In the present paper, the problems of the bending of a uniformly loaded circular plate are treated, which is supported by a crossed and tapered beam grid formed of two beams intersecting at the centre of the plate at right angles. In the case where the beam stiffeners are not welded to the circular plate, gaps between the plate and the beams may partially open according to the beam taper and support conditions of the plate and the beams. Thus, a method to find contact parts between the plate and the beams is proposed. Stress and deflection results using the proposed method are presented in dimensionless graphical form for different beam tapers and support conditions of the plate and the beams.
SekiyaT.SaitoA.HidaY.Bending of a uniformly loaded circular plate with a clamped boundary on a single-beam grid with clamped edges. In Proceedings of the 3rd Japan National Congress forApplied mechanics, 1953, pp. 29–34 (Science Council of Japan, Tokyo).
2.
OkamotoM.SekiyaT.Strength analysis of circular plate with tapered cross-stiffener (in Japanese)J. Jap. Soc. Des. Engng, 1986, 21 (2–3), 63–67.
3.
TanakaM.InomataA.Strength analysis in designing of circular plate with stiffeners (in Japanese)J. Jap. Soc. Des. Engng, 1989, 24 (9), 345–352.
4.
TimoshenkoS.Strength of materials, Part 1: Elementary theory and problems, 3rd edition, 1955 (Van Nostrand, New York).
5.
TimoshenkoS.Woinowsky-KriegerS.Theory of plates and shells, 2nd edition, 1959, pp. 54–58 (McGraw-Hill, New York).
6.
SekiyaT.SaitoA.Structural mechanics of thin plates (in Japanese), 1968, pp. 197–200 (Kyoritsu Shuppan, Tokyo).
