On the 'proof of assumptions in the basic theories of bending and torsion

Sinniah llanko

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On the 'proof of assumptions in the basic theories of bending and torsion

机译：论弯曲和扭转基本理论中的假设证明

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In the theory of beam bending, transverse sections of a beam are assumed to remain plane during bending. In torsion analysis, the radii of shafts of circular cross-sections are assumed to remain straight during twisting. Some popular textbooks present mathematical proofs for these statements. This article shows that these proofs are incorrect and that these statements should be treated as assumptions.

机译：在梁弯曲理论中，假定梁的横截面在弯曲期间保持平面。在扭转分析中，假定圆形横截面的轴的半径在扭转过程中保持笔直。一些流行的教科书为这些陈述提供了数学证明。本文表明，这些证明是不正确的，这些陈述应被视为假设。

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《International Journal of Mechanical Engineering Education》 |2007年第3期|p.219-225|共7页
作者
Sinniah llanko;
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正文语种 eng
中图分类机械、仪表工业;
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On the 'proof of assumptions in the basic theories of bending and torsion

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