## 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

Response of symmetric structures to symmetric loading. design of structures are

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-bResponse of symmetric structures to symmetric loading. design of structures are

frequently ...

Page 29

more important consequence of symmetry is that the symmetry of deformation

provides conditions on deformations of members that cross the

The structures of Fig. 1 .9 are assumed to be stable and are shown in Fig. 1 . 1 0

as ...

more important consequence of symmetry is that the symmetry of deformation

provides conditions on deformations of members that cross the

**axis of symmetry**.The structures of Fig. 1 .9 are assumed to be stable and are shown in Fig. 1 . 1 0

as ...

Page 34

The analysis of

summarized in the following statement:

metric

loading on ...

The analysis of

**symmetric**structures subjected to a general loading can besummarized in the following statement:

**Axis**of horizontal**symmetry**+ Figuremetric

**Axis**of vertical**symmetry**1.14 Structural sym- about two**axes**. A generalloading on ...

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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