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Technical Briefs

Shape of a Soft Container Under Hydrostatic Load

[+] Author and Article Information
Gil Iosilevskii

Faculty of Aerospace Engineering, Technion, Haifa 32000, Israeligil@aerodyne.technion.ac.il

J. Appl. Mech 77(1), 014501 (Sep 30, 2009) (3 pages) doi:10.1115/1.3173765 History: Received August 29, 2008; Revised April 11, 2009; Published September 30, 2009

This paper concerns an open container, formed by bending lengthwise a long strip of weightless nonstretchable impermeable fabric and holding its long edges parallel and horizontal. Given that the container is filled to the rim with fluid, closed form analytical solution is obtained for the capacity of the container and the shape of its envelope.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 3

Few sample shapes. The third, fourth, and fifth shapes (counting from the outside) correspond to the maximum area (2x0/l≈0.643), vertical edges (2x0/l≈0.457), and maximum draft (2x0/l≈0.195), respectively.

Grahic Jump Location
Figure 2

Following clockwise from the upper left corner, displayed in the figure are the solution (Eq. 27) of Eq. 26, the tension in the envelope (Eq. 28), the draft (Eq. 24), and the area (Eq. 30). The dashed lines are approximations.

Grahic Jump Location
Figure 1

The tub (right) and the element of its envelope

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