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
... virtual work principle , which is a computationally powerful technique for evaluating structural behavior . The principles of virtual work and complementary virtual work will be developed in a general form , but their application to ...
... virtual work principle , which is a computationally powerful technique for evaluating structural behavior . The principles of virtual work and complementary virtual work will be developed in a general form , but their application to ...
Page 244
... of RB Figure 7.1a - c Reaction computation by virtual work principle for rigid bodies . A W = 0 RASVA - P ( b / L ) Svμ = 0 RA = P ( b / L ) ( c ) Computation of RA RB q ( x ) B A Th L ( a 244 Ch . 7 Deformation of Structures : Virtual ...
... of RB Figure 7.1a - c Reaction computation by virtual work principle for rigid bodies . A W = 0 RASVA - P ( b / L ) Svμ = 0 RA = P ( b / L ) ( c ) Computation of RA RB q ( x ) B A Th L ( a 244 Ch . 7 Deformation of Structures : Virtual ...
Page 252
... virtual force system will enable the calculation of any deflection or rotation at any point in a structure . Although simple in concept , Eq . ( 7.4 ) and subsequent equations 252 Ch . 7 Deformation of Structures : Virtual Work.
... virtual force system will enable the calculation of any deflection or rotation at any point in a structure . Although simple in concept , Eq . ( 7.4 ) and subsequent equations 252 Ch . 7 Deformation of Structures : Virtual Work.
Common terms and phrases
action analysis antisymmetric applied loads assumption axial loads calculation centroidal column complementary virtual Compute concentrated load conjugate beam constant cross section curvature diagram defined deformation system direct integration displacements and rotations distributed load Draw the final end moments equations of equilibrium equilibrium equations Example Figure final moment diagram forces and moments free body hinge horizontal indeterminate structure influence line integration joint kips kN/m left end linear linear elastic loading diagram magnitude mathematical model maximum member A-B member forces ment moment distribution moment of inertia Neglect axial deformations nonlinear materials nonprismatic numerical integration panel points positive reaction components shown in Fig sign convention simply supported beam slope spreadsheet statically determinate structures STEP strain energy stress stress-strain relation struc superposition tion truss U₁ uniform load unit load vertical deflection vertical displacement virtual force system virtual work principle zero ΕΙ