The document discusses various types of loads, supports, beams, and spans that are commonly analyzed in structural engineering. It defines point loads, uniformly distributed loads, uniformly varying loads, and rolling loads. It also describes simple supports, roller supports, hinged supports, and fixed supports. The main types of beams covered are simply supported beams, cantilever beams, fixed beams, overhanging beams, continuous beams, and beams with one end hinged and the other end roller supported. Finally, it distinguishes between clear span, effective span, and total span.
Introduction
Types of Beam
Types of Loads acting on beam
Types of Supports
Instrument used for finding “Support Reactions”
How to find “Support Reactions”
Introduction
Types of Beam
Types of Loads acting on beam
Types of Supports
Instrument used for finding “Support Reactions”
How to find “Support Reactions”
Whenever a body is subjected to an axial tension or compression, a direct stress comes into play at every section of body. We also know that whenever a body is subjected to a bending moment a bending moment a bending stress comes into play.
CONTENT:
1. Elastic strain energy
2. Strain energy due to gradual loading
3. Strain energy due to sudden loading
4. Strain energy due to impact loading
5. Strain energy due to shock loading
6. Strain energy due to shear loading
7. Strain energy due to bending (flexure)
8. Strain energy due to torsion
9. Examples
When a body is subjected to gradual, sudden or impact load, the body deforms and work is done upon it. If the elastic limit is not exceed, this work is stored in the body. This work done or energy stored in the body is called strain energy.
When a body is subjected to gradual, sudden or impact load, the body deforms and work is done upon it. If the elastic limit is not exceed, this work is stored in the body. This work done or energy stored in the body is called strain energy.
A force is an external agent acting on another body. This force may moves or tends to move the body in the direction of its action. The force is a vector quantity since it is represented by its magnitude and direction. The force may be of pulling or pushing type. Copy the link given below and paste it in new browser window to get more information on Principle Of Transmissibility:-
http://www.transtutors.com/homework-help/mechanical-engineering/force-systems-and-analysis/principle-of-transmissibility.aspx
By the end of this presentation you will be able to identify different types of Beams, supports and loads which are seen commonly in this world
Note: There is also background voice for this presentation which give brief explanation about every slide, for activating audio I think you need to download this presentation
In engineering, deflection is the degree to which a structural element is displaced under a load. It may refer to an angle or a distance.
The deflection distance of a member under a load is directly related to the slope of the deflected shape of the member under that load, and can be calculated by integrating the function that mathematically describes the slope of the member under that load. Deflection can be calculated by standard formula (will only give the deflection of common beam configurations and load cases at discrete locations), or by methods such as virtual work, direct integration, Castigliano's method, Macaulay's method or the direct stiffness method, amongst others. The deflection of beam elements is usually calculated on the basis of the Euler–Bernoulli beam equation while that of a plate or shell element is calculated using plate or shell theory.
This document gives the class notes of Unit 5 shear force and bending moment in beams. Subject: Mechanics of materials.
Syllabus contest is as per VTU, Belagavi, India.
Notes Compiled By: Hareesha N Gowda, Assistant Professor, DSCE, Bengaluru-78.
Whenever a body is subjected to an axial tension or compression, a direct stress comes into play at every section of body. We also know that whenever a body is subjected to a bending moment a bending moment a bending stress comes into play.
CONTENT:
1. Elastic strain energy
2. Strain energy due to gradual loading
3. Strain energy due to sudden loading
4. Strain energy due to impact loading
5. Strain energy due to shock loading
6. Strain energy due to shear loading
7. Strain energy due to bending (flexure)
8. Strain energy due to torsion
9. Examples
When a body is subjected to gradual, sudden or impact load, the body deforms and work is done upon it. If the elastic limit is not exceed, this work is stored in the body. This work done or energy stored in the body is called strain energy.
When a body is subjected to gradual, sudden or impact load, the body deforms and work is done upon it. If the elastic limit is not exceed, this work is stored in the body. This work done or energy stored in the body is called strain energy.
A force is an external agent acting on another body. This force may moves or tends to move the body in the direction of its action. The force is a vector quantity since it is represented by its magnitude and direction. The force may be of pulling or pushing type. Copy the link given below and paste it in new browser window to get more information on Principle Of Transmissibility:-
http://www.transtutors.com/homework-help/mechanical-engineering/force-systems-and-analysis/principle-of-transmissibility.aspx
By the end of this presentation you will be able to identify different types of Beams, supports and loads which are seen commonly in this world
Note: There is also background voice for this presentation which give brief explanation about every slide, for activating audio I think you need to download this presentation
In engineering, deflection is the degree to which a structural element is displaced under a load. It may refer to an angle or a distance.
The deflection distance of a member under a load is directly related to the slope of the deflected shape of the member under that load, and can be calculated by integrating the function that mathematically describes the slope of the member under that load. Deflection can be calculated by standard formula (will only give the deflection of common beam configurations and load cases at discrete locations), or by methods such as virtual work, direct integration, Castigliano's method, Macaulay's method or the direct stiffness method, amongst others. The deflection of beam elements is usually calculated on the basis of the Euler–Bernoulli beam equation while that of a plate or shell element is calculated using plate or shell theory.
This document gives the class notes of Unit 5 shear force and bending moment in beams. Subject: Mechanics of materials.
Syllabus contest is as per VTU, Belagavi, India.
Notes Compiled By: Hareesha N Gowda, Assistant Professor, DSCE, Bengaluru-78.
اسلام وعلیکم ورحمت الله وبرکاته
i and my other afghani friends made this ppt in submission so if you have any ppt in your submission you can use it
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4. •POINT LOAD ( CONCENTRATED LOAD)
Load acting at a definite point on a beam is known as a
concentrated load or point load.
Units - Newton, kilo Newton etc.
5. •UNIFORMLY DISTRIBUTED LOAD
( udl) OR RECTANGULAR LOADING
A load which is spread over a beam in such a manner that
each unit length is loaded to the same intensity is known as
uniformly distributed load.
It is measured in intensity with units Newton/Meter.
6. •UNIFORMLY VARYING LOAD. ( uvl) OR
TRIANGULAR LOADING
A load which is spread over a beam in such a manner that
the intensity of loading varies uniformly on each unit length
is known as uniformly varying load .
It is measured in intensity with units Newton/Meter.
7. •ROLLING LOAD
Rolling loads are those loads which roll over the given
structural element from one end to the another.
In this type of loading magnitude of Bending moment and
shear force will go on change in position of loads
Eg:- A train on the railway track, vehicles on the bridges or
roads are rolling loads.
9. • SIMPLE SUPPORT
When a beam rests freely on a support, then such a
support is known as simply or simple support.
In this type of support, the beam is allowed to rest
freely on a support.
10. • ROLLER SUPPORT
When a beam end is supported on roller, then such support
is known as roller support.
Support reaction is normal..
Roller supports are free to rotate and translate along the
surface upon which the roller rests (ie, about the support).
The surface can be horizontal, vertical, or sloped at any
angle. The resulting reaction force is always a single force
that is perpendicular to, and away from, the surface.
11. • HINGED SUPPORT OR PINNED SUPPORT
A hinged support is a support which restricts the
movement of the beam in any direction but it will allow
the beam to rotate about the support just like a door.
A Hinged beam support can resist both vertical and
horizontal forces but not a moment.
They will allow the structural member to rotate, but not to
translate in any direction..
12. • FIXED SUPPORT OR RIGID SUPPORT
Fixed supports can resist vertical and horizontal forces as
well as a moment.
Since they restrain both rotation and translation, they are
also known as rigid supports.
A structure only needs one fixed support in order to be
stable
.
13.
14.
15. •Any horizontal structural member
sufficiently long as compared to its lateral
dimensions, supported at certain points
along its length, subjected to external forces
acting right angles to its axis is known as a
beam.
16. • SIMPLY SUPPORTED BEAM
• CANTILEVER BEAM
• FIXED BEAM
• OVER HANGING BEAM
• CONTINUOUS BEAM
• BEAM WITH ONE END HINGED AND THE
OTHER END ROLLER
17. • SIMPLY SUPPORTED BEAM
• When both ends of the beam are simply supported, it is
called a simply supported beam or freely supported beam.
18. • CANTILEVER BEAM
• If one end of the beam is fixed and other end is free then it
is called a cantilever beam.
19. • FIXED BEAM
A beam whose both ends are rigidly fixed then it is
known as a fixed beam or encaster beam or rigid
beam or restrained beam.
20. • OVER HANGING BEAMS
If a beam is projecting beyond the support or supports
then it is called an overhanging beam.
If one or both ends of a beam is projecting beyond the
supports, then it is called an over hanging beam
21. • OVER HANGING BEAMS
• A. Right over hanging beam
• B. Left over hanging beam
• C. Both sides over hanging beam
22. • CONTINUOUS BEAM
• If a beam is supported on more than two supports
then it is called a continuous beam.
• A continuous beam may or may not be an
overhanging beam.
23. • BEAM WITH ONE END HINGED AND THE OTHER
END ROLLER
This beam has one of its ends hinged and the other side of
the beam is supported with roller.
These kind of beams are capable to withstand loads in any
direction
24.
25. Span is the distance between two intermediate
supports.
30. 1. What are the different types of loading ?
2. Differentiate between udl and uvl
3. What is a rolling load ? Cite examples for it ?
4. What are the different types of supports? Explain it.
5. What is a beam?
6. What are the different types of beams? Explain it?
7. Differentiate between clear span and effective span.
31. 1. Define a) Point load, b) Uniformly distributed load, 3) triangular loading
and d) Rolling load.
2. What is a Cantilever beam?
3. What is an overhanging beam?
4. What is a fixed beam?
5. What is a continuous beam?
6. What is total span?
7. What is clear span ?
8. What is effective span?
32. 1. R.S.Khurmi : Applied Mechanics & Strength of Materials;
S. Chand Publishing
2. M.Chakrabroti : Strength of materials ; S.K Kataria &sons.
3. R.K.Rajput : Strength of Materials ; S. Chand Publishing
4. S.S.Bhavikatti : Strength of Materials ; Vikas Publishing
House Pvt Ltd,
5.K.N.A.G.K. Manikanta: Theory of structures –I; Radiant
Publishing House
