## 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 252

For this part an imagined or "

structure when the structure is subjected to a set of actual or "real" deformations.

In this part the

For this part an imagined or "

**virtual**"**force system**in equilibrium is acting on thestructure when the structure is subjected to a set of actual or "real" deformations.

In this part the

**virtual force system**and corresponding virtual stresses in ...Page 257

The application of these reduced forms of the internal virtual work for the

calculation of the deflections of trusses is ... The first system is the

truss.

The application of these reduced forms of the internal virtual work for the

calculation of the deflections of trusses is ... The first system is the

**virtual force****system**, which must be acting prior to the occurrence of the deformations of thetruss.

Page 266

establishes the vertical displacement of Lv Note again that the

two lower members L^-Lt, and L^-L2 in part (b) gives rise to internal work, Wm, ...

establishes the vertical displacement of Lv Note again that the

**virtual force****system**8Q vanishes at the end of the calculation. The temperature change in thetwo lower members L^-Lt, and L^-L2 in part (b) gives rise to internal work, Wm, ...

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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