COEFFICIENT OF SENSITIVENESS TO A REGISTERED CROSS-SYMMETRIC CRACK AT STABILITY OF A SLENDER PRISMATIC COLUMN

Document Type : Original Article

Author

TECHNICAL UNIVERSITY –VARNA 9010 BULGARIA.

Abstract

Abstract:
Subject of research in the publication is a steel column with a square cross section with registered not-developing, end, cross-symmetric crack with different extent of penetration and different location longwise the column, which is loaded with, concentrated centrally applied force in the free, border cross section. Determined are the values of the critical force through a direct method of stability analysis of one-dimensional tasks. The area of the column that contains the cross section with a registered crack is being shaped through a torsion spring, as the elements of the matrix for its stiffness are determined through the theorem of Castiglano and the methods of the linear fracture mechanics. The impact of the location and the extent of the penetration of a registered crack on the value of the critical force has been proved. A coefficient of sensitiveness has been entered to the registered cross-symmetric crack for the researched steel column through which the complex impact of the location and the extent of penetration on the value of the critical force is calculated.

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