## 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 92

The resolution of the inclined member force, F,, into horizontal and vertical

components permits the direct

horizontal equilibrium equation. The

and 2 is ...

The resolution of the inclined member force, F,, into horizontal and vertical

components permits the direct

**calculation**of the force in this member from thehorizontal equilibrium equation. The

**calculation**of the reaction components at 1and 2 is ...

Page 246

For the

which causes a rigid- body rotation of B-C about B since A-B remains fixed at A.

For the

For the

**calculation**of Rc in step 2 a vertical displacement, 8vc, is introduced at Cwhich causes a rigid- body rotation of B-C about B since A-B remains fixed at A.

For the

**calculation**of RA in step 3 a vertical deflection, 8vA, is introduced at A ...Page 271

7.8 Use of Integration Charts to Compute Internal Work In Examples 7.5 and 7.6

the internal work

variation of the moment from the force system and the curvature from the

deformation ...

7.8 Use of Integration Charts to Compute Internal Work In Examples 7.5 and 7.6

the internal work

**calculation**required the integration of the product of thevariation of the moment from the force system and the curvature from the

deformation ...

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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