**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 |
Tangential loading only; |

Deflection and Stress Own weight, δ force/unit volume; tangential top edge support.

For R_{2} / 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/in^{2})

*v* = Poisson's ratio

P = Total force applied (lbs)

σ_{1,2} = Stress, (lbs/in^{2})

R_{2} = 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