CONFERENCE PROCEEDINGS INTERNATIONAL CONFERENCE"CONTEMPORARY ACHIEVEMENTS IN CIVIL ENGINEERING 2015 "FACULTY OF CIVIL ENGINEERING SUBOTICA , 2015.y., pp. 359-365
SOLUTION OF THE SAINT-VENANT'S TORSION WITH FINITE DIFFERENCE METHOD| |
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| DOI: 10.14415/konferencijaGFS 2015.045 |
| UDC: 519.6:624.071.3 |
| CC-BY-SA 4.0 license |
| Author : Zaj, Andraš |
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| | Summary: |
| | The goal of this work is the numerical solving of Saint-Venant’s (pure, uniform) torsion on prismatic beams made up from homogeneous, linearly elastic material. In engineering practice we can find this problem but there is no analitycal solving method or just a very complicated one. For solving this problem we have to search a numerical method, and one of these is finite difference method. Finite difference method can be successfully used on thin-walled structural members, on problems with plastically deformable contructions, because of its simplicity and clear connection between numerics and physical meaning of members in equations. In the work is given the solution for torsion problem of prismatic beam, with different cross sections. Numerical solving of problem is made with Wolfram Mathematica. |
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| | Keywords: |
| | Saint-Venant, finite difference method, partial differential equations |
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