S. Syngellakis et Es. Kameshki, ELASTIC CRITICAL LOADS FOR PLANE FRAMES BY TRANSFER-MATRIX METHOD, Journal of structural engineering, 120(4), 1994, pp. 1140-1157
Citations number
26
Categorie Soggetti
Engineering, Civil","Construcion & Building Technology
The transfer matrix methodology is adapted to the stability analysis o
f unbraced frames. A nonbranching chain of members is generated by par
titioning the structure at floor levels. Geometric nonlinearity is acc
ounted for by introducing the stability functions into the member stif
fness and the flexural effect of axial forces into the equations of eq
uilibrium. Field and station transfer matrices are derived on the basi
s of a minimum number of only the essential degrees of freedom per flo
or level. Displacements and internal forces are determined by a direct
procedure that combines a gradual increase of the applied load with i
teration at each load level. The critical load is located to a specifi
ed degree of accuracy on the first singularity of the appropriate solu
tion matrix. The developed formulation accounts for joint and base fle
xibility as well as lateral load and fixed-end moments effects. The ac
curacy and efficiency of its computer implementation are tested throug
h comparison of its predictions with results obtained experimentally o
r by other analytical methods.