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 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

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/in²)
v = Poisson's ratio
q = Applied pressure (lbs/in²)
σ_1,2 = Stress, (lbs/in²)
R₂ = 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