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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Hankinson's equation ： ウィキペディア英語版 Hankinson's equation Hankinson's equation (also called Hankinson's formula or Hankinson's criterion)〔Hankinson, R. L., 1921, ''Investigation of crushing strength of spruce at varying angles of grain'', Air Force Information Circular No. 259, U. S. Air Service.〕 is a mathematical relationship for predicting the off-axis uniaxial compressive strength of wood. The formula can also be used to compute the fiber stress or the stress wave velocity at the elastic limit as a function of grain angle in wood. For a wood that has uniaxial compressive strengths of $\backslash sigma\_0$ parallel to the grain and $\backslash sigma\_$ perpendicular to the grain, Hankinson's equation predicts that the uniaxial compressive strength of the wood in a direction at an angle $\backslash alpha$ to the grain is given by :$$ \sigma_\alpha = \cfrac~\cos^2\alpha} Even though the original relation was based on studies of spruce, Hankinson's equation has been found to be remarkably accurate for many other types of wood. A generalized form of the Hankinson formula has also been used for predicting the uniaxial tensile strength of wood at an angle to the grain. This formula has the form〔Clouston, P., 1995, (The Tsai-Wu strength theory for Douglas fir laminated veneer ), M. S. Thesis, The University of British Columbia.〕 :$$ \sigma_\alpha = \cfrac~\cos^n\alpha} where the exponent $n$ can take values between 1.5 and 2. The stress wave velocity at angle $\backslash alpha$ to the grain at the elastic limit can similarly be obtained from the Hankinson formula :$$ V(\alpha) = \frac \cos^2\alpha} where $V\_0$ is the velocity parallel to the grain, $V\_$ is the velocity perpendicular to the grain and $\backslash alpha$ is the grain angle. == See also == * Material failure theory * Linear elasticity * Hooke's law * Orthotropic material * Transverse isotropy 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Hankinson's equation」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.