## 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 495

The

distribution solution. The 50 solution is completed in

reactive force required to prevent the vertical displacement of B being computed

as 144 kN in ...

The

**step**-by-**step**procedure presents the detailed analysis in the momentdistribution solution. The 50 solution is completed in

**steps**1 and 2 with thereactive force required to prevent the vertical displacement of B being computed

as 144 kN in ...

Page 571

The method of analysis that is followed in the cantilever method is three-

First, the axial forces are obtained in all columns using Eqs. ( 14. 1) and (14.2).

The second

started ...

The method of analysis that is followed in the cantilever method is three-

**step**.First, the axial forces are obtained in all columns using Eqs. ( 14. 1) and (14.2).

The second

**step**is to compute the shear forces in the beams. This process isstarted ...

Page 649

The

... The displacements obtained for joint 3 in

assumption of no essential change in geometry of the structure is indeed satisfied

.

The

**steps**in the process exactly parallel the sequence of operations in Fig. 1 6.4.... The displacements obtained for joint 3 in

**step**6 are very small, and theassumption of no essential change in geometry of the structure is indeed satisfied

.

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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