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 217
... Conjugate Beam Analysis Computation of beam deformations by the curvature - area theorems is sim- ple for cantilever beams and only slightly more complicated for simply sup ... Conjugate Beam Analysis Elastic Load Conjugate Beam Analysis.
... Conjugate Beam Analysis Computation of beam deformations by the curvature - area theorems is sim- ple for cantilever beams and only slightly more complicated for simply sup ... Conjugate Beam Analysis Elastic Load Conjugate Beam Analysis.
Page 219
... conjugate beam having an applied elastic load that varies as the curvature of the real beam . The correspondence in behavior is that shear and moment at any point in the conjugate beam is equal to the slope and vertical displacement of ...
... conjugate beam having an applied elastic load that varies as the curvature of the real beam . The correspondence in behavior is that shear and moment at any point in the conjugate beam is equal to the slope and vertical displacement of ...
Page 221
Edwin C. Rossow. Real beam Positive displacement Χ Χ Mc Conjugate beam Positive moment Vc ว L Ve X x Positive slope Positive shear Figure 6.9 Sign convention used for positive deformations in real beam and corresponding positive internal ...
Edwin C. Rossow. Real beam Positive displacement Χ Χ Mc Conjugate beam Positive moment Vc ว L Ve X x Positive slope Positive shear Figure 6.9 Sign convention used for positive deformations in real beam and corresponding positive internal ...
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