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 234
... given in Eq . ( 6.13 ) . The computation of displacements due to axial strains utilizing Eq . ( 6.13 ) can be applied to both linear and nonlinear materials . The displace- ments are computed in a simple manner by finding the area under ...
... given in Eq . ( 6.13 ) . The computation of displacements due to axial strains utilizing Eq . ( 6.13 ) can be applied to both linear and nonlinear materials . The displace- ments are computed in a simple manner by finding the area under ...
Page 251
... Eq . ( 7.1 ) yields W1 = w1 = [ ( σε + τγ ) dV ( 7.2 ) The mathematical statement of the virtual work principle can now be presented . The internal work given by Eq . ( 7.2 ) arises from the stresses σ and associated with any force ...
... Eq . ( 7.1 ) yields W1 = w1 = [ ( σε + τγ ) dV ( 7.2 ) The mathematical statement of the virtual work principle can now be presented . The internal work given by Eq . ( 7.2 ) arises from the stresses σ and associated with any force ...
Page 343
... Eq . ( 9.7 ) , n = 4 Idealized Fig . 9.2c - Eq . ( 9.7 ) , n = 2 Eq . ( 9.7 ) , n = 1 0.3 0.2 0.1 0.0 2 8 10 12 Nondimensional strain , ε / E0 14 16 18 Figure 9.3 Modified form of the Ramberg - Osgood stress - strain rela- tion given by Eq ...
... Eq . ( 9.7 ) , n = 4 Idealized Fig . 9.2c - Eq . ( 9.7 ) , n = 2 Eq . ( 9.7 ) , n = 1 0.3 0.2 0.1 0.0 2 8 10 12 Nondimensional strain , ε / E0 14 16 18 Figure 9.3 Modified form of the Ramberg - Osgood stress - strain rela- tion given by Eq ...
Common terms and phrases
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