Related Resources: pressure-vessel

### Tangential Loading Only Spherical Cylinder Stress and Deflection Formulas and Calculator

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

 Spherical Cylinder Stress and Deflection Tangential loading only; resultant load = P Deflection and Stress Own weight, δ force/unit volume; tangential top edge support.

For R2 / t > 10

Meridional Stress Circumferential Hoop Stress  Change in height dimension y Rotation of a meridian from its unloaded position Where used:
E = Modulus of Elasticity (lbs/in2)
v = Poisson's ratio
P = Total force applied (lbs)
σ1,2 = Stress, (lbs/in2)
R = Distance as indicated (in)
y = Depth as indicated (in), Must be equal too or less than d
t = Wall thickness (in)
θ = Angle (deg.)
θo = 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;

(Note: θo is the angle to the lower edge and cannot go to zero without local bending occurring in the shell)

Reference:

Roarks Formulas for Stress and Strain, 7th Edition  