Related Resources: pressure-vessel

### Tangential Loading Smooth Figure of Revolution Equations and Calculator

Any smooth figure of revolution if R2 is less than infinity Stress and Deflection Equation and Calculator.

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

 Smooth Figure of Revolution

For R2 / t > 10

Meridional Stress

Circumferential Hoop Stress

Radial Displacement of Circumference

Rotation of a meridan from its unloaded position

Where used:
E = Modulus of Elasticity (lbs/in2)
v = Poisson's ratio
P = Axial load or force (lbs)
σ1,2 = Stress, (lbs/in2)
R1 = Radius (in)
R2 = Radius (in)
t = Wall thickness (in)
y = Vertical level from bottom of vessel (in)
θ = Angle (deg.)
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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