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The mechanical response of Twisted Stacked-Tape Cables (TSTC) experiencing large Lorentz loads generated during the operation of high-current, high-field magnets was investigated using finite element analysis. In previous work, the numerical analysis of an untwisted 40-tape TSTC under transverse compression was performed to identify cable configurations able to support the tapes against these loads. Two conductor configurations were originally investigated: a stack of tapes inside a solid cylindrical copper rod and a solder filled copper tube. In this paper, an optimization study is performed for the design of the solder filled tube configuration to define an optimal ratio between the thickness of the copper tube and the amount of solder used. A full scale numerical model of a twisted stacked cable is also analyzed and the results are compared with previous findings for the untwisted configuration. In addition, a study on the stress distribution inside a cable as a function of the tape width is conducted to highlight the advantages and disadvantages of using a wide tape compared to a narrow tape. Finally, based on the findings of the mechanical response of these cable configurations subjected to large Lorentz loads, the critical current performance of the TSTC conductors is discussed.