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
σ₁ = 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/in²)
ω = Rotational velocity (rad/s)
σ_1,2 = stress, (lbs/in²)
y = Length of cylinder, (in)
R = Radius, (in)
δ_m = Mass density (lbs/in³)
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