A circular ring of inner radius a and outer radius b is loaded as shown. The Airy's stress function for this problem has the form:
$\Phi(r,\theta) = \left(Ar^2 + Br^4 + \frac{C}{r^2} + D\right)\cos2\theta + Fr^2 + H\log r$
where A,..., H are constants to be determined using appropriate boundary conditions. (a) Obtain expressions for stresses $\sigma_r, \sigma_{\theta}, \sigma_{r\theta}$. (b) List all suitable boundary conditions for the problem, (c) Solve for constants A,..., H. (Using an equation solver is acceptable.)