**Related Resources: pressure-vessel**

### Stress and Deflection by Liquid Weight Equation and Calculator

Any smooth figure of revolution if R_{2} 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 |

For R_{2} / 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/in^{2})

*v* = Poisson's ratio

W =

δ = Density (lbs/in^{3}

σ_{1,2} = Stress, (lbs/in^{2})

R_{1} = Radius (in)

R_{2} = 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