**Related Resources: pressure-vessel**

### Smooth Figure of Revolution Stress and Deflection Equation and Calculator

Any smooth figure of revolution if R_{2} is less than infinity Uniform internal or external pressure, q force/unit area; tangential edge support Stress and Deflection Equation and Calculator.

Uniform internal or external pressure, q force / unit area; tangential edge support.

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

Preview: Smooth Figure of Revolution Stress and Deflection Calculator

Smooth Figure of |

Deflection and Stress Uniform loading, w force/unit area; on the horizontal projected area; tangential top edge support.

For R_{2} / t > 10

Meridional Stress

Circumferential Hoop Stress

Radial Displacement of Circumference

Rotation of a meridian from its unloaded position

Where used:

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

*v* = Poisson's ratio

q = Force applied (lbs/in)

σ_{1,2} = Stress, (lbs/in^{2})

R_{1} = Radius (in)

R_{2} = Radius (in)

t = Wall thickness (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