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International Journal of Trend in Scientific Research and Development (IJTSRD)
Volume 6 Issue 1, November-December 2021 Available Online: www.ijtsrd.com e-ISSN: 2456 – 6470
@ IJTSRD | Unique Paper ID – IJTSRD47811 | Volume – 6 | Issue – 1 | Nov-Dec 2021 Page 485
Effect of Perforation in Channel Section for
Resistibility against Shear Buckling
Ram Raj Raghuwanshi1
, Abhay Kumar Jha2
1
M Tech Scholar, 2
Associate Professor,
1,2
Laxmi Narayan College of Technology, Indore, Madhya Pradesh, India
ABSTRACT
The steel structure have maximum complexity in designing against
load bearing capacity as well as stability to withstand under different
types of stresses, thus several types of sections were proposed to
enhance stability under variable kind of loads, further channel section
and I – sections have maximum capability to resist maximum stress
and loads in different conditions. In present investigation analysis is
performed on ABAQUS to identify the strength ability during unity
load with shear buckling evaluation by performing simulation of
shear buckling prediction using ABAQUS/FEM package in channel
section with different shape hole in web i.e. circular, elliptical,
hexagonal, pentagonal and rhombus, the parameters and results were
validated from present previous research work present in literature,
these different hole profiles in channel section are investigated for
shear stress, deformation, eigen value/shear force, reaction force and
shear buckling coefficient. Thus, minimum shear stress is found in
hexagonal hole profiled channel section with respect to different hole
diameter, IS 808 – 1989 was considered for design of channel
section.
KEYWORDS: Shear buckling coefficient (Kv), Eigen value/Shear
force, Shear Stress, Vonmises Stress, Reaction force, Displacement,
Channel Section
How to cite this paper: Ram Raj
Raghuwanshi | Abhay Kumar Jha
"Effect of Perforation in Channel
Section for Resistibility against Shear
Buckling" Published in International
Journal of Trend in
Scientific Research
and Development
(ijtsrd), ISSN:
2456-6470,
Volume-6 | Issue-1,
December 2021,
pp.485-493, URL:
www.ijtsrd.com/papers/ijtsrd47811.pdf
Copyright © 2021 by author(s) and
International Journal of Trend in
Scientific Research and Development
Journal. This is an
Open Access article
distributed under the
terms of the Creative Commons
Attribution License (CC BY 4.0)
(http://creativecommons.org/licenses/by/4.0)
1. INTRODUCTION
In structural engineering, buckling is the sudden trade
between structure (deformation) of a structural
component under load, such as like the bowing on a
column beneath compression then the wrinkling of a
pebble underneath shear. If a shape is subjected in
imitation of a regularly growing load, then the lay
reaches a vital level, a feature might also change
structure then the shape and factor is pronounced in
conformity with have buckled.[2] Euler's essential
burden then Johnson's parabolic components are aged
in imitation of decide the buckling accent of slender
columns.
Figure 1.1 – Schematic of Buckling
1.1. Shear Buckling
Thin steel plates are commonly used as structural
elements in buildings, bridges, towers, aircrafts, etc.
Due to their slenderness, these plates are susceptible
to buckling under shear loading, thus limiting their
capacity. The recent research shows that many
existing models do not represent the true mechanics
of ultimate shear buckling. This project will
investigate and advance the knowledge of shear
buckling response, thus leading to improved
economy, durability, and safety of structures that use
thin plates.
Figure 1.2 – Schematic of Shear Buckling
IJTSRD47811
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD47811 | Volume – 6 | Issue – 1 | Nov-Dec 2021 Page 486
The overall goal regarding this undertaking is in
conformity with comprehensively investigate the
mechanics over shear buckling conduct into metal
plates, consequentlylead to (a) new predictive models
to that amount seize the authentic mechanics, and (b)
plan adjustments up to expectation expand economy,
robustness, or life-cycle performance. The lookup
diagram entails both nonlinear finite element studies
then pilot tests. A detailed exam on the accent
patterns or lay redistribution beside the sprightly
buckling stage after the remaining post buckling
capacity wish stay the primary focus. Physical checks
pleasure discover new panel configurations, or
brawny cloth optimizations choice be identified
primarily based of perfect issue mechanics studies.
Experiments have been conducted using services at
Lehigh University in accordance with look at the
obtruncate buckling performance concerning steel
plate girder specimens, both with or without bending
moment. The data out of it tests have been back after
directly validate the computational modeling
approaches.
Methodology
1.2. Steps to be followed
To achieve the objective of proposed dissertation
work following steps is going to be followed:
Literature survey and problem identification.
Study of section of steel (Channel section).
Selection of working material and section.
Study of shear buckling coefficient of channel
section with different hole profiles.
Validation of FEM model through numerically
measured output parameters at unit load in
channel section.
To simulate shear buckling modes in channel
section to predict shear stresses and deformation.
Finding the effective optimized design in channel
section.
Comparison of results and conclusion.
Report preparation.
1.3. Finite Element Analysis (FEA)
FEA stands for Finite Element Analysis and as the
name suggest the methodology involves the analysis
of finite elements. The whole model is divided into
number of finite elements and then all the forces and
boundary conditions are applied on these finite
elements, and then the results of all these finite
elements are combined together to give the output of
whole model. For example if a line is representing a
beam and we have to analyze that beam as a
cantilever then FEA will divide this line representing
a beam into number of small segments known as
element. Then the effect of boundary condition and
forces is studied on each segment and the resultant
output is the summation of each segment. FEA
analysis can help engineers to analyze complicated
models. With the development of computer systems
FEA has increased to gain importance, since it saves
time and money both.
1.4. Steps for the shear buckling analysis
Shear buckling analysis have been carried out by
using ABAQUS/FEM.
1. First of all the model i.e the channel section
structure are modelled using ABAQUS modeling
domain.
2. This model is then proceeded for analysis to the
ABAQUS.
3. Meshing (discreatization) of the solid model
(channel section) is generated by using the
meshing function of the ABAQUS finite element
solver package.
4. Then boundary conditions are applied to the
model and solved for shear buckling modes, shear
stresses and deformation.
5. Shear buckling stress is analyzed in channel
section and plate (Validation model).
1.5. Boundary Condition
Load
1. Load unity is defined.
2. Simply supported effect is imposed at both the
ends of channel section.
Figure 1 – Boundary condition (unity load
definition)
Figure 2 - Boundary condition (simply support
definition)
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD47811 | Volume – 6 | Issue – 1 | Nov-Dec 2021 Page 487
Meshing details
1. Element type -3D solid element
2. Type of mesh - (Quadrahedral mesh)
3. Number of element- 2497
4. Number of nodes- 5057
Figure 3 – Element type definition in channel
section
1.6. Results
Governing parameters and their effect
From the literature review it is observed that, shear
buckling coefficient of channel sectionis based on
following input and output parameters:
Table1: Related input and output parameters
Input Parameters
Unit load
Simply support
Buckling prediction
Output Parameters
Critical buckling coefficient (Kv)
Shear stress (Mpa)
Deformation (mm)
Vonmises stress (Mpa)
Eigen value/Shear force
Reaction force
Validation of present existing experimental model:
In order to validate the existing numerical model of
the channel section this is used in order to analyze the
shear buckling coefficient for the structure modeled in
ABAQUS. The shear stress, reaction force, eigen
value/shear force and deformation of the channel
section without hole (validation model) of the
validation results is represents below.
Table 2: Validation results for channel section
(Validation)
Thickness
(mm)
Eigen Value/
Shear Force
(Validation)
Shear
Stress
(Mpa)
(Validation)
Shear Buckling
Coefficient
(Kv)
(Validation)
Vonmises
stress
(Mpa)
(Validation)
Reaction
Force
(Validation)
Displacement
(mm)
(Validation)
1.5 187.18 20.19 9.8 102.1 595.3 1.22
1.4 225.11 19.66 9.3 98.58 583.7 1.19
1.3 397.94 18.61 8.6 97.33 578.2 1.12
1.2 457.35 16.56 7.9 93.63 573.4 9.8
Simulation results obtained for channel section in ABAQUS/FEM for different modes of shear buckling
withvonmises stress, reaction force, shear stress, eigen value/shear force and deformation are represented
below:
Modes of buckling for channel section:
Figure 4 – Mode shape of shear buckling for channel section (Validation)
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD47811 | Volume – 6 | Issue – 1 | Nov-Dec 2021 Page 488
Figure 5 – Mode shape of shear buckling for channel section (Validation)
Figure 6 – Mode shape of shear buckling for channel section (Validation)
Figure 7 – Mode shape of shear buckling for channel section (Validation)
Simulation results obtained for channel section in ABAQUS/FEM for different output parameters are
represented below:
Figure 8 – Shear stress for channel section (Validation)
Figure 9 – Vonmises stress for channel section (Validation)
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD47811 | Volume – 6 | Issue – 1 | Nov-Dec 2021 Page 489
Figure 9 – Reaction force for channel section (Validation)
Figure 10 – Deformation for channel section (Validation)
Overall comparison of output parameters for channel section with circular, elliptical, hexagonal,
pentagonal, rhombus shaped hole in web are shown below:
Figure 11 – Overall comparison of shear stress (MPa) with respect to hole diameter
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD47811 | Volume – 6 | Issue – 1 | Nov-Dec 2021 Page 490
Figure 12 – Overall comparison of shear buckling coefficient (Kv) with respect to hole diameter
Figure 13 – Overall comparison of vonmises stress (MPa) with respect to hole diameter
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD47811 | Volume – 6 | Issue – 1 | Nov-Dec 2021 Page 491
Figure 14 – Overall comparison of eigen value/shear force with respect to hole diameter
Figure 15 – Overall comparison of reaction force (N) with respect to hole diameter
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD47811 | Volume – 6 | Issue – 1 | Nov-Dec 2021 Page 492
Figure 16 – Overall comparison of displacement (mm) with respect to hole diameter
Conclusion
1. The FEM model was developed on ABAQUS
(CAD model domain) and analysis was done by
ABAQUS (structural domain).
2. The prediction of FEM model shows good
relation with previous research work present in
literature.
3. The internal consistency of the results confirms
the validity of the FEM model.
4. The shear forces are found to be minimum as
increase in hole diameter in channel section
profile at certain limit.
5. The eigen value/shear force is found to be
increased after 20 mm of hole diameter, thus hole
diameter should persist between 20 to 30mm
diameter for optimum resistance against shear
stress.
6. Minimum shear stress is found in channel section
with hexagonal hole profile in web with different
hole diameters.
7. The deformation is predicted less in hexagonal
hole profile as compared to other configurations.
8. Shear buckling coefficient is minimum for
hexagonal hole profile channel section as
compared to other shape hole profiles.
9. Channel section with elliptical and pentagonal
hole profiles also represents good agreement in
shear stress and critical buckling coefficient.
References
[1] ShenggangFan et al. “Experimental study and
numerical simulation analysis of distortional
buckling capacity of stainless steel lipped C-
section beams”, Engineering Structures Volume
250, 1 January 2022, 113428
[2] ShuaiLi et al. “Global buckling and design of
hot-rolled stainless steel channel section beam–
columns”, Thin-Walled Structures Volume
170, January 2022, 108433
[3] ShuaiLi et al. “Experimental and numerical
investigations of hot-rolled stainless steel
channel section columns susceptible to flexural
buckling”, Thin-Walled Structures Volume
164, July 2021, 107791
[4] ShuaiLi et al. “Experimental and numerical
investigations of hot-rolled stainless steel
channel section columns susceptible to flexural
buckling”, Thin-Walled Structures Volume
164, July 2021, 107791
[5] AmrShaat et al. “Effect of web stiffeners on the
lateral distortional buckling of channel section
with hollow flanges”, Ain Shams Engineering
Journal Available online 1 July 2021
[6] KrishanuRoy et al. “Local and distortional
buckling behaviour of back-to-back built-up
aluminium alloy channel section columns”,
Thin-Walled Structures Volume 163, June
2021, 107713
[7] YiwenWu et al. “Research on distortional
buckling capacity of stainless steel lipped C-
section beams”, Thin-Walled Structures
Volume 169, December 2021, 108453
[8] KazuhiroHayashi et al. “Full-scale testing of
naturally buckling steel braces and evaluation of
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD47811 | Volume – 6 | Issue – 1 | Nov-Dec 2021 Page 493
partiallyrib-strengthened sections to cumulative
damage”, Soil Dynamics and Earthquake
Engineering Volume 147, August 2021, 106611
[9] Linh T.M.Phi et al. “Buckling analysis of open-
section beams with thin-walled functionally
graded materials along the contour direction”,
European Journal of Mechanics - A/Solids
Volume 88, July–August 2021, 104217
[10] ZbigniewKolakowski et al. “Local buckling
behaviour and capacities of Cold-Formed Steel
Double-I-Box stub and short column sections”,
Structures Volume 34, December 2021, Pages
1761-1784
[11] SihaoWang et al. “Elastic critical shear buckling
stress of large-scale corrugated steel web used
in bridge girders”, Engineering Structures
Volume 244, 1 October 2021, 112757
[12] ShengJin et al. “Constrained shell finite element
method of modal buckling analysis for thin-
walled members with curved cross-sections”,
Engineering Structures Volume 240, 1 August
2021, 112281
[13] ChongRen et al. “Experimental study and
numerical simulation analysis of distortional
buckling capacity of stainless steel lipped C-
section beams”, Structures Volume
34, December 2021, Pages 2262-2275
[14] Le Anh ThiHuynh et al. “Distortional buckling
behaviour and strength of cold-rolled
aluminium alloy beams”, Journal of
Constructional Steel Research Volume
187, December 2021, 106980
[15] LuluZhang et al. “Press-braked stainless steel
channel section columns failing by flexural
buckling: Testing, numerical simulation and
design”, Thin-Walled Structures Volume
157, December 2020, 107066

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Effect of Perforation in Channel Section for Resistibility against Shear Buckling

  • 1. International Journal of Trend in Scientific Research and Development (IJTSRD) Volume 6 Issue 1, November-December 2021 Available Online: www.ijtsrd.com e-ISSN: 2456 – 6470 @ IJTSRD | Unique Paper ID – IJTSRD47811 | Volume – 6 | Issue – 1 | Nov-Dec 2021 Page 485 Effect of Perforation in Channel Section for Resistibility against Shear Buckling Ram Raj Raghuwanshi1 , Abhay Kumar Jha2 1 M Tech Scholar, 2 Associate Professor, 1,2 Laxmi Narayan College of Technology, Indore, Madhya Pradesh, India ABSTRACT The steel structure have maximum complexity in designing against load bearing capacity as well as stability to withstand under different types of stresses, thus several types of sections were proposed to enhance stability under variable kind of loads, further channel section and I – sections have maximum capability to resist maximum stress and loads in different conditions. In present investigation analysis is performed on ABAQUS to identify the strength ability during unity load with shear buckling evaluation by performing simulation of shear buckling prediction using ABAQUS/FEM package in channel section with different shape hole in web i.e. circular, elliptical, hexagonal, pentagonal and rhombus, the parameters and results were validated from present previous research work present in literature, these different hole profiles in channel section are investigated for shear stress, deformation, eigen value/shear force, reaction force and shear buckling coefficient. Thus, minimum shear stress is found in hexagonal hole profiled channel section with respect to different hole diameter, IS 808 – 1989 was considered for design of channel section. KEYWORDS: Shear buckling coefficient (Kv), Eigen value/Shear force, Shear Stress, Vonmises Stress, Reaction force, Displacement, Channel Section How to cite this paper: Ram Raj Raghuwanshi | Abhay Kumar Jha "Effect of Perforation in Channel Section for Resistibility against Shear Buckling" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-6 | Issue-1, December 2021, pp.485-493, URL: www.ijtsrd.com/papers/ijtsrd47811.pdf Copyright © 2021 by author(s) and International Journal of Trend in Scientific Research and Development Journal. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0) (http://creativecommons.org/licenses/by/4.0) 1. INTRODUCTION In structural engineering, buckling is the sudden trade between structure (deformation) of a structural component under load, such as like the bowing on a column beneath compression then the wrinkling of a pebble underneath shear. If a shape is subjected in imitation of a regularly growing load, then the lay reaches a vital level, a feature might also change structure then the shape and factor is pronounced in conformity with have buckled.[2] Euler's essential burden then Johnson's parabolic components are aged in imitation of decide the buckling accent of slender columns. Figure 1.1 – Schematic of Buckling 1.1. Shear Buckling Thin steel plates are commonly used as structural elements in buildings, bridges, towers, aircrafts, etc. Due to their slenderness, these plates are susceptible to buckling under shear loading, thus limiting their capacity. The recent research shows that many existing models do not represent the true mechanics of ultimate shear buckling. This project will investigate and advance the knowledge of shear buckling response, thus leading to improved economy, durability, and safety of structures that use thin plates. Figure 1.2 – Schematic of Shear Buckling IJTSRD47811
  • 2. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD47811 | Volume – 6 | Issue – 1 | Nov-Dec 2021 Page 486 The overall goal regarding this undertaking is in conformity with comprehensively investigate the mechanics over shear buckling conduct into metal plates, consequentlylead to (a) new predictive models to that amount seize the authentic mechanics, and (b) plan adjustments up to expectation expand economy, robustness, or life-cycle performance. The lookup diagram entails both nonlinear finite element studies then pilot tests. A detailed exam on the accent patterns or lay redistribution beside the sprightly buckling stage after the remaining post buckling capacity wish stay the primary focus. Physical checks pleasure discover new panel configurations, or brawny cloth optimizations choice be identified primarily based of perfect issue mechanics studies. Experiments have been conducted using services at Lehigh University in accordance with look at the obtruncate buckling performance concerning steel plate girder specimens, both with or without bending moment. The data out of it tests have been back after directly validate the computational modeling approaches. Methodology 1.2. Steps to be followed To achieve the objective of proposed dissertation work following steps is going to be followed: Literature survey and problem identification. Study of section of steel (Channel section). Selection of working material and section. Study of shear buckling coefficient of channel section with different hole profiles. Validation of FEM model through numerically measured output parameters at unit load in channel section. To simulate shear buckling modes in channel section to predict shear stresses and deformation. Finding the effective optimized design in channel section. Comparison of results and conclusion. Report preparation. 1.3. Finite Element Analysis (FEA) FEA stands for Finite Element Analysis and as the name suggest the methodology involves the analysis of finite elements. The whole model is divided into number of finite elements and then all the forces and boundary conditions are applied on these finite elements, and then the results of all these finite elements are combined together to give the output of whole model. For example if a line is representing a beam and we have to analyze that beam as a cantilever then FEA will divide this line representing a beam into number of small segments known as element. Then the effect of boundary condition and forces is studied on each segment and the resultant output is the summation of each segment. FEA analysis can help engineers to analyze complicated models. With the development of computer systems FEA has increased to gain importance, since it saves time and money both. 1.4. Steps for the shear buckling analysis Shear buckling analysis have been carried out by using ABAQUS/FEM. 1. First of all the model i.e the channel section structure are modelled using ABAQUS modeling domain. 2. This model is then proceeded for analysis to the ABAQUS. 3. Meshing (discreatization) of the solid model (channel section) is generated by using the meshing function of the ABAQUS finite element solver package. 4. Then boundary conditions are applied to the model and solved for shear buckling modes, shear stresses and deformation. 5. Shear buckling stress is analyzed in channel section and plate (Validation model). 1.5. Boundary Condition Load 1. Load unity is defined. 2. Simply supported effect is imposed at both the ends of channel section. Figure 1 – Boundary condition (unity load definition) Figure 2 - Boundary condition (simply support definition)
  • 3. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD47811 | Volume – 6 | Issue – 1 | Nov-Dec 2021 Page 487 Meshing details 1. Element type -3D solid element 2. Type of mesh - (Quadrahedral mesh) 3. Number of element- 2497 4. Number of nodes- 5057 Figure 3 – Element type definition in channel section 1.6. Results Governing parameters and their effect From the literature review it is observed that, shear buckling coefficient of channel sectionis based on following input and output parameters: Table1: Related input and output parameters Input Parameters Unit load Simply support Buckling prediction Output Parameters Critical buckling coefficient (Kv) Shear stress (Mpa) Deformation (mm) Vonmises stress (Mpa) Eigen value/Shear force Reaction force Validation of present existing experimental model: In order to validate the existing numerical model of the channel section this is used in order to analyze the shear buckling coefficient for the structure modeled in ABAQUS. The shear stress, reaction force, eigen value/shear force and deformation of the channel section without hole (validation model) of the validation results is represents below. Table 2: Validation results for channel section (Validation) Thickness (mm) Eigen Value/ Shear Force (Validation) Shear Stress (Mpa) (Validation) Shear Buckling Coefficient (Kv) (Validation) Vonmises stress (Mpa) (Validation) Reaction Force (Validation) Displacement (mm) (Validation) 1.5 187.18 20.19 9.8 102.1 595.3 1.22 1.4 225.11 19.66 9.3 98.58 583.7 1.19 1.3 397.94 18.61 8.6 97.33 578.2 1.12 1.2 457.35 16.56 7.9 93.63 573.4 9.8 Simulation results obtained for channel section in ABAQUS/FEM for different modes of shear buckling withvonmises stress, reaction force, shear stress, eigen value/shear force and deformation are represented below: Modes of buckling for channel section: Figure 4 – Mode shape of shear buckling for channel section (Validation)
  • 4. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD47811 | Volume – 6 | Issue – 1 | Nov-Dec 2021 Page 488 Figure 5 – Mode shape of shear buckling for channel section (Validation) Figure 6 – Mode shape of shear buckling for channel section (Validation) Figure 7 – Mode shape of shear buckling for channel section (Validation) Simulation results obtained for channel section in ABAQUS/FEM for different output parameters are represented below: Figure 8 – Shear stress for channel section (Validation) Figure 9 – Vonmises stress for channel section (Validation)
  • 5. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD47811 | Volume – 6 | Issue – 1 | Nov-Dec 2021 Page 489 Figure 9 – Reaction force for channel section (Validation) Figure 10 – Deformation for channel section (Validation) Overall comparison of output parameters for channel section with circular, elliptical, hexagonal, pentagonal, rhombus shaped hole in web are shown below: Figure 11 – Overall comparison of shear stress (MPa) with respect to hole diameter
  • 6. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD47811 | Volume – 6 | Issue – 1 | Nov-Dec 2021 Page 490 Figure 12 – Overall comparison of shear buckling coefficient (Kv) with respect to hole diameter Figure 13 – Overall comparison of vonmises stress (MPa) with respect to hole diameter
  • 7. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD47811 | Volume – 6 | Issue – 1 | Nov-Dec 2021 Page 491 Figure 14 – Overall comparison of eigen value/shear force with respect to hole diameter Figure 15 – Overall comparison of reaction force (N) with respect to hole diameter
  • 8. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD47811 | Volume – 6 | Issue – 1 | Nov-Dec 2021 Page 492 Figure 16 – Overall comparison of displacement (mm) with respect to hole diameter Conclusion 1. The FEM model was developed on ABAQUS (CAD model domain) and analysis was done by ABAQUS (structural domain). 2. The prediction of FEM model shows good relation with previous research work present in literature. 3. The internal consistency of the results confirms the validity of the FEM model. 4. The shear forces are found to be minimum as increase in hole diameter in channel section profile at certain limit. 5. The eigen value/shear force is found to be increased after 20 mm of hole diameter, thus hole diameter should persist between 20 to 30mm diameter for optimum resistance against shear stress. 6. Minimum shear stress is found in channel section with hexagonal hole profile in web with different hole diameters. 7. The deformation is predicted less in hexagonal hole profile as compared to other configurations. 8. Shear buckling coefficient is minimum for hexagonal hole profile channel section as compared to other shape hole profiles. 9. Channel section with elliptical and pentagonal hole profiles also represents good agreement in shear stress and critical buckling coefficient. References [1] ShenggangFan et al. “Experimental study and numerical simulation analysis of distortional buckling capacity of stainless steel lipped C- section beams”, Engineering Structures Volume 250, 1 January 2022, 113428 [2] ShuaiLi et al. “Global buckling and design of hot-rolled stainless steel channel section beam– columns”, Thin-Walled Structures Volume 170, January 2022, 108433 [3] ShuaiLi et al. “Experimental and numerical investigations of hot-rolled stainless steel channel section columns susceptible to flexural buckling”, Thin-Walled Structures Volume 164, July 2021, 107791 [4] ShuaiLi et al. “Experimental and numerical investigations of hot-rolled stainless steel channel section columns susceptible to flexural buckling”, Thin-Walled Structures Volume 164, July 2021, 107791 [5] AmrShaat et al. “Effect of web stiffeners on the lateral distortional buckling of channel section with hollow flanges”, Ain Shams Engineering Journal Available online 1 July 2021 [6] KrishanuRoy et al. “Local and distortional buckling behaviour of back-to-back built-up aluminium alloy channel section columns”, Thin-Walled Structures Volume 163, June 2021, 107713 [7] YiwenWu et al. “Research on distortional buckling capacity of stainless steel lipped C- section beams”, Thin-Walled Structures Volume 169, December 2021, 108453 [8] KazuhiroHayashi et al. “Full-scale testing of naturally buckling steel braces and evaluation of
  • 9. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD47811 | Volume – 6 | Issue – 1 | Nov-Dec 2021 Page 493 partiallyrib-strengthened sections to cumulative damage”, Soil Dynamics and Earthquake Engineering Volume 147, August 2021, 106611 [9] Linh T.M.Phi et al. “Buckling analysis of open- section beams with thin-walled functionally graded materials along the contour direction”, European Journal of Mechanics - A/Solids Volume 88, July–August 2021, 104217 [10] ZbigniewKolakowski et al. “Local buckling behaviour and capacities of Cold-Formed Steel Double-I-Box stub and short column sections”, Structures Volume 34, December 2021, Pages 1761-1784 [11] SihaoWang et al. “Elastic critical shear buckling stress of large-scale corrugated steel web used in bridge girders”, Engineering Structures Volume 244, 1 October 2021, 112757 [12] ShengJin et al. “Constrained shell finite element method of modal buckling analysis for thin- walled members with curved cross-sections”, Engineering Structures Volume 240, 1 August 2021, 112281 [13] ChongRen et al. “Experimental study and numerical simulation analysis of distortional buckling capacity of stainless steel lipped C- section beams”, Structures Volume 34, December 2021, Pages 2262-2275 [14] Le Anh ThiHuynh et al. “Distortional buckling behaviour and strength of cold-rolled aluminium alloy beams”, Journal of Constructional Steel Research Volume 187, December 2021, 106980 [15] LuluZhang et al. “Press-braked stainless steel channel section columns failing by flexural buckling: Testing, numerical simulation and design”, Thin-Walled Structures Volume 157, December 2020, 107066