## 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 206

If both sides of Eq. (6.8) or (6.9) are integrated between two points, say a and b.

the left side integrates to the first derivative, which is the

elastic curve of the member. This

If both sides of Eq. (6.8) or (6.9) are integrated between two points, say a and b.

the left side integrates to the first derivative, which is the

**slope**of a tangent to theelastic curve of the member. This

**slope**is also the rotation, 6, with respect to the ...Page 219

The computation of

can be done by analyzing a conjugate beam having an applied elastic load that

varies as the curvature of the real beam. The correspondence in behavior is that

...

The computation of

**slopes**and deflections of a beam subject to applied loadscan be done by analyzing a conjugate beam having an applied elastic load that

varies as the curvature of the real beam. The correspondence in behavior is that

...

Page 354

The end

area theorems, although the conjugate beam method can also be used. The

expressions for 6 and v will reduce to those for a linear material at very small

values of ...

The end

**slope**or rotation and displacement are obtained using the curvature-area theorems, although the conjugate beam method can also be used. The

expressions for 6 and v will reduce to those for a linear material at very small

values of ...

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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