Abstract
The article presents a comparison of results of optimized calculation of a truss beam which was chosen as a combined construction. The results of calculation of a beam are compared using the method based on the properties of spacer systems and the calculation of the construction designed in LIRA software complex. The article is dedicated to verification of adequacy of the results of theoretical calculations of construction optimization. Values of longitudinal forces and bending moments appearing in a truss beam are chosen as convergence criteria. Two variants of construction loading are considered: a truss beam exposed to constant load only and a truss beam exposed to constant and temporary load. In the case under consideration, the minimum value (weight) of construction is an optimality criteria, variable parameters include beam panel length and camber height of a trussing rod. As a result, the construction will be considered optimal, if bearing and maximal (between the pillars) bending moments are equal in it. The result of verification of the obtained data is the value of error.
Highlights
In solving optimal design problems, regularities are found which can be generalized to formulate axiomatical statements – postulates [1, 2]
With the permanent number of project variables, adding restrictions narrows the range of feasible solutions and cannot reduce the value of the objective function of the optimal solution – it either remains unchanged or increases
On the basis of the above postulates, an optimization method for a truss beam is proposed, which is based on following aspects: 1. In combined beam structures, the material consumption is determined by elements that experience a stressed state in the form of bending compression
Summary
In solving optimal design problems, regularities are found which can be generalized to formulate axiomatical statements – postulates [1, 2]. Using them in creating optimization algorithms allows clearer understanding of ways of achieving goals, i.e. simplifying problem solving. 1. Increase in the degree of equal strength generally reduces the objective function value. The lowest value of the objective function is reached in the system with fully equal strength. 2. Increase in the number of project variables with the unchanged system of stress-strain state restrictions either results in decreasing of the objective function of the optimal solution or leaves it unchanged. 3. With the permanent number of project variables, adding restrictions narrows the range of feasible solutions and cannot reduce the value of the objective function of the optimal solution – it either remains unchanged or increases
Sign-in/Register to view highlights & summary 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.
