## 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 297

Now that the method of calculation of a force or moment action, Q, has been

established using influence lines, it is a simple matter to extend the ideas to

include the calculation of the absolute

loading.

Now that the method of calculation of a force or moment action, Q, has been

established using influence lines, it is a simple matter to extend the ideas to

include the calculation of the absolute

**maximum**possible value of Q for a givenloading.

Page 315

shear or moment and the point in the member where that

each point in a beam there is a particular distribution of live loading combined

with the dead loading that causes a

shear or moment and the point in the member where that

**maximum**occurs. Foreach point in a beam there is a particular distribution of live loading combined

with the dead loading that causes a

**maximum**shear or moment at that point.Page 318

one of the loads, P., the absolute

when P is at the center of the beam. 8.8 Summary and Limitations Influence lines

are graphical presentations of the variation of force or moment actions, such as ...

one of the loads, P., the absolute

**maximum**moment may occur under P] andwhen P is at the center of the beam. 8.8 Summary and Limitations Influence lines

are graphical presentations of the variation of force or moment actions, such as ...

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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