The node local transformation tests with NBC's compute deformations and forces in a clamped beam with a nodelocal coordinate system (fundamental test of transformation mechanism). The applied force is specified in the node local system of node 5 rotated 45° with respect to the branch global system (see figure below). The beam is modeled by linear beam elements.
The analytical ydisplacement of node 5 is obtained with the simple formula v = F l^{3} / (3 E J). The test checks that the nodelocal transformation is performed properly:

The global dof 1 of node 5 must be equal to 0.707*v.

The branch global dof 2 of node 5 must be equal to v.
The node local transformation tests with EBC's compute deformations and forces in a clamped beam with a nodelocal coordinate system (fundamental test of transformation mechanism). The constraint is specified in the node local system of node 5 (see figure below). The beam is modeled by linear beam elements.
The ydisplacement of node 5 is the one prescribed. The test checks that the nodelocal transformation is performed properly:

The global dof 1 of node 5 must be equal to v.

The branch global dof 2 of node 5 must be equal to v.
The node local transformation tests with masterslave nodes compute deformations and forces in a simply supported beam with a nodelocal coordinate system either in the master node 3 of branch 1 or the slave node1 of branch 2 (fundamental test of transformation mechanism). The beam is modeled by linear beam elements.
The ydisplacement of node 3 (branch 1) is checked both in the global system and the branch local system. Note that the master node 's local coordinate system is the computational system!