please solve this

The fuel rods of a nuclear reactor consist of solid uranium cylinders of diameter 70 mm. During operation, a typical rod experiences a temperature distribution approximated by the equation TU") : 600 0.17\"2 C'C, where r is the radius in mm. The properties of uranium are E = 172 GPa, 1/ = 0.28, and oz 2 11 x 10\"5 per 0C. (a) Find the maximum tensile, compressive and shear stresses in the fuel rod if the outer surface is tractionfree and plane strain conditions can be assumed. (14 marks) (b) If the fuel rod is now permitted to expand axially, determine the maximum tensile, com pressive and shear stresses. (6 marks) [You may assume that the radial and hoop stresses in an axisymmetric disk in a state of plane strain are (3 21/)p92'r2 Ea B W 2 Td A a 8(1V) (1y)r2/T 70+ +742 (1 + 21/)p92'r2 Ea / EaT B = Td A . 099 8(1 1/) + (1 1/)?"2 T T ( 1/) + 7\"? with the corresponding radial displacement u?\" : _ (1 21/)(1+ 1/)p92r3 a(1+ 1/) ferr + A(1 21/)(1 -l 1/)?" (1 + V)B 8E(1 1/) + (1 1/)?" E Er ' where the symbols have their usual meanings]