Applications of the Finite Element Method to Beam-column Problems |
Contents
LINEAR STABILITY ANALYSIS OF BEAMCOLUMNS | 43 |
Flexural Geometric Stiffness Matrix | 51 |
11 | 56 |
1 other sections not shown
Common terms and phrases
analytical solutions application axis beam element beam theory boundary conditions Buckling Loads Buckling Modes centroidal-principal axes coefficients Comparison of Finite computed constitutive equations coordinates critical loads DEFLECTION derived determined displacement field Distributed Axial Loads eigenvalue elastic foundations elastic stiffness matrix Element and Analytical End Conditions Euler evaluated factor finite element analysis finite element method finite element model Finite Element Solution functions geometric nonlinearity geometric stiffness matrix given by Eq Hyperbolic Functions Incremental Method inertia kinematical large displacements Lateral Torsional Buckling linear stability load increment load vector moment of inertia nodes number of elements numerical obtained parameter Piecewise Prismatic Columns Pin Ends polynomial pretwisted beams pretwisted columns principal axes procedure shear center shear strain shown in Fig space frame strain components strain field strain-displacement relationship stress structural Tapered Beams Tapered Columns thin-walled beams Timoshenko torque torsional displacements transformation matrix twist Two-Component Columns variational principle warping