Optimal Modelling of Steel Multi-Span Beams Using the Gradient-Iterative Method

Author:

Mikulski Leszek1

Affiliation:

1. Cracow University of Technology , Kraków , Poland

Abstract

Abstract The article describes the gradient-iterative optimization method and outlines the method’s basic assumptions and illustrates its general use. The method’s implementation was illustrated based on a steel I-beam. The described calculation example concerns the optimization of the height of the web of a multi-span beam. The method enables finding an optimal solution with the use of simple and commonly available software. To illustrate the effectiveness of the optimization method, multiple calculations were performed for beams with various spans and various load conditions.

Publisher

Walter de Gruyter GmbH

Subject

General Medicine

Reference12 articles.

1. 1. Jasińska, D and Kropiowska, D 2018. The optimal design of an arch girder of variable curvature and stiffness by means of control theory. Hindawi, Mathematical Problems in Engineering, https://doi.org/10.1155/2018/8239464.10.1155/2018/8239464

2. 2. Kropiowska, D and Mikulski, L and Szeptyński, P 2018. Optimal design of a Kirchhoff plate of variable thickness by application of the minimum principle. Structural and Multidisciplinary Optimization, https://doi.org/10.07/s00158-018-2148-3.

3. 3. Laskowski, H 2017. Optimal design of structural elements as a control theory problem. Technical Transactions6, 119-134.

4. 4. Mikulski, L and Laskowski, H 2009. Control theory in composite structure optimizing. Measurement Automation Monitoring6, 346-351.

5. 5. Mikulski, L 2004. Control structure in optimization problems of bar systems. International Journal of Applied Mathematics and Computer Science14, 515-529.

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