Related Resources: pressure-vessel

Toroidal Shell Internal or External Pressure Formulas and Calculator for Stress and Deflection

Toroidal Shell Stress and Deflection Equation and Calculator.

Uniform Internal or External pressure, q force/unit area.

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

Preview: Toroidal Shell Stress and Deflection Calculator

Toroidal shell

For b/t > 10

Meridional Stress

at point O

Circumferential Hoop Stress

Radial Displacement of Circumference

Where used:
E = Modulus of Elasticity (lbs/in²)
v = Poisson's ratio
q = Load or force applied (lbs/in²)
σ_1,2 = Stress, (lbs/in²)
a = Distance (in)
b = Radius (in)
r = Torid 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