**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

σ_{1} = δy

Circumferential or Hoop Stress

σ_{2} = 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/in^{2})

v = Poisson's ratio

σ_{1,2} = stress, (lbs/in^{2})

t = Cylinder thickness, (in)

y = Length of cylinder, (in)

R = Radius, (in)

δ = Mass per section (lbs/in^{2})

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