www.ijatir.org ISSN 2348–2370 Vol.09,Issue.05, April-2017, Pages:0682-0685 Copyright @ 2017 IJATIR. All rights reserved. Design and Analysis of Cantilever Beam DR.CH.S.NAGA PRASAD Professor & Principal, Dept of Mechanical, GIITS Engineering College, Aganampudi, Visakhapatnam(Dt), AP, India, Email: [email protected]. Abstract: This study investigates the deflection and stress distribution in a long, slender cantilever beam of uniform rectangular cross section made of linear elastic material properties that are homogeneous and isotropic. The deflection of a cantilever beam is essentially a three dimensional problem. An elastic stretching in one direction is accompanied by a compression in perpendicular directions. In this project ,static and Modal analysis is a process to determine the stress ,strain and deformation. vibration characteristics (natural frequencies and mode shapes) of a structure or a machine component while it is being designed. It has become a major alternative to provide a helpful contribution in understanding control of many vibration phenomena which encountered in practice. In this work we compared the stress and natural frequency for different material having same I, C and T cross- sectional beam. The cantilever beam is designed and analyzed in ANSYS. The cantilever beam which is fixed at one end is vibrated to obtain the natural frequency, mode shapes and deflection with different sections and materials. Keywords: Finite Element Analysis, Cantilever Beam, Static and Model Analysis. I. INTRODUCTION A beam is a structural element that is capable of withstanding load primarily by resisting against bending. The bending force induced into the material of the beam as a result of the external loads, own weight, span and external reactions to these loads is called a bending moment. Beams are characterized by their profile (shape of cross-section), their length, and their material. Beams are traditionally descriptions of building or civil engineering structural elements, but smaller structures such as truck or automobile frames, machine frames, and other mechanical or structural systems contain beam structures that are designed and analyzed in a similar fashion. Fig1. A statically determinate beam, bending (sagging) under a uniformly distributed load II. LITERATURE REVIEW MODELLING, SIMULATION AND ANALYSIS OF CANTILEVER BEAM OF DIFFERENT MATERIAL BY FINITE ELEMENT METHOD, ANSYS The dynamic analysis of a beam with multiple degree of freedom (MDOF) are studied in this paper. Due to the destructive effects of vibration in machines and structures due to resonance. In multiple degree of freedom system, there are n natural frequencies and the concept of resonance is complicated by the effect of mode shapes. In the present work cantilever beam of different materials and dimensions is considered for the dynamic analysis of free vibration at no load condition as well as comparison between materials. The modelling, simulation and analysis of cantilever beam is done by using ANSYS and theoretically by finite element method (FEM) for the evaluation of natural frequency and mode shape. III. PROBLEM DESCRIPTION The objective of this project is to make a 3D model of the cantilever beam and study the static and model behavior of the cantilever beam by performing the finite element analysis. 3D modeling software (PRO-Engineer) was used for designing and analysis software (ANSYS) was used for static and modal analysis. The methodology followed in the project is as follows: Create a 3D model of the cantilever beam assembly using parametric software pro-engineer. Convert the surface model into Para solid file and import the model into ANSYS to do analysis. Perform static analysis on the cantilever beam. Perform model analysis on the existing model of the cantilever beam. IV. INTRODUCTION TO CAD/CAE Computer-aided design (CAD), also known as computer- aided design and drafting (CADD), is the use of computer technology for the process of design and design- documentation. A. Introduction To Pro-Engineer Pro/ENGINEER Wildfire is the standard in 3D product design, featuring industry-leading productivity tools that promote best practices in design while ensuring compliance with your industry and company standards. Integrated
Design and Analysis of Cantilever Beam
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Design and Analysis of Cantilever Beam DR.CH.S.NAGA PRASAD
Professor & Principal, Dept of Mechanical, GIITS Engineering College, Aganampudi, Visakhapatnam(Dt), AP, India,
Email: [email protected].
distribution in a long, slender cantilever beam of uniform
rectangular cross section made of linear elastic material
properties that are homogeneous and isotropic. The
deflection of a cantilever beam is essentially a three
dimensional problem. An elastic stretching in one direction
is accompanied by a compression in perpendicular
directions. In this project ,static and Modal analysis is a
process to determine the stress ,strain and deformation.
vibration characteristics (natural frequencies and mode
shapes) of a structure or a machine component while it is
being designed. It has become a major alternative to provide
a helpful contribution in understanding control of many
vibration phenomena which encountered in practice. In this
work we compared the stress and natural frequency for
different material having same I, C and T cross- sectional
beam. The cantilever beam is designed and analyzed in
ANSYS. The cantilever beam which is fixed at one end is
vibrated to obtain the natural frequency, mode shapes and
deflection with different sections and materials.
Keywords: Finite Element Analysis, Cantilever Beam,
Static and Model Analysis.
A beam is a structural element that is capable of
withstanding load primarily by resisting against bending.
The bending force induced into the material of the beam as a
result of the external loads, own weight, span and external
reactions to these loads is called a bending moment. Beams
are characterized by their profile (shape of cross-section),
their length, and their material. Beams are traditionally
descriptions of building or civil engineering structural
elements, but smaller structures such as truck or automobile
frames, machine frames, and other mechanical or structural
systems contain beam structures that are designed and
analyzed in a similar fashion.
Fig1. A statically determinate beam, bending (sagging)
under a uniformly distributed load
II. LITERATURE REVIEW MODELLING,
BEAM OF DIFFERENT MATERIAL BY FINITE
ELEMENT METHOD, ANSYS
The dynamic analysis of a beam with multiple degree
of freedom (MDOF) are studied in this paper. Due to the
destructive effects of vibration in machines and structures
due to resonance. In multiple degree of freedom system,
there are n natural frequencies and the concept of
resonance is complicated by the effect of mode shapes. In
the present work cantilever beam of different materials
and dimensions is considered for the dynamic analysis of
free vibration at no load condition as well as comparison
between materials. The modelling, simulation and
analysis of cantilever beam is done by using ANSYS and
theoretically by finite element method (FEM) for the
evaluation of natural frequency and mode shape.
III. PROBLEM DESCRIPTION
The objective of this project is to make a 3D model of the
cantilever beam and study the static and model behavior of
the cantilever beam by performing the finite element
analysis. 3D modeling software (PRO-Engineer) was used
for designing and analysis software (ANSYS) was used for
static and modal analysis.
using parametric software pro-engineer.
import the model into ANSYS to do analysis.
Perform static analysis on the cantilever beam.
Perform model analysis on the existing model of the
cantilever beam.
aided design and drafting (CADD), is the use of computer
technology for the process of design and design-
documentation.
design, featuring industry-leading productivity tools that
promote best practices in design while ensuring compliance
with your industry and company standards. Integrated
International Journal of Advanced Technology and Innovative Research
Volume. 09, IssueNo.05, April-2017, Pages: 0682-0685
Pro/ENGINEER CAD/CAM/CAE solutions allow you to
design faster than ever, while maximizing innovation and
quality to ultimately create exceptional products.
Different modules in pro/engineer: Part design, Assembly,
Drawing& Sheet metal.
Finite Element Method (FEM) is also called as Finite
Element Analysis (FEA). Finite Element Method is a basic
analysis technique for resolving and substituting complicated
problems by simpler ones, obtaining approximate solutions
Finite element method being a flexible tool is used in various
industries to solve several practical engineering problems. In
finite element method it is feasible to generate the relative
results.
The cantilever beam is modeled using the given
specifications and design formula from data book. The
cantilever beam outer casing body profile is sketched in
sketcher and then it is extruded using extrude option.
Cantilever beam 3D model :
Fig5. Material-Steel.
According to the above contour plot, the deformation is
maximum at the free end of the beam and the deformation is
minimum at the fixed end. At this condition the maximum
deformation of the beam is 2.429.
Fig6. Stress
International Journal of Advanced Technology and Innovative Research
Volume. 09, IssueNo.05, April-2017, Pages: 0682-0685
According to the above contour plot, the maximum stress
is at the fixed the fixed end because we are applying the
loads at the free end.
Fig7. Strain.
C. Modal Analysis of cantilever Beam
Material-Steel
International Journal of Advanced Technology and Innovative Research
Volume. 09, IssueNo.05, April-2017, Pages: 0682-0685
Finite element analysis or FEA representing a real project
as a “mesh” a series of small, regularly shaped tetrahedron
connected elements, as shown in the above fig. And then
setting up and solving huge arrays of simultaneous
equations. The finer the mesh, the more accurate the results
but more computing power is required.
VI. RESULTS AND DISCUSSIONS
CFD ANALYSIS RESULT TABLE
C-section
T-section
Modal analysis results
C-section
T-section
VII. CONCLUSION
frequency for different material having same I, C and T
cross- sectional beam. The cantilever beam is designed and
analyzed in ANSYS. The cantilever beam which is fixed at
one end is vibrated to obtain the natural frequency, mode
shapes and deflection with different sections and materials.
By observing the static analysis the deformation and stress
values are less for I-section cantilever beam at cast iron
material than steel and stainless steel. By observing the
modal analysis results the deformation and frequency values
are less for I-section cantilever beam more for T-section. So
it can be conclude the cast iron material is better material for
cantilever beam in this type I-section model.
VIII. REFERENCES
Analysis of Cantilever Beam by ANSYS" Global journal for
research analysis, 2014, Volume-3, Issue-9, PP:51- 55.
[2] Yuan, F.G. and R.E. Miller. A higher order finite element
for laminated composite beams. Computers & Structures, 14
(1990): 125-150.
[3] Dipak Kr. Maiti& P. K. Sinha. Bending and free
vibration analysis of shear deformable laminated composite
beams by finite element method. Composite Structures, 29
(1994): 421- 431
[4] Teboub Y, Hajela P. Free vibration of generally layered
composite beams using symbolic computations. Composite
Structures, 33 (1995): 123– 34.
[5] Banerjee, J.R. Free vibration of axially loaded composite
Timoshenko beams using the dynamic stiffness matrix
method. Computers & Structures, 69 (1998): 197-208
[6] Bassiouni AS, Gad-Elrab RM, Elmahdy TH. Dynamic
analysis for laminated composite beams. Composite
Structures, 44 (1999): 81–7.
Author Profile:
M.Tech Degree on Heat power Refrigerator
and AC from JNTU, Anantapur in 2002 and
Ph.D on IC Engines (Thermal Engg) from
JNTU, Hyderabad in 2011. He is currently
working as Professor & Principal in Gonna
Institute of Information Technology and sciences,
Aganampudi, Visakhapatnam, A.P, INDIA.
Professor & Principal, Dept of Mechanical, GIITS Engineering College, Aganampudi, Visakhapatnam(Dt), AP, India,
Email: [email protected].
distribution in a long, slender cantilever beam of uniform
rectangular cross section made of linear elastic material
properties that are homogeneous and isotropic. The
deflection of a cantilever beam is essentially a three
dimensional problem. An elastic stretching in one direction
is accompanied by a compression in perpendicular
directions. In this project ,static and Modal analysis is a
process to determine the stress ,strain and deformation.
vibration characteristics (natural frequencies and mode
shapes) of a structure or a machine component while it is
being designed. It has become a major alternative to provide
a helpful contribution in understanding control of many
vibration phenomena which encountered in practice. In this
work we compared the stress and natural frequency for
different material having same I, C and T cross- sectional
beam. The cantilever beam is designed and analyzed in
ANSYS. The cantilever beam which is fixed at one end is
vibrated to obtain the natural frequency, mode shapes and
deflection with different sections and materials.
Keywords: Finite Element Analysis, Cantilever Beam,
Static and Model Analysis.
A beam is a structural element that is capable of
withstanding load primarily by resisting against bending.
The bending force induced into the material of the beam as a
result of the external loads, own weight, span and external
reactions to these loads is called a bending moment. Beams
are characterized by their profile (shape of cross-section),
their length, and their material. Beams are traditionally
descriptions of building or civil engineering structural
elements, but smaller structures such as truck or automobile
frames, machine frames, and other mechanical or structural
systems contain beam structures that are designed and
analyzed in a similar fashion.
Fig1. A statically determinate beam, bending (sagging)
under a uniformly distributed load
II. LITERATURE REVIEW MODELLING,
BEAM OF DIFFERENT MATERIAL BY FINITE
ELEMENT METHOD, ANSYS
The dynamic analysis of a beam with multiple degree
of freedom (MDOF) are studied in this paper. Due to the
destructive effects of vibration in machines and structures
due to resonance. In multiple degree of freedom system,
there are n natural frequencies and the concept of
resonance is complicated by the effect of mode shapes. In
the present work cantilever beam of different materials
and dimensions is considered for the dynamic analysis of
free vibration at no load condition as well as comparison
between materials. The modelling, simulation and
analysis of cantilever beam is done by using ANSYS and
theoretically by finite element method (FEM) for the
evaluation of natural frequency and mode shape.
III. PROBLEM DESCRIPTION
The objective of this project is to make a 3D model of the
cantilever beam and study the static and model behavior of
the cantilever beam by performing the finite element
analysis. 3D modeling software (PRO-Engineer) was used
for designing and analysis software (ANSYS) was used for
static and modal analysis.
using parametric software pro-engineer.
import the model into ANSYS to do analysis.
Perform static analysis on the cantilever beam.
Perform model analysis on the existing model of the
cantilever beam.
aided design and drafting (CADD), is the use of computer
technology for the process of design and design-
documentation.
design, featuring industry-leading productivity tools that
promote best practices in design while ensuring compliance
with your industry and company standards. Integrated
International Journal of Advanced Technology and Innovative Research
Volume. 09, IssueNo.05, April-2017, Pages: 0682-0685
Pro/ENGINEER CAD/CAM/CAE solutions allow you to
design faster than ever, while maximizing innovation and
quality to ultimately create exceptional products.
Different modules in pro/engineer: Part design, Assembly,
Drawing& Sheet metal.
Finite Element Method (FEM) is also called as Finite
Element Analysis (FEA). Finite Element Method is a basic
analysis technique for resolving and substituting complicated
problems by simpler ones, obtaining approximate solutions
Finite element method being a flexible tool is used in various
industries to solve several practical engineering problems. In
finite element method it is feasible to generate the relative
results.
The cantilever beam is modeled using the given
specifications and design formula from data book. The
cantilever beam outer casing body profile is sketched in
sketcher and then it is extruded using extrude option.
Cantilever beam 3D model :
Fig5. Material-Steel.
According to the above contour plot, the deformation is
maximum at the free end of the beam and the deformation is
minimum at the fixed end. At this condition the maximum
deformation of the beam is 2.429.
Fig6. Stress
International Journal of Advanced Technology and Innovative Research
Volume. 09, IssueNo.05, April-2017, Pages: 0682-0685
According to the above contour plot, the maximum stress
is at the fixed the fixed end because we are applying the
loads at the free end.
Fig7. Strain.
C. Modal Analysis of cantilever Beam
Material-Steel
International Journal of Advanced Technology and Innovative Research
Volume. 09, IssueNo.05, April-2017, Pages: 0682-0685
Finite element analysis or FEA representing a real project
as a “mesh” a series of small, regularly shaped tetrahedron
connected elements, as shown in the above fig. And then
setting up and solving huge arrays of simultaneous
equations. The finer the mesh, the more accurate the results
but more computing power is required.
VI. RESULTS AND DISCUSSIONS
CFD ANALYSIS RESULT TABLE
C-section
T-section
Modal analysis results
C-section
T-section
VII. CONCLUSION
frequency for different material having same I, C and T
cross- sectional beam. The cantilever beam is designed and
analyzed in ANSYS. The cantilever beam which is fixed at
one end is vibrated to obtain the natural frequency, mode
shapes and deflection with different sections and materials.
By observing the static analysis the deformation and stress
values are less for I-section cantilever beam at cast iron
material than steel and stainless steel. By observing the
modal analysis results the deformation and frequency values
are less for I-section cantilever beam more for T-section. So
it can be conclude the cast iron material is better material for
cantilever beam in this type I-section model.
VIII. REFERENCES
Analysis of Cantilever Beam by ANSYS" Global journal for
research analysis, 2014, Volume-3, Issue-9, PP:51- 55.
[2] Yuan, F.G. and R.E. Miller. A higher order finite element
for laminated composite beams. Computers & Structures, 14
(1990): 125-150.
[3] Dipak Kr. Maiti& P. K. Sinha. Bending and free
vibration analysis of shear deformable laminated composite
beams by finite element method. Composite Structures, 29
(1994): 421- 431
[4] Teboub Y, Hajela P. Free vibration of generally layered
composite beams using symbolic computations. Composite
Structures, 33 (1995): 123– 34.
[5] Banerjee, J.R. Free vibration of axially loaded composite
Timoshenko beams using the dynamic stiffness matrix
method. Computers & Structures, 69 (1998): 197-208
[6] Bassiouni AS, Gad-Elrab RM, Elmahdy TH. Dynamic
analysis for laminated composite beams. Composite
Structures, 44 (1999): 81–7.
Author Profile:
M.Tech Degree on Heat power Refrigerator
and AC from JNTU, Anantapur in 2002 and
Ph.D on IC Engines (Thermal Engg) from
JNTU, Hyderabad in 2011. He is currently
working as Professor & Principal in Gonna
Institute of Information Technology and sciences,
Aganampudi, Visakhapatnam, A.P, INDIA.
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