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.Read More

Offer running on EduRev: __Apply code STAYHOME200__ to get INR 200 off on our premium plan EduRev Infinity!

30 videos|122 docs|28 tests