## 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 233

A sense of the magnitude or significance of this

compared to the

the action of normal service loads. In steel members these

0.0006 ...

A sense of the magnitude or significance of this

**strain**can be obtained if it iscompared to the

**strains**that exist in well-designed axially loaded members underthe action of normal service loads. In steel members these

**strains**are about0.0006 ...

Page 255

7.4b, the

to the internal moment, MP, are the curvature, Mp/El multiplied by — v. The

mechanical

causes, e< ...

7.4b, the

**strains**due to the internal axial force, FP, are FP/AE and the**strains**dueto the internal moment, MP, are the curvature, Mp/El multiplied by — v. The

mechanical

**strains**become FP MP(x)y AE El (7.8) The**strains**due to othercauses, e< ...

Page 598

modulus of elasticity E, the stress-

relation is e = a/E. Substituting these relations into Eqs. (15.1) and (15.3), the

Ee2 ...

modulus of elasticity E, the stress-

**strain**relation is ct = £e and the**strain**-stressrelation is e = a/E. Substituting these relations into Eqs. (15.1) and (15.3), the

**strain**energy and complementary**strain**energy densities become r° a EZdZ=X-Ee2 ...

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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