## 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 36

The principle of superposition of deformations is limited to stable structures that

have

the action of all loadings. • The superposition of either force actions or ...

The principle of superposition of deformations is limited to stable structures that

have

**linear elastic**materials and undergo no significant geometry changes underthe action of all loadings. • The superposition of either force actions or ...

Page 225

The strains can be computed for

stress and E the modulus of elasticity of the material of the member. The variation

with x of the strains in the member is shown in Fig. 6. lOd and is simply obtained ...

The strains can be computed for

**linear elastic**materials as ct/E, where a is thestress and E the modulus of elasticity of the material of the member. The variation

with x of the strains in the member is shown in Fig. 6. lOd and is simply obtained ...

Page 606

In both Eqs. (15.14) and (15.15) the stress-strain relation can be either

nonlinear

energy and the complementary strain energy are equal. This can be seen in Fig.

In both Eqs. (15.14) and (15.15) the stress-strain relation can be either

**linear**ornonlinear

**elastic**. When the stress-strain relation is**linear**and**elastic**, the strainenergy and the complementary strain energy are equal. This can be seen in Fig.

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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