Matrix Methods of Structural Analysis |
Contents
Review | 1 |
Equilibrium and Determinate Structures | 36 |
Kinematics | 66 |
Copyright | |
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a₁ a₂ array assembled assumed axes backing store basic stiffness beam bending bending moments C₁ coefficients Cols column Consider coordinates corresponding derived determine direct stiffness method displacement method displacement vector elastic elongation end moments equations of equilibrium equivalent loads Example finite element fixing end forces flexibility matrix Gauss hinge integration internal forces joint displacements k₁ kinematic matrix kinematic relations load vector M₁ M₂ member deformations member end forces member forces N₁ nodal nodes numerical integration obtain P₁ P₂ plane frame plane strain plane stress plastic hinge problem procedure R₁ R₂ reactive forces redundants right hand side rotation shape functions shearing shown in Fig solution solving space frame statical stiffness matrix stiffness relations strains stresses structural analysis SUBROUTINE transformation u₁ U₂ values variables virtual virtual displacement write zero ΕΙ