Related Resources: pressure-vessel

Stress and Deflection by Liquid Weight Equation and Calculator

Any smooth figure of revolution if R₂ is less than infinity Stress and Deflection Equation and Calculator.

Filled to depth d with liquid of density δ force / unit volume; tangential edge support. W = weight of liquid contained to a depth y.

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 Revolution

For R₂ / t > 10 and at any level y below the liquid surface, y < d

Meridional Stress

Circumferential Hoop Stress

Radial Displacement of Circumference

Where used:
E = Modulus of Elasticity (lbs/in²)
v = Poisson's ratio
W = Weight of liquid (lbs)
δ = Density (lbs/in³
σ_1,2 = Stress, (lbs/in²)
R₁ = Radius (in)
R₂ = Radius (in)
t = Wall thickness (in)
d = Liquid level (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