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 131
... integration are being evaluated . There are alternative methods of using direct integration in these situations as illustrated in References 7 and 17 . 4.4 Drawing Shear and Moment Diagrams Using Equilibrium Directly The drawing of ...
... integration are being evaluated . There are alternative methods of using direct integration in these situations as illustrated in References 7 and 17 . 4.4 Drawing Shear and Moment Diagrams Using Equilibrium Directly The drawing of ...
Page 201
... Direct Integration Once the variation of the curvature , or for linear materials the moment , along the axis of a member is known , the displacements of the centroidal axis of the member can be obtained from Eq . ( 6.9 ) . Direct ...
... Direct Integration Once the variation of the curvature , or for linear materials the moment , along the axis of a member is known , the displacements of the centroidal axis of the member can be obtained from Eq . ( 6.9 ) . Direct ...
Page 236
... direct integration to obtain the deflection at C and in the center of span A - B ( E = 20 GPa , I = 120 × 10 mm1 ) . TIT 3'2 ' 5 ' — d -5'- 6.6 Use the curvature - area theorems to locate the point of maximum deflection and compute the ...
... direct integration to obtain the deflection at C and in the center of span A - B ( E = 20 GPa , I = 120 × 10 mm1 ) . TIT 3'2 ' 5 ' — d -5'- 6.6 Use the curvature - area theorems to locate the point of maximum deflection and compute 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