## 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 242

In applying the

will be analyzed in the same manner as those comprised of only one or two

members. 7.2 Principle of Virtual Work for Rigid Bodies The idea behind the

principle ...

In applying the

**virtual work principles**, structures fabricated from many memberswill be analyzed in the same manner as those comprised of only one or two

members. 7.2 Principle of Virtual Work for Rigid Bodies The idea behind the

principle ...

Page 244

The geometry of the rigid-body rotation of member A-B about A yields the vertical

upward displacement a/L(hvB) at the point of application of the load, P. According

to the

The geometry of the rigid-body rotation of member A-B about A yields the vertical

upward displacement a/L(hvB) at the point of application of the load, P. According

to the

**principle**of**virtual work**for rigid bodies, the work, W, done by the force ...Page 252

Equation (7.3) can also be obtained from mathematical treatments of total

potential energy, and this form of the

structures ...

Equation (7.3) can also be obtained from mathematical treatments of total

potential energy, and this form of the

**principle**is called simply**virtual work**. The**principle**of**virtual work**in this form is used to derive equilibrium conditions forstructures ...

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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