Matrix Methods of Structural Analysis |
Other editions - View all
Common terms and phrases
a₁ a₂ applied approach array assembling assumed axial b₁ beam element BODYFY C₁ C₂ coefficients Cols computed Consider coordinates corresponding damping deformations degrees of freedom derived determined displacement method elastic element stiffness equations of equilibrium Example finite element finite element method flexibility freedom system given by Eq Hence internal forces iterative K₁ k₂ kinematic linear load increment load vector M₂ mass matrix mode shapes modulus multi-degree N₁ N₂ NBMAX NDFEL NEQMAX NFILE1 NMAT nodal forces nodal loads NODEL nonlinear Number of nodes numerical integration NUMGP obtain On+1 P₁ P₂ plane strain plane stress problems S₁ scheme shape functions shown in Fig shows solution solving stiffness matrix stiffness relations stress-strain stress-strain curve structural analysis SUBROUTINE tangent stiffness truss element u₁ u₂ values virtual virtual displacements yield condition zero