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.
Tangential loading only;
Deflection and Stress Own weight, δ force/unit volume; tangential top edge support.
For R2 / t > 10
Circumferential Hoop Stress
Radial Displacement of Circumference
Change in height dimension y
Rotation of a meridian from its unloaded position
E = Modulus of Elasticity (lbs/in2)
v = Poisson's ratio
P = Total force applied (lbs)
σ1,2 = 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.)
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)
Roarks Formulas for Stress and Strain, 7th Edition