ЗАСТОСУВАННЯ МЕТОДІВ МАТЕМАТИЧНОЇ СТАТИСТИКИ ДЛЯ ВИЗНАЧЕННЯ ВАГИ МОСТОВИХ КРАНІВ

The article presents a new method for solving the scientific and practical task of automating the calculation of the weight of general-purpose overhead cranes. The numerical data on the weight of existing cranes are provided in tables and structured according to load capacity and span. Hypotheses of mathematical statistics were applied, which allowed the results to be distributed according to the normal law under the assumption of equal accuracy of the obtained data. Based on these assumptions, the method of least squares was used to construct a two-variable function that establishes the relationship between the crane's weight, span, and load capacity by combining these parameters. A formula was derived that enables the weight of cranes to be calculated programmatically. The advantages of the proposed method are substantiated in the article.

Publication Details

Journal
The Scientific Issues of Ternopil Volodymyr Hnatiuk National Pedagogical University Series pedagogy
Published
2024-11-28
Primary Topic
Chemistry and Stereochemistry Studies
Type
article
Field-Weighted Citation Impact
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article

ЗАСТОСУВАННЯ МЕТОДІВ МАТЕМАТИЧНОЇ СТАТИСТИКИ ДЛЯ ВИЗНАЧЕННЯ ВАГИ МОСТОВИХ КРАНІВ

The Scientific Issues of Ternopil Volodymyr Hnatiuk National Pedagogical University Series pedagogy
Chemistry and Stereochemistry Studies
article

ЗАСТОСУВАННЯ МЕТОДІВ МАТЕМАТИЧНОЇ СТАТИСТИКИ ДЛЯ ВИЗНАЧЕННЯ ВАГИ МОСТОВИХ КРАНІВ

article en

Abstract

The article presents a new method for solving the scientific and practical task of automating the calculation of the weight of general-purpose overhead cranes. The numerical data on the weight of existing cranes are provided in tables and structured according to load capacity and span. Hypotheses of mathematical statistics were applied, which allowed the results to be distributed according to the normal law under the assumption of equal accuracy of the obtained data. Based on these assumptions, the method of least squares was used to construct a two-variable function that establishes the relationship between the crane's weight, span, and load capacity by combining these parameters. A formula was derived that enables the weight of cranes to be calculated programmatically. The advantages of the proposed method are substantiated in the article.

The Scientific Issues of Ternopil Volodymyr Hnatiuk National Pedagogical University Series pedagogy
Openalex Percentile: Top 57%
Chemistry and Stereochemistry Studies
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