diameter of gyration

简明释义

回转直径

英英释义

例句

1.To ensure safety, the architect reviewed the diameter of gyration of the columns used.

为了确保安全，建筑师审查了所用柱子的回转直径。

2.The diameter of gyration helps in understanding how a beam will respond to loads.

回转直径有助于理解梁在受力时的反应。

3.The engineer calculated the diameter of gyration to assess the stability of the structure.

工程师计算了回转直径以评估结构的稳定性。

4.In structural analysis, the diameter of gyration is crucial for determining buckling resistance.

在结构分析中，回转直径对确定屈曲抗力至关重要。

5.Calculating the diameter of gyration is essential for designing tall buildings.

计算回转直径对于设计高层建筑至关重要。

作文

The concept of the diameter of gyration is fundamental in the field of structural engineering and mechanics. It refers to a measure that helps in understanding how the mass of an object is distributed relative to an axis of rotation. Specifically, the diameter of gyration can be defined mathematically as the square root of the ratio of the moment of inertia of a body about an axis to its mass. This parameter is essential when analyzing the stability and strength of structures, particularly in the design of beams and columns. In practical terms, the diameter of gyration provides engineers with insight into how a structure will respond to various loads and forces. For instance, when a column is subjected to axial loads, the diameter of gyration helps determine the critical load at which buckling may occur. A larger diameter of gyration indicates that the material is more resistant to buckling, which is a crucial consideration in construction projects. Moreover, the diameter of gyration plays a pivotal role in the analysis of slender structures. Slenderness ratio, which is the ratio of the length of a column to its diameter of gyration, is a key factor in assessing whether a column will buckle under load. Engineers often use this ratio to ensure that their designs will withstand the forces they encounter during their lifecycle. Understanding the diameter of gyration also aids in optimizing material usage in construction. By knowing the diameter of gyration, engineers can design structures that are both efficient and safe. They can select materials that provide the necessary strength while minimizing weight, leading to cost-effective and sustainable designs. In addition to its applications in structural engineering, the diameter of gyration is also relevant in fields such as mechanical engineering and aerospace engineering. For example, in the design of rotating machinery, the diameter of gyration can influence the dynamic response of components, affecting factors like vibration and stability. Understanding how mass is distributed around an axis becomes crucial when designing parts that will experience high rotational speeds. In conclusion, the diameter of gyration is an essential concept that spans multiple engineering disciplines. Its significance in structural analysis, design optimization, and dynamic response makes it a vital parameter for engineers. By comprehensively understanding the diameter of gyration, professionals can create safer, more efficient structures and machines that meet the demands of modern engineering challenges. Ultimately, the mastery of this concept not only enhances the quality of engineering designs but also contributes to the overall safety and sustainability of our built environment.

旋转直径的概念在结构工程和力学领域中是基础性的。它指的是一个测量，帮助理解物体的质量如何相对于旋转轴分布。具体来说，旋转直径可以用数学公式定义为一个物体关于某一轴的惯性矩与其质量的比值的平方根。这个参数在分析结构的稳定性和强度时至关重要，尤其是在梁和柱的设计中。在实际应用中，旋转直径为工程师提供了对结构在各种载荷和力下反应的洞察。例如，当一个柱子受到轴向载荷时，旋转直径有助于确定可能发生屈曲的临界载荷。较大的旋转直径表明材料对屈曲的抵抗能力更强，这在建筑项目中是一个关键的考虑因素。此外，旋转直径在细长结构的分析中也起着重要作用。细长比，即柱子的长度与其旋转直径的比率，是评估柱子在载荷下是否会屈曲的关键因素。工程师通常使用这个比率来确保他们的设计能够承受在生命周期内遇到的各种力量。了解旋转直径还有助于优化建筑中的材料使用。通过了解旋转直径，工程师可以设计出既高效又安全的结构。他们可以选择提供必要强度而又最小化重量的材料，从而实现成本效益高且可持续的设计。除了在结构工程中的应用外，旋转直径在机械工程和航空航天工程等领域也具有相关性。例如，在旋转机械的设计中，旋转直径可能会影响部件的动态响应，从而影响振动和稳定性。当设计将经历高转速的部件时，理解质量如何围绕轴分布变得至关重要。总之，旋转直径是一个跨越多个工程学科的重要概念。它在结构分析、设计优化和动态响应中的重要性使其成为工程师的一个重要参数。通过全面理解旋转直径，专业人员可以创造出更安全、更高效的结构和机器，以满足现代工程挑战的需求。最终，对这一概念的掌握不仅提高了工程设计的质量，还有助于我们建成环境的整体安全性和可持续性。