## 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 494

1 2.5e, which gives rise to a reactive force, T, at B. This

response of the original structure of Fig. 12.5a to a downward concentrated force,

T, which yields the displacement, v, at B as shown in Fig. 12.5f. It is now possible

...

1 2.5e, which gives rise to a reactive force, T, at B. This

**solution**represents theresponse of the original structure of Fig. 12.5a to a downward concentrated force,

T, which yields the displacement, v, at B as shown in Fig. 12.5f. It is now possible

...

Page 495

2EI 'BA 2 X 0 + 0 - -[0 - (v)] 6£/v (12.4) The second operation in the 5,

simply a moment distribution using the moments caused by the arbitrary

displacement, v, and calculated by Eq. (12.4) as a set of unbalanced fixed end

moments ...

2EI 'BA 2 X 0 + 0 - -[0 - (v)] 6£/v (12.4) The second operation in the 5,

**solution**issimply a moment distribution using the moments caused by the arbitrary

displacement, v, and calculated by Eq. (12.4) as a set of unbalanced fixed end

moments ...

Page 501

forces at F from

forces are ... The

displacements are possible is outlined conceptually in Fig. 12.7 for a structure

where three ...

forces at F from

**solutions**S0 and 5, must be zero. In computing ot, the reactiveforces are ... The

**solution**of problems where multiple independent jointdisplacements are possible is outlined conceptually in Fig. 12.7 for a structure

where three ...

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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