A semicircular steel ring of mean radius 300mm is suspended vertically with the top end fixed as shown in the above figure and carries a vertical load of 200N at the lowest point. Calculate the vertical deflection of the lower end if the ring is of rectangular cross-section 20mm thick and 30 mm wide. Value of Elastic modulus is 2 $\times$105N/mm2.
Influence of circumferential and shearing forces may be neglected.