## 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 175

Figure 5.5 The equivalence of applied and reactive forces in a simple beam with

end moments, shears, and applied loads ... Thus loading a

member ...

Figure 5.5 The equivalence of applied and reactive forces in a simple beam with

end moments, shears, and applied loads ... Thus loading a

**simply supported****beam**with the same distributed load and end moments that act on a framemember ...

Page 176

Ra = VA (b) Equilibrium conditions on

in

Equivalence between force systems acting on a member of a frame and a ...

Ra = VA (b) Equilibrium conditions on

**simply**(c) Equivalence of end shear forcesin

**supported beam**with loading q(x) and end moments Ma and MB Figure 5.5a-cEquivalence between force systems acting on a member of a frame and a ...

Page 438

.c Loaded member MaB q(x) //hi 'a I VAB = Ra rb = t Equivalent

alone Support displacements and end rotations of equivalent simply supported ...

.c Loaded member MaB q(x) //hi 'a I VAB = Ra rb = t Equivalent

**simply supported****beam**-r y.v Member end displacements and rotations Moment diagram for A/abalone Support displacements and end rotations of equivalent simply supported ...

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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