**Related Resources: pressure-vessel**

### Uniform Loading Horizontal Projected Area Spherical Cylinder Stress and Deflection Formulas and Calculator

Spherical Cylinder Stress and Deflection Uniform loading, w force/unit area; on the horizontal projected area; tangential top 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 loading, |

Deflection and Stress Uniform loading, w force/unit area; on the horizontal projected area; tangential top edge support.

For R_{2} / t > 10& θ ≤ 90°

Meridional Stress

Circumferential Hoop Stress

Radial Displacement of Circumference

Change in height dimension y

Rotation of a meridian from its unloaded position

Where used:

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

*v* = Poisson's ratio

w = Force applied (lbs/in^{2})

σ_{1,2} = Stress, (lbs/in^{2})

R_{2} = Radius (in)

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

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