Related Resources: pressure-vessel

Tangential Loading Only Spherical Cylinder Stress and Deflection Formulas and Calculator

Spherical Cylinder Stress and Deflection Tangential loading only; resultant load = P Equation and Calculator.

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

Preview: Spherical Cylinder Stress and Deflection Internal or External Pressure Calculator

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

Radial Displacement of Circumference

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)
σ_1,2 = Stress, (lbs/in²)
R₂ = Radius (in)
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.)
θ_o = 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: θ_o 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