Buckling of Slender Prismatic Columns with a Single Edge Crack under Concentric Vertical Loads

M. Arif GÜREL

Makale detayları

Buckling of Slender Prismatic Columns with a Single Edge Crack under Concentric Vertical Loads

Yazarlar:

M. Arif GÜREL

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Engineering and Environmental Sciences 2005 Vol.29 Issue 3, pp.185-193

Belge Tipi:

Makale

Yayın Tarihi:

2/2005

Belge Dili:

Türkçe

Document ID (Org No.):

2000745058

Sıklık:

Üç Yıllık

eISSN:

1303-6157

pISSN:

1300-0160

Özet:

 

The investigation of the stability behavior of slender  columns with cracks is an important problem and finds applications in  structural, mechanical and aerospace engineering.  This study  investigates the buckling of slender prismatic columns with a single  nonpropagating edge crack subjected to concentrated vertical loads.   The transfer matrix method and fundamental solutions of intact columns  (columns without any cracks) are combined for determining the buckling  loads of cracked columns.  The cracked section is modeled by a  massless rotational spring whose flexibility depends on the local  flexibility induced by the crack.  Eigenvalue equations are obtained  explicitly for columns with various end conditions, from second order  determinants.  Numerical examples show that the effects of a crack on  the buckling load of a column depend on the depth and the location of  the crack.  As expected, buckling load decreases conspicuously as the  crack depth increases.  For a constant crack depth, a crack located in  the section of the maximum bending moment causes the largest decrease  in the buckling load.  On the other hand, if the crack is located just  in the inflexion point at the corresponding intact column, it has no  effect on the buckling load.  The study showed that the transfer  matrix method is a simple and efficient method with which to analyze  cracked columns.

 

The investigation of the stability behavior of slender  columns with cracks is an important problem and finds applications in  structural, mechanical and aerospace engineering.  This study  investigates the buckling of slender prismatic columns with a single  nonpropagating edge crack subjected to concentrated vertical loads.   The transfer matrix method and fundamental solutions of intact columns  (columns without any cracks) are combined for determining the buckling  loads of cracked columns.  The cracked section is modeled by a  massless rotational spring whose flexibility depends on the local  flexibility induced by the crack.  Eigenvalue equations are obtained  explicitly for columns with various end conditions, from second order  determinants.  Numerical examples show that the effects of a crack on  the buckling load of a column depend on the depth and the location of  the crack.  As expected, buckling load decreases conspicuously as the  crack depth increases.  For a constant crack depth, a crack located in  the section of the maximum bending moment causes the largest decrease  in the buckling load.  On the other hand, if the crack is located just  in the inflexion point at the corresponding intact column, it has no  effect on the buckling load.  The study showed that the transfer  matrix method is a simple and efficient method with which to analyze  cracked columns.

Makale detayları

Buckling of Slender Prismatic Columns with a Single Edge Crack under Concentric Vertical Loads

Yazarlar: M. Arif GÜREL

Yayıncı: TUBITAK

Dergi: Turkish Journal of Engineering and Environmental Sciences 2005 Vol.29 Issue 3, pp.185-193

Belge Tipi: Makale

Yayın Tarihi: 2/2005

Belge Dili: Türkçe

Document ID (Org No.): 2000745058

Sıklık: Üç Yıllık

eISSN: 1303-6157

pISSN: 1300-0160

Sayı

Yazarlar:

M. Arif GÜREL

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Engineering and Environmental Sciences 2005 Vol.29 Issue 3, pp.185-193

Belge Tipi:

Makale

Yayın Tarihi:

2/2005

Belge Dili:

Türkçe

Document ID (Org No.):

2000745058

Sıklık:

Üç Yıllık

eISSN:

1303-6157

pISSN:

1300-0160