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GFAS – User manual

Formulation of the beam-column elements

GFAS – User manual

GFAS
Contents
Introduction
Introduction
- Overview
- Analysis capabilities
Mesh generation
Mesh generation
- Introduction
- Structured mesh generation
  Structured mesh generation
- Unstructured mesh generation
- Mesh editing
  Mesh editing
  - Index
  - Mesh refinement
    Mesh refinement
    
    Local mesh refinement
    
    Global mesh refinement
  - Deleting meshes
  - Nodes renumbering
  - Transforming meshes (p-refinement)
Formulation of the element matrices and vectors for elasticity problem
Formulation of the element matrices and vectors for elasticity problem
- Index
- Equilibrium equations
- Boundary conditions
- Strain-Displacement Relations
- A General Formula for the Stiffness Matrix
  A General Formula for the Stiffness Matrix
- Finite element types
  Finite element types
- Numerical integration in finite elements
- Stress calculation
- Consistent element nodal loads
  Consistent element nodal loads
- Assembly and storage strategy
- Incorporation of boundary conditions
  Incorporation of boundary conditions
- Solution of equilibrium equations
Formulation of the beam-column elements
Formulation of the beam-column elements
- Index
- Bar or truss elements
- Two-noded beam-column element
- Joining beam-column elements to plane elements. Dissimilar elements.
  Joining beam-column elements to plane elements. Dissimilar elements.
  - Index
  - Beam-column element connected to a plane element
  - Truss element connected to a plane element
  - Bolts elements
    Bolts elements
    
    Index
    
    End anchored bolts
    
    Fully bonded bolts
    
    Liner elements
    
    Geogrid elements
Nonlinear analysis formulation
Nonlinear analysis formulation
- Inelastic stress-strain behavior
  Inelastic stress-strain behavior
- Incremental stress-strain relations
- Failure criteria
  Failure criteria
- Elastic-plastic procedures
  Elastic-plastic procedures
  - Index
  - Constant-stiffness method
    Constant-stiffness method
    
    Index
    
    Generation of self-equilibrating body loads
    
    Initial strain method
    
    Initial stress method
    
    Solution procedure
  - Tangent (variable)-stiffness method
    Tangent (variable)-stiffness method
    
    Index
    
    Integration of the constitutive relations. Consistent tangent matrix
    
    Solution procedure
Steady state analysis
Hydraulic boundary conditions
Initial conditions
Initial conditions
Dynamic and seismic analysis
Staged constructions
Analysis types
Analysis types
- Slope stability analysis
  Slope stability analysis
- Bearing capacity analysis
- Staged construction analysis
Tutorial & DXF
Bibliography
Recommended books
Geoapp
Geoapp
- Index
- Geoapp Section
Contact

Formulation of the beam-column elements¶

In this section we outline the formulation of the line elements such those truss and beam elements used in the program to model the liners, bolts, anchors and geosynthetics elements.

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