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Pressure Vessel Pipe Stress Cone Stress and Pressure Design Calculator

Pressure Vessel Design and Calculators

This calculator is based on VIII-1, UG-32 and is applied to a conical section.

UG-16(b) minimum thickness requirement has not been taken into consideration here.

Wall Thickness (t)

Pressure (P)

 OL [in] - large outside diameter
 Os [in] - small outside diameter
 t [in] - thickness
 L [in] -length
 Cr [in] - corrosion allowance factor
 S [psi] - allowable material stress 
 E - seam efficiency (weld)
 P [psi] - internal pressure
Calculated Data:
a [rad] =
a [deg] =
nt [in] =
 Required Material Thickness: 
Tr [in] =
Tr vs t
 Maximum Pressure: 
Pm [psi] =
Pm vs P


E = seam (joint) efficiency for, or the efficiency of, appropriate joint in cylindrical or spherical shells, or the efficiency of ligaments between openings, whichever is less.
For welded vessels, use the efficiency specified in UW-12. For ligaments between openings, use the efficiency calculated by the rules given in UG-53.

P = internal design pressure (see UG-21)

OL = diameter of large end of cone

Os = diameter of small end of cone

S = maximum allowable stress value (see UG-23 and the stress limitations specified in UG-24)

t = design thickness of cone shell

Cr = corrosion allowancefactor

Tr = required thickness of cone shell

Pm = Pressure maximum (psi)

a = atan(OL - Os)/(2L) (radians) calculated angle

nt = t - cr (thickness of cone plate compensated for corrosions allowance)

References: ASME Boiler and Pressure Vessel Code

Contributed by:

Harsh Murugesan
Pune, Maharashtra India

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