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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 4460
Linear Buckling Analysis of Cylindrical Steel Silos with V Type Stiffener
under Wind Load
Vishnu M Nair1, Lekshmi Priya R2
1M-tech, Sree Narayana Institute of Technology, Adoor, Pathanamthitta, Kerala, India
vishnumnair20@gmail.com
2Assistant Professor, Sree Narayana Institute of Technology, Adoor, Pathanamthitta, Kerala, India
priya.25a84@gmail.com@gmail.com
---------------------------------------------------------------------***---------------------------------------------------------------------
Abstract - Large cylindrical steel silos are typical kinds of
thin-walled structures that are widely used to store large
quantities of granular solids, cement, coaletcintheindustrial
andagriculturalsectors.Silosareimportantstoragestructure
in an industry. Since these structures are thin walled and tall,
this structures are easily affected under windandhencestudy
on the buckling of this structures under wind load is must. In
this Project three stiffened models were prepared. The
preparedmodelbelongedtoslender,intermediateslenderand
squat categories.
The linear buckling analysis of these stiffened models under
wind load was done. The deformationandloadmultiplication
factor obtained in the silos during filling load are studied.
Based on the results the stiffened models are compared. The
modelling and analysis were done using the software ANSYS
R15.0 and the results were noted.
Key Words: silos, thin walled, wind, stiffened, load
multiplication factor, buckling
1. INTRODUCTION
Cylindrical steel silos are thin-walled structures that are
widely used to store large quantities of granularsolidsinthe
industrial and agricultural sectors. They are used to store
bulk materials like cement, coal, wheat etc .The diameter of
Cylindrical steel silos varies from 3 to 27mandheightvaries
from 10 to 90 m.A cylindrical steel silo with a largediameter
to thickness ratio is particularly vulnerable to buckling
during filling of the silo. Filling load induced collapse has
been found to result in the most catastrophic structural
failures among major natural hazards such as hurricanes,
earthquakes, flooding, snowfall, etc. The variation in height
to diameter ratio has a significant influence on the relative
magnitude and distribution of solid pressures placed on the
internal surface .Ordinary steel silos without any stiffener
are prone to buckling under the filling load. The filling load
acting on the silo is calculated using equations fromthecode
EN 1991.4.2006. Three models were prepared with Vtype
stiffener. This models belonged to categories of slender,
intermediate slender and squat silos. Linear buckling
analysis gives load multiplication factor. This factor can be
multiplied with the corresponding design loads to obtain
buckling load. The main novelties of this paper would be
summarized as follows:
1. Conducting linear buckling analysis of the
prepared models.
2. Comparing the models
2. DESIGN
It is worth noting that a buckling analysis of the limit state of
silos depends heavily on the following working conditions:
the action assessment class (Table 2.1, EN1991-4 [1]); the
fabrication tolerance quality class (Table 5.1, EN1993-4-1
[2]); the consequence class(Table 2.1, EN1993-4-1 [2]),
which considers effects of silo capacities, support patterns,
and eccentricity during filling and discharge and weld
imperfection of silo wall, as appropriate. In this study the
models belongs to action assessment class 1,the fabrication
tolerance quality is Q=16,the consequence class is 2 and the
wall surface class as D1.
3. STIFFENERS
Two types of stiffeners are used vertical stiffener and
circumferential stiffener. The vertical stiffenerselectedis a V
type stiffener adopted from euro code and the
circumferential stiffener from IS 9178 -2(1979).The details
of V type stiffener and circumferential stiffenerareprovided
below
Fig -1: V type stiffener
The cross sectional details of the vertical V type stiffener
used is given in the following table. The selected V type
stiffener has a thickness of 5mm.
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 4461
Table -1: Vertical stiffener details
The circumferential stiffener details is provided below. The
width of this type stiffener is provided here is 100 mm. The
spacing provided is 1500mm.The thickness provided varies
for each model.
Table -2: Circumferential stiffener details
Model Width(mm) Thickness(mm) Spacing
S1 100 50 1500
S2 100 50 1500
S3 100 65 1500
4. SOFTWARE
The software used for modelling and analysis was ANSYS
R15.0.ANSYS was selected since the software is capable of
solving complex structural engineering problems more
effectively and complex models can be completed usingthis.
5. MODELLING
Three models were prepared of varying height to diameter
ratios and belonging to slender, intermediate slender and
squat categories. The modellingwasdoneusingthesoftware
ANSYS R15.0.The geometrical detailsofthepreparedmodels
is given in the below table.
Table -3: Models geometrical details
Model
Name
Height
H(m)
Diameter
D(m)
H/D Thickness(mm)
S1 25 10 2.5 50
S2 18 12 1.5 50
S3 12 15 0.8 65
The S1 model has a H/D ratio as 2.5 hencebelongstoslender
silos category,S2 has a H/D as 1.5 and belongs to
intermediate slender silo category and S3 has a H/D ratio as
0.8 and belongs to squat silos categories. This classification
is based on the the European code for design of silos.
Fig -2:.S1
Fig -3:.S2
Fig -4: S3
The above figures named S1,S2 and S3 are the models
prepared. The models is stiffened using V type vertical
Cross section V5 (mm)
L1 125
L2 89
L3 35
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 4462
stiffener and circumferentially stiffened also. The details of
the stiffener is provided above.
The above figures named S1,S2 and S3 are the models
prepared. The models is stiffened using V type vertical
stiffener and circumferentially stiffened also. The details of
the stiffener is provided above.
6. ANALYSIS
The wind loads for the analysis were calculated from
European code. The analysis was done using the finite
element software ANSYS R15.0 .Linear Buckling analysis
(LBA) is carried out for the designed filling loads and the
load.
Fig -5: Analysed model S1
Fig -6: Analysed model S2
Fig -7:.Analysed model S3
The above figure 5,6 and 7 shows the analysed model under
filling load. The above model were done linear buckling
analysis.
7. RESULTS AND DISCUSSIONS
After conducting the linear buckling analysis the load
multiplier were obtained for each models. The model S3 has
the highest load multiplier. After S3 the next model having
the high load multiplier is S2.S3 has the least loadmultiplier.
The model S1 has the highest deformation compared to
other two models.
Table -4: RESULT
Model name Load multiplier Deformation
max(mm)
S1 458.2 1.1584
S2 503.7 1.0141
S3 763.29 1.0161
.
The above table shows the obtained results after conducting
linear buckling analysis.
8. CONCLUSION
After conducting linear buckling analysis the model S3 has
the highest load multiplier followed by S2 and then S1.This
suggests that the model S3 which belongs to the squat silos
categories has more buckling resistance under wind load
due to its high load multiplier. Hence it would be better to
use squat silos for storing bulk materials. Also between
models S2 and S1 model S2 is slightly better which belongs
to intermediate slender silo category. So between slender
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 4463
and intermediate slender its better to use intermediate
slender silos for storing bulk materials since it has greater
resistance against wind.
Also among the three models the model S3 has less
deformation compared to the other two model, this showsit
has buckled less under the wind load. So overall model S3 is
safe and has more resistance against buckling. When it
comes in case of volume the model S1 has the least volume
hence less materials required.
ACKNOWLEDGMENT
The Author(s) wish to express their special gratitude to Dr.
P. G. Bhaskaran Nair, PG Dean, Sree Narayana Institute of
Technology, Adoor, Above all the author(s) thank GOD
almighty for his grace throughout the work
REFERENCES
[1] M. Pircher, Medium-length thin-walled cylinder under
windloading-case study, J.Struct. Eng. ASCE 130 (12)
,2004
[2] Qing Shuia Cao,Yang Zhao“Wind induced buckling of
large circular steel silos with various
slenderness”Elsevier,2018
[3] Swapnil Kadam “Behavior of Circular RCC Silo under
Earthquake Forces” IJSART-Vol 2,Issue 8,2018
[4] Christoph Butenweg , Julia Rosin and Stefan Holler
“Analysis of Cylindrical Granular Material Silos under
Seismic Excitation”MDPI,2017
[5] Mateusz Sondez,Michael Wojcik “Critical Assessmentof
Eurocode Approach to stability of Metal cylindrical
Silos with corrugated walls” Elsevier,2015
[6] IS 875 PART III
[7] IS:9178(Part 1)-1979

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Buckling Analysis of Steel Silos with Stiffeners under Wind Load

  • 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 4460 Linear Buckling Analysis of Cylindrical Steel Silos with V Type Stiffener under Wind Load Vishnu M Nair1, Lekshmi Priya R2 1M-tech, Sree Narayana Institute of Technology, Adoor, Pathanamthitta, Kerala, India vishnumnair20@gmail.com 2Assistant Professor, Sree Narayana Institute of Technology, Adoor, Pathanamthitta, Kerala, India priya.25a84@gmail.com@gmail.com ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract - Large cylindrical steel silos are typical kinds of thin-walled structures that are widely used to store large quantities of granular solids, cement, coaletcintheindustrial andagriculturalsectors.Silosareimportantstoragestructure in an industry. Since these structures are thin walled and tall, this structures are easily affected under windandhencestudy on the buckling of this structures under wind load is must. In this Project three stiffened models were prepared. The preparedmodelbelongedtoslender,intermediateslenderand squat categories. The linear buckling analysis of these stiffened models under wind load was done. The deformationandloadmultiplication factor obtained in the silos during filling load are studied. Based on the results the stiffened models are compared. The modelling and analysis were done using the software ANSYS R15.0 and the results were noted. Key Words: silos, thin walled, wind, stiffened, load multiplication factor, buckling 1. INTRODUCTION Cylindrical steel silos are thin-walled structures that are widely used to store large quantities of granularsolidsinthe industrial and agricultural sectors. They are used to store bulk materials like cement, coal, wheat etc .The diameter of Cylindrical steel silos varies from 3 to 27mandheightvaries from 10 to 90 m.A cylindrical steel silo with a largediameter to thickness ratio is particularly vulnerable to buckling during filling of the silo. Filling load induced collapse has been found to result in the most catastrophic structural failures among major natural hazards such as hurricanes, earthquakes, flooding, snowfall, etc. The variation in height to diameter ratio has a significant influence on the relative magnitude and distribution of solid pressures placed on the internal surface .Ordinary steel silos without any stiffener are prone to buckling under the filling load. The filling load acting on the silo is calculated using equations fromthecode EN 1991.4.2006. Three models were prepared with Vtype stiffener. This models belonged to categories of slender, intermediate slender and squat silos. Linear buckling analysis gives load multiplication factor. This factor can be multiplied with the corresponding design loads to obtain buckling load. The main novelties of this paper would be summarized as follows: 1. Conducting linear buckling analysis of the prepared models. 2. Comparing the models 2. DESIGN It is worth noting that a buckling analysis of the limit state of silos depends heavily on the following working conditions: the action assessment class (Table 2.1, EN1991-4 [1]); the fabrication tolerance quality class (Table 5.1, EN1993-4-1 [2]); the consequence class(Table 2.1, EN1993-4-1 [2]), which considers effects of silo capacities, support patterns, and eccentricity during filling and discharge and weld imperfection of silo wall, as appropriate. In this study the models belongs to action assessment class 1,the fabrication tolerance quality is Q=16,the consequence class is 2 and the wall surface class as D1. 3. STIFFENERS Two types of stiffeners are used vertical stiffener and circumferential stiffener. The vertical stiffenerselectedis a V type stiffener adopted from euro code and the circumferential stiffener from IS 9178 -2(1979).The details of V type stiffener and circumferential stiffenerareprovided below Fig -1: V type stiffener The cross sectional details of the vertical V type stiffener used is given in the following table. The selected V type stiffener has a thickness of 5mm.
  • 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 4461 Table -1: Vertical stiffener details The circumferential stiffener details is provided below. The width of this type stiffener is provided here is 100 mm. The spacing provided is 1500mm.The thickness provided varies for each model. Table -2: Circumferential stiffener details Model Width(mm) Thickness(mm) Spacing S1 100 50 1500 S2 100 50 1500 S3 100 65 1500 4. SOFTWARE The software used for modelling and analysis was ANSYS R15.0.ANSYS was selected since the software is capable of solving complex structural engineering problems more effectively and complex models can be completed usingthis. 5. MODELLING Three models were prepared of varying height to diameter ratios and belonging to slender, intermediate slender and squat categories. The modellingwasdoneusingthesoftware ANSYS R15.0.The geometrical detailsofthepreparedmodels is given in the below table. Table -3: Models geometrical details Model Name Height H(m) Diameter D(m) H/D Thickness(mm) S1 25 10 2.5 50 S2 18 12 1.5 50 S3 12 15 0.8 65 The S1 model has a H/D ratio as 2.5 hencebelongstoslender silos category,S2 has a H/D as 1.5 and belongs to intermediate slender silo category and S3 has a H/D ratio as 0.8 and belongs to squat silos categories. This classification is based on the the European code for design of silos. Fig -2:.S1 Fig -3:.S2 Fig -4: S3 The above figures named S1,S2 and S3 are the models prepared. The models is stiffened using V type vertical Cross section V5 (mm) L1 125 L2 89 L3 35
  • 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 4462 stiffener and circumferentially stiffened also. The details of the stiffener is provided above. The above figures named S1,S2 and S3 are the models prepared. The models is stiffened using V type vertical stiffener and circumferentially stiffened also. The details of the stiffener is provided above. 6. ANALYSIS The wind loads for the analysis were calculated from European code. The analysis was done using the finite element software ANSYS R15.0 .Linear Buckling analysis (LBA) is carried out for the designed filling loads and the load. Fig -5: Analysed model S1 Fig -6: Analysed model S2 Fig -7:.Analysed model S3 The above figure 5,6 and 7 shows the analysed model under filling load. The above model were done linear buckling analysis. 7. RESULTS AND DISCUSSIONS After conducting the linear buckling analysis the load multiplier were obtained for each models. The model S3 has the highest load multiplier. After S3 the next model having the high load multiplier is S2.S3 has the least loadmultiplier. The model S1 has the highest deformation compared to other two models. Table -4: RESULT Model name Load multiplier Deformation max(mm) S1 458.2 1.1584 S2 503.7 1.0141 S3 763.29 1.0161 . The above table shows the obtained results after conducting linear buckling analysis. 8. CONCLUSION After conducting linear buckling analysis the model S3 has the highest load multiplier followed by S2 and then S1.This suggests that the model S3 which belongs to the squat silos categories has more buckling resistance under wind load due to its high load multiplier. Hence it would be better to use squat silos for storing bulk materials. Also between models S2 and S1 model S2 is slightly better which belongs to intermediate slender silo category. So between slender
  • 4. 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 4463 and intermediate slender its better to use intermediate slender silos for storing bulk materials since it has greater resistance against wind. Also among the three models the model S3 has less deformation compared to the other two model, this showsit has buckled less under the wind load. So overall model S3 is safe and has more resistance against buckling. When it comes in case of volume the model S1 has the least volume hence less materials required. ACKNOWLEDGMENT The Author(s) wish to express their special gratitude to Dr. P. G. Bhaskaran Nair, PG Dean, Sree Narayana Institute of Technology, Adoor, Above all the author(s) thank GOD almighty for his grace throughout the work REFERENCES [1] M. Pircher, Medium-length thin-walled cylinder under windloading-case study, J.Struct. Eng. ASCE 130 (12) ,2004 [2] Qing Shuia Cao,Yang Zhao“Wind induced buckling of large circular steel silos with various slenderness”Elsevier,2018 [3] Swapnil Kadam “Behavior of Circular RCC Silo under Earthquake Forces” IJSART-Vol 2,Issue 8,2018 [4] Christoph Butenweg , Julia Rosin and Stefan Holler “Analysis of Cylindrical Granular Material Silos under Seismic Excitation”MDPI,2017 [5] Mateusz Sondez,Michael Wojcik “Critical Assessmentof Eurocode Approach to stability of Metal cylindrical Silos with corrugated walls” Elsevier,2015 [6] IS 875 PART III [7] IS:9178(Part 1)-1979