## 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 296

Indeterminate structures will have influence lines that are generally curved in

nature, as shown in a later chapter. 8.3 Use of the Influence Line to Obtain the

Single ...

Indeterminate structures will have influence lines that are generally curved in

nature, as shown in a later chapter. 8.3 Use of the Influence Line to Obtain the

**Magnitude**of a Force or Moment Action for a General Loading Q = PXL(xP) (a)Single ...

Page 297

The great advantage of influence lines is that once they are established, the

loading with relative ease. A simple example of the application of influence lines

to ...

The great advantage of influence lines is that once they are established, the

**magnitude**and sense of a stress quantity can be obtained for any arbitraryloading with relative ease. A simple example of the application of influence lines

to ...

Page 318

Influence lines are constructed through the use of equilibrium equations which

express the

unit load on the structure. Influence lines for reactions are nearly always ...

Influence lines are constructed through the use of equilibrium equations which

express the

**magnitude**of a force or moment action as a function of position of theunit load on the structure. Influence lines for reactions are nearly always ...

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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