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Notation

Coordinates

- symbols for coordinate axes:
$ \bar x \quad $ member coordinate along the member axis from end 1 to end 2
$ \bar y \quad $ member coordinate in member axes at the right angle to the member
$ x \quad$ member coordinate in structure axes, usually horizontal
$ y \quad $ member coordinate in structure axes, usually vertical

Forces

- symbols for force vectors:
$ \mathbf{P} \quad$ Force vector:
$ \mathbf{\bar{P}} \quad$ Force vector in member axes (not global);
$ \mathbf{P} \quad$ Force vector in ``global'' axes (member axes in the global direction);
$ \mathbf{P_s} \quad$ Structure force vector.

Displacements

- symbols for displacement vectors:
$ \mathbf{\bar{u}} \quad$ Member displacement vector in member axes;
$ \mathbf{u} \quad$ displacement vector in ``global'' axes (member axes in global direction);
$ \mathbf{u_s} \quad$ Structure displacement vector.

Matrices

- symbols for matrices.
$ \mathbf{X} \quad $     Matrix X
$ \mathbf{X}^{T} \quad $ Matrix X transposed.
$ \mathbf{X}^{-1} \quad $ Inverse of Matrix X.
$ \bar{\mathbf{k}} \quad $     Member stiffness matrix in member axes.
$ \mathbf{k} \quad $     Member stiffness in ``global'' axes.
$ \mathbf{K_s} $ or simply $ \mathbf{K}\quad $ Structure Stiffness



Subsections

Algis Kabaila 2006-12-03