Four identical hollow cylindrical columns, support a big structure of mass M. The inner and outer radii of a column are R1 and R2 respectively. Assuming the load distribution to be uniform, the compressional strain of each column is then
(where Y is Young's modulus of the column )
a. Mg/(π(R₂² - R₁²)Y)
b. Mg/(4π(R₂² - R₁²)Y)
c. Mg/(5π(R₁² - R₂²)Y)
d. Mg/(6π(R₁² - R₂² )Y)