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Incipient failure of a circular cylinder under gravity

✍ Scribed by J.A. Chamberlain; J.E. Sader; K.A. Landman; D.J. Horrobin; L.R. White

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
303 KB
Volume
44
Category
Article
ISSN
0020-7403

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✦ Synopsis

We consider the incipient failure of a circular cylinder under gravitational loading. Axisymmetric slip-line ΓΏeld theory is used to solve for the stress distribution in the plastic region of the cylinder at incipient failure. This extends similar work on the incipient failure of a rectangular block under gravity (Int. J. Mech. Sci. 43(3) (2000) 793), to the axisymmetric geometry. Our calculations show that the height of incipient failure depends not only on the yield stress and density of the material, but also on the radius of the cylinder and the coe cient of friction at the base. In addition, we ΓΏnd that there exists a critical coe cient of friction above which the height of incipient failure is una ected. These results suggest a method of measuring the yield stress by observing the height of incipient failure.

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