Related Resources: pressure-vessel

Smooth Figure of Revolution Stress and Deflection Equation and Calculator

Any smooth figure of revolution if R₂ 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 Revolution

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

For R₂ / 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/in²)
v = Poisson's ratio
q = Force applied (lbs/in)
σ_1,2 = Stress, (lbs/in²)
R₁ = Radius (in)
R₂ = 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