PSI - Issue 28

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Fatih Kocatürk et al. / Procedia Structural Integrity 28 (2020) 1276–1285 Author name / Structural Integrity Procedia 00 (2019) 000–000

1280

5

(2)

If � � � � and � � � are put in Eq. (3), the equation of the line � in Eq. (4) is obtained. � � ��� � � � � � � � � � ��� � ��

(3)

Fig. 2. Schematic of bolt having shaft diameter smaller than the socket diameter.

Fig. 3. Bolt cross section in the coordinate system.  Then, the equation of the line � is found by using the slope of the line, and the point � � � � ��� � � �� in Eq. (4). The slope of the line � can be found by using the fact that the slopes of perpendicular lines are opposite reciprocals, i.e., if the slopes of two perpendicular lines ( � and � ) are multiplied, the value �� is obtained. � ���� � � � � ��� � � (4)  Finally, the intersection point, � � � � � , of the lines � and � can be found by substituting Eq. (4) in Eq. (3) as follows: ���� � � � � ��� � � � ��� � � � � � � � � � ��� � �� ���� � � ��� �� � ��� � � ��� � � ���� � � � � � ��� � ��