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 271
... integration step in the in- ternal work calculation . The moment and the curvature diagrams must be constructed ... integration of the product of two such defined diagrams over the same length must also be uniquely defined in terms of ...
... integration step in the in- ternal work calculation . The moment and the curvature diagrams must be constructed ... integration of the product of two such defined diagrams over the same length must also be uniquely defined in terms of ...
Page 332
... integration . For many applications , the error of numerical integration is sufficiently small so as to be of no practical significance . Computer pro- grams for structural analysis that incorporate nonprismatic members also use some ...
... integration . For many applications , the error of numerical integration is sufficiently small so as to be of no practical significance . Computer pro- grams for structural analysis that incorporate nonprismatic members also use some ...
Page 334
... integration . Additional information and other numerical integration expressions appear in Reference 19 . The accuracy of these numerical integration formulas is somewhat relat- ed to the fact that exact results are produced by ...
... integration . Additional information and other numerical integration expressions appear in Reference 19 . The accuracy of these numerical integration formulas is somewhat relat- ed to the fact that exact results are produced by ...
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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