## 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 291

Example 8.1 (continued) STEP 2 Influence line for RB: Use the entire structure as

a

(2) STEP 3 Influence line for Mc: Cut the beam at C and isolate the

Example 8.1 (continued) STEP 2 Influence line for RB: Use the entire structure as

a

**free body**and sum moments about A. 1MA: 1 . x - RBL = 0 R„ = 1 • | .-. RB linear(2) STEP 3 Influence line for Mc: Cut the beam at C and isolate the

**free body**to ...Page 301

An important difference in developing the influence lines for trusses is the

treatment of the unit load in the

particular truss member. Conceptually, the unit load can either be in the

or ...

An important difference in developing the influence lines for trusses is the

treatment of the unit load in the

**free body**, which is used to isolate the force in aparticular truss member. Conceptually, the unit load can either be in the

**free body**or ...

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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