ElasticSection3D
# ElasticSection3D
#include <material/section/ElasticSection3D.h>
class ElasticSection3D : public SectionForceDeformation
TaggedObject
MovableObject
Material
SectionForceDeformation
ElasticSection3D provides the implementation of a section which exhibits uncoupled elastic behavior in axial, moment, shear, and torsion response.
// Constructor
// Destructor
// Public Methods
// Public Methods for Output
To construct an ElasticSection3D with an integer identifier tag, an elastic modulus of \(E\), a second moment of area about the local z-axis, \(I_z\), a second moment of area about the local y-axis, \(I_y\), a polar moment of intertia of \(J\), a section area of \(A\), an elastic shear modulus of \(G\), and a shape factor of \(\alpha\). The integers tag and MAT_TAG_ElasticSection3D, defined in \(<\)classTags.h\(>\), are passed to the SectionForceDeformation class constructor.
Constructs a blank ElasticSection3D object.
Does nothing.
Sets the value of the section deformation vector, \(\esec\) to be def. The section deformation vector, \(\esec\), is defined by
\[\esec := \left[ \begin{array}{c} \epsilon_a \\ \kappa_z \\ \kappa_y \\ \gamma_y \\ \gamma_z \\ \phi \end{array} \right]\]
where \(\epsilon_a\) is the axial strain, \(\kappa_z\) is the curvature about the local z-axis, \(\kappa_z\) is the curvature about the local z-axis, \(\gamma_y\) is the shear strain along the local y-axis, \(\gamma_z\) is the shear strain along the local z-axis, and \(\phi\) is the angle of twist. Returns \(0\).
Returns the current value of the section deformation vector, \(\esec\).
Returns the section stress resultants, \(\ssec\), the product of the section stiffness matrix, \(\ksec\), and the section deformation vector, \(\esec\),
\[\ssec = \ksec \esec = \left[ \begin{array}{c} P \\ M_z \\ M_z \\ V_y \\ V_y \\ T \end{array} \right]\]
where \(P\) is the axial force, \(M_z\) is the bending moment about the local z-axis, \(M_y\) is the bending moment about the local y-axis, \(V_y\) is the shear force along the local y-axis, \(V_z\) is the shear force along the local z-axis, and \(T\) is the torque.
Returns the value of \(\ssec\) calculated at the previous state determination.
Returns the section stiffness matrix, \(\ksec\), where
\[\ksec = \left[
\begin{array}{cccccc}
EA & 0 & 0 & 0 & 0 & 0 \\
0 & EI_z & 0 & 0 & 0 & 0 \\
0 & 0 & EI_y & 0 & 0 & 0 \\
0 & 0 & 0 & \alpha GA & 0 & 0 \\
0 & 0 & 0 & 0 & \alpha GA & 0 \\
0 & 0 & 0 & 0 & 0 & GJ
\end{array}
\right]\]
Returns the section stiffness matrix, \(\ksec\).
Overrides the base class implementation and returns the section flexibility matrix, \(\fsec\), where
\[\fsec = \left[
\begin{array}{cccccc}
\frac{1}{EA} & 0 & 0 & 0 & 0 & 0 \\
0 & \frac{1}{EI_z} & 0 & 0 & 0 & 0 \\
0 & 0 & \frac{1}{EI_y} & 0 & 0 & 0 \\
0 & 0 & 0 & \frac{1}{\alpha GA} & 0 & 0 \\
0 & 0 & 0 & 0 & \frac{1}{\alpha GA} & 0 \\
0 & 0 & 0 & 0 & 0 & \frac{1}{GJ}
\end{array}
\right]\]
Overrides the base class implementation and returns the section flexibility matrix, \(\fsec\).
Returns \(0\).
Returns \(0\).
Returns \(0\).
Returns a pointer to a new ElasticSection3D object, constructed using the same values of tag, \(E\), \(A\), \(I_z\), \(I_y\), \(J\), \(G\), and \(\alpha\). It is up to the caller to ensure that the destructor is invoked.
Returns the section ID code that indicates the ordering of section response quantities. For this section, axial response is the first quantity, bending about the local z-axis is the second, bending about the local y-axis is the third, shear along the local y-axis is the fourth, shear along the local z-axis is the fifth, and torsion is the sixth. \[code := \left[
\begin{array}{c}
2 \\
1 \\
4 \\
3 \\
5 \\
6
\end{array}
\right]\]
Returns 6.
Creates a Vector of size \(8\) into which it places tag, \(E\), \(A\), \(I_z\), \(I_y\), \(J\), \(G\), and \(\alpha\). Invokes sendVector() on theChannel using the ElasticSection3D objects dbTag, the integer commitTag and the Vector as arguments. Returns \(0\) if successful, a warning message and a negative number are returned if the Channel object fails to send the Vector.
Creates a Vector of size \(8\). Invokes recvVector() on theChannel using the ElasticSection3D objects dbTag, the integer commitTag and the Vector as arguments. Using the data in the Vector to set its tag, \(E\), \(A\), \(I_z\), \(I_y\), \(J\), \(G\), and \(\alpha\). Returns \(0\) if successful, a warning message is printed and a negative number is returned if the Channel object fails to receive the Vector.
Prints to the stream s the object’s tag, \(E\), \(A\), \(I_z\), \(I_y\), \(J\), \(G\), and \(\alpha\) values.