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

Meridional Stress at top
σ1 = 0

Circumferential or Hoop Stress
Circumferential or Hoop Stress

Radial Displacement of Circumference
Radial Displacement of Circumference

Change in height dimension y
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)
σ1,2 = stress, (lbs/in2)
y = Length of cylinder, (in)
R = Radius, (in)
δm = 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

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