## 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 6

Neither the magnitude and variation of the loads, the modeling of the stress-strain

relation, nor the member deformation behavior can be represented exactly in

mathematical form, which means that the

Neither the magnitude and variation of the loads, the modeling of the stress-strain

relation, nor the member deformation behavior can be represented exactly in

mathematical form, which means that the

**mathematical model**is an imperfect ...Page 7

The

differential equations. ... The replacement of a real structure with a

...

The

**mathematical models**for these structures require the solution of partialdifferential equations. ... The replacement of a real structure with a

**mathematical****model**which adequately reflects the actual behavior of the real structure is a task...

Page 10

The

the results of any analysis using the model are also in error. Although it is

possible to find the exact solution of the equations of the

the ...

The

**mathematical model**based on these assumptions being satisfied is in error;the results of any analysis using the model are also in error. Although it is

possible to find the exact solution of the equations of the

**mathematical model**ofthe ...

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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