Answer:
When the tank is filled up with water, the maximum hydraulic pressure is occurring at the bottom of the tank.
which is P = ρ x g x H -----Eqn 1
Where
ρ = density of water = 1000kg/m³
H = Height of the tank = 10m
g = acceleration due to gravity = 9.81m/s²
Substituting these values into ----- Eqn 1 gives
P = 9.81 x 10⁴Pa
Now for cylindrical shaped vessel,
The Longitudinal stress σ1 = P x r / 2 x t
where t= tank thickness = 10mm = 0.01m
r = tank radius = 2m
substituting these values into eqn2 gives
σ1 = 9.8 x 10⁶Pa
But from the mohr's circle stress analysis, we have
The maximum normal stress σm = σ1m = 2 x 9.8 x 10⁶Pa = 19.6MPa
The maximum shear stress σ1s = 9.8 x 10⁶Pa = 9.8Mpa