## 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 28

Axis of symmetry rr 77$TT~ TTT llijil t t t I t I 0 iftlT (a) Two-span beam , Axis of

symmetry I ) H i mm iiiiii i "M* = P I R = P\JM (b) Portal frame Figure 1.9a-b

Response of

frequently ...

Axis of symmetry rr 77$TT~ TTT llijil t t t I t I 0 iftlT (a) Two-span beam , Axis of

symmetry I ) H i mm iiiiii i "M* = P I R = P\JM (b) Portal frame Figure 1.9a-b

Response of

**symmetric structures**to symmetric loading. design of structures arefrequently ...

Page 32

Vertical displacements at symmetric points on opposite sides of the axis will be

equal in magnitude but opposite in direction. The result is that ... For example, a

mathematical model of the left half of the

...

Vertical displacements at symmetric points on opposite sides of the axis will be

equal in magnitude but opposite in direction. The result is that ... For example, a

mathematical model of the left half of the

**symmetric structures**in Fig. 1.12 can be...

Page 34

The superposition of the symmetric and antisymmetric analyses of a

deformations are met. The analysis of

general ...

The superposition of the symmetric and antisymmetric analyses of a

**symmetric****structure**is possible only if the limitations of the principle of superposition ofdeformations are met. The analysis of

**symmetric structures**subjected to ageneral ...

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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