1. Except for L3, L4, and L5, fill in 0 if the remaining segments do not exist. The segments of L7 and L8 can represent any inclined tube in the X-Z plane, as long as its projection dimensions L7 and L8 are calculated.
    2. θ1 is the angle between the projection of the L1 segment in the X-Y plane and the X axis, and θ2 is the angle between the projection of the L1 segment in the X-Z plane and the X axis. The angle value is between -90 degrees and 90 degrees, and the negative value is the opposite direction as shown in the picture.
    3. When the angular movement of the expansion joint 2 and the expansion joint 3 around the X axis is 0, the hinged expansion joint can be used instead.