The Critical Load on Quadrilateral and Circular Hollow Pipes under Pure Bending and Pure Torsion

Abstract:

Instability is one of the factors causing damage and injury that results in permanent disability. To increase the stable load-carrying capacity, a simplified and efficient computational method for determining the first critical load is necessary for the structure's structural design, application and safety. This study aims to determine the characteristics of the critical bending moment M_bcr and the critical torsion moment M_Tcr due to geometric size variations in the square, diamond, and circle cross-sectional hollow pipes so that consideration of the selection of hollow pipe size and cross-sectional shape is obtained under pure bending and pure torsion to minimize the occurrence of instability of the structure. The geometric size variation is carried out by changing the value of a/t in the quadrilateral pipe, the value of D/t in the circular pipe, and the length of the pipe L in each cross-sectional shape. This research was conducted using Finite Element Analysis-based software with linear and nonlinear buckling analyses. The moment load is given at the centre point of the model end, and the boundary conditions are set to see the deformation on the mid-span section of the pipe. The results showed that M_bcr and M_Tcr were inversely proportional to the values of a/t, D/t, and . The largest value of M_bcr belongs to the circular pipe. The value of M_bcr in the diamond pipe is greater than the square pipe but getting closer to the same as the value of L increases the M_Tcr value of both cross-sections is the same. The M_Tcr curve in the cross-section of the circle has a higher degree of steepness than the square and diamond cross-section. At the same value, the more the value of a/t and D/t increases thickness change has more compared to the circular pipe. At the same L, the greater the value of a/t and D/t, the difference in the M_bcr between the cross-section of the circle and the quadrilateral is smaller, but the difference in M_Tcr tends to be the same. At the same value of a/t and D/t, the oval deformation value and angle of twist will get bigger, but the M_bcr and M_Tcr values are getting smaller and will be constant at a given pipe length.

• Periodical: Construction Technologies and Architecture (Volume 7)
• Pages: 21-35
• DOI: https://doi.org/10.4028/p-O7PxFd
• Online since: June 2023
• Authors: Hartono Yudo*, Habib Susilo, Deddy Chrismianto, Mohamad Djaeni, Andi Haris Muhammad
• Keywords: Bending, Critical Load, Hollow Pipe, Nonlinear Buckling Analysis, Torsion

References

[1] A. Alansari, T.-H. Nguyen, Preliminary Study of Risk Factors in Marine Construction Projects in Saudi Arabia, International Journal of Sciences: Basic and Applied Research. 47 (2019) 99–116.

[2] S. Chandrasekaran and A. K. Jain, Ocean structures : construction, materials, and operations., FL: CRC Press, Boca Raton, 2017.

[3] G. Vukelić, and G. Vizentin, Common Case Studies of Marine Structural Failures, in Failure Analysis and Prevention, IntechOpen, London. (2017)

DOI: 10.5772/intechopen.72789

[4] Z. Qi, X. Kong, and G. Wang, Identifying Critical Loads of Frame Structures with Equilibrium Equations in Rate Form, Mathematical Problems in Engineering. 2015 (2015) 1–17.

DOI: 10.1155/2015/325969

[5] J. Wardenier, Hollow Sections in Structural Applications 2nd ed. Geneva Zoetermeer, CIDECT, Bouwen met Staal, 2010.

[6] Y.-L. Li, X.-L. Zhao, Experimental study on stainless steel blind bolted T-stub to square hollow section connections, Thin-Walled Structures. 167 (2021) 108259.

DOI: 10.1016/j.tws.2021.108259

[7] H. Yudo, W. Amiruddin, and S. Jokosisworo, Analysis of the buckling moment on rectangular hollow pipe under pure bending load, MATEC Web of Conferences.177 (2018) 1012.

DOI: 10.1051/matecconf/201817701012

[8] H. Yudo and T. Yoshikawa, Buckling phenomenon for straight and curved pipe under pure bending, Journal of Marine Science and Technology. 20 (2015) 94–103.

DOI: 10.1007/s00773-014-0254-5

[9] A. K. Ary, Y. Sanjaya, A. R. Prabowo, F. Imaduddin, N. A. B. Nordin, I. Istanto, and J. H. Cho, Numerical estimation of the torsional stiffness characteristics on urban Shell Eco-Marathon (SEM) vehicle design, Curved Layer Structure. 8 (2021) 167–180.

DOI: 10.1515/cls-2021-0016

[10] D. J. Ridley-Ellis, J. S. Owen, and G. Davies, Torsional behaviour of rectangular hollow sections, J. Constr. Steel Res., 59 (2003) 641–663.

DOI: 10.1016/s0143-974x(02)00060-3

[11] A. S. Tais and M. B. Abdulrahman, The effect of a circular hollow core on the torsional response of reinforced concrete beams subjected to repeated loading, Eurasian Journal of Engineering and Technology. 11 (2022) 86-101.

[12] J. Ardianto, Eigenvalue Linear Buckling Optimization Of Modified Open Web Steel Joist, Jurnal Teknik Sipil. 14 (2019) 203–207.

DOI: 10.24002/jts.v14i4.1995

[13] A. M. Baru, An Investigation of Buckling Phenomenon in Steel Elements, B.Eng. (Hons) thesis Civil Eng., Heriot Watt Univ., Dubai, 2017.

[14] M. Mohsen, A. Abbas, and A. Saadoon, Effect of Loading Level and Span Length on Critical Buckling Load, Basrah Journal for Engineering Sciences. 16 (2016) 15–21.

DOI: 10.33971/bjes.16.1.3

[15] S. Novoselac, T. Ergić, and P. Baličević, Linear and Nonlinear Buckling and Post Buckling Analysis of a Bar With the Influence of Imperfections. Teh. Vjesn., 19 (2012) 695–701.

[16] F. P. Beer, E. R. Johnston, and J. T. Dewolf, Mechanics Of Materials, fourth ed., McGraw-Hill publication, Singapore, 2006.