Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
#WikiCourses
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Static Equilibrium, Reactions, andStatic Equilibrium, Reactions, and
SupportsSupports
Mohammad TawfikMohammad Tawfik
University of Science andUniversity of Science and
TechnologyTechnology
Zewail CityZewail City
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
#WikiCourses
http://WikiCourses.WikiSpaces.com
What is Statics? What is Equilibrium?
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
#WikiCourses
http://WikiCourses.WikiSpaces.com
According to WikiPedia
● Statics is the branch of mechanicsbranch of mechanics that is
concerned with the analysis of loadsanalysis of loads (force
and torque, or "moment") on physical systems
in static equilibriumin static equilibrium, that is, in a state where
the relative positions of subsystems do notdo not
vary over timevary over time, or where components and
structures are at a constant velocityconstant velocity.
● When in static equilibrium, the system is either
at rest, or its center of mass moves at constant
velocity.
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
#WikiCourses
http://WikiCourses.WikiSpaces.com
What is a support?
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
#WikiCourses
http://WikiCourses.WikiSpaces.com
What supports the child?
What supports the beam?
What supports the man and woman?
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
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What supports the toy?
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
#WikiCourses
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What supports the bridge?
What supports the cables?
What supports the columns?
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
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http://WikiCourses.WikiSpaces.com
What supports the mass?
What supports the forearm?
What supports the whole arm?
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
#WikiCourses
http://WikiCourses.WikiSpaces.com
So, what is a support?
● We can define it as the interface between two
tructures!
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
#WikiCourses
http://WikiCourses.WikiSpaces.com
What are the types of supports?
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
#WikiCourses
http://WikiCourses.WikiSpaces.com
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
#WikiCourses
http://WikiCourses.WikiSpaces.com
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
#WikiCourses
http://WikiCourses.WikiSpaces.com
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
#WikiCourses
http://WikiCourses.WikiSpaces.com
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
#WikiCourses
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Fixed Support
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
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Fixed!
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
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Fixed Support
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
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Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
#WikiCourses
http://WikiCourses.WikiSpaces.com
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
#WikiCourses
http://WikiCourses.WikiSpaces.com
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
#WikiCourses
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Ball & Socket or Cable?
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
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Cable Support
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
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Ball Support
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
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Roller Support
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
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Roller
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
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Roller Support
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
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Pinned
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
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Pinned
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
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Universal Coupling
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
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Universal Coupling
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
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Bearing
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
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Bearing
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
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Bearing
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
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Bearing
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
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Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
#WikiCourses
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Each motion prevented by a support, is
associated with a force or a moment that is
created inside that support!
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
#WikiCourses
http://WikiCourses.WikiSpaces.com
Why do we need to determine the reactions in a
support?
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
#WikiCourses
http://WikiCourses.WikiSpaces.com
A support is another structure!A support is another structure!
OROR
Transfers loads to another!Transfers loads to another!
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
#WikiCourses
http://WikiCourses.WikiSpaces.com
Write and Solve equations of static-equilibrium for
a rigid body!
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
#WikiCourses
http://WikiCourses.WikiSpaces.com
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
#WikiCourses
http://WikiCourses.WikiSpaces.com
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
#WikiCourses
http://WikiCourses.WikiSpaces.com
What is an Indeterminate Structure?
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
#WikiCourses
http://WikiCourses.WikiSpaces.com
When the number of unknown forces is more than
the number of equations of equilibrium!
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
#WikiCourses
http://WikiCourses.WikiSpaces.com
In real life, almost, all structures are
statically indeterminate!
Static Equilibrium, Reactions, and Supports
Mohammad Tawfik
#WikiCourses
http://WikiCourses.WikiSpaces.com
Cheer up :)

Static Equilibrium, Reactions, and Supports

  • 1.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com Static Equilibrium, Reactions, andStatic Equilibrium, Reactions, and SupportsSupports Mohammad TawfikMohammad Tawfik University of Science andUniversity of Science and TechnologyTechnology Zewail CityZewail City
  • 2.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com What is Statics? What is Equilibrium?
  • 3.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com According to WikiPedia ● Statics is the branch of mechanicsbranch of mechanics that is concerned with the analysis of loadsanalysis of loads (force and torque, or "moment") on physical systems in static equilibriumin static equilibrium, that is, in a state where the relative positions of subsystems do notdo not vary over timevary over time, or where components and structures are at a constant velocityconstant velocity. ● When in static equilibrium, the system is either at rest, or its center of mass moves at constant velocity.
  • 4.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com What is a support?
  • 5.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com What supports the child? What supports the beam? What supports the man and woman?
  • 6.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com What supports the toy?
  • 7.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com What supports the bridge? What supports the cables? What supports the columns?
  • 8.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com What supports the mass? What supports the forearm? What supports the whole arm?
  • 9.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com So, what is a support? ● We can define it as the interface between two tructures!
  • 10.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com What are the types of supports?
  • 11.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com
  • 12.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com
  • 13.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com
  • 14.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com
  • 15.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com Fixed Support
  • 16.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com Fixed!
  • 17.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com Fixed Support
  • 18.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com
  • 19.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com
  • 20.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com
  • 21.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com Ball & Socket or Cable?
  • 22.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com Cable Support
  • 23.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com Ball Support
  • 24.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com Roller Support
  • 25.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com Roller
  • 26.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com Roller Support
  • 27.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com Pinned
  • 28.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com Pinned
  • 29.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com Universal Coupling
  • 30.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com Universal Coupling
  • 31.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com Bearing
  • 32.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com Bearing
  • 33.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com Bearing
  • 34.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com Bearing
  • 35.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com
  • 36.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com Each motion prevented by a support, is associated with a force or a moment that is created inside that support!
  • 37.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com Why do we need to determine the reactions in a support?
  • 38.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com A support is another structure!A support is another structure! OROR Transfers loads to another!Transfers loads to another!
  • 39.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com Write and Solve equations of static-equilibrium for a rigid body!
  • 40.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com
  • 41.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com
  • 42.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com What is an Indeterminate Structure?
  • 43.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com When the number of unknown forces is more than the number of equations of equilibrium!
  • 44.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com In real life, almost, all structures are statically indeterminate!
  • 45.
    Static Equilibrium, Reactions,and Supports Mohammad Tawfik #WikiCourses http://WikiCourses.WikiSpaces.com Cheer up :)