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 4
... mathematical model of a structure and evaluate structural performance by studying the effects of varying different parameters in the model . Even if it is possible to perform physical tests of a portion or all of the structure at any ...
... mathematical model of a structure and evaluate structural performance by studying the effects of varying different parameters in the model . Even if it is possible to perform physical tests of a portion or all of the structure at any ...
Page 6
... mathematical form , which means that the mathematical model is an imperfect idealization of the structure . In the mathematical model described above , the internal variation of axial forces , shears , moments , and stresses and the ...
... mathematical form , which means that the mathematical model is an imperfect idealization of the structure . In the mathematical model described above , the internal variation of axial forces , shears , moments , and stresses and the ...
Page 7
... mathematical models for these structures require the solution of partial differential equations . The third type of structure is basically a hybrid of the first two types . Long , slender structural ... Mathematical Model of a Single Member.
... mathematical models for these structures require the solution of partial differential equations . The third type of structure is basically a hybrid of the first two types . Long , slender structural ... Mathematical Model of a Single Member.
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