This article is cited in 5 papers

Approximate formulas for sagging deflection of an elastic rod under transverse loading

Yu. V. Zakharov^a, K. G. Okhotkin^b, A. Yu. Vlasov<sup>c

a</sup> Kirenskii Institute of Physics, Siberian Division, Russian Academy of Sciences, Krasnoyarsk, 660036
^b Siberian State Technology University, Krasnoyarsk, 660049
^c M. F. Reshetnev Siberian State University of Science and Technologies

Abstract: Sagging deflection of a thin elastic rod under transverse loading is expressed approximately in terms of elementary functions. Series expansions of the complete and incomplete elliptic integrals of the first and second kind in the neighborhood of $k^2 = 1/2$ are obtained.

UDC: 539.3

Received: 29.04.2002

 English version: Journal of Applied Mechanics and Technical Physics, 2002, 43:5, 745–747

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