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.
Smooth Figure of
For R2 / t > 10 and at any level y below the liquid surface, y < d
Circumferential Hoop Stress
Radial Displacement of Circumference
E = Modulus of Elasticity (lbs/in2)
v = Poisson's ratio
δ = Density (lbs/in3
σ1,2 = 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;
Roarks Formulas for Stress and Strain, 7th Edition