Problem 2 [55 marks] Consider a thin solid disk of radius a and material properties, E...

Transcribed Image Text:

Problem 2 [55 marks] Consider a thin solid disk of radius a and material properties, E and v, which is placed inside a disk with a hole of the inner radius b = a and the outer radius a with materials properties E2 and v2. The friction on the interface is negligible. All initial stresses are zero. Now, the solid disk is subjected to a uniform lateral pressure, p, as shown in the figure below. a = b a2 (a) Find the stress states in the inner and outer disks; [30 marks] (b) Find stress states when a (large outer disk); [5 marks] -> (c) Find stress states when a b (thin-walled outer disk); [5 marks] (d) Find stress states when E (rigid outer disk); [5 marks]. e) Comment your results obtained in (b) - (d). [10 marks] Problem 2 [55 marks] Consider a thin solid disk of radius a and material properties, E and v, which is placed inside a disk with a hole of the inner radius b = a and the outer radius a with materials properties E2 and v2. The friction on the interface is negligible. All initial stresses are zero. Now, the solid disk is subjected to a uniform lateral pressure, p, as shown in the figure below. a = b a2 (a) Find the stress states in the inner and outer disks; [30 marks] (b) Find stress states when a (large outer disk); [5 marks] -> (c) Find stress states when a b (thin-walled outer disk); [5 marks] (d) Find stress states when E (rigid outer disk); [5 marks]. e) Comment your results obtained in (b) - (d). [10 marks]