Optimum Shape Design for Sliding Surface of Beam Subjected to Moving Load

(Simultaneous minimization of deflection and deflection angle at loading point)


Takaaki OIWA, Shunsuke KOIKE and Shintaro MURASE


Abstract The purpose of this study is to minimize simultaneously the deflection and the deflection angle of the straight beam subjected to moving transverse load. This paper proposes optimum shape design method of the sliding surfaces of fixed beam and simple beam. First, the shapes of the sliding surfaces were modified from flat to curved ones so the deflection of loading point is eliminated. Consequently, not only the deflection at the loading point but also the deflection angle became less than 20% of that of the straight beam. Second, with a shape modification to minimize the deflection angle at the loading point, the deflection angle decreased to less than 5%. Moreover, the deflection also decreased to about 20%. Last, an averaged surface shape of the above two modified shapes produced both of the deflection and the deflection angle less than 10% of those of the straight beam.
Key words: shape optimum design, beam, deflection, deflection angle





References

ball1.gif Takaaki OIWA, Shunsuke KOIKE and Shintaro MURASE
Optimum Shape Design for Sliding Surface of Beam Subjected to Moving Load
(Simultaneous minimization of deflection and deflection angle at loading point)
J. Jpn. Soc. Design Eng., Vol.34, No.10 (1999) pp. 223-339.(in Japanese)

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