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
Edwin C. Rossow. 9.2 Use of Numerical Integration in Deformation Calculations In situations where the variations of section properties is gradual , as shown in Fig . 9.1e and f , the curvature and strain functions can become very ...
Edwin C. Rossow. 9.2 Use of Numerical Integration in Deformation Calculations In situations where the variations of section properties is gradual , as shown in Fig . 9.1e and f , the curvature and strain functions can become very ...
Page 334
... integration . Additional information and other numerical integration expressions appear in Reference 19 . The accuracy of these numerical integration formulas is somewhat relat- ed to the fact that exact results are produced by ...
... integration . Additional information and other numerical integration expressions appear in Reference 19 . The accuracy of these numerical integration formulas is somewhat relat- ed to the fact that exact results are produced by ...
Page 337
Edwin C. Rossow. integration results . The numerical integration expressions in Eqs . ( 9.2 ) , ( 9.3 ) , ( 9.5 ) , and ( 9.6 ) are used , with the function g ( x ) being evaluated at three points in all but Eq . ( 9.5 ) , where only two ...
Edwin C. Rossow. integration results . The numerical integration expressions in Eqs . ( 9.2 ) , ( 9.3 ) , ( 9.5 ) , and ( 9.6 ) are used , with the function g ( x ) being evaluated at three points in all but Eq . ( 9.5 ) , where only two ...
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acting action analysis applied applied loads assumed assumptions axial force axis beam behavior bending calculation caused Chapter column components Compute condition constant continued create curvature defined deflection deformations developed direction displacement distribution Draw elastic end moments energy equal equations equilibrium equilibrium equations established Example expression Figure fixed force system frame free body function geometric gives hinge horizontal indeterminate structure influence line integration internal joint length limitations linear load magnitude material mathematical matrix maximum member forces ments method Note obtained occur plane positive presented principle Problem provides reaction relation relative rotation shear shown in Fig simple slope solution solve statically determinate STEP stiffness strain stresses structure symmetric Table tion truss unit load unknown vertical virtual yields zero ΕΙ