A4 m diameter 10 m tall cylinder shaped storage tank has wall thickness of 10 mm. calculate the maximum normal stress and maximum shearing stress in the cylinder side wall when the tank is filled all the way up with water.

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

ya te mando la respuesta