Related Resources: pressure-vessel

Cylinder Linearly Varying Radial Pressure Equation and Calculator

Cylinder Linearly Varying Radial Pressure 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 Pressure Vessel Linearly Varying Radial Pressure Calculator

Cylindrical
Cylindrical
( R / t ) > 10
 
Linearly Varying
Radial Pressure
Linearly Varying Radial Pressure

When:
R / t > 10

Linearly Varying Radial Pressure
Linearly Varying Radial Pressure

Meridional Stress
Meridional Stress

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
Rotation of a meridian from its unloaded position

Where used:
E = Modulus of Elasticity (lbs/in2)
v = Poisson's ratio
σ1,2 = stress, (lbs/in2)
t = Cylinder thickness, (in)
l = Length of cylinder, (in)
y = Length of linearly increasing load, (in)
R = Radius, (in)
q = Applied unit load (lbs/in2)
qo = Peak applied unit load (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

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