## 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 224

R = 8£Y cB 96£/ 192£/ I92£/ 5 1 ") mcb Step 3 Take a free body of portion A-B of

the conjugate beam and sum mo- '

the deflection vB. The wL3 ' change in slope at the hinge is simply the reaction, ...

R = 8£Y cB 96£/ 192£/ I92£/ 5 1 ") mcb Step 3 Take a free body of portion A-B of

the conjugate beam and sum mo- '

**ments**to obtain McB, which corresponds tothe deflection vB. The wL3 ' change in slope at the hinge is simply the reaction, ...

Page 293

... free body C to B. M 2A/C: /fa • L - 1 • r = 0 /?B = 1 • - .-. /JB linear unit load in

free body (C- B) ( 1 ) RB = 0 unit load outside free body (A - C) (2)

determined directly by the nature of the loading 293 Sec. 8.2 Influence Lines for

Beams.

... free body C to B. M 2A/C: /fa • L - 1 • r = 0 /?B = 1 • - .-. /JB linear unit load in

free body (C- B) ( 1 ) RB = 0 unit load outside free body (A - C) (2)

**ment**aredetermined directly by the nature of the loading 293 Sec. 8.2 Influence Lines for

Beams.

Page 295

by the specified configuration of the applied loading. In the present case the

loading is not fixed, but variable, due to the unspecified position of the unit load.

**ment**are determined directly by the nature of the loading diagram, which is fixedby the specified configuration of the applied loading. In the present case the

loading is not fixed, but variable, due to the unspecified position of the unit load.

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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