A cylindrical container of radius R=1m, wall thickness 1mm is filled with water upto a depth of 2m and suspended along with water upto a depth of 2m and suspended along with its upper rim. The density of water is 1000kg/m$^3$ and acceleration due to gravity is 10 m/s$^2$. The self weight of the cylinder is negligible. The formula for hoop stress in a thin walled cylinder can be used at all points along the height of the cylindrical container.
A) The axial and circumferential stress (σa, σc) experienced by the cylinder wall at mid-depth (1 m as shown) are
(a) (10, 10) MPa
(b) (5, 10) MPa
(c) (10, 5) MPa
(d) (5, 5) MPa
B) If the Young’s modulus and Poission’s ratio of the container material are 100GPa and 0.3, respectively. The axial strain in the cylinder wall at mid height is
(a) 2 × 10–5
(b) 6 × 10–5
(c) 7 × 10–5
(d) 1.2 × 10–5