PPT: Indeterminate Structural Analysis Notes | EduRev

Structural Analysis

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 Page 1


1
Approximate Analysis of 
Statically Indeterminate 
Structures
Every successful structure must 
be capable of reaching stable 
equilibrium under its applied 
loads, regardless of structural 
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 
loads, regardless of structural 
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 
loads, regardless of structural 
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 
admissible in any approximate 
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 
loads, regardless of structural 
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 
admissible in any approximate 
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; 
(4) upgrades for older structure 
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 
loads, regardless of structural 
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 
admissible in any approximate 
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; 
(4) upgrades for older structure 
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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