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 60
... Distributed Loads There are no conceptual differences between the analysis of structures for reactions when they are subjected to distributed rather than concentrated loads . It is , however , useful to discuss some techniques for the ...
... Distributed Loads There are no conceptual differences between the analysis of structures for reactions when they are subjected to distributed rather than concentrated loads . It is , however , useful to discuss some techniques for the ...
Page 61
... Loading diagram for general distributed load Q = area under loading diagram ( b ) Sum of forces with distributed load b ΣΜΟ ( x ) a x Centroid of loading diagram - xo ) dx = q ( x ) x dx - xoq ( x ) dx = XQ - x0Q = ( x - xo ) Q Figure ...
... Loading diagram for general distributed load Q = area under loading diagram ( b ) Sum of forces with distributed load b ΣΜΟ ( x ) a x Centroid of loading diagram - xo ) dx = q ( x ) x dx - xoq ( x ) dx = XQ - x0Q = ( x - xo ) Q Figure ...
Page 297
... distributed load is treated as a live load ( i.e. , it can act over one or more different portions of the structure ) , the assumption is made that at some time in the life of the structure the load will be distributed on the structure ...
... distributed load is treated as a live load ( i.e. , it can act over one or more different portions of the structure ) , the assumption is made that at some time in the life of the structure the load will be distributed on the structure ...
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