高力ボルト引張り接合に関する研究 : 第 1 部板のバネ常数設定の為の軸対称三次元弾性理論解析 (その 1)
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概要
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The study of tension type joint sometemes involves the question of finding out the spring constant of the plate. Although this is a factor that greatly affects the strength of joint, no efficient approaches have been made so far for the solution except some attempts to determine an approximate value based on unverified hypotheses or by an reverse operation of values obtained by experiments covering the total joint area. To account for this situation is the absence of exact solution by means of which it is possible to find the range of stress distribution and elastic operation inside the bolted plates, as well as the amount of change in shape on the plate surface under pressure. This paper describes a procedure in which plates fastened with bolts were transformed into a model as shown in Fig. 1; the working of the circular load on the edge of the round hole on infinite plates with holes presented as three-dimensional axisymmetric problem in order to obtain exact solution by three-dimensional elastic theory and thus to seek the spring constant of plate mathematically. This analysis was made by obtaining a stress function by means of combinations of harmonic functions using cylindrical coordinates. Then mathemattical calculaions were made for four examples of combinations of variables of : bolt hole diameter, load area and plate thickness. Further, another calculation was made using one of these four examples through methods; finite element method of plane stress and three-dimensional axisymmetry. It has been found that the results using the three-dimensional axisymmetry of finite element method and experimental value concerning stress distribution agree very well with the theoretical value described in this paper.
- 1969-10-30
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