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

<p>An incremental solution of a member in bending and compression by displacement method with shear force impact is presented, wherein individual incremental steps, both the geometrical characteristics of the cross--section and the position of the neutral axis, can be changed. Functions of loads, internal forces and displacements are represented by trigonometric series. In every load step internal forces and deformation state is memorised, therefore history of the load and stiffness is taken into account. This solution is useful both in static calculations of structures being strengthened as well as in structures, in which degradation of stiffness under load occurs as a result of wall stability loss. The member may be loaded by uniformly distributed load, any number of concentrated forces and nodal moments.</p>
</abstract>

An incremental solution of a member in bending and compression by displacement method with shear force impact is presented, wherein individual incremental steps, both the geometrical characteristics of the cross--section and the position of the neutral axis, can be changed. Functions of loads, internal forces and displacements are represented by trigonometric series. In every load step internal forces and deformation state is memorised, therefore history of the load and stiffness is taken into account. This solution is useful both in static calculations of structures being strengthened as well as in structures, in which degradation of stiffness under load occurs as a result of wall stability loss. The member may be loaded by uniformly distributed load, any number of concentrated forces and nodal moments.

Static Analysis of a Variable Cross-Section Element Under Load

Faculty of Materials, Civil and Environmental Engineering

Acta Scientiarum Polonorum Architectura

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

{"article-title":"Static Analysis of a Variable Cross-Section Element Under Load"}

An incremental solution of a member in bending and compression by displacement method with shear force impact is presented, wherein individual incremental...

Static Analysis of a Variable Cross-Section Element Under Load

Published Online: Aug 19, 2021

Page range: 27 - 40

Received: Dec 28, 2020

Accepted: May 31, 2021

DOI: https://doi.org/10.22630/aspa.2021.20.2.12

Keywords
incremental solution by displacement method, strengthening of structures, degradation of stiffness

© 2021 Jan Zamorowski, published by Sciendo

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

Static Analysis of a Variable Cross-Section Element Under Load

Published Online: Aug 19, 2021

Page range: 27 - 40

Received: Dec 28, 2020

Accepted: May 31, 2021

DOI: https://doi.org/10.22630/aspa.2021.20.2.12

Keywordsincremental solution by displacement method, strengthening of structures, degradation of stiffness

© 2021 Jan Zamorowski, published by Sciendo

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

Keywords
incremental solution by displacement method, strengthening of structures, degradation of stiffness