圓弧及切込みを持つ斷面柱體の捩り應力
スポンサーリンク
概要
- 論文の詳細を見る
For the section enclosed by a spiral curve and a circular arc. we apply the following torsion stress function : -[numerical formula] where α=radius of a circle, n=fraction or integer from 1/2 to 2,A and B=constants concerning the shape of a section. Boundary lines can be determined by solving the following equation with respect to γb or cos nθ. [numerical formula] The stresses are [numerical formula] It is necessary to trace the values of stresses on the boundary in our case. As to the crescent profile, the maximum value of Zθ^^⌒ occurs on the intersecting point of a circular arc and a polar axis, and that of |Zr^^⌒| does on the spiral or outer boundary between θ=0 and θ=θa, where θa is the angle, at which two arcs of circle and spiral intersect each other. The shorter the radius of a circular arc, the greater the value of this maximum Zθ^^⌒ and consequently the profile becomes wider. When the radius of a circle is reduced to zero, we get a reentrant profile, which is easily inferrable from (1). The stress function for this shape of profile is [numerical formula] where m≦n, 2≧m and n≧1/2. [table] The values of m and n depend upon the shape of profile. The variations of stresses along on the periphery are easily seen on Table 1. Severe stress is induced at the reent ant point as in the profiles (A), (B) and (C). This accumulation of intensive stress can easily be relieved by producing a small circular arc in place or by rounding off the reentrant part to a small degree, which will be at once understood from the first description in this paper.
- 社団法人日本船舶海洋工学会の論文
- 1936-08-20