An Infinite Solid Cylinder under Bending by Concentrated Loads
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概要
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The state of stress in a beam of circular cross-section simply supported and loaded in the mid-span is considered as the non-axisymmetric problem of a cylinder within the framework of the three dimensional theory of elasticity. In this analysis, Dougall's stress function approach is used and boundary conditions are satisfied by use of the Fourier integral transforms. In this case, the stresses on the surface are expressed with divergent series including divergent integrals, but by eliminating the divergent terms and using Shanks' acceleration method, numerical calculations are carried out. The validity of the elementary beam theory is examined in comparison with the results thus obtained.
- 一般社団法人日本機械学会の論文
著者
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Matsumoto Hiroyuki
Tokyo Institute Of Technology
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NAKAHARA Ichiro
Tokyo Institute of Technology
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Nakahara I
Scientific And Technological College
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KASANO Hideaki
Tokyo Institute of Technology
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OSHIMA Hisashi
Mitsubishi Motor's Corporation
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Kasano H
Takushoku Univ. Tokyo Jpn
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Oshima Hisashi
Mitsubishi Motor's Corporation
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Matsumoto H
Tokyo Institute Of Technology Department Of Mechanical Engineering And Science
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