Matrix or Vector | Base Element | Shape Functions (for each layer) | Integration Points |
---|---|---|---|
Stiffness and Stress Stiffness Matrices and Thermal Load Vector | Linear 2D solid or shell | Equation 11–6, Equation 11–7, and Equation 11–8 | Across the length: 1 Across the section: 1 |
Quadratic 3D solid or shell | Equation 11–19, Equation 11–20, and Equation 11–21 | Across the length: 2 Across the section: 1 | |
Mass Matrix | Same as stiffness matrix. | Same as stiffness matrix. | |
Pressure Load Vector | N/A | N/A |
Load Type | Distribution |
---|---|
Element Temperature | Linear along the length, constant across the section. |
Nodal Temperature | N/A |
Pressure | N/A |
Structures describes the derivation of structural element matrices and load vectors as well as stress evaluations. General Element Formulations gives the general element formulations used by this element. See Stiffness and Mass Matrices of a Reinforcing Layer for the general formulation of the reinforcing stiffness and mass matrices.