<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>To calculate the bending deformations of a package of elastic beams suspended by means of tie rods, a calculation algorithm using the step function Φ (x-a) from the professional MATHCAD calculation program was used. The step function Φ (x-a) allowed the writing of the analytical relations of the internal shear and bending forces in the beam subjected to bending and the drawing of the corresponding diagrams. Also, the calculation algorithm allowed the writing of the analytical relations of the deformations of the bar (arrows and rotations) with the help of the loading function Ψ (x), respectively its derivative Ψ d(x). The numerical simulation presented in this work allowed the study of the influence of longitudinal sliding on the internal shear and bending force and deformation diagrams for two presumptive connection situations of package beams that were expressed by the degree of preventing sliding (δ =50% and δ =100%), which is defined as the ratio between the moment of inertia of the hexagonal section comprising the n beams as a unitary whole and the one calculated as the sum of the moments of inertia of the sections of the n beams</p>
</abstract>

To calculate the bending deformations of a package of elastic beams suspended by means of tie rods, a calculation algorithm using the step function Φ (x-a) from the professional MATHCAD calculation program was used. The step function Φ (x-a) allowed the writing of the analytical relations of the internal shear and bending forces in the beam subjected to bending and the drawing of the corresponding diagrams. Also, the calculation algorithm allowed the writing of the analytical relations of the deformations of the bar (arrows and rotations) with the help of the loading function Ψ (x), respectively its derivative Ψ d(x). The numerical simulation presented in this work allowed the study of the influence of longitudinal sliding on the internal shear and bending force and deformation diagrams for two presumptive connection situations of package beams that were expressed by the degree of preventing sliding (δ =50% and δ =100%), which is defined as the ratio between the moment of inertia of the hexagonal section comprising the n beams as a unitary whole and the one calculated as the sum of the moments of inertia of the sections of the n beams

Study of the Influence of the Longitudinal Slipping of a Package of Suspended Bars on Stress Diagrams and on its Deformations

Scientific Bulletin of Valahia University - Materials and Mechanics

This work is licensed under the Creative Commons Attribution 4.0 International License.

To calculate the bending deformations of a package of elastic beams suspended by means of tie rods, a calculation algorithm using the step function Φ (x-a)...

Study of the Influence of the Longitudinal Slipping of a Package of Suspended Bars on Stress Diagrams and on its Deformations

Published Online: Dec 11, 2023

Page range: 42 - 48

DOI: https://doi.org/10.2478/bsmm-2023-0018

Keywords
Hyperstatic elastic beam, MATHCAD step function, load function

© 2023 Cornel Marin et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Study of the Influence of the Longitudinal Slipping of a Package of Suspended Bars on Stress Diagrams and on its Deformations

Published Online: Dec 11, 2023

Page range: 42 - 48

DOI: https://doi.org/10.2478/bsmm-2023-0018

KeywordsHyperstatic elastic beam, MATHCAD step function, load function

© 2023 Cornel Marin et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Hyperstatic elastic beam, MATHCAD step function, load function