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 61
... distance be- tween the centroid of the plane body and the point of the summation of moments . The area of the loading diagram is the concentrated force of magnitude , Q , and the distance from the origin to the centroid of the loading ...
... distance be- tween the centroid of the plane body and the point of the summation of moments . The area of the loading diagram is the concentrated force of magnitude , Q , and the distance from the origin to the centroid of the loading ...
Page 192
... distance y above the x axis . The distances from AB to the top and bottom of the cross section are y , and y ,, respectively , and the depth of the cross section in the x - y plane is h ᎩᏏ . = In Fig . 6.2c the deformed member segment ...
... distance y above the x axis . The distances from AB to the top and bottom of the cross section are y , and y ,, respectively , and the depth of the cross section in the x - y plane is h ᎩᏏ . = In Fig . 6.2c the deformed member segment ...
Page 208
... distance dx is simply o dx = ( M / EI ) dx . If all of the infinitesimal vertical increments d ( d ) are summed , the result is the vertical distance dba . Thus integrating both sides of Eq . ( 6.11 ) yields b L'a = √ " ba = f2 a - ( b ...
... distance dx is simply o dx = ( M / EI ) dx . If all of the infinitesimal vertical increments d ( d ) are summed , the result is the vertical distance dba . Thus integrating both sides of Eq . ( 6.11 ) yields b L'a = √ " ba = f2 a - ( b ...
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