@'x'x I> 94 \"013 % 1 Figure 1 shows a natural offshore clay deposit with an upper layer of undrained shear strength SM and a lower layer of undrained shear strength 5.12. The depth of separation between these layers, L, happens to be positioned at a depth equal in metres to the average of your SID's rst and last digits (eg., supposing your SID is 7492742, your L would be 4.5 In). You are required to design an H long offshore pile with rectangular cross section with B width, as follows: a) b) d) Determine the limit load of that rectangular cross section for general undrained shear strength S\" using the upper bound (UB) mechanism shown in Fig. 1(a), and lower bound (LB) mechanism in Fig. 1(b). In your answer provide a clear hodograph for the UB solution and Mohr Circles for the LB solution, and clearly explain the rest of the calculations Determine that limit load using OPTUM. Provide a clear report to support the accuracy of your solution, including a plot showing the shear dissipation developing around the pile. Discuss about the accuracy of your own UB and LB in light of the solution from OPTUM. Then, inspired by OPTUM, propose a new possible kinematically admissible UB solution. In this case, no need to carry out calculation, just diagram the mechanism and how it works. Using the OPTUM optimised solution for the pile cross-section limitload, define the maximum combined load-moment FM envelope. First, nd F for the M=0 case (directed either to the left of the right). Then, increase or decrease M incrementally (note the asymmetry of results for clockwise or counterclockwise moments) to complete the envelope. Further hints will be provided in class. (0) Design n\" F ' H-10m Su1=30 kPa Suz=60 kPa Figure l: Pile design: (a) UB mechanism; (b) LB mechanism; (c) pile geometry and denitions