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 364
Edwin C. Rossow. 9.9 The cantilever beam is made with a W section of lin- early varying depth and constant modulus E. ( a ) Determine the moment of inertia of the beam as a function of x . ( b ) For the loading shown , obtain an ...
Edwin C. Rossow. 9.9 The cantilever beam is made with a W section of lin- early varying depth and constant modulus E. ( a ) Determine the moment of inertia of the beam as a function of x . ( b ) For the loading shown , obtain an ...
Page 421
... cantilever beam . Use the method of consistent deformations and reduce the structure to the cantilever beam with an unknown upward load applied to the left end . Obtain moments and then curvatures from Eq . ( 9.19 ) to identify the ...
... cantilever beam . Use the method of consistent deformations and reduce the structure to the cantilever beam with an unknown upward load applied to the left end . Obtain moments and then curvatures from Eq . ( 9.19 ) to identify the ...
Page 612
... cantilever beam has a moment of inertia that varies linearly . The strain energy is established using the boxed cubic displace- ment function from Fig . 15.3 for a prismatic member as an approxima- tion of the displaced shape of the ...
... cantilever beam has a moment of inertia that varies linearly . The strain energy is established using the boxed cubic displace- ment function from Fig . 15.3 for a prismatic member as an approxima- tion of the displaced shape of 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