## 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 332

9.2 Use of

the variations of section properties is gradual, as shown in Fig. 9.1e and f, the

curvature and strain functions can become very complicated and direct

integration ...

9.2 Use of

**Numerical Integration**in Deformation Calculations In situations wherethe variations of section properties is gradual, as shown in Fig. 9.1e and f, the

curvature and strain functions can become very complicated and direct

integration ...

Page 334

Additional information and other

Reference 19. The accuracy of these

related to the fact that exact results are produced by: • Eq. (9. 1 ) if fix) is constant

or ...

Additional information and other

**numerical integration**expressions appear inReference 19. The accuracy of these

**numerical integration**formulas is somewhatrelated to the fact that exact results are produced by: • Eq. (9. 1 ) if fix) is constant

or ...

Page 337

integration results. The

), and (9.6) are used, with the function g(x) being evaluated at three points in all

but Eq. (9.5), where only two points are used. The

integration results. The

**numerical integration**expressions in Eqs. (9.2), (9.3) , (9.5), and (9.6) are used, with the function g(x) being evaluated at three points in all

but Eq. (9.5), where only two points are used. The

**numerical integration**results ...### What people are saying - Write a review

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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