Soft continuum manipulators show great promise in minimal invasive surgery (MIS) due to their excellent adaptability and contact safety. In our recent work,  a novel braided manipulator based on fibrous materials is developed which features a thin-walled structure and a linear actuation response, enhancing its suitability for surgical environments. This paper studies effects of design parameters on its kinematical behaviors, which can provide a foundation for an optimized skeleton design.