Publisher Summary In this chapter, after a brief outline of the floating drilling equipment and subsea systems, the riser components and vessel data are outlined. This chapter also presents various methods of riser analysis. Floating drilling risers are used on drilling semisubmersibles and drilling ships. As the water depth increases, integrity of drilling risers is a critical issue. The design and analysis of drilling risers are particularly important for dual operation, dynamically positioned (DP). Two different types of risers are used for installation and intervention in and on a well: completion risers and workover risers. A completion riser is generally used to run the tubing hanger and tubing through the drilling riser and BOP into the wellbore. A workover riser is typically used in place of a drilling riser to reenter the well through the subsea tree, and may also be used to install the subsea tree. From a structural analysis point of view, a drilling riser is a vertical cable, under the action of currents. The upper boundary condition for the drilling riser cable is rig motions that are influenced by rig design, wave and wind loads. One of the key technical challenges for deepwater drilling riser design is fatigue of VIV due to (surface) loop currents and bottom currents.