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BUCKLING OF SLENDER CRACKED FIXED-FREE ENDED COLUMNS EXPOSED TO TWO CRACKS UNDER CONCENTRIC VERTICAL LOADS | ||
| AL-TAQANI | ||
| Article 1, Volume 26, Issue 5, 2013, Pages 0-0 | ||
| Author | ||
| Hakim Saeed Al-Kurayshi | ||
| Abstract | ||
| two cracks under concentric vertical load. The case which was studied is for columns fixed at one end and free at the other. The equation includes a set of sine –cosine functions but the main variables are buckling load parameter, depth of crack and positions of cracks. The main source of derivation is the elastic buckling theory using a transfer matrix method by representing cracks by a massless rotational springs. The governed equation was solved by a visual basic program and trial and error method to reach the most accurate result. The equation is checked for perfect columns to see its validity and it gave hundred percent comparison. The results show that the buckling load is reduced generally by different ratios depending on the position of the cracks and their depths. The effect of the crack depth ratio is severely affecting the buckling load especially between (0.15-0.20) ratios. The effect of position of cracks is also studied and it is found that the maximum decrease in buckling load was at position ratios β1 and β2 equal to 0.9 and 1.0 respectively. . | ||
| Keywords | ||
| Buckling load; cracks; columns; rotational spring | ||
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