Related Resources: pressure-vessel

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

Any smooth figure of revolution if R2 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.

 Smooth Figure of Revolution

For R2 / t > 10 and θ ≤ 90°

Meridional Stress

Circumferential Hoop Stress

Rotation of a meridan from its unloaded position

Where used:
E = Modulus of Elasticity (lbs/in2)
v = Poisson's ratio
w = Axial load or force applied (lbs/in2)
σ1,2 = Stress, (lbs/in2)
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