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 195
... Assumptions and Limitations of Simple Bending Theory Several explicit assumptions have been made in establishing Eq . ( 6.9 ) , which is the basic mathematical model used to simulate the deformation be- havior of beams made from linear ...
... Assumptions and Limitations of Simple Bending Theory Several explicit assumptions have been made in establishing Eq . ( 6.9 ) , which is the basic mathematical model used to simulate the deformation be- havior of beams made from linear ...
Page 560
... assumptions in ( b ) For structures having multiple bays and stories the assumption of inflection points in the center of beams and columns does not provide a sufficient number of conditions to reduce the structure to a statically ...
... assumptions in ( b ) For structures having multiple bays and stories the assumption of inflection points in the center of beams and columns does not provide a sufficient number of conditions to reduce the structure to a statically ...
Page 562
... assumptions ; two more are required to complete the analysis . The two assumptions about the shear developed in two of the bays being 3P and 3P in the third bay by horizontal equilibrium are shown in Fig . 14.8b . The column shears for ...
... assumptions ; two more are required to complete the analysis . The two assumptions about the shear developed in two of the bays being 3P and 3P in the third bay by horizontal equilibrium are shown in Fig . 14.8b . The column shears for ...
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 slope-deflection equations spreadsheet statically determinate structures STEP strain energy stress stress-strain relation struc superposition tion truss uniform load unit load vertical deflection vertical displacement virtual force system virtual work principle zero ΕΙ