Problem 2 (Total 30 marks): Two cubes made of soft linear-elastic materials are placed in a cavity of a steel box (as shown in the figure below). The Young's moduli and Poisson's ratios of the materials are E and E2 and V and V, respectively. The initial size of the cubes is a xax a and there are no gaps between the cubes and the cavity. A force P applied through a steel plate loads the top surface of the cubes. The box and plate can be considered as rigid compared with the cube materials. The friction on all interfaces is negligible. Determine: a) The stress state in the cube materials; [20 marks] b) The displacement of the rigid plate, 8, in terms of the cube material properties, sizes, and the applied force, P. [10 marks] Steel Plate 2a k P E1, V1 E2, V2 a Rigid Steel Box Do calculations for E = 200 GPa; E = 70 GPa; V1 = V2 = 0.3; = 100 mm and P = 100 kN.