Authors :
Isaak Dassa; Konstantinos Karamitsios
Volume/Issue :
Volume 8 - 2023, Issue 11 - November
Google Scholar :
http://tinyurl.com/bdr7aa
Scribd :
http://tinyurl.com/msc67ab6
DOI :
https://doi.org/10.5281/zenodo.10409425
Abstract :
The purpose of this study is to examine the
calculation of the moment of inertia in stiffening rings
in pressure vessel cones, focusing on the application of
the Steiner theorem and the correction of equations in
the PD5500 and EN Pressure Vessel Codes. The study
involves a critical analysis of the existing methods for
calculating the moment of inertia, highlighting the
errors and limitations in the current equations used by
engineers. The research also proposes a new approach
that involves the direct application of the Steiner
theorem without the need for additional tools such as
AutoCAD. The study finds that the third and fourth
terms of the equation in the British pressure vessel code
(PD5500) have errors due to the absence of the cosine
term, which leads to an underestimation of the moment
of inertia. By correcting this equation, this study
provides a more accurate method for calculating the
moment of inertia. This research is original in its
critical examination of the existing methods for
calculating the moment of inertia in stiffening rings in
cones. It not only identifies the errors in the current
methods but also proposes a more accurate and efficient
approach without the need for additional tools. The
findings of this study have practical implications for
engineers who design pressure vessels under external
pressure. The corrected equation and the proposed
method can help engineers perform these calculations
more accurately and efficiently, providing safer vessels.
Keywords :
Moment of Inertia; Stiffening Rings; Cones; Steiner Theorem; Pressure vessel.
The purpose of this study is to examine the
calculation of the moment of inertia in stiffening rings
in pressure vessel cones, focusing on the application of
the Steiner theorem and the correction of equations in
the PD5500 and EN Pressure Vessel Codes. The study
involves a critical analysis of the existing methods for
calculating the moment of inertia, highlighting the
errors and limitations in the current equations used by
engineers. The research also proposes a new approach
that involves the direct application of the Steiner
theorem without the need for additional tools such as
AutoCAD. The study finds that the third and fourth
terms of the equation in the British pressure vessel code
(PD5500) have errors due to the absence of the cosine
term, which leads to an underestimation of the moment
of inertia. By correcting this equation, this study
provides a more accurate method for calculating the
moment of inertia. This research is original in its
critical examination of the existing methods for
calculating the moment of inertia in stiffening rings in
cones. It not only identifies the errors in the current
methods but also proposes a more accurate and efficient
approach without the need for additional tools. The
findings of this study have practical implications for
engineers who design pressure vessels under external
pressure. The corrected equation and the proposed
method can help engineers perform these calculations
more accurately and efficiently, providing safer vessels.
Keywords :
Moment of Inertia; Stiffening Rings; Cones; Steiner Theorem; Pressure vessel.
