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PPT: Indeterminate Structural Analysis Notes | EduRev

GATE : PPT: Indeterminate Structural Analysis Notes | EduRev

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Approximate Analysis of
Statically Indeterminate
Structures
Every successful structure must
be capable of reaching stable
equilibrium under its applied
behavior.  Exact analysis of
indeterminate structures involves
computation of deflections and
solution of simultaneous
equations.  Thus, computer
programs are typically used.
Page 2

1
Approximate Analysis of
Statically Indeterminate
Structures
Every successful structure must
be capable of reaching stable
equilibrium under its applied
behavior.  Exact analysis of
indeterminate structures involves
computation of deflections and
solution of simultaneous
equations.  Thus, computer
programs are typically used.
2
To eliminate the difficulties
associated with exact analysis,
preliminary designs of indeter-
minate structures are often based
on the results of approximate
analysis.
Approximate analysis is based
on introducing deformation
and/or force distribution
assumptions into a statically
indeterminate structure, equal
in number to degree of indeter-
minacy, which maintains stable
equilibrium of the structure.
Page 3

1
Approximate Analysis of
Statically Indeterminate
Structures
Every successful structure must
be capable of reaching stable
equilibrium under its applied
behavior.  Exact analysis of
indeterminate structures involves
computation of deflections and
solution of simultaneous
equations.  Thus, computer
programs are typically used.
2
To eliminate the difficulties
associated with exact analysis,
preliminary designs of indeter-
minate structures are often based
on the results of approximate
analysis.
Approximate analysis is based
on introducing deformation
and/or force distribution
assumptions into a statically
indeterminate structure, equal
in number to degree of indeter-
minacy, which maintains stable
equilibrium of the structure.
3
No assumptions inconsistent
with stable equilibrium are
analysis.
Uses of approximate analysis
include:
(1) planning phase of projects,
when several alternative designs
of the structure are usually
evaluated for relative economy;
(2) estimating the various
member sizes needed to initiate
an exact analysis;
Page 4

1
Approximate Analysis of
Statically Indeterminate
Structures
Every successful structure must
be capable of reaching stable
equilibrium under its applied
behavior.  Exact analysis of
indeterminate structures involves
computation of deflections and
solution of simultaneous
equations.  Thus, computer
programs are typically used.
2
To eliminate the difficulties
associated with exact analysis,
preliminary designs of indeter-
minate structures are often based
on the results of approximate
analysis.
Approximate analysis is based
on introducing deformation
and/or force distribution
assumptions into a statically
indeterminate structure, equal
in number to degree of indeter-
minacy, which maintains stable
equilibrium of the structure.
3
No assumptions inconsistent
with stable equilibrium are
analysis.
Uses of approximate analysis
include:
(1) planning phase of projects,
when several alternative designs
of the structure are usually
evaluated for relative economy;
(2) estimating the various
member sizes needed to initiate
an exact analysis;
4
(3) check on exact analysis
results;
designs initially based on
approximate analysis; and
(5) provide the engineer with a
sense of how the forces
distribute through the structure.
Page 5

1
Approximate Analysis of
Statically Indeterminate
Structures
Every successful structure must
be capable of reaching stable
equilibrium under its applied
behavior.  Exact analysis of
indeterminate structures involves
computation of deflections and
solution of simultaneous
equations.  Thus, computer
programs are typically used.
2
To eliminate the difficulties
associated with exact analysis,
preliminary designs of indeter-
minate structures are often based
on the results of approximate
analysis.
Approximate analysis is based
on introducing deformation
and/or force distribution
assumptions into a statically
indeterminate structure, equal
in number to degree of indeter-
minacy, which maintains stable
equilibrium of the structure.
3
No assumptions inconsistent
with stable equilibrium are
analysis.
Uses of approximate analysis
include:
(1) planning phase of projects,
when several alternative designs
of the structure are usually
evaluated for relative economy;
(2) estimating the various
member sizes needed to initiate
an exact analysis;
4
(3) check on exact analysis
results;
designs initially based on
approximate analysis; and
(5) provide the engineer with a
sense of how the forces
distribute through the structure.
5
In order to determine the reac-
tions and internal forces for
indeterminate structures using
approximate equilibrium me-
thods, the equilibrium equations
must be supplemented by
enough equations of conditions
or assumptions such that the
resulting structure is stable and
statically determinate.
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Structural Analysis

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