**Related Resources: pressure-vessel**

### Uniform Loading on Horizontal Projected Area Pressure Vessel Formulas and Calculator

Any smooth figure of revolution if R_{2} is less than infinity Stress and Deflection Equation and Calculator.

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

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

Preview: Smooth Figure of Revolution Stress and Deflection Calculator

Smooth Figure of |

For R_{2} / t > 10 and θ ≤ 90°

Meridional Stress

Circumferential Hoop Stress

Radial Displacement of Circumference

Rotation of a meridan from its unloaded position

Where used:

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

*v* = Poisson's ratio

w = ^{2})

σ_{1,2} = Stress, (lbs/in^{2})

R_{1} = Radius (in)

R_{2} = Radius (in)

t = Wall thickness (in)

y = Vertical level from bottom of vessel (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