**Related Resources: pressure-vessel**

### Spherical Cylinder Stress and Deflection Equation and Calculator

Spherical Cylinder Stress and Deflection by Uniform internal or external pressure, q force/unit area; 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 |
Uniform internal
or external pressure |

Deflection and Stress by Uniform internal or external pressure, q = force/unit area; tangential edge support.

For R_{2} / t > 10

Meridional Stress & Circumferential Hoop Stress

Radial Displacement of Circumference

Change in height dimension y

Rotation of a meridian from its unloaded position

ψ = 0

Where used:

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

*v* = Poisson's ratio

*q* = Applied pressure (lbs/in^{2})

σ_{1,2} = Stress, (lbs/in^{2})

R_{2} = Radius (in)

R = Distance as indicated (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;

Reference:

Roarks Formulas for Stress and Strain, 7th Edition