## 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 140

The change in shear is simply the area under the loading diagram between the

two points. If a

can be used in the regions on either side of the load. Then, in passing from the

left ...

The change in shear is simply the area under the loading diagram between the

two points. If a

**concentrated load**is present, the concept expressed in Eq. (4.4)can be used in the regions on either side of the load. Then, in passing from the

left ...

Page 297

For a single

acts on the structure at a point where the ordinate to the influence line for Q is an

absolute maximum. Distributed loads can act over any length of the structure.

For a single

**concentrated load**, the maximum value of Q is given when the loadacts on the structure at a point where the ordinate to the influence line for Q is an

absolute maximum. Distributed loads can act over any length of the structure.

Page 316

moment will occur at the center of the beam and with the

center. These observations can be derived directly from a careful examination of

the envelopes of the influence lines for shear and moment for the simply ...

moment will occur at the center of the beam and with the

**concentrated load**at thecenter. These observations can be derived directly from a careful examination of

the envelopes of the influence lines for shear and moment for the simply ...

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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