Monday, August 15, 2016

TORSIONAL AND LOCAL BUCKLING continue1

1.1       Non-uniform Torsion


If the member is not free to warp or the torque varies along its length, both dθ/dz and the amount of warping will vary. The fundamental differential equation for non-uniform torsion.


1.2       Torsional Buckling
Sections in which the shear center and centroid can buckle by twisting with the longitudinal axis through the centroid remain straight. Consider the arbitrary section of this type.


1.3       Torsional/Flexural Buckling
Sections in which the shear center and centroid do not coincide (channel, angles,….) can buckle by a combination of twisting and bending. Consider the arbitrary shaped column . When buckling occurs, the cross section is displaced laterally and rotates at the same time.


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