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 332
... function f ( x ) is given approximately as b a [ * Ax ) dx = b = a [ { a ) + Ab ) ] S 2 ( 9.1 ) This formula is based on the idea that the function f ( x ) can be approximat- ed as a linear function in the interval from a to b and that ...
... function f ( x ) is given approximately as b a [ * Ax ) dx = b = a [ { a ) + Ab ) ] S 2 ( 9.1 ) This formula is based on the idea that the function f ( x ) can be approximat- ed as a linear function in the interval from a to b and that ...
Page 334
... function over the interval from a to b that is obtained by passing a straight line through the two indicated points ... function Eq . ( 9.2 ) if f ( x ) is a set of piecewise - constant or piecewise - linear functions Eqs . ( 9.3 ) and ...
... function over the interval from a to b that is obtained by passing a straight line through the two indicated points ... function Eq . ( 9.2 ) if f ( x ) is a set of piecewise - constant or piecewise - linear functions Eqs . ( 9.3 ) and ...
Page 612
... function from Fig . 15.3 for a prismatic member as an approxima- tion of the displaced shape of the member . The curvature function re- quired for the strain energy defined in Eq . ( 15.8c ) is obtained from the second derivative of the ...
... function from Fig . 15.3 for a prismatic member as an approxima- tion of the displaced shape of the member . The curvature function re- quired for the strain energy defined in Eq . ( 15.8c ) is obtained from the second derivative 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