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4. Conclusions
The computational results of equation (3) are demonstrated in Figure 5 (a). The vertical axis of Figure 5 (b) presents Pf/Pn, where Pn and Pf are the ice forces given by equations (3) and (20), respectively. The radius of the structure is 30-500 cm, and the ice thickness (h) is 50cm. According to Figure 5 (a), the ice force from equation (3) is approximately 70 tf when the radius is 250cm and the change in the water level is 10cm. On the other hand, under flooded conditions the ice force from equation (20) is about 64% of the value from equation (3) according to Figure 5 (b). Thus the ice force is approximately 45tf.

048-1.gif

Figure 5 (a) The computational results of equation (3) (h = 50cm)

048-2.gif

Figure 5 (b) The relationship between Pn/Pf and K (the effects of a structure's radius)

References
(1)Kerr A. D.: Ice Forces on Structure due to a Change in Water Level; Proceedings, IAHR Third International Symposium on Ice Problems, Hanover, 1975.
(2)F.T.Christensen: Interaction Between Floating Ice Sheets and Vertical Structures due to Water Level Fluctuations; Tech, Univ. of Denmark, S. Paper 5, No.38, 1986.
(3)Nakazawa N., Yamada M., Hamanaka K., Saeki H.: Vertical ice Forces Exerted on Upright Circular Cross-Sectional Structures; Proceeding of Cold Region
Technology Conference, 1995 (in Japanese).
(4)Enoki K., Terashima T., Yamazaki K., Nakazawa N., Saeki H.: Vertical Ice Forces Caused by Water Level Changes Exerted on Inclined Structures; Symposium on Okhotsk Sea and Sea Ice, 1991 (in Japanese).

 

 

 

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