local cartesian coordinate system

The Book Forums Theory local cartesian coordinate system

This topic contains 3 replies, has 2 voices, and was last updated by  joachimfinzel 2 years, 4 months ago.

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  • #168

    Tsenckpiel
    Participant

    In case a shell element SH4 is arbitrarily oriented in space, in which coordinate system are internal shell forces (3 membrane forces, 3 moments, 2 transverse shear forces) measured?

    #169

    joachimfinzel
    Participant

    It is a local Cartesian coordinate system. The local z-axis is basically normal to the shell reference surface. The local x-axis is created by the cross product of the unit vector e2 and the local z-axis. So it is located in the plane generated by the global x- and global z-axis. The local y-axis is derived by the right hand rule respectively it is formed through the cross product of the local z- and local x-axis.

    #170

    Tsenckpiel
    Participant

    What happens in the case, when the local z-axis points in the direction of the global y-axis?

    #171

    joachimfinzel
    Participant

    In this case, the local x-axis is created through the cross product of the unit vector e1 and the local z-axis. So it is located in the plane generated by the global y- and global z-axis. The local y-axis is derived by the right hand rule again.

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