Authors :
MohamedM. Hassaan; Nabil S. Mahmoud; Fikry A. Salem
Volume/Issue :
Volume 7 - 2022, Issue 1 - January
Google Scholar :
http://bitly.ws/gu88
Scribd :
https://bit.ly/3JKz2GX
DOI :
https://doi.org/10.5281/zenodo.6234885
Abstract :
The main objective of this manuscript is to
offer an optimization approach for the common thinwalled I, Z and channel-section beams subjected to direct
torsion. The displacement limitations for the incident
angle of twist are only considered: Using the Lagrange
multiplier method, the mass of the supposed element is
assumed to be the objective function, the deduced
equations have solutions can represent the optimal values
of the ratios between dimensions of the formed parts of
the considered sections with respect to the global length of
element.
Keywords :
Direct torsion, Optimization Approach, Optimal dimensions, cold formed sections.
The main objective of this manuscript is to
offer an optimization approach for the common thinwalled I, Z and channel-section beams subjected to direct
torsion. The displacement limitations for the incident
angle of twist are only considered: Using the Lagrange
multiplier method, the mass of the supposed element is
assumed to be the objective function, the deduced
equations have solutions can represent the optimal values
of the ratios between dimensions of the formed parts of
the considered sections with respect to the global length of
element.
Keywords :
Direct torsion, Optimization Approach, Optimal dimensions, cold formed sections.
