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.
For b/t > 10
at point O
Circumferential Hoop Stress
Radial Displacement of Circumference
E = Modulus of Elasticity (lbs/in2)
v = Poisson's ratio
σ1,2 = 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;
Roarks Formulas for Stress and Strain, 7th Edition