Abstract
The equations of motion of thin-walled beams with open cross-section considering the effects of shear flexibility, rotatory inertia in the stress resultants and variable cross-sectional properties are presented. These equations are based on Vlasov's theory of thin-walled beams, which is modified to include the effects indicated above. The formulation is also applicable to solid beams, constituting therefore a general theory of coupled flexure and torsion of straight beams. The differential equations are shown to be particularly suitable for analysis in the frequency domain using a state variables approach. The resulting equations are used in the determination of the natural frequencies and the seismic response of a building provided with a thin-walled reinforced concrete core to resist lateral loads. Finally, an example of a variable section channel beam is presented, which provides additional evidence on the generality of the formulation.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
