bending moment

简明释义

弯曲力矩

英英释义

例句

1.The bending moment 弯矩 at the fixed end of the cantilever beam is always higher than at the free end.

悬臂梁固定端的bending moment弯矩总是高于自由端的。

2.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前能够承受的最大bending moment弯矩。

3.To prevent structural failure, the bending moment 弯矩 must be within allowable limits.

为了防止结构失效，bending moment弯矩必须在允许的范围内。

4.Understanding the bending moment 弯矩 is crucial for designing safe structures.

理解bending moment弯矩对于设计安全结构至关重要。

5.The bending moment 弯矩 diagram helped visualize the forces acting on the beam.

bending moment弯矩图帮助可视化作用在梁上的力。

作文

In the field of engineering, particularly in structural engineering and mechanics, the term bending moment refers to the internal moment that induces bending of a beam or structural element. It is a crucial concept that helps engineers understand how structures will behave under various loads. When a beam is subjected to external forces, it experiences a tendency to bend, and the bending moment quantifies this tendency at any given section of the beam. This moment is caused by the forces acting on the beam and varies along its length depending on the distribution of these forces.To visualize the bending moment, consider a simple example of a beam supported at both ends with a load applied at its center. The weight of the load creates a downward force, which causes the beam to bend. The maximum bending moment occurs at the center of the beam where the load is applied, and it decreases towards the supports. Understanding this behavior is essential for engineers to design safe and effective structures that can withstand expected loads without failing.The calculation of the bending moment is often performed using the principles of statics. Engineers use equations derived from equilibrium conditions to determine the moments about specific points on the beam. For instance, if we denote the load by 'W' and the distance from the supports to the load by 'L', the bending moment at the center of the beam can be calculated as M = (W * L) / 4. This equation illustrates how the magnitude of the load and the span of the beam influence the bending moment experienced by the structure.Moreover, the bending moment is not only important for determining how much a beam will bend but also for assessing the stresses that develop within the material. When a beam bends, the top fibers are compressed while the bottom fibers are stretched. This differential stress distribution is critical for ensuring that the materials used in construction can withstand the forces without yielding or breaking.In summary, the bending moment is a fundamental concept in structural engineering that describes the internal moments causing a beam to bend under load. Its calculation and understanding are vital for designing structures that are both safe and efficient. Engineers must account for the bending moment when selecting materials, determining dimensions, and ensuring that the overall design meets safety standards. By mastering the concept of bending moment, engineers can contribute to the creation of resilient infrastructure that supports modern society's needs.

在工程领域，特别是结构工程和力学中，术语弯矩指的是引起梁或结构元件弯曲的内部力矩。这是一个至关重要的概念，帮助工程师理解结构在各种荷载下的行为。当梁受到外力作用时，它会产生弯曲的倾向，而弯矩量化了这种倾向在梁的任意截面上的表现。这个力矩是由作用在梁上的力引起的，并且根据这些力的分布沿着梁的长度变化。为了形象化弯矩，可以考虑一个简单的例子：一根两端支撑的梁，在其中心施加一个荷载。荷载的重量产生一个向下的力，导致梁弯曲。最大弯矩发生在梁的中心，即荷载施加的位置，而向支撑点的方向减小。理解这种行为对工程师设计安全有效的结构至关重要，以确保它们能够承受预期的荷载而不发生失效。弯矩的计算通常使用静力学原理进行。工程师使用从平衡条件推导出的方程来确定梁上特定点的力矩。例如，如果我们将荷载记为'W'，支撑点到荷载的距离记为'L'，则梁中心的弯矩可以计算为M = (W * L) / 4。这个方程说明了荷载的大小和梁的跨度如何影响结构所经历的弯矩的大小。此外，弯矩不仅对确定梁的弯曲程度重要，还对评估材料内部产生的应力至关重要。当梁弯曲时，上部纤维被压缩，而下部纤维被拉伸。这种应力分布的差异对于确保建筑材料能够承受这些力而不屈服或断裂至关重要。总之，弯矩是结构工程中的一个基本概念，描述了在荷载作用下使梁弯曲的内部力矩。其计算和理解对于设计既安全又高效的结构至关重要。工程师在选择材料、确定尺寸以及确保整体设计符合安全标准时，必须考虑弯矩。通过掌握弯矩的概念，工程师可以为创建支持现代社会需求的坚韧基础设施做出贡献。