Analysis of Rigidity of a Shaft With a Crack Diagonal

Abstract

In this work the rigidity of a shaft with diagonal crack in its half part in its elastic range under static conditions simply supported in its ends and with concentrated load to the center is determined. The functional relationship for the variation of the second moment of area of their different cross-sections is deduced. For double numeric integration the slope and the deformation of the shaft is calculated. The frequency in which the cracked system would enter in resonance is calculated. The rigidity of the shaft with crack is smaller that the rigidity of the shaft without crack. Based on the results of the study is concluded that the rigidity of the shaft with crack can be evaluated with the procedure described to determine a range of frequencies in which the system would enter in resonance. Therefore the system would be unstable and detectable.