Abstract
This chapter presents a higher-order beam analysis of a joint structure in which multiple straight box beam members are connected at a joint, as shown in Fig. 10.1a. Owing to extensive section deformation occurring near the joint, the overall structural behavior of the joint structure becomes considerably more flexible than predicted by the classical beam theory (Donders et al. (2009); Mundo et al. (2009)). One can certainly expect improved or more accurate predictions with a higher-order beam theory, but the field variables of multiple box beams at the joint are difficult to match (Basaglia et al. (2012); Basaglia et al. (2018); Choi et al. (2012); Choi and Kim (2016a, 2016b); Jang et al. (2008); Jang and Kim (2009); Jang et al. (2013). Unless they are matched accurately, there is no way to make the use of the advantages of a higher-order beam theory which is shown to be accurate for straight box beams without any joints.
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Notes
- 1.
One can refer to Choi and Kim (2016b) to investigate joint flexibility by in-plane bending or extension loads.
- 2.
Because the direction of this moment is normal to each edge, it is called the wall-normal edge moment.
- 3.
Lagrange multipliers are generally used to solve an optimization problem by identifying the maximum or minimum value of a functional subjected to equality constraints.
- 4.
See the paragraph below Eq. (3.10) in Chap. 3.
References
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Kim, Y.Y., Jang, GW., Choi, S. (2023). Joint Structures of Box Beams. In: Analysis of Thin-Walled Beams. Solid Mechanics and Its Applications, vol 257. Springer, Singapore. https://doi.org/10.1007/978-981-19-7772-5_10
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DOI: https://doi.org/10.1007/978-981-19-7772-5_10
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