Related Resources: pressure-vessel

Cylinder Stress and Deflection by Own Weight by Own Weight Equation and Calculator

Cylinder by Own Weight, δ = force top edge support, bottom edge free Stress and Deflection Equation and Calculator.

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

Preview: Cylindrical Cylinder Own weight, δ = force top edge support, bottom edge free Calculator

Cylindrical ( R / t ) > 10

When:
R / t > 10

Meridional Stress at top
σ₁ = δy

Circumferential or Hoop Stress
σ₂ = 0

Radial Displacement of Circumference

Change in height dimension y

Rotation of a meridian from its unloaded position

Where used:
E = Modulus of Elasticity (lbs/in²)
v = Poisson's ratio
σ_1,2 = stress, (lbs/in²)
t = Cylinder thickness, (in)
y = Length of cylinder, (in)
R = Radius, (in)
δ = Mass per section (lbs/in²)
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