## 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 197

Loads will pass through the shear center and

This limitation can be relaxed without significant error if the y axis is a principal

axis, but then the possibility of

Loads will pass through the shear center and

**bending**without twisting will occur.This limitation can be relaxed without significant error if the y axis is a principal

axis, but then the possibility of

**bending**and twisting of the member can occur as ...Page 199

The interaction of axial force and

and Eq. (6.9) used for

remain small. No instability of the beam occurs under the action of

The interaction of axial force and

**bending**for linear materials can be neglectedand Eq. (6.9) used for

**bending**as long as axial forces, displacements, and slopesremain small. No instability of the beam occurs under the action of

**bending**.Page 326

The interaction of axial force and

nonlinear than for linear materials. As a consequence, the computation of

deformations of members with nonlinear materials will be limited to those due to

axial ...

The interaction of axial force and

**bending**becomes much more complicated fornonlinear than for linear materials. As a consequence, the computation of

deformations of members with nonlinear materials will be limited to those due to

axial ...

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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