling offers researchers the ability to conduct an extensive investigation of many design parameters at a significantly lower cost. By understanding the use of finite element packages, more efficient and better analyses can be made to fully understand the response of individual structural componentsand their contributiontoa structure as a whole subjected to various loads. Hence, this study is carried out to understand the effect of blast loading on a certain structural element i.e. reinforced concrete column designed according to the specifications mentioned in Indian IS codes. 2. OBJECTIVES The objectives of the research work reported in this paper were, primarily: To study the effect of varying transverse reinforcement spacing (seismic detailing) on the blast resistance of RC columns.
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 08 | Aug 2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 572  To study the effect of axial load on the blast resistance of RC columns.  To study the effect of column shapes on the blast resistance of RC columns.  To study the effect of longitudinal reinforcement arrangement on the blast resistance of RC columns. 3. LITERATURE REVIEW It is very difficult to experimentally study the effect of extreme loads including blast loads on structures, the evaluation ofthedamage caused by blastloadsonastructure is also very difficult to conduct. The behaviour of existing RC structure is unknown when subjected to extreme loads as they are not designed to resist the same. Hence, it is important to find waysto evaluate and predict the behaviour of the RC structures to blast loads. Use of FEA software to evaluate the damages caused by blast loads is widely used these days, this is because the availability of large material library, ease of accessing them and changing parameters,the ability to simulate problems that are very difficult to carry out experimentally, the costless efforts compared to experiments, and the safety of using FEA software. 3.1 Explosions and blast-loading types An explosion can be defined as a very fast chemical reaction involving a solid, dust or gas, during which a rapid release of hot gases and energy takesplace[5].Non-contact,unconfined explosions, external to a structure are considered in this study which are of three types mentioned as follows: (a.) Free-air blast (b.) Air blast (c.) Surface blast 3.2 Scaling laws The effect ofdistance onthe blast characteristicscanbetaken into account by the introduction of scaling laws. These laws have the ability to scale parameters, which were defined through experiments, in order to be used for varying values of distance and charge energy release. The experimental results are, in this way, generalized to include cases that are different from the initial experimental setup. The most common blast scaling laws are the ones introduced by Hopkinson-Cranz and Sachs. The idea behind both formulations is that during the detonation of two charges of the same explosive that have similar geometry but different weight and are situated at the same scaled distance from a target surface, similar blast waves are produced at the point of interest as long as they are under the same atmospheric conditions. According to Hopkinson-Cranzlaw,adimensional scaled distance is introduced as described by Equation (1), Z = R/W1/3 (1) where, R is the distance from the detonation source to the pointof interest[m] and W is the weight (more precisely:the mass) of the explosive [kg]. 3.3 Blast wave reflection The interaction between anobject and ablastwavegenerates a pressure pattern which is different than the idealized time history presented in Figure-1. As the blast wave travels through space, decreasing in speed and peak pressure value, it encircles every object/structure that lies within its range. The load that has to be withstood by a structure depends on various parameters, such as the type and weight of the explosive charge, the distance of the detonation point, the structure’s geometry and type, the interaction of the wave with the environment and the ground, etc. When the blast wave comes to contact with a rigid surface the pressure that is reflected is larger than the incident peak pressure Pso. The reason for this rise is attributed to the nature of the propagationof the blastwave throughtheair.Whilethewave travels, it moves along air particles that collide with the surface upon arrival. In an ideal linear-elastic case the particles should be able to bounce back freely leading to a reflected pressure equal to the incident pressure, and thus the surface would experience a doubling of the acting pressure. In a strong blast wave, which as a shock wave is a non-linear phenomenon, the reflection of these particles is obstructed by subsequent air particles that are transferred there, thusleading to muchhigher reflected pressure values. In this case the surface would experience an acting pressure much higher than the incident one. Figure-1 : Incident, reflected and dynamic pressure time histories. Clearly it is this reflected pressure to be used for design. Figure-1 shows the difference between the incident and the reflected pressure in an infinite surface. As just noted, the reflected pressure can be several times larger than the incident pressure, depending on the geometry of the structure, the type, size, weight and distance of the explosive as well as the interference of other obstacles between the detonation point and the structure. Figure-1 also depicts a typical dynamic pressure time history.
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 08 | Aug 2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 573 3.4 Review of previous literature El-Dakhakhni et al. [4] developed a nonlinear model to study the responseof blast-loadedreinforcedconcreteRCcolumns. The strainrate dependency andthe axial loadandP−∆effects on the flexural rigidity variation along the column heights were implemented in the model. Strain rate and axial load effects on a typical RC column crosssectionwereinvestigated by developing strain-rate dependent moment-curvature relationships and force-moment interaction diagrams. Analysis results showed that the column cross section strength and deformation capacity are highly dependent on the level of strain rates. Bao and Li [1] investigated the response and residual capacity of RC columns subjected to the combined effect of gravity and blast loading using numerical simulation techniques. The authorsinvestigated theeffectsoftransverse reinforcement ratio and axial loading on the response of the columns. Increase in transverse reinforcement ratio was reported to increase the core concrete confinement and longitudinal reinforcement restraint against buckling and thus the blast resistance of RC columns. However, the presence of a high amount of longitudinal reinforcements resulted in sudden shear failure. Bao and Li [1] limited their research to close-in explosions at a fixed standoff distance. Wu et al. [13] also tested reinforced concrete columns detailed for seismic resistance in accordance with American Concrete Institute (ACI) Building Design Code to study the residual capacity of RC columns subjected to contact explosions and axial loads. Wu et al. [13] also limited their research to close-in explosions and did not investigate the performance of the RC columns under varying scaled distances (the ratio of the stand-off distance to the cube root of the charge mass of the explosive.) Williams and Williamson [12] carried out experimental and computationalresearchtounderstandthebehaviourofblast- loaded concrete bridge members. Although spalling of concrete cover off the back of reinforced concrete walls subjected to blastloadswasa well-understoodphenomenon, specimens experimentally tested for this research exhibited spalling of side-cover concrete, which previously has not been reported intheresearchliterature.Usingdetailedfinite- element models, this paper explains the cross-sectional response mechanisms that cause spalling of side-cover concrete in blast-loaded slender reinforced concrete members by numerically reproducing the behaviour observed during the experimental testing program. Other researchers like Parisi and Augenti [9] assessed the influence of seismic design criteria on blast resistance of RC framed structures. Two 3D models were developed and analyzed for a case-study building: one was designed for earthquake resistance according to Eurocode 8 (EC8); the other was designed only for gravity loads according to codes and practice going back to the 1970s. Seismic design criteria provided sufficient robustness only against some blast scenarios. In the case of EC8-nonconforming building, inclined beams in the staircase induced higher robustness against explosions occurring there and global ductility reducedunder increasingloadbearingcapacity.Thelattercan enhance by increasing longitudinal rebar in a way to avoid flexural–shear interaction, and/or reducing stirrup spacing. Conrad and Abass [2] investigated the responseofreinforced concrete columns subjected to blast loading using a high- fidelity physics-based finite element code, LS-DYNA, a numerical study was undertaken to investigate the effects of transverse reinforcement spacing on the blast resistance of RC columns.The RC columns weremodelled with transverse reinforcement detailing representativeofcolumnsdetailedas conventional and seismic columns at various levels of seismicity. The numerical models were validated with experimental results from live explosion field testing. The study shows that the effect of transverse reinforcement spacing and axial loading significantly affects RC column behaviour under blast loading at low scaled distances. At higher scaled distances, however, the effects were insignificant. 4. RC COLUMN DETAILING RC columns with dimensions 300x300 mm square column & 340 mm diameter circular column of height 3000mm, meeting the clause specifications of IS 13920:2016 [7] was used for simulations. Column dimensions of square and circular column are based on equal axial load carrying capacity. Figure-2 (a) presents, the reinforcement detailing for the columns included in the investigation. Allthesquarecolumns had 4-25mm longitudinal reinforcement (As/Ac = 2.20%) and 10mm transverse reinforcement at variousspacing. The detailing of circular columns included 6-20mm longitudinal reinforcement (As/Ac = 2.10%) and 10mm transverse reinforcement at various spacing. Columns designed for gravity load resistance only are detailed in accordance with clause 26.5.3.2 of IS 456:2000 [6] where transverse reinforcement spacing is determined from the column dimension and reinforcement size (longitudinal and transverse). In this paper such columns are detailed with 10mm transverse reinforcement at 300mm spacing and designated as conventional columns (CONV and CIR_CONV for square and circular columns respectively). Columns subjected to seismically induceddeformationsaredetailedin accordance with clause 8.1 of IS 13920:2016 [7]. These columns were detailed with reduced transverse reinforcement spacing of 75mm in plastic hingeregions, top and bottom of the columns, and 150mm between the plastic hinge regions. These columns were designated as seismic-1 columns (SEIS-1 and CIR_SEIS-1 for square and circular columns respectively). However the maximum moment occurs near the mid-height of the column when subjected to blast loading. Thus special confinement reinforcement detailing is done throughout the column height in order to
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 08 | Aug 2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 574 provide the required confinement and ductility. These columns were detailed in accordance to clause 8.3 of IS 13920:2016 [7] with reduced transverse reinforcement spacingof75mm provided over the full height ofthe column. These columns were designatedasseismic-2columns(SEIS-2 and CIR_SEIS-2 for square andcircularcolumnsrespectively). To study the effect of different longitudinal reinforcement arrangement schemes, columns with three different reinforcement arrangement schemes where detailed in accordancewith IS 456:2000 [6].Three squarecolumnswith 8-20mm longitudinal reinforcement (As/Ac = 2.80%) and 8mm transverse reinforcement at 300mm spacing were detailed according to clause 26.5.3.2.b of IS 456:2000 [6]. First longitudinal reinforcement arrangement scheme designated as LRAS-1 had 8-20mm longitudinal bars distributed in two rows of 4-20mm each at two opposite faces of the column normal to the direction of the incident blast wave. Second longitudinal reinforcement arrangement scheme designated as LRAS-2 had 8-20mmlongitudinalbars distributed in two rows of 4-20mm each at two opposite faces of the column parallel to the direction of the incident blast wave. The third longitudinal reinforcement arrangement scheme designated as LRAS-3 consisted of 8- 20mmlongitudinal bars distributed equally alongallthefour faces of the column. 5. NUMERICAL MODELLING AND VALIDATION The LS-DYNA software used forthenumericalmodelling,has the capability of modelling the blast loading using empirical blast load calculation code – CONWEP. Use of empirical code for blast load calculation precludes requires less time for analysis, only modelling of the structure is required and defining the mass and coordinates of the explosion, then LS- DYNA software calculates the pressure from the explosion and apply it to the chosen structural surface.Thesimplicityis the mostimportant advantage of this methodcomparedwith othermethods. This method alsogivesverygoodresults[11] compared to computationally expensivecomputationalfluid dynamics based codes. 5.1 Finite element modelling of RC columns Selection of appropriate element types is essential for accurate modelling in the finite element method (FEM). The element selection is based on the application, the level of accuracy desired, and the time cost associated with the numerical computation. The compatibility of the selected element with the constitutive material model used in the numerical analysis procedure is also very important. The8-nodedunder-integratedsolidhexahedronelementwas chosen to model the concrete while the Hughes-Liu beam element was used to model both the longitudinal and transverse reinforcement inthe RC columns.TheHughes-Liu beam element, used in modelling both the longitudinal as well as transverse reinforcement in the RCcolumns,hasbeen used by several researchers for numerical modelling [1] and has been reported to yield computationally efficient and accurate results.The8-nodedunder-integratedsolidelement has also been reported to yield acceptable results in comparison with the fully integrated solid element. 5.2 Constitutive material models used The Continuous Surface Cap Model (MAT_CSCM_159) was chosen to model the concrete while the Material_Piecewise _Linear_Plasticity (MAT_024) model was used to model the steel reinforcement in the RC columns. 5.3 Concrete-steel reinforcement bond The method used in this study create concrete-steel reinforcement bond which allows for meshing the concrete and the reinforcement separately and coupling the concrete and reinforcing bar nodes using the CONSTRAINED_LAGRANGE_ IN_SOLID keycard in LS-DYNA [8]. The CONSTRAINED_LAGRANGE_ IN_SOLID keycard requires, as input, the master (in this case concrete) and slave (reinforcing bars) components of the meshed parts. 5.4 Blast loading and axial loading Blast loading on the RC columns was simulated with the LOAD_BLAST_ENHANCED (LBE) keycard in LS-DYNA [8]. In LS-DYNA blast loading can be modelled using:LOAD_BLAST, LOAD_BLAST_ENHANCED or multi-material Arbitrary Lagrangian-Eulerean (MMALE) formulation. The LBE is computationally less expensive when compared to the detailed multi-material Arbitrary Lagrangian Eulerian method and requires fewer input parameters. The LBE keycard has been reported to produce blast loading with acceptable accuracy for numerical simulations. The axial loading of the RC columns in the numerical simulations was accomplished in two phases. In the first phase, the axial loading wasapplied to the top surface nodes as linearly increasing load to the axial load level. The load is maintained for a few milliseconds until the internal stress stabilize at the stress corresponding to the ALR considered in the simulation. The static pressure is then maintained throughout the second phase of the loading which involves lateral blast loading on the column. 5.5 Validation of numerical model The finite element numerical models were validated with results from an experimental test program reported by Siba [10]. Explosive charge masses of 100 kg and 150 kg of ammonium nitrate fuel oil (ANFO), corresponding to about 82-kg and 123-kg equivalent TNT massesrespectively,were detonated at scaled distances ranging from 0.25 m/kg1/3 to 0.85 m/kg1/3. Table -1: Mesh Sensitivity Analysis
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 08 | Aug 2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 575 In order to optimize the accuracy of the results while minimizing high computational cost of thenumericalwork,a mesh sensitivity analysis was carried out. The reinforced concrete columns, were modelled with mesh sizes ranging from 10 mm to 100 mm. For the mesh sensitivity analysis, one of the conventionally detailed RC column with the detailing scheme for column denoted as CONV-7 was modelled and subjected to 82 kg of TNT ( a TNT equivalent mass of the 100 kg of ANFO) used in experimental test program [10]. The explosive was set at a stand-off distance of 2.5 m and a height of burst of 1 m. Table-1 shows the maximum displacements from the different mesh sizes and the approximate run timesassociated with each of the mesh sizes. Table -1: Mesh Sensitivity Analysis Figure-2: Comparison of displacement time histories Figure-2 on the other hands shows a comparison of the displacement-time historiesfor the variousmesh sizesused and the experimental displacement-time history for a total run time of 40 milliseconds. From Figure-2, the maximum displacements decrease with decreasing mesh size, converging to the experimental displacement at a mesh size of 10 mm. The total run time and the associated disk space requirements of mesh sizes smaller than 15 mm, made it impractical to use mesh sizes less than 15 mm. A 15-mm mesh size was observed to give adequate accuracy at reasonable run times and was chosen for all subsequent analysis. Figure-3 presents post-test damage profiles of the conventional RC columns from the experimental test and numerical simulation, under blast loading from the 82-kg TNT charge explosion. The blast loading did not cause significant damage to the RC column; flexural cracking developed on the back face. Figure-3: Comparison of damaged profiles of CONV-7 5.6 Parametric analysis of RC columns under blast loading Parametric analyses were conducted after validating the numerical models with experimental test results. The parametric analyses studied the effect of scaled distance, different charge masses at constant scaleddistance,different reinforcement schemes, combined effect of blastloadingand axial loading and effect of different column shapes on response of RC columns. 5.6.1 Effect of different charge masses at same scaled distance The Hopkinson-Cranz scaling law ensures the same peak pressure is produced by different explosivechargemassesat a specified scaled distance when detonated in the same atmosphere. Figure-4 shows displacement time histories of CONV RC column subjected to blast loading from different explosivecharge massesat constant scaled distance. Figure- 4 shows that the maximum displacement increases with increasing explosivecharge mass butatsamescaleddistance of 0.8 m/kg1/3. Figure-5 shows displacement time histories of CONV RC column subjected to blast loading from different explosive charge masses at constant scaled distance of 1.0 m/kg1/3. Figure-5 also shows that the maximum displacement increaseswith increasing explosive charge mass butatsame scaled distance. While the maximum displacementobserved at scaled distance of 1.0 m/kg1/3 were significantly lower than at the scaled distance of 1.2 m/kg1/3 for the same charge masses. Mesh Size (mm) Number of Elements Maximum Displacement (mm) Run Time (s) Disk Space Used (GB) 100 470 59 6 0.09 50 2560 45.6 26 0.37 30 10640 41.2 111 1.33 15 81320 35.7 1538 9.29 10 272000 33.6 5779 30.10 Experimental 32.4
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 08 | Aug 2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 576 Figure-4: DTHP for different charge masses (0.8 m/kg1/3) Figure-5: DTHP for different charge masses (1.0 m/kg1/3) Figure-6: DTHP for different charge masses (1.2 m/kg1/3) Figure-6 shows displacement time histories of CONV RC column subjected to blast loading from different explosive charge masses at constant scaled distance of 1.2 m/kg1/3. 5.6.2 Effect of transverse reinforcement spacing To study the effect of reinforcement detailing on the behaviour of the modelled RC columns, three scaled distances of 0.8 m/kg1/3, 1.0 m/kg1/3 and 1.2 m/kg1/3 were considered. At each of these scaled distances, the RC columns, with no axial loading on them, were subjected to blast loading from detonation of 100 kg, 250 kg, 500 kg and 1000 kg charge masses. Figure-7: DTHP for 100 kg charge mass (0.8 m/kg1/3) Figure-7 showsdisplacement timehistoriesforCONV,SEIS-1 and SEIS-2 columns when subjected to blast loading caused due to a charge mass of 100 kg at scaled distance of 0.8 m/kg1/3. The difference in maximum displacementobserved due different transverse reinforcement spacing was insignificant. Figure-8: DTHP for 100 kg charge mass (1.0 m/kg1/3) Figure-8 showsdisplacement timehistoriesforCONV,SEIS-1 and SEIS-2 columns when subjected to blast loading caused due to a charge mass of 100 kg at scaled distance of 1.0 m/kg1/3. The difference in maximum displacementobserved due different transverse reinforcement spacing was insignificant.
  • 7. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 08 | Aug 2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 577 Figure-9 shows displacement timehistoriesforCONV,SEIS-1 and SEIS-2 columns when subjected to blast loading caused due to a charge mass of 500 kg at scaled distance of 0.8 m/kg1/3. The difference in maximum displacementobserved due different transverse reinforcement spacing very significant. While the CONV column did not achieve maximum displacement in the analysis termination time of 60 milliseconds. Figure-9: DTHP for 500 kg charge mass (0.8 m/kg1/3) Figure-10 shows displacement timehistoriesforCONV,SEIS- 1 and SEIS-2 columns when subjected to blast loading caused due to a charge mass of 500 kg at scaled distance of 1.0 m/kg1/3. The difference in maximum displacement observed due different transverse reinforcement spacing was insignificant when compared to that at scaled distance of 0.8 m/kg1/3. ii Figure-10: DTHP for 500 kg charge mass (1.0 m/kg1/3) 5.6.3 Effect of axial load ratio The effect of axial loading on the RC columns was investigated at scaled distances of 0.8 m/kg1/3 and 1.0 m/kg1/3. The three different RC column typesweresubjected to 100-kg and 250-kg charge masses, at various scaled distances, while the RC columns were simultaneously subjected to different axial load ratios of 0.0, 0.1, 0.2 and 0.35. Figure-11: DTHP for SEIS-1 at 100 kg charge mass (0.8 m/kg1/3) Figure-11 shows displacement time histories for SEIS-1 columns when subjected to blast loading caused due to a charge mass of 100 kg at scaled distance of 0.8 m/kg1/3 and different axial loadsfor respective ALR valuesof 0.0, 0.1,0.2, 0.35. The Figure-11 shows that the maximum lateral displacement decreases as the ALR value increases. Figure-12: DTHP for SEIS-1 at 500 kg charge mass (0.8 m/kg1/3) Figure-12 shows displacement time histories for SEIS-1 columns when subjected to blast loading caused due to a charge mass of 500 kg at scaled distance of 0.8 m/kg1/3 and different axial loadsfor respective ALR valuesof 0.0, 0.1,0.2, 0.35. The Figure-12 shows that the maximum lateral displacement decreases asthe ALR value increasesfrom 0.0 to 0.2 but at the ALR value of 0.35 the lateral displacement increases significantly. Figure-13 shows displacement time histories for SEIS-1 columns when subjected to blast loading caused due to a
  • 8. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 08 | Aug 2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 578 charge mass of 100 kg at scaled distance of 1.0 m/kg1/3 and different axial loads for respective ALR valuesof 0.0, 0.1,0.2, 0.35. The Figure-13 shows that the maximum lateral displacement decreases as the ALR value increases. Figure-13: DTHP for SEIS-1 at 100 kg charge mass(1.0 m/kg1/3) Figure-14 shows displacement time histories for SEIS-1 columns when subjected to blast loading caused due to a charge mass of 500 kg at scaled distance of 1.0 m/kg1/3 and different axial loads for respective ALR valuesof 0.0, 0.1,0.2, 0.35. The Figure-14 shows that the maximum lateral displacement decreases as the ALR value increases. Figure-14: DTHP for SEIS-1 at 500 kg charge mass (1.0 m/kg1/3) 5.6.4 Effect of different column shapes The effect of column shape on behaviour ofRCcolumnswere investigated at scaled distances of 0.8 m/kg1/3. The two different RC column shapesconsisting of three columntypes each were subjected to 250-kg charge mass, at scaled distance 0.8 m/kg1/3 , while the RC columns were simultaneously subjected to different axial load ratiosof0.0, 0.1, 0.2 and 0.35. Figure-15: DTHP for conventionally detailed columns at 250 kg charge mass (z= 0.8 m/kg1/3 and ALR = 0.1) Figure-15 shows displacement time histories for CONV and CIR_CONV columns when subjected to blast loading caused due to a charge mass of 250 kg at scaled distance of 0.8 m/kg1/3 and axial load for the ALR value of 0.1. The Figure- 15 showsthat the maximum lateraldisplacementforcircular column is significantly lower than that compared to square column. Figure-16: DTHP for conventionally detailed columns at 250 kg charge mass (z= 0.8 m/kg1/3 and ALR = 0.35) Figure-16 shows displacement time histories for CONV and CIR_CONV columns when subjected to blast loading caused due to a charge mass of 250 kg at scaled distance of 0.8 m/kg1/3 and axial load for the ALR value of 0.35. The Figure- 16 showsthat the maximum lateraldisplacementforcircular column is significantly lower than that compared to square column. Figure-17 showsdisplacement time historiesforSEIS-2 and CIR_SEIS-1 columns when subjected to blast loading caused due to a charge mass of 250 kg at scaled distance of 0.8 m/kg1/3 and axial load for the ALR value of 0.1. The Figure- 17 showsthat the maximum lateraldisplacementforcircular
  • 9. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 08 | Aug 2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 579 column is significantly lower than that compared to square column. Figure-17: DTHP for columns with seismic-1 detailing at 250 kg charge mass (z= 0.8 m/kg1/3 and ALR = 0.1) Figure-18 shows displacement time historiesforSEIS-2 and CIR_SEIS-1 columns when subjected to blast loading caused due to a charge mass of 250 kg at scaled distance of 0.8 m/kg1/3 and axial load for the ALR value of 0.35. The Figure- 18 shows that the maximum lateraldisplacementforcircular column is significantly lower than that compared to square column. Figure-18: DTHP for columns with seismic-1 detailing at 250 kg charge mass (z= 0.8 m/kg1/3 and ALR = 0.35) 5.6.5 Effect of different longitudinal reinforcement arrangement schemes The effect of different longitudinal reinforcement arrangement scheme on behaviour of conventionally detailed RC columns were investigated at scaled distance of 0.8 m/kg1/3. The RC columns consisting of three different longitudinal reinforcement arrangement schemes were subjected to 100 kg and 250 kg charge mass, at scaled distance 0.8 m/kg1/3 , while the RC columns were simultaneously subjected to different axial load ratiosof0.0, 0.1, 0.2 and 0.35. The RC columns with three different longitudinal reinforcement arrangement schemes are denoted as LRAS-1, LRAS-2 and LRAS-3. Figure-19: DTHP for conventionally detailed columns at 100 kg charge mass (z= 0.8 m/kg1/3 and ALR = 0.1) Figure-19 shows displacement time histories for conventionally detailed columns with different longitudinal reinforcement arrangement schemes when subjected to blast loading caused due to a charge mass of 100 kg at scaled distance of 0.8 m/kg1/3 and axial load for the ALR value of 0.1. The Figure-19 shows that there is no significant difference in maximum lateral displacement for different longitudinal reinforcement arrangement schemes. Figure-20: DTHP for conventionally detailed columns at 100 kg charge mass (z= 0.8 m/kg1/3 and ALR = 0.35) Figure-20 shows displacement time histories for conventionally detailed columns with different longitudinal reinforcement arrangement schemes when subjected to blast loading caused due to a charge mass of 100 kg at scaled distance of 0.8 m/kg1/3 and axial load for the ALR value of 0.35. The Figure-20 shows that there is no significant difference in maximum lateral displacement for different longitudinal reinforcement arrangement schemes. Figure-21 shows displacement time histories for conventionally detailed columns with different longitudinal reinforcement arrangement schemes when subjected to
  • 10. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 08 | Aug 2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 580 blast loading caused due to a charge mass of 250 kg at scaled distance of 0.8 m/kg1/3 and axial load for the ALR value of 0.1. The Figure-21 shows that there is significant difference in maximum lateral displacement for different longitudinal reinforcement arrangement schemes LRAS-1 and LRAS-2 while the difference in maximum displacement between LRAS-1 and LRAS-3 is insignificant. Figure-21: DTHP for conventionally detailed columns at 250 kg charge mass (z= 0.8 m/kg1/3 and ALR = 0.1) Figure-22 shows displacement time histories for conventionally detailed columns with different longitudinal reinforcement arrangement schemes when subjected to blast loading caused due to a charge mass of 250 kg at scaled distance of 0.8 m/kg1/3 and axial load for the ALR value of 0.35. The Figure-22 showsthat there is significantdifference in maximum lateral displacement for different longitudinal reinforcement arrangementschemesLRAS-1andLRAS-2but lower when that compared to for columns at ALR value of 0.1 while the difference in maximum displacement between LRAS-1 and LRAS-3 is insignificant. Figure-22: DTHP for conventionally detailed columns at 250 kg charge mass (z= 0.8 m/kg1/3 and ALR = 0.35) In order to summarize, even if the lateral displacement observed in case of LRAS-1 is the least the reliability of such reinforcement arrangement scheme depends entirelyonthe direction of the incident blast wave. 6 CONCLUSIONS The conclusions drawn from the numerical work presented in this paper are as follows:  Generally, at the same scaled distance, increasing the magnitude of charge masses resulted in increased lateral displacement and much more extensive damage to the RC column, especially at smaller scaled distances. At higher scaled distance, however, the difference in the lateraldisplacements from different charge masses at the same scaled distance was observed to have decreased significantly.  Reduction of transverse reinforcement spacing in RC columns resulted in reduced lateral displacementsat lower scaled distances.Thelateral displacements increased with increasing charge mass at constant scaled distance.  Reduction in transverse reinforcement spacing had insignificant effect on lateral displacement of RC columns at larger scaled distances.  The gravity loads from upper stories on the behaviour of RC columns subjected to blast loading was reduced lateral displacement in general.  At high axial load ratios, RC columns displayedlarge lateral displacement and suffered crushing of concrete and the subsequent buckling of longitudinal reinforcing bars in the mid-region at high blast load levels, especially at low scaled distances.  The lateral displacement of circularRCcolumnswas significantly reduced when thatcomparedtosquare RC columns subjected to blast loading. Reductionin lateral displacement for circular columns was observed in case of both conventionally detailedRC columns as well as RC columns with seismic detailing.  Difference in lateral displacement for RC columns with different longitudinal reinforcement arrangement schemes of was insignificant at low blast load levels while significant change in lateral displacement wasobserved at high blast load levels at low scaled distance.  Longitudinal reinforcement arrangementschemein which equal reinforcement is distributed across all the faces of the column was observed most reliable to resist the effect of blast loading on the column structure.
  • 11. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 08 | Aug 2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 581 REFERENCES [1] Bao, X., and Li, B., 2010, “Residual Strength of Blast Damaged Reinforced Concrete Columns,” Int. J. Impact. Eng., 37(3), pp. 295–308. [2] Conrad, K., and Abass, B., 2017, “Effects of Transverse Reinforcement spacing on the Response of Reinforced Concrete Columns Subjected to Blast Loading,” Eng. Struct., 142, pp. 148–164. [3] FEMA., 2003, Risk Management Series: Reference Manual to Mitigate Potential Terrorist Attack Against Buildings. Federal Emergency Management Agency. [4] El-Dakhakhni, W., Mekky, W., and Changiz-Rezaei, S., 2009, “Vulnerability Screening andCapacityAssessment of Reinforced Concrete Columns Subjected to Blast,” J. Perform. Constr. Facil., 23(5), 353-365. [5] Karlos, V., & Solomos, G., 2013, “Calculation of Blast Loads for Application to Structural Components,” Institute for the Protection and Security of the Citizen, Luxembourg, pp. 55. [6] IS 456:2000., “Indian Standard Plain and Reinforced Concrete - Code of Practice,” Fourth Revision. [7] IS 13920:2016., “Indian Standard Ductile Design and Detailing of Reinforced Concrete StructuresSubjectedto Seismic Forces – Code of Practice,” Fourth Revision. [8] LS-DYNA, M., 2017, “LS-DYNA Keyword User’sManual,” Livermore Software Technology Corporation, Livermore, California. [9] Parisi, F., and Augenti, N., 2012, “Influence of Seismic Design Criteria on Blast Resistance of RC Framed Buildings: A Case Study,” Eng. Struct., 44, pp. 78–93. [10] Siba, F., 2014, “Near-field Explosion Effects on Reinforced Concrete Columns: An Experimental Investigation,” Department of Civil and Environmental Engineering, Carleton University. [11] Tabatabaei, Z. S., and Volz, J. S., 2012, “A Comparison between Three Different Blast Methods in LS-DYNA®: LBE, MM-ALE, Coupling of LBE and MM-ALE,” In the 12th International LS-DYNA User Conference, Michigan, USA. [12] Williams, G., and Williamson, E., 2011, “Response of Reinforced Concrete Bridge Columns Subjected to Blast Loads,” J. Struct. Eng., 137(9), pp. 903–913. [13] Wu, K-C., Li, B., and Tsai, K-C., 2011, “The Effects of Explosive Mass Ratio on Residual CompressiveCapacity of Contact Blast Damaged CompositeColumns,”J.Constr. Steel. Res., 67(4), pp. 602–12. BIOGRAPHIES Mr. Nikhil P. Patil ispostgraduate student in structural engineering program in department of civil engineering at Sanjay Ghodawat Group of Institutions, Atigre, Kolhapur, India Prof. Virupaksh G. Khurd is Assistant Professor in department of civil engineering at Sanjay Ghodawat Group of Institutions, Atigre, Kolhapur, India