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Research Papers: Design and Analysis

Simplified Formulation of Stress Concentration Factors for Spherical Pressure Vessel–Cylindrical Nozzle Juncture

[+] Author and Article Information
Husain J. Al-Gahtani

Department of Civil
and Environmental Engineering,
King Fahd University of Petroleum and Minerals,
Dhahran 31261, Saudi Arabia
e-mail: hqahtani@kfupm.edu.sa

Faisal M. Mukhtar

Department of Civil and
Environmental Engineering,
King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
e-mail: faisalmu@kfupm.edu.sa

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received July 10, 2015; final manuscript received November 16, 2015; published online February 5, 2016. Assoc. Editor: Osamu Watanabe.

J. Pressure Vessel Technol 138(3), 031201 (Feb 05, 2016) (10 pages) Paper No: PVT-15-1159; doi: 10.1115/1.4032112 History: Received July 10, 2015; Revised November 16, 2015

Parametric study of the thin shell solution of internally pressurized spherical vessel–cylindrical nozzle juncture is used to develop simplified closed-form formulas of stress concentration factor (SCF) as functions of the key vessel–nozzle geometric parameters known to influence the solution. The SCF values are not based on the vessel stresses alone; nozzle stresses are also analyzed and the corresponding SCF determined. Therefore, for a given vessel–nozzle juncture, the designer will be left with adequate information upon which to decide the controlling SCF. Predictions by the proposed equations are validated using finite element method (FEM). Consequently, design charts are presented based on both the vessel's and nozzle's SCF as predicted by the proposed expressions.

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References

Figures

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Fig. 1

Internal pressure, resultant edge forces and moments acting on the spherical vessel and nozzle

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Fig. 2

Edge forces and displacements/rotations at the spherical shell-cylindrical nozzle juncture

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Fig. 3

Model for the spherical vessel–nozzle juncture (a) geometry and (b) discretized model

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Fig. 4

Typical variation of SCF with rR and RT for tT = 1.25 and the corresponding 2D fit (shown as a plane) compared with Hetenyi's analytical solution (shown as dots) for the (a) vessel and (b) nozzle

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Fig. 5

Typical 1D fitting of the SCF in the nozzle for rR = 0.5 and RT = 150

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Fig. 6

Typical predictions by the actual analytical solution (shown as dots) and the proposed model (shown as a plane) for tT = 0.75: (a) Q¯ and (b) M¯

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Fig. 7

Variation of SCF in the vessel with geometric ratios: (a) RT = 50, (b) RT = 75, (c) RT = 100, (d) RT = 125, and (e) RT = 150

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Fig. 8

Variation of SCF in the nozzle with geometric ratios: (a) RT = 50, (b) RT = 75, (c) RT = 100, (d) RT = 125, and (e) RT = 150

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