軸対称荷重時の球殼の応力解析とその応用

抄録

In this papers we deal with the spherical shell which has a rather large valve of the wall-thickness by it's diameter. In such a case, when we solve the diffrencial equations the asymptotic method which is usually adopted to the thin-walled shell cannot be applied. The exact solution requires the very troublesome numerical work, but electronic digital computer will remove such difficulties to large extent. According to Flugge's theory, the solution is obtained in a form of power series. To discuss the stress state of the whole zone of spherical shell, eight series must be used, and linear-combination of these series make the general solution of our problem. Now we sholl consider an example which involves ten boundary conditions, and then as one of applycations of this problem, the spherical joint which is used for the space structure composed of steel tubes will be discussed in regard to its stress state and its ultimate strength.