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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2478
Behavior of Castellated Beam with Sinusoidal Openings
Rohit Kurlapkar1, D.B. Kulkarni2
1 M. Tech. student, Dept. of Civil-structural Engineering, RIT, Maharashtra, India
2Professor, Dept. of Civil-structural Engineering¸ RIT, Maharashtra, India
---------------------------------------------------------------------***---------------------------------------------------------------------
Abstract - In this study analysis of castellated beam with
sinusoidal opening has been done. Castellated beam has
analyzed using Abaqus software as well as experimentally.
Two-point load test has been conducted and the same loading
has been given in the software. Deflection of beam has been
found using software as well as experimentalworkandresults
are compared.
Key Words: castellated beam, sinusoidal opening, web
opening, steel beam analysis
1. INTRODUCTION
Before castellated beams, I-beamswereusedinconstruction
because they are strong and sturdy way of supporting
houses and other industrial structures. Castellated
beams were developed asstructural channelsto increasethe
beam’s depth of parent I-beam and strength without adding
additional material causing no change in weight.
Since the 1950, because of shortage of steel and increase in
cost of steel castellated beams have been used in the
construction. After study it was found that these beamssave
the cost and also give high strength to weight ratio.
Castellated beams have many advantages over parent I
beam. Castellated beams are light in weight and cheap in
construction. These beams can be easily assembled on site.
Opening in beam gives many advantages. Some of the
advantages are pipes and ducts can be easily passedthrough
these opening. Secondary constructional elementalsocanbe
passed or installed such as ceiling system. Another major
advantage of castellated beams that they are aesthetically
very good. Many architectures prefer the castellated beams
at the position where the beams are clearly visible. For
aesthetic beauty these beams are rated very high. There are
different types of shapes of castellated beams that are
available in the market. Different sections showing
variations in the shape are as below.
Fig- 1: Hexagonal Castellated Beam
Fig -2: Cellular Beam
Fig-3: Sinusoidal Shape Castellated Beam
Fig-4: diamond shape castellated beam
2. MODELING OF CASTELLATED BEAM
Modeling of castellated beam has been done in Abaqus
software. For modeling ISMB 100 Beam has been taken.
Fig-5: Typical Castellated Beam with its Cross Section.
Where,
Do= Depth of opening provided
D=Overall depth of the opening
S= Centre to Centre spacing between the two opening
e= Clear distance between two opening
b= Width of flange of I beam
tf= Thickness of flange of I beam
tw= Thickness of web of I beam
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2479
3. ANALYSIS
Analysis of castellated beam has been done by using abaqus
software.
3.1 ASSEMBLY OF MODEL
It is important to do the assembly of the model in case of
complicated structure. In assembly module create instance
by selecting dependent type. In next step modulecreatestep
to fix analysis as static general which will perform bending
analysis of structure.
3.2 LOADING & BOUNDARY CONDITION
In load module concentrated load has been applied and
boundary conditions have been applied by selecting proper
edges. The model of castellated beam alongwithloadingand
boundary condition is shown in Fig 6
Fig- 6: loading and boundary conditions.
3.3 MESHING OF MODEL
Meshing is the most important parameter in FEM in Abaqus,
it is very important to select proper mesh size and type of
element to get accurate results. In case of castellated beam
select the Quad-dominatedstructuredelement.WhichisS4R
doubly curved shell element, whichwill giveaccurateresults
in case of castellated beam with sinusoidal perforations.
4. FABRICATION OF CASTELLATED BEAM
Castellated beam has been derived from the I beam having
depth 100 mm. the sinusoidal pattern has been created by
using machine i.e. profile cutter. For that first the detailed
drawing has been made. In case of profile cutting, cutting
profile has to draw on software with the real scale. The
machine of profile cut is consisting of two sections. In the
first section, cut profile is scanned by scanner of profile cut
machine and in the second section, as per scanned profile of
cut the simultaneous cutting is done on the other part of
machine.
Fig- 7: Drawing of pattern
5. TEST SETUP
Two-point loading set up is prepared in the laboratory.
Actual set up in the laboratory is shown in the Fig-8 for
sinusoidal shaped castellated beam and to measure the
deflection at central point, dial gauge is attached to lower
flange. The loading is applied by 1000 KN universal testing
machine (UTM).
Fig- 8: Test setup for castellated beam with sinusoidal
opening.
6. RESULTS
Sr.
No.
Deflection
by
Software
Method in
mm
deflection by
Experimental
method in
mm
Difference
in
deflection
in mm
%
Error
1 1.170 1.172 0.002 0.18
1. Failure Load by Von- Misses Criteria=20000N
2. Stress by Von- Misses criteria =229 N/mm2
7. CONCLUSIONS
 From above analysis it is observed that, the
deflection obtained from software result is 1.170
millimeter. While deflection from experimental
result is 1.172 millimeter.
 Percentage variation in above case is almost
negligible, that is 0.18 percent.
 It is observed that, software method can be
applicable for analysis of castellated beams.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2480
ACKNOWLEDGEMENT
I extend my sincerest gratitude to my parents, my Guides,
head of program, head of dept., and my well-wishers who
helped me in all situations whenever needed during this
project completion.
REFERENCES
[1] D. sonck and J. belis, “Lateral–Torsional Buckling
Resistance of Cellular Beams.” Journal of Constructional
Steel Research Vol. 105, pp. 119–128
[2] Durif S. and Bouchair A., “Behaviour of Cellular Beams
with Sinusoidal Openings.” Steel StructuresandBridges,
Vol. 40, pp. 108–113.
[3] Durif S., Bouchair A. and Vassart O., “Experimental and
numerical investigation on web-post specimen from
cellular beams with sinusoidal openings.” Engineering
Structures, Vol. 59, pp. 587–598.
[4] Durif S. and Bouchair A., “Analytical model topredictthe
resistance of cellular beams with sinusoidal openings.”
Journal of Constructional Steel Research, Vol. 121, pp.
80–96.
[5] Ehab Ellobody, “Non-linear analysis of cellular beams
under combined buckling modes.” Thin-Walled
Structures, Vol. 52, pp. 66–79.
[6] Ehab Ellobody, “Interaction of buckling modes in
castellated steel beams.” Journal of Constructional Steel
Research, Vol. 67, pp. 814–825.
[7] Jamadar A. M. and Kumbhar P. D. (2015), “Parametric
study of castellated beam with circular and diamond
shaped openings.” International Research Journal of
Engineering and Technology, Vol.2, pp. 081-084.
[8] K. Daniel Tsadaridis and Cedric D’Mello, “Web buckling
study of the behavior and strength of perforated steel
beams with different novel web opening shapes.”
Journal of Constructional Steel Research Vol. 67, pp.
1605–1620.
[9] L. Budi, Sukamta and W. Partono,“Optimizationanalysis
of size and distance of hexagonal holeincastellatedsteel
beams.” Procedia Engineering, Vol. 171, pp. 1092-1099.
[10] Soltani M. R., Bouchaïr A. and Mimoune M., “Non-linear
analysis of ultimate behaviour of castellated beams.”
Journal of Constructional Steel Research, Vol. 70, pp.
101– 114.
BIOGRAPHIES
Mr. Rohit R. Kurlapkar, PGStudent,
M.Tech, Structural Engineering, at
Rajarambapu Institute of
Technology, Rajaramnagar.
Graduated from Shivaji University,
Kolhapur.
Prof. D.B. Kulkarni is presently
working as Associate Professor at
Rajarambapu Institute of
Technology, Rajaramnagar.

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Analysis of castellated beam with sinusoidal openings

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2478 Behavior of Castellated Beam with Sinusoidal Openings Rohit Kurlapkar1, D.B. Kulkarni2 1 M. Tech. student, Dept. of Civil-structural Engineering, RIT, Maharashtra, India 2Professor, Dept. of Civil-structural Engineering¸ RIT, Maharashtra, India ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract - In this study analysis of castellated beam with sinusoidal opening has been done. Castellated beam has analyzed using Abaqus software as well as experimentally. Two-point load test has been conducted and the same loading has been given in the software. Deflection of beam has been found using software as well as experimentalworkandresults are compared. Key Words: castellated beam, sinusoidal opening, web opening, steel beam analysis 1. INTRODUCTION Before castellated beams, I-beamswereusedinconstruction because they are strong and sturdy way of supporting houses and other industrial structures. Castellated beams were developed asstructural channelsto increasethe beam’s depth of parent I-beam and strength without adding additional material causing no change in weight. Since the 1950, because of shortage of steel and increase in cost of steel castellated beams have been used in the construction. After study it was found that these beamssave the cost and also give high strength to weight ratio. Castellated beams have many advantages over parent I beam. Castellated beams are light in weight and cheap in construction. These beams can be easily assembled on site. Opening in beam gives many advantages. Some of the advantages are pipes and ducts can be easily passedthrough these opening. Secondary constructional elementalsocanbe passed or installed such as ceiling system. Another major advantage of castellated beams that they are aesthetically very good. Many architectures prefer the castellated beams at the position where the beams are clearly visible. For aesthetic beauty these beams are rated very high. There are different types of shapes of castellated beams that are available in the market. Different sections showing variations in the shape are as below. Fig- 1: Hexagonal Castellated Beam Fig -2: Cellular Beam Fig-3: Sinusoidal Shape Castellated Beam Fig-4: diamond shape castellated beam 2. MODELING OF CASTELLATED BEAM Modeling of castellated beam has been done in Abaqus software. For modeling ISMB 100 Beam has been taken. Fig-5: Typical Castellated Beam with its Cross Section. Where, Do= Depth of opening provided D=Overall depth of the opening S= Centre to Centre spacing between the two opening e= Clear distance between two opening b= Width of flange of I beam tf= Thickness of flange of I beam tw= Thickness of web of I beam
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2479 3. ANALYSIS Analysis of castellated beam has been done by using abaqus software. 3.1 ASSEMBLY OF MODEL It is important to do the assembly of the model in case of complicated structure. In assembly module create instance by selecting dependent type. In next step modulecreatestep to fix analysis as static general which will perform bending analysis of structure. 3.2 LOADING & BOUNDARY CONDITION In load module concentrated load has been applied and boundary conditions have been applied by selecting proper edges. The model of castellated beam alongwithloadingand boundary condition is shown in Fig 6 Fig- 6: loading and boundary conditions. 3.3 MESHING OF MODEL Meshing is the most important parameter in FEM in Abaqus, it is very important to select proper mesh size and type of element to get accurate results. In case of castellated beam select the Quad-dominatedstructuredelement.WhichisS4R doubly curved shell element, whichwill giveaccurateresults in case of castellated beam with sinusoidal perforations. 4. FABRICATION OF CASTELLATED BEAM Castellated beam has been derived from the I beam having depth 100 mm. the sinusoidal pattern has been created by using machine i.e. profile cutter. For that first the detailed drawing has been made. In case of profile cutting, cutting profile has to draw on software with the real scale. The machine of profile cut is consisting of two sections. In the first section, cut profile is scanned by scanner of profile cut machine and in the second section, as per scanned profile of cut the simultaneous cutting is done on the other part of machine. Fig- 7: Drawing of pattern 5. TEST SETUP Two-point loading set up is prepared in the laboratory. Actual set up in the laboratory is shown in the Fig-8 for sinusoidal shaped castellated beam and to measure the deflection at central point, dial gauge is attached to lower flange. The loading is applied by 1000 KN universal testing machine (UTM). Fig- 8: Test setup for castellated beam with sinusoidal opening. 6. RESULTS Sr. No. Deflection by Software Method in mm deflection by Experimental method in mm Difference in deflection in mm % Error 1 1.170 1.172 0.002 0.18 1. Failure Load by Von- Misses Criteria=20000N 2. Stress by Von- Misses criteria =229 N/mm2 7. CONCLUSIONS  From above analysis it is observed that, the deflection obtained from software result is 1.170 millimeter. While deflection from experimental result is 1.172 millimeter.  Percentage variation in above case is almost negligible, that is 0.18 percent.  It is observed that, software method can be applicable for analysis of castellated beams.
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2480 ACKNOWLEDGEMENT I extend my sincerest gratitude to my parents, my Guides, head of program, head of dept., and my well-wishers who helped me in all situations whenever needed during this project completion. REFERENCES [1] D. sonck and J. belis, “Lateral–Torsional Buckling Resistance of Cellular Beams.” Journal of Constructional Steel Research Vol. 105, pp. 119–128 [2] Durif S. and Bouchair A., “Behaviour of Cellular Beams with Sinusoidal Openings.” Steel StructuresandBridges, Vol. 40, pp. 108–113. [3] Durif S., Bouchair A. and Vassart O., “Experimental and numerical investigation on web-post specimen from cellular beams with sinusoidal openings.” Engineering Structures, Vol. 59, pp. 587–598. [4] Durif S. and Bouchair A., “Analytical model topredictthe resistance of cellular beams with sinusoidal openings.” Journal of Constructional Steel Research, Vol. 121, pp. 80–96. [5] Ehab Ellobody, “Non-linear analysis of cellular beams under combined buckling modes.” Thin-Walled Structures, Vol. 52, pp. 66–79. [6] Ehab Ellobody, “Interaction of buckling modes in castellated steel beams.” Journal of Constructional Steel Research, Vol. 67, pp. 814–825. [7] Jamadar A. M. and Kumbhar P. D. (2015), “Parametric study of castellated beam with circular and diamond shaped openings.” International Research Journal of Engineering and Technology, Vol.2, pp. 081-084. [8] K. Daniel Tsadaridis and Cedric D’Mello, “Web buckling study of the behavior and strength of perforated steel beams with different novel web opening shapes.” Journal of Constructional Steel Research Vol. 67, pp. 1605–1620. [9] L. Budi, Sukamta and W. Partono,“Optimizationanalysis of size and distance of hexagonal holeincastellatedsteel beams.” Procedia Engineering, Vol. 171, pp. 1092-1099. [10] Soltani M. R., Bouchaïr A. and Mimoune M., “Non-linear analysis of ultimate behaviour of castellated beams.” Journal of Constructional Steel Research, Vol. 70, pp. 101– 114. BIOGRAPHIES Mr. Rohit R. Kurlapkar, PGStudent, M.Tech, Structural Engineering, at Rajarambapu Institute of Technology, Rajaramnagar. Graduated from Shivaji University, Kolhapur. Prof. D.B. Kulkarni is presently working as Associate Professor at Rajarambapu Institute of Technology, Rajaramnagar.