## 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 243

7.1a is loaded with a concentrated load. The vertical reactions can be obtained in

the usual manner by

7.1a is loaded with a concentrated load. The vertical reactions can be obtained in

the usual manner by

**summing moments**about each end of the beam.**Summing****moment**about the A end of the beam yields the upward reaction at the B end, ...Page 443

It is left as an exercise for the reader to show that

in Fig. 1 1 .7 gives rm, FFMAB + FEMM „ FEFAB = 54 + RAq and

identical to ...

It is left as an exercise for the reader to show that

**summing moments**about end Bin Fig. 1 1 .7 gives rm, FFMAB + FEMM „ FEFAB = 54 + RAq and

**summing****moments**about end A gives FEM,« + FFMBA FEFB, = 52 + Rsq which areidentical to ...

Page 565

Obtain the beam moments at each joint using moment equilibrium and

moments in the left bay are obtained. Because inflection points are assumed in ...

Obtain the beam moments at each joint using moment equilibrium and

**summing****moments**clockwise. Since all column moments are known from step 2, the beammoments in the left bay are obtained. Because inflection points are assumed in ...

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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