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What is a Beam?
 Horizontal structural
member used to support
horizontal loads such as
floors, roofs, and decks.
 Types of beam loads
 Uniform
 Varied by length
 Single point
 Combination
OVERHANGING BEAM
Common Beam Shapes
I Beam
Hollow
Box
Solid
Box
H Beam
T Beam
BEAM TERMINOLOGY
 The parallel portions on an I-beam or H-beam are referred to as the flanges.
The portion that connects the flanges is referred to as the web.
Web Flanges
Flanges
Web
TYPES OF BEAMS
SIMPLY SUPPORTED BEAM
OVERHANGING BEAM
CANTILEVER BEAM
OVERHANGING BEAM
 An overhanging beam is defined as
a beam, which is freely supported at
two points and having one or both
ends extending beyond these supports.
Mostly in the overhanging beam one
support is hinge support while is roller
support having one end as free like as
cantilever
USES OF OVERHANGING BEAM
Overhanging beams are used in
 Constructing petrol pump stations
 Jumping/diving board of swimming
pools
 Floor beam which extends beyond
the exterior wall of a building to
support a balcony.
Literature Review
Hamid Zabihi Ferezqi (May, 2010)
 Analysis of free vibrations of beams using Timoshenko beam theory.
 Study carried out using propagation and reflection of waves along the beam.
 Resultantly, various discontinuities such as cracks, sections or boundaries were found.
R. Lassoued, M. G. ( October,2005)
 Procedure of determining free vibrations of beam to govern vibration equations.
 Orthotropic plate theory is used to analyze the dynamics behavior of beams.
 Study of simulation of a bridge.
Keyang Kaya Mo (2006)
 South well equation is utilized for free vibration elastic structures.
 Timoshenko beam theory is best fit for determining natural frequencies.
Literature Review
Shin H. (12 Dec.1997)
 Coriolis effects and centrifugal force for differentiating rotating and non rotating
beams.
 Study is made easier by using assumption for making study convenient.
 Frequencies of rotating vibrational beams is also studied under this article.
Chih Ling Huang (14 Nov. 2005)
 Factors contributing to the appropriate structures ,modes shapes and natural frequencies.
 Uses of Beams as for experimental purposes and determining damping ratio.
Ding Chen (2011)
 The study of the axially moving beam having major contribution in modern advancements.
 Natural frequencies of coupled vibrations are also studied under this research article.
M.Shahidi, M. B. (4 April, 2011)
 VAM and IAM are employed for solving nonlinear equation of overhanging beams.
 Significance of study of non linearity in structures.
 Importance of approximation in nonlinearity behavior.
 Reduced errors by VAM and IAM approaches.
 Use of ANSYS for determining how material dependent damping can be précised.
 Analysis of a simple overhanging beam using various damping mode options in ANSYS.
 Use of ANSYS for complex structures i.e. Nuclear power plants.
JinsuoNie, X. Wei (July,2011)
Methodology
RESEARCH METHOD AND METHODOLOGY
 Research method includes all those techniques or methods
that are adopted for conducting research.
 Research methodology is the way in which research problems
are solved systematically.
 there are many methods to find the reaction force in
overhanging beam.
 Slope deflection method
 Flexibility method
 Matrix method
 Moment distribution method
 Standard method
 Reaction force can be calculated when three or more
than 3 forces are acting on overhanging beam in
standard method.
 Standard equilibrium method includes three steps.
 First step involves calculating the reaction force at the
support due to the force acting on beam.
 Second step let the sum of moments about a reaction
point equal to zero 𝑀 = 0
 Third step let the sum of vertical force equal to zero 𝑉 = 0.
 Remember to includes all forces including reaction and
normal forces.
A B C
L X
Conclusion:
 The renascent analysis search gives procedure to determine free vibrations to
govern vibration equations with load of nonlinear homogeneity.
 In science, nonlinear system is a system in which change of output is not
proportional to change in input.
 Nonlinear homogenous systems are systems that show variable stiffness
variable damping or both.
 Use in structures with variable dampers, arid(dry) structure with active variable
stiffness.
 The area of research also deals with free vibrating elastic structures that is
rotating with fixed angular velocities. Free vibration is a type of vibration in
which once a force is applied and then body is allowed to vibrate at its natural
frequency.
 Paper give analysis of nonlinear equation which governs the overhanging beam.
 Tapered beam is a build up I beam that is wider at one end than other thus giving overall
tapered structure.
 The research paper states the use of ANSYS in superposition transient analysis mode for
determining how material dependent damping is prescribed.
 ANSYS is a general purpose software that is used to stimulate interactions of all disciplines of
physics, structural, vibration, fluid dynamics etc.
THANK YOU FOR YOUR TIME
ANY QUESTIONS?

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Beam and its Types

  • 1. What is a Beam?  Horizontal structural member used to support horizontal loads such as floors, roofs, and decks.  Types of beam loads  Uniform  Varied by length  Single point  Combination
  • 2.
  • 4. Common Beam Shapes I Beam Hollow Box Solid Box H Beam T Beam
  • 5. BEAM TERMINOLOGY  The parallel portions on an I-beam or H-beam are referred to as the flanges. The portion that connects the flanges is referred to as the web. Web Flanges Flanges Web
  • 6. TYPES OF BEAMS SIMPLY SUPPORTED BEAM OVERHANGING BEAM CANTILEVER BEAM
  • 7. OVERHANGING BEAM  An overhanging beam is defined as a beam, which is freely supported at two points and having one or both ends extending beyond these supports. Mostly in the overhanging beam one support is hinge support while is roller support having one end as free like as cantilever
  • 8. USES OF OVERHANGING BEAM Overhanging beams are used in  Constructing petrol pump stations  Jumping/diving board of swimming pools  Floor beam which extends beyond the exterior wall of a building to support a balcony.
  • 10. Hamid Zabihi Ferezqi (May, 2010)  Analysis of free vibrations of beams using Timoshenko beam theory.  Study carried out using propagation and reflection of waves along the beam.  Resultantly, various discontinuities such as cracks, sections or boundaries were found. R. Lassoued, M. G. ( October,2005)  Procedure of determining free vibrations of beam to govern vibration equations.  Orthotropic plate theory is used to analyze the dynamics behavior of beams.  Study of simulation of a bridge. Keyang Kaya Mo (2006)  South well equation is utilized for free vibration elastic structures.  Timoshenko beam theory is best fit for determining natural frequencies. Literature Review
  • 11. Shin H. (12 Dec.1997)  Coriolis effects and centrifugal force for differentiating rotating and non rotating beams.  Study is made easier by using assumption for making study convenient.  Frequencies of rotating vibrational beams is also studied under this article. Chih Ling Huang (14 Nov. 2005)  Factors contributing to the appropriate structures ,modes shapes and natural frequencies.  Uses of Beams as for experimental purposes and determining damping ratio. Ding Chen (2011)  The study of the axially moving beam having major contribution in modern advancements.  Natural frequencies of coupled vibrations are also studied under this research article.
  • 12. M.Shahidi, M. B. (4 April, 2011)  VAM and IAM are employed for solving nonlinear equation of overhanging beams.  Significance of study of non linearity in structures.  Importance of approximation in nonlinearity behavior.  Reduced errors by VAM and IAM approaches.  Use of ANSYS for determining how material dependent damping can be précised.  Analysis of a simple overhanging beam using various damping mode options in ANSYS.  Use of ANSYS for complex structures i.e. Nuclear power plants. JinsuoNie, X. Wei (July,2011)
  • 14. RESEARCH METHOD AND METHODOLOGY  Research method includes all those techniques or methods that are adopted for conducting research.  Research methodology is the way in which research problems are solved systematically.  there are many methods to find the reaction force in overhanging beam.  Slope deflection method  Flexibility method  Matrix method
  • 15.  Moment distribution method  Standard method  Reaction force can be calculated when three or more than 3 forces are acting on overhanging beam in standard method.  Standard equilibrium method includes three steps.  First step involves calculating the reaction force at the support due to the force acting on beam.  Second step let the sum of moments about a reaction point equal to zero 𝑀 = 0
  • 16.  Third step let the sum of vertical force equal to zero 𝑉 = 0.  Remember to includes all forces including reaction and normal forces. A B C L X
  • 17. Conclusion:  The renascent analysis search gives procedure to determine free vibrations to govern vibration equations with load of nonlinear homogeneity.  In science, nonlinear system is a system in which change of output is not proportional to change in input.  Nonlinear homogenous systems are systems that show variable stiffness variable damping or both.  Use in structures with variable dampers, arid(dry) structure with active variable stiffness.  The area of research also deals with free vibrating elastic structures that is rotating with fixed angular velocities. Free vibration is a type of vibration in which once a force is applied and then body is allowed to vibrate at its natural frequency.
  • 18.  Paper give analysis of nonlinear equation which governs the overhanging beam.  Tapered beam is a build up I beam that is wider at one end than other thus giving overall tapered structure.  The research paper states the use of ANSYS in superposition transient analysis mode for determining how material dependent damping is prescribed.  ANSYS is a general purpose software that is used to stimulate interactions of all disciplines of physics, structural, vibration, fluid dynamics etc.
  • 19. THANK YOU FOR YOUR TIME ANY QUESTIONS?