**Related Resources: pressure-vessel**

### Cylinder Stress and Deflection Rotation Equation and Calculator

Cylinder Stress and Deflection Uniform rotation, ω rad/sec about central axis Equation and Calculator.

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

Preview: Cylinder Stress and Deflection Uniform rotation, ω rad/sec about central axise Calculator

Cylindrical
( R / t ) > 10 |
Uniform rotation,
ω rad/sec about central axis |

Meridional Stress at top

σ_{1} = 0

Circumferential or Hoop Stress

Radial Displacement of Circumference

Change in height dimension y

Rotation of a meridian from its unloaded position

ψ = 0

Where used:

E = Modulus of Elasticity (lbs/in^{2})

ω = Rotational velocity (rad/s)

σ_{1,2} = stress, (lbs/in^{2})

y = Length of cylinder, (in)

R = Radius, (in)

δ_{m} = Mass density (lbs/in^{3})

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