## 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 56

In Examples 2.1 and 2.2 it was assumed (correctly) that the structures in those

examples were

successfully. In Sections 2.1 and 2.2 it was also shown that a count of the number

...

In Examples 2.1 and 2.2 it was assumed (correctly) that the structures in those

examples were

**geometrically stable**, and hence the reactions could be computedsuccessfully. In Sections 2.1 and 2.2 it was also shown that a count of the number

...

Page 165

Similar to trusses, the following concept applies to frames: If, in a frame, the

number of unknowns is less than the sum of the number of equations of

equilibrium and condition, the frame is geometrically unstable. If, in a

Similar to trusses, the following concept applies to frames: If, in a frame, the

number of unknowns is less than the sum of the number of equations of

equilibrium and condition, the frame is geometrically unstable. If, in a

**geometrically stable**...Page 371

The degree of indeterminacy, p, of

3.5) and of

indeterminacy of p indicates that there are an excess of p restraints beyond what

is ...

The degree of indeterminacy, p, of

**geometrically stable**trusses is given by Eq. (3.5) and of

**geometrically stable**beams and frames by Eq. (5.2). A degree ofindeterminacy of p indicates that there are an excess of p restraints beyond what

is ...

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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