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 598
... torsional action are shear strains , y , and stresses , T. A completely parallel development of strain and comple ... torsion , bending , and shear due to bending . From considerations of me- chanics of materials [ see also Table 1.1 and ...
... torsional action are shear strains , y , and stresses , T. A completely parallel development of strain and comple ... torsion , bending , and shear due to bending . From considerations of me- chanics of materials [ see also Table 1.1 and ...
Page 599
... torsion action , and v for vertical displacement in bending action are all functions of position along the length of the member . Using the definitions in the preceding paragraph , the strain energy in a member of length L becomes ...
... torsion action , and v for vertical displacement in bending action are all functions of position along the length of the member . Using the definitions in the preceding paragraph , the strain energy in a member of length L becomes ...
Page 600
... torsion action , = S 1 Τρ GJ 2 1 LT dA dx = - dx ( 15.9b ) Ο 2 GJ L 1 My L 1 M2 U1 = == dA dx == dx ( 15.9c ) E I 2 ΕΙ 0 due to bending action , and L 1 1 VQ 1 Cav2 ανε Uc = 2 Glb A dA dx = dx ( 15.9d ) 2 GA due to shear from bending ...
... torsion action , = S 1 Τρ GJ 2 1 LT dA dx = - dx ( 15.9b ) Ο 2 GJ L 1 My L 1 M2 U1 = == dA dx == dx ( 15.9c ) E I 2 ΕΙ 0 due to bending action , and L 1 1 VQ 1 Cav2 ανε Uc = 2 Glb A dA dx = dx ( 15.9d ) 2 GA due to shear from 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 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