## Analysis and Behavior of StructuresOffering students a presentation of classical structural analysis, this text emphasizes the limitations required in creating mathematical models for analysis, including these used in computer programs. Students are encouraged to use hand methods of analysis to develop a feel for the behaviour of structures. |

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Page 34

A general loading on a symmetric structure can always be divided into the sum of

two loadings, one symmetric and the other antisymmetric with

of symmetry. Provided that the limitations of the principle of superposition of ...

A general loading on a symmetric structure can always be divided into the sum of

two loadings, one symmetric and the other antisymmetric with

**respect**to its axisof symmetry. Provided that the limitations of the principle of superposition of ...

Page 45

2.3b the two parallel links in the structure release the relative displacement

normal to the links of the right side of the structure with

indicated by the dashed lines. No force normal to the links can be transmitted, a

condition ...

2.3b the two parallel links in the structure release the relative displacement

normal to the links of the right side of the structure with

**respect**to the left asindicated by the dashed lines. No force normal to the links can be transmitted, a

condition ...

Page 196

For nonlinear materials the neutral axis will still coincide with the centroidal axis

when the cross section is symmetric with

the stress-strain relation itself is symmetric in tension and compression.

For nonlinear materials the neutral axis will still coincide with the centroidal axis

when the cross section is symmetric with

**respect**to both the y and z axes and ifthe stress-strain relation itself is symmetric in tension and compression.

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### Common terms and phrases

action analysis applied loads assumptions axial loads axis of symmetry behavior calculation centroidal chord column complementary virtual concentrated load conjugate beam constant cross section curvature diagram defined deformation system direct integration distributed load end moments equation of condition equations of equilibrium equilibrium equations Example Figure final moment diagram force in member forces and moments free body geometrically stable horizontal indeterminate influence line integration joint kips left end linear linear elastic loading diagram loads acting magnitude mathematical model maximum member forces ment method nonlinear materials numerical integration panel points portal frame positive reaction components rigid bodies rotation shown in Fig sign convention simply supported beam slope slope-deflection spreadsheet static determinacy statically determinate structures Step strains stress stress-strain relation struc structure of Fig summing moments superposition symmetric structure tion uniform load unit load unknown vertical deflection vertical displacement virtual force system virtual work principle zero