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单词 Beam Theory
释义

Beam Theory

中文百科

欧拉﹣伯努力栋梁方程 Euler–Bernoulli beam theory

(重定向自Beam theory)

欧拉-伯努利梁方程英语:Euler–Bernoulli beam theory),是一个关于工程力学古典梁力学的重要方程;是一个简化线性弹性理论用于用于计算梁受力和变性特征。欧拉-伯努利梁方程约形成于1750年,但这条方程却没有在后期建筑之中得到广泛的应用。直到十九世纪,这条方程才成为第二次工业革命的基石。

英语百科

Euler–Bernoulli beam theory

This vibrating glass beam may be modeled as a cantilever beam with acceleration, variable linear density, variable section modulus, some kind of dissipation, springy end loading, and possibly a point mass at the free end.
Schematic of cross-section of a bent beam showing the neutral axis.
Bending of an Euler–Bernoulli beam. Each cross-section of the beam is at 90 degrees to the neutral axis.
Bending moments in a beam

Euler–Bernoulli beam theory (also known as engineer's beam theory or classical beam theory) is a simplification of the linear theory of elasticity which provides a means of calculating the load-carrying and deflection characteristics of beams. It covers the case for small deflections of a beam that is subjected to lateral loads only. It is thus a special case of Timoshenko beam theory. It was first enunciated circa 1750, but was not applied on a large scale until the development of the Eiffel Tower and the Ferris wheel in the late 19th century. Following these successful demonstrations, it quickly became a cornerstone of engineering and an enabler of the Second Industrial Revolution.

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更新时间:2025/6/21 23:42:33