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 139
... Slope = 0 Slope w = RA E Shear RD diagram Slope = RA 1 ° Slope = 0 2o Slope RD = 1o . Moment diagram STEP 1 Sketch the loading diagram starting with R , on the left and ending with A RD . For the structure and loading , the sense of R ...
... Slope = 0 Slope w = RA E Shear RD diagram Slope = RA 1 ° Slope = 0 2o Slope RD = 1o . Moment diagram STEP 1 Sketch the loading diagram starting with R , on the left and ending with A RD . For the structure and loading , the sense of R ...
Page 206
... slope is also the rotation , 0 , with respect to the horizontal at a point on the elastic curve of the member . Thus ... ( slope at b ) - ( slope at a ) = area under curvature function between a and b As can be seen in Fig . 6.5c , the ...
... slope is also the rotation , 0 , with respect to the horizontal at a point on the elastic curve of the member . Thus ... ( slope at b ) - ( slope at a ) = area under curvature function between a and b As can be seen in Fig . 6.5c , the ...
Page 219
... slope and vertical displacement of the elastic curve of the real beam at the same point . The computation of slopes and deflections of a beam is reduced to obtaining the variation of the shear and moment in a conjugate beam . The ...
... slope and vertical displacement of the elastic curve of the real beam at the same point . The computation of slopes and deflections of a beam is reduced to obtaining the variation of the shear and moment in a conjugate beam . The ...
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