## 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 349

stress-strain relation or the

of n. As indicated in the discussion of Eq. (9.7), higher values of n make the

shape of the stress-strain relation more like that of the elastic-perfectly plastic

stress-strain relation or the

**nonlinear**relation of Eq. (9.7) for two different valuesof n. As indicated in the discussion of Eq. (9.7), higher values of n make the

shape of the stress-strain relation more like that of the elastic-perfectly plastic

**material**...Page 362

The principle of superposition is no longer valid for structures that have

members are not so large that the assumed simple deformation behavior from ...

The principle of superposition is no longer valid for structures that have

**nonlinear****materials**. • Sudden changes in cross-sectional properties in nonprismaticmembers are not so large that the assumed simple deformation behavior from ...

Page 416

10.7 Analysis of Indeterminate Structures with

introduction of a nonlinear stress-strain relation adds a significant complication to

the analysis of indeterminate structures. The discussion in this section is limited

to ...

10.7 Analysis of Indeterminate Structures with

**Nonlinear Materials**Theintroduction of a nonlinear stress-strain relation adds a significant complication to

the analysis of indeterminate structures. The discussion in this section is limited

to ...

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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