13.264. REINF264 - 3D Discrete Reinforcing

13.264.1. Structural

Matrix or Vector	Base Element	Shape Functions (for each layer)	Integration Points
Stiffness and Stress Stiffness Matrices and Thermal Load Vector	Linear 3D spar, beam, solid, or shell	Equation 11–6, Equation 11–7, and Equation 11–8	Across the length: 1 Across the section: 1
	Quadratic 3D beam, 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
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

13.264.2. Thermal

Matrix or Vector	Base Element	Shape Functions (for each layer)	Integration Points
Conductivity Matrix and Heat Generation Load Vector	Linear 3D spar	Equation 11–13	Across the length: 2
Conductivity Matrix and Heat Generation Load Vector	Quadratic 3D	Equation 11–25	Across the length: 3
Specific Heat Matrix	Same as conduction matrix

Load Type	Distribution
Element HGEN	Linear along the length, constant across the section.

13.264.3. Other Applicable Sections

Structures describes the derivation of structural element matrices and load vectors as well as stress evaluations. General Element Formulations gives the general structural element formulations used by this element. See Stiffness and Mass Matrices of a Reinforcing Layer for the general structural formulation of the reinforcing stiffness and mass matrices. Similar formulations can be derived for thermal analysis.