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 27
... superposition . Since the strains Ep and ε yield the displace- ments Ap and △ , the deflection of the center of the beam , A , with both loads acting is also obtained by superposition . P W The principle of superposition of ...
... superposition . Since the strains Ep and ε yield the displace- ments Ap and △ , the deflection of the center of the beam , A , with both loads acting is also obtained by superposition . P W The principle of superposition of ...
Page 34
... superposition of deformations are met , the analysis of a stable , symmetric structure can be obtained as the superposition of the analyses of the symmetrically and an- tisymmetrically loaded halves of the structure . From the ...
... superposition of deformations are met , the analysis of a stable , symmetric structure can be obtained as the superposition of the analyses of the symmetrically and an- tisymmetrically loaded halves of the structure . From the ...
Page 177
... Superposition of load systems in frame member MA L RBq Mq ( x ) = -RAqX + q ( t ) ( x - t ) dt ( a ) Superposition of load systems in simply supported beam MMA ( x ) = MA- MAX L MMB ( X ) = MB- MBX L ( b ) Superposition of moment ...
... Superposition of load systems in frame member MA L RBq Mq ( x ) = -RAqX + q ( t ) ( x - t ) dt ( a ) Superposition of load systems in simply supported beam MMA ( x ) = MA- MAX L MMB ( X ) = MB- MBX L ( b ) Superposition of moment ...
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