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For

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each

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joint

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of

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a

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structural

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model,

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displacement

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may

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either

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be

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unknown

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and

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solved

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for,

...

or

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it

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may

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be

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known

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and

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input.

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Known

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joint

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displacement

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is

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either

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zero

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or

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nonzero.

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Zero

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displacement

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is

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specified

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for

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fixed

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DOF

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at

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restraint

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support

...

locations.

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Nonzero

...

joint

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displacement

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is

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specified

...

for

...

such

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a

...

condition

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as

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given

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support

...

settlement,

...

or

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application

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of

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displacement

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time

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history

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to

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specific

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supports,

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which

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is

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described

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in

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the

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Displacement

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time-history

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record

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article.

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When

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joint

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displacement

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is

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known

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for

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a

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given

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DOF

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(whether

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zero

...

or

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nonzero),

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a

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restraint

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must

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be

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assigned

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along

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that

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DOF.

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A

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nonzero

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displacement

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value

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may

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then

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be

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assigned

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using

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the

...

Assign

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>

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Joint

...

Loads

...

>

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Displacements

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menu.

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Numerical

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solution

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proceeds

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by

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solving

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the

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matrix

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equation

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K

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u

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=

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F

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,

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where:

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  • K represents the stiffness matrix
  • u represents joint displacements
  • F represents joint forces

CSI Software transfers nonzero joint displacements to the right side of this equation such that equivalent applied loads represent their effect. Unknown displacements on the left side are then solved.

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Related Incidents:

  • Incident 27923: 1/20/2011 memo: When displacement load is applied to joints that are restrained and connected to links with all DOF as fixed, these are equivalent to constraints. Displacement loading cannot be applied through restraints to constraints. Either a stiff spring should be used at the joint in place of restraints, or stiff properties used in the link rather than fixed DOF.

See Also