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 197
... bending without twisting will occur . This limitation can be relaxed without significant error if the y axis is a principal axis , but then the possibility of bending and twisting of the member can occur as well as deflection of the ...
... bending without twisting will occur . This limitation can be relaxed without significant error if the y axis is a principal axis , but then the possibility of bending and twisting of the member can occur as well as deflection of the ...
Page 199
... bending for linear materials can be neglected and Eq . ( 6.9 ) used for bending as long as axial forces , displacements , and slopes remain small . No instability of the beam occurs under the action of bending . In the development of ...
... bending for linear materials can be neglected and Eq . ( 6.9 ) used for bending as long as axial forces , displacements , and slopes remain small . No instability of the beam occurs under the action of bending . In the development of ...
Page 326
... bending becomes much more compli- cated for nonlinear than for linear materials . As a consequence , the com- putation of deformations of members with nonlinear materials will be lim- ited to those due to axial force action alone or bending ...
... bending becomes much more compli- cated for nonlinear than for linear materials . As a consequence , the com- putation of deformations of members with nonlinear materials will be lim- ited to those due to axial force action alone or bending ...
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