Bezpieczeństwo Liny jako Złożonego Elementu Konstrukcyjnego
In composite structural elements subject to tension, such as ropes, cables, sets of wires or bars in r.c. structures etc. the number n of component elements has an essential influence on the safety of the structure. The object of the present considerations is a rope composed of n wires. The strengt...
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| Format: | Article |
| Language: | English |
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Institute of Fundamental Technological Research
1965-03-01
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| Series: | Engineering Transactions |
| Online Access: | https://et.ippt.pan.pl/index.php/et/article/view/2743 |
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| author | W. Piekarski |
| author_facet | W. Piekarski |
| author_sort | W. Piekarski |
| collection | DOAJ |
| description | In composite structural elements subject to tension, such as ropes, cables, sets of wires or bars in r.c. structures etc. the number n of component elements has an essential influence on the safety of the structure. The object of the present considerations is a rope composed of n wires.
The strength of the i-th wire is a random variable obeying the probability distribution law for the type of steel used and independent of the strength of the remaining wires. Thus in a rope of n wires we are concerned with n independent random variables. The strength Ri of the rope (which is a random variable) is therefore a sum of n independent random variables. Hence the mean strength R of the rope is the rithmetic mean of the mean strengths R of separate wires [the Eqs. (3) and (5)1 and the dispersion of the strength is yn times smaller than that of the wires [the Eqs. (6), (6) and (6')].
Due to the reduction of strength dispersion the rope (which constitutes a structural part composed
of 71 wires) shows greater safety than that of a single wire.
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| format | Article |
| id | doaj-art-4fdd2330341c4c7886d7652abb7ab0b2 |
| institution | Kabale University |
| issn | 0867-888X 2450-8071 |
| language | English |
| publishDate | 1965-03-01 |
| publisher | Institute of Fundamental Technological Research |
| record_format | Article |
| series | Engineering Transactions |
| spelling | doaj-art-4fdd2330341c4c7886d7652abb7ab0b22025-08-20T03:49:49ZengInstitute of Fundamental Technological ResearchEngineering Transactions0867-888X2450-80711965-03-01131Bezpieczeństwo Liny jako Złożonego Elementu KonstrukcyjnegoW. Piekarski0Politechnika WarszawskaIn composite structural elements subject to tension, such as ropes, cables, sets of wires or bars in r.c. structures etc. the number n of component elements has an essential influence on the safety of the structure. The object of the present considerations is a rope composed of n wires. The strength of the i-th wire is a random variable obeying the probability distribution law for the type of steel used and independent of the strength of the remaining wires. Thus in a rope of n wires we are concerned with n independent random variables. The strength Ri of the rope (which is a random variable) is therefore a sum of n independent random variables. Hence the mean strength R of the rope is the rithmetic mean of the mean strengths R of separate wires [the Eqs. (3) and (5)1 and the dispersion of the strength is yn times smaller than that of the wires [the Eqs. (6), (6) and (6')]. Due to the reduction of strength dispersion the rope (which constitutes a structural part composed of 71 wires) shows greater safety than that of a single wire. https://et.ippt.pan.pl/index.php/et/article/view/2743 |
| spellingShingle | W. Piekarski Bezpieczeństwo Liny jako Złożonego Elementu Konstrukcyjnego Engineering Transactions |
| title | Bezpieczeństwo Liny jako Złożonego Elementu Konstrukcyjnego |
| title_full | Bezpieczeństwo Liny jako Złożonego Elementu Konstrukcyjnego |
| title_fullStr | Bezpieczeństwo Liny jako Złożonego Elementu Konstrukcyjnego |
| title_full_unstemmed | Bezpieczeństwo Liny jako Złożonego Elementu Konstrukcyjnego |
| title_short | Bezpieczeństwo Liny jako Złożonego Elementu Konstrukcyjnego |
| title_sort | bezpieczenstwo liny jako zlozonego elementu konstrukcyjnego |
| url | https://et.ippt.pan.pl/index.php/et/article/view/2743 |
| work_keys_str_mv | AT wpiekarski bezpieczenstwolinyjakozłozonegoelementukonstrukcyjnego |