## 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 242

7.2 Principle of Virtual Work for

virtual work for

shown to follow from mathematical treatments of the variation of total potential ...

7.2 Principle of Virtual Work for

**Rigid Bodies**The idea behind the principle ofvirtual work for

**rigid bodies**is conservation of energy. While the principle can beshown to follow from mathematical treatments of the variation of total potential ...

Page 243

If a

small

zero. There are two important provisions of the principle that need to be pointed ...

If a

**rigid body**in equilibrium under the action of any force system is subjected to asmall

**rigid**-**body**displacement and rotation, the work done by the force system iszero. There are two important provisions of the principle that need to be pointed ...

Page 244

To compute RB, a small imagined or virtual displacement is assumed to occur at

B and in the same direction as RB, which causes the structure to rotate as a

To compute RB, a small imagined or virtual displacement is assumed to occur at

B and in the same direction as RB, which causes the structure to rotate as a

**rigid****body**about A. The displacement at B is labeled 8vB, with the "8" signifying that ...### What people are saying - Write a review

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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