**Related Resources: pressure-vessel**

### Spherical Cylinder Stress and Deflection Equations and Calculator

Spherical Cylinder Stress and Deflection Filled to depth d with liquid of density d force/unit volume; tangential edge support Equation and Calculator.

Per. Roarks Formulas for Stress and Strain for membrane stresses and deformations in thin-walled pressure vessels.

Preview: Spherical Cylinder Stress and Deflection Internal or External Pressure Calculator

Spherical Cylinder |
FIlled to
Depth â€‹With Liquid |

Deflection and Stress Filled to depth d with liquid of density d force/unit volume; tangential edge support .

For R_{2} / t > 10

At any level y below the liquid surface, y < d

Meridional Stress

Circumferential Hoop Stress

Radial Displacement of Circumference

Change in height dimension y

Rotation of a meridian from its unloaded position

Weight of liquid

Where used:

E = Modulus of Elasticity (lbs/in^{2})

*v* = Poisson's ratio

δ = Density (lbs/in^{3})

σ_{1,2} = Stress, (lbs/in^{2})

R_{2} = Radius (in)

R = Distance as indicated (in)

y = Depth as indicated (in), Must be equal too or less than d

P = Force (lbs)

d = Depth of liquid (in)

t = Wall thickness (in)

θ = Angle (deg.)

ψ = Rotation of a meridian from its unloaded position, positive when that meridional rotation represents an increase in ΔR when y or θ increases;

(Note: There is a discontinuity in the rate of increase in fluid pressure at the top of the liquid. This leads to some bending in this region and is indicated by a discrepancy in the two expressions for the meridional slope at y = d.)

Reference:

Roarks Formulas for Stress and Strain, 7th Edition