bending moment

简明释义

弯矩

英英释义

A bending moment is a measure of the internal moment that induces bending of a beam or structural element due to external loads, reactions, or moments applied to it.

弯矩是指由于施加在梁或结构元件上的外力、反作用力或力矩而引起的内部力矩,导致其发生弯曲的量度。

例句

1.During the load test, we measured the bending moment 弯矩 to ensure compliance with standards.

在负载测试期间,我们测量了bending moment 弯矩以确保符合标准。

2.The bending moment 弯矩 at the center of the beam is typically the highest.

梁中心的bending moment 弯矩 通常是最高的。

3.The engineer calculated the maximum bending moment 弯矩 that the beam could withstand before failure.

工程师计算了梁在失效之前能够承受的最大bending moment 弯矩

4.To minimize the bending moment 弯矩, the architect designed the roof with a gentle slope.

为了最小化bending moment 弯矩,建筑师将屋顶设计为缓坡。

5.In bridge design, understanding the bending moment 弯矩 is crucial for ensuring safety.

在桥梁设计中,了解bending moment 弯矩 对于确保安全至关重要。

作文

In the field of engineering, particularly in structural analysis, the term bending moment refers to the internal moment that induces bending of a beam or other structural element. This concept is crucial for understanding how structures respond to various loads and forces. A bending moment occurs when an external force is applied to a beam, causing it to bend. The amount of bending depends on the magnitude of the load, the distance from the support, and the properties of the material used in the beam.When engineers design structures, they must consider the bending moment to ensure that the materials used can withstand the stresses without failing. For example, when a beam is subjected to a load at its center, the bending moment will be greatest at that point. Engineers use equations to calculate the maximum bending moment and ensure that the beam has sufficient strength to resist this force.The calculation of bending moments can be illustrated with a simple example. Consider a simply supported beam with a point load applied at its center. The reactions at the supports can be calculated using static equilibrium equations. Once the reactions are known, the bending moment at any point along the beam can be determined by taking moments about that point. The resulting diagram, known as the bending moment diagram, visually represents how the moment varies along the length of the beam.Understanding bending moments is also essential for predicting deflections in beams. When a beam bends under load, it does not just experience internal forces; it also deforms. The relationship between the bending moment, the beam's material properties, and its geometry determines how much it will deflect. Engineers often use this information to ensure that deflections remain within acceptable limits for both safety and functionality.Moreover, the concept of bending moment is not limited to beams alone; it extends to various structural elements, including frames and slabs. In each case, the analysis of bending moments helps engineers design safe and efficient structures. Advanced software tools have been developed to assist in calculating these moments, allowing for more complex designs that were previously difficult to analyze manually.In summary, the bending moment is a fundamental concept in structural engineering that plays a critical role in the design and analysis of beams and other structural components. By understanding how bending moments work, engineers can create safer and more reliable structures that meet the demands of modern construction. As technology continues to evolve, the methods for analyzing bending moments will also advance, further enhancing our ability to build resilient structures that stand the test of time.

在工程领域,特别是在结构分析中,术语弯矩指的是导致梁或其他结构元件弯曲的内部力矩。这个概念对于理解结构如何响应各种载荷和力至关重要。当外部力施加到梁上时,就会发生弯矩,使其弯曲。弯曲的程度取决于载荷的大小、距离支撑的距离以及梁所用材料的特性。当工程师设计结构时,必须考虑弯矩,以确保所用材料能够承受应力而不失效。例如,当梁在其中心受到载荷时,弯矩将在该点达到最大。工程师使用方程来计算最大弯矩,并确保梁具有足够的强度来抵抗这一力量。弯矩的计算可以通过一个简单的例子来说明。考虑一根简单支撑的梁,在其中心施加一个点载荷。可以使用静力平衡方程计算支撑处的反应。一旦知道反应,就可以通过对该点进行力矩分析来确定梁沿任意点的弯矩。结果图,称为弯矩图,直观地表示了弯矩在梁长度上的变化。理解弯矩对于预测梁的挠度也至关重要。当梁在载荷下弯曲时,不仅会经历内部力;它也会变形。弯矩、梁的材料特性和几何形状之间的关系决定了它将弯曲多少。工程师通常使用这些信息来确保挠度保持在可接受的范围内,以确保安全和功能性。此外,弯矩的概念不仅限于梁;它还扩展到各种结构元件,包括框架和板。在每种情况下,弯矩的分析帮助工程师设计安全高效的结构。已经开发出高级软件工具来辅助计算这些弯矩,使得以前难以手动分析的更复杂的设计成为可能。总之,弯矩是结构工程中的基本概念,在梁和其他结构组件的设计和分析中起着关键作用。通过理解弯矩的工作原理,工程师可以创建更安全、更可靠的结构,以满足现代建筑的需求。随着技术的不断发展,分析弯矩的方法也将不断进步,进一步增强我们建造经得起时间考验的坚固结构的能力。