radius of gyration

简明释义

惯量半径

英英释义

例句

1.For a cylindrical object, the radius of gyration can be calculated using its height and radius.

对于一个圆柱形物体，回转半径可以通过其高度和半径来计算。

2.In structural analysis, the radius of gyration is crucial for determining buckling resistance.

在结构分析中，回转半径对确定屈曲抗力至关重要。

3.The radius of gyration helps in assessing the stability of tall buildings under wind loads.

回转半径有助于评估高层建筑在风荷载下的稳定性。

4.The engineer calculated the radius of gyration to optimize the design of the beam.

工程师计算了回转半径以优化梁的设计。

5.The radius of gyration is defined as the square root of the ratio of the moment of inertia to the area.

回转半径被定义为惯性矩与面积比的平方根。

作文

The concept of radius of gyration is crucial in the fields of engineering and physics, particularly in understanding how objects behave under various forces. The radius of gyration can be defined as a measure that indicates how far from the axis of rotation an object's mass is distributed. This term is often used in structural engineering to assess the stability and strength of beams and columns. Essentially, it helps engineers determine how much load a structure can safely bear before it fails. To elaborate, when a beam is subjected to bending, the distribution of its material plays a significant role in its ability to resist deformation. The radius of gyration provides a quantitative way to express this distribution. It is calculated using the formula: k = √(I/A), where 'k' represents the radius of gyration, 'I' is the moment of inertia of the cross-section, and 'A' is the area of that cross-section. A higher radius of gyration indicates that the material is distributed further away from the neutral axis, which generally leads to greater resistance against buckling.In practical applications, the radius of gyration is used to design various structural elements. For example, in skyscrapers, the design must account for wind loads and seismic activity. By analyzing the radius of gyration, engineers can optimize the shape and size of structural components to ensure safety and stability. Moreover, the radius of gyration is not limited to static structures; it also plays a role in dynamic systems. In mechanical engineering, the radius of gyration is important in analyzing rotating bodies. For instance, in the case of a spinning disk, the radius of gyration helps predict how the disk will respond to applied torques and angular accelerations. Understanding this relationship is vital for designing efficient machinery and ensuring operational safety.In addition to engineering, the radius of gyration has applications in other fields such as biology and finance. In biology, it can describe the distribution of mass in organisms, which can affect their movement and stability. In finance, the concept can be metaphorically applied to understand the distribution of asset values and risks, helping investors make informed decisions. In conclusion, the radius of gyration serves as a fundamental concept across various disciplines. Its ability to quantify the distribution of mass relative to an axis of rotation allows engineers, scientists, and analysts to make more accurate predictions about stability and behavior under load. As technology advances and new materials are developed, understanding the radius of gyration will remain essential for innovation and safety in design and analysis. Whether in constructing a tall building or analyzing the dynamics of a spinning object, the radius of gyration is a key factor that cannot be overlooked.

旋转半径的概念在工程和物理领域至关重要，特别是在理解物体在各种力作用下的行为时。旋转半径可以定义为一个度量，指示物体的质量如何分布在旋转轴的远离程度。这个术语通常用于结构工程，以评估梁和柱的稳定性和强度。本质上，它帮助工程师确定结构在失败之前能够安全承受多少负载。进一步阐述，当梁受到弯曲时，其材料的分布在其抗变形能力中起着重要作用。旋转半径提供了一种定量表达这种分布的方法。它是通过公式：k = √(I/A)计算的，其中'k'表示旋转半径，'I'是横截面的惯性矩，'A'是该横截面的面积。较高的旋转半径表示材料分布在中性轴的更远处，这通常会导致更大的抗屈曲能力。在实际应用中，旋转半径被用于设计各种结构元素。例如，在摩天大楼中，设计必须考虑风载荷和地震活动。通过分析旋转半径，工程师可以优化结构组件的形状和大小，以确保安全和稳定。此外，旋转半径不仅限于静态结构；它在动态系统中也发挥着作用。在机械工程中，旋转半径在分析旋转物体时非常重要。例如，在旋转盘的情况下，旋转半径有助于预测盘子对施加的扭矩和角加速度的响应。理解这种关系对于设计高效机械和确保操作安全至关重要。除了工程，旋转半径在生物学和金融等其他领域也有应用。在生物学中，它可以描述生物体内质量的分布，这可能影响它们的运动和稳定性。在金融中，这个概念可以比喻性地应用于理解资产价值和风险的分布，帮助投资者做出明智的决策。总之，旋转半径作为一个基本概念在各个学科中发挥着作用。它能够量化相对于旋转轴的质量分布，使工程师、科学家和分析师能够更准确地预测在载荷下的稳定性和行为。随着技术的进步和新材料的发展，理解旋转半径将继续成为设计和分析创新与安全的关键。无论是在建造高楼大厦还是分析旋转物体的动力学，旋转半径都是一个不容忽视的关键因素。