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.

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

For R2 / t > 10

Meridional Stress & Circumferential Hoop Stress   Change in height dimension y Rotation of a meridian from its unloaded position
ψ = 0

Where used:
E = Modulus of Elasticity (lbs/in2)
v = Poisson's ratio
q = Applied pressure (lbs/in2)
σ1,2 = Stress, (lbs/in2)
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 