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Research Papers: Codes and Standards

Relationships Between the Proportional Law and the Charts Used in ASME VIII-1 and EN13445-3 for Designing Shells and Tubes Under External Pressure

[+] Author and Article Information
Huan Sheng Lai

School of Chemical Engineering,
Fuzhou University,
Fuzhou, Fujian 350-116, China

Kang Lin Liu

Professor
School of Chemical Engineering,
Fuzhou University,
Fuzhou, Fujian 350-116, China
e-mail: weizhoulng@126.com

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received December 30, 2015; final manuscript received March 16, 2017; published online May 26, 2017. Assoc. Editor: Allen C. Smith.

J. Pressure Vessel Technol 139(4), 041101 (May 26, 2017) (6 pages) Paper No: PVT-15-1288; doi: 10.1115/1.4036531 History: Received December 30, 2015; Revised March 16, 2017

Shells and tubes usually fail in the form of buckling under external pressure. Charts are used in the design of shells and tubes in the standards of ASME VIII-1 and EN13445-3 and these simplify the calculation process, while the proportional law is a more effective and simple method. In this paper, the relationships between the proportional law and the charts used in the standards were researched; finite element method (FEM) was used to compare the accuracies of the proportional law and the charts. It was theoretically proved that the proportional law and the charts were using essentially the same method to calculate the critical buckling pressure; they were different forms of the same dimensionless tension stress–strain curves. The simulation results showed that the proportional law and the charts had effectively equal accuracies in calculated critical buckling pressures. Therefore, the proportional law can be a candidate method included in the standards for the design of shells and tubes under external pressure.

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References

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Figures

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Fig. 1

Development of the l curve from the l curve

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Fig. 2

Curves of σ¯−ε¯ and σ¯−Φ

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Fig. 3

A typical Pr̸Py∼Pm̸Py curve of EN 13445-3

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Fig. 4

Buckling failure simulation of a half-spherical shell with R=50.85 mm and t=1.69 mm under external pressure: (a) finite element model of a half-spherical shell and (b) buckling failure of a half-spherical shell

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Fig. 5

Two types of stress–strain curves of titanium alloy

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Fig. 6

Curves of LPF—arc length for all cases (see color figure online)

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Fig. 7

Chart in the ASME II Part D and σ¯−Φ curve for aluminum alloy 3003: (a) chart for determining shell thickness of components under external pressure developed obtained from figure NFA-1 in the ASME II Part D [10] and (b) σ¯−Φ curve (see color figure online)

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Fig. 8

The construction of the proportional law [9]

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