geometrical moment of inertia

简明释义

断面惯性矩

英英释义

例句

1.When designing a bridge, engineers must consider the geometrical moment of inertia 几何惯性矩 of the materials used.

在设计桥梁时，工程师必须考虑所用材料的geometrical moment of inertia 几何惯性矩。

2.The engineer calculated the geometrical moment of inertia 几何惯性矩 of the beam to ensure it could support the load.

工程师计算了梁的geometrical moment of inertia 几何惯性矩以确保它能够支撑负载。

3.The geometrical moment of inertia 几何惯性矩 helps in analyzing the stability of the structure under various loads.

geometrical moment of inertia 几何惯性矩有助于分析结构在各种载荷下的稳定性。

4.The formula for calculating the geometrical moment of inertia 几何惯性矩 varies depending on the shape of the cross-section.

计算geometrical moment of inertia 几何惯性矩的公式取决于截面的形状。

5.In structural design, the geometrical moment of inertia 几何惯性矩 is crucial for determining the deflection of beams.

在结构设计中，geometrical moment of inertia 几何惯性矩对于确定梁的挠度至关重要。

作文

The concept of geometrical moment of inertia plays a crucial role in the field of engineering and physics, particularly in the analysis of structures and mechanical systems. Understanding this term requires a grasp of both its definition and its practical applications. The geometrical moment of inertia (中文释义：几何惯性矩) is a property of a shape that quantifies how its mass is distributed with respect to an axis. This distribution affects how the shape resists bending and twisting, making it essential for engineers when designing beams, columns, and other structural elements.To delve deeper into the significance of the geometrical moment of inertia, consider a simple beam subjected to bending forces. When a load is applied to the beam, it experiences stress and strain, which can lead to deformation. The degree of this deformation is influenced by the geometrical moment of inertia of the beam's cross-section. A higher geometrical moment of inertia indicates that the material is distributed further from the neutral axis, resulting in greater resistance to bending. This principle is why I-beams, which have a high geometrical moment of inertia, are commonly used in construction; they provide strength without excessive weight.In addition to its importance in structural engineering, the geometrical moment of inertia also finds applications in the design of mechanical components. For instance, rotating machinery parts like flywheels and gears must be designed with their geometrical moment of inertia in mind to ensure efficient operation. A component with a suitable geometrical moment of inertia can help maintain stability and reduce vibrations during operation.Moreover, the calculation of the geometrical moment of inertia is fundamental in various fields, including aerospace engineering and automotive design. Engineers often use software tools that incorporate the principles of the geometrical moment of inertia to simulate how different designs will perform under various loads and conditions. By doing so, they can optimize structures for safety and performance before any physical prototypes are built.In conclusion, the geometrical moment of inertia (中文释义：几何惯性矩) is a pivotal concept in engineering and physics, influencing the design and analysis of structures and mechanical systems. Its importance cannot be overstated, as it directly affects how materials behave under load and how efficiently they can be utilized in various applications. As technology advances, the understanding and application of the geometrical moment of inertia will continue to evolve, leading to even more innovative designs and solutions in the engineering world.