## 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 19

1 .6

structure, or portion of a structure, which has been set free from any displacement

restraints and shows all internal, external, and restraint forces and moments that

act.

1 .6

**Free**-**Body Diagrams**A**free**-**body diagram**is a diagram or sketch of astructure, or portion of a structure, which has been set free from any displacement

restraints and shows all internal, external, and restraint forces and moments that

act.

Page 128

The moment and shear

shown in the figure. The reactions can be obtained from the shear expression. At

x = 0, the shear is wL/6, which is equal to reaction J?i, as shown in the

...

The moment and shear

**diagrams**are plotted directly from these expressions asshown in the figure. The reactions can be obtained from the shear expression. At

x = 0, the shear is wL/6, which is equal to reaction J?i, as shown in the

**free**-**body**...

Page 289

The influence line

variation of the force or moment action and then ... The concept of obtaining

influence lines follows directly from equilibrium considerations in the

which ...

The influence line

**diagram**can be constructed simply by noting the manner ofvariation of the force or moment action and then ... The concept of obtaining

influence lines follows directly from equilibrium considerations in the

**free body**,which ...

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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