(Solved): All parts pls the design of a new oil rig off shore. The geometry of the proposed oil rig design is ...

the design of a new oil rig off shore. The geometry of the proposed oil rig design is illustrated in the right figure below and simplified to a 2D form (drawing not to scale). The parameters related to the geometry are given in the following table. Major loads considered in the design are the self-weight of the square-profile beam (cross-section side dimension a) used for the platform and the point load from the onboard crane (value given in table). The entire platform sits on top of 2 columns at locations specified in the drawing. Both columns share the same design (cross-section side dimension b and end type) and are made of the same material as the platform. The material chosen for this oil rig is steel, given its availability, weldability and low cost (p = 8050 kg/mº, E = 200 GPa, O fail= 350 MPa, Tfail = 175 MPa). L w L. B P C! CINDE H b Pinned end or Fixed end 22 ? ? M ? ? Given Find Value 20 m a Parameter L1 L2 H Pcrane wo 9 Total budget Material cost Pinned End cost Fixed End cost b 5 m 100 m 5000 KN Platform Beam Profile Dependent 9.81 m/s $900 000 $4000/m $20 000 per end $50 000 per end End type (same for both columns) overall 71 The different parts of this problem are designed to guide you through the process to set up the optimization/iterative design. 1. Find expressions for the internal shear and moment for each segment of the platform beam in terms of L1, L2, W., P and 2 (where 0 <<