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 175
... simply supported beam is shown with the same end mo- ments and distributed load acting on it as on the frame member in Fig . 5.5a . The two equilibrium equations that are used to obtain the end reac- tions R and R are also shown . Again ...
... simply supported beam is shown with the same end mo- ments and distributed load acting on it as on the frame member in Fig . 5.5a . The two equilibrium equations that are used to obtain the end reac- tions R and R are also shown . Again ...
Page 176
... simply supported beam with loading q ( x ) and end moments MA and MB VA = VBq ( x ) dx = RB - | q ( x ) dx = RA | geride = garde 0 :: RA = VA ( c ) Equivalence of end shear forces in frame member and end reactions in simply supported ...
... simply supported beam with loading q ( x ) and end moments MA and MB VA = VBq ( x ) dx = RB - | q ( x ) dx = RA | geride = garde 0 :: RA = VA ( c ) Equivalence of end shear forces in frame member and end reactions in simply supported ...
Page 315
... simply supported beam , an envelope of the maxima of all possible influence lines for shear or moment can be found as shown in Fig . 8.7 . These envelopes are constructed by obtaining the maximum ordinate of an influence line for a ...
... simply supported beam , an envelope of the maxima of all possible influence lines for shear or moment can be found as shown in Fig . 8.7 . These envelopes are constructed by obtaining the maximum ordinate of an influence line for a ...
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