second moment of area

简明释义

断面惯性矩

英英释义

例句

1.In mechanical design, the second moment of area 面积的二次矩 helps predict how materials will deform under load.

在机械设计中，第二次面积矩 面积的二次矩 有助于预测材料在载荷下的变形情况。

2.To ensure safety, the second moment of area 面积的二次矩 must be calculated for all load-bearing elements.

为了确保安全，所有承重构件都必须计算第二次面积矩 面积的二次矩。

3.The calculation of the second moment of area 面积的二次矩 is essential for determining the bending stress in beams.

计算第二次面积矩 面积的二次矩 对于确定梁中的弯曲应力至关重要。

4.The second moment of area 面积的二次矩 is a critical factor in the stability of tall structures.

对于高大结构而言，第二次面积矩 面积的二次矩 是一个关键因素。

5.Engineers often use the second moment of area 面积的二次矩 to analyze the structural integrity of bridges.

工程师通常使用第二次面积矩 面积的二次矩 来分析桥梁的结构完整性。

作文

The term second moment of area is a fundamental concept in structural engineering and mechanics. It is used to describe how a cross-section of a beam or structural element resists bending and deflection under load. Understanding the second moment of area is crucial for engineers when designing structures that need to withstand various loads while ensuring safety and stability.The second moment of area, also known as the area moment of inertia, quantifies the distribution of an area relative to an axis. It is mathematically defined as the integral of the area times the square of the distance from the axis of interest. For example, for a simple rectangular section, the second moment of area can be calculated using the formula I = (b*h^3)/12, where 'b' is the width and 'h' is the height of the rectangle. This formula highlights how the geometry of the cross-section plays a significant role in its ability to resist bending.In practical applications, the second moment of area is essential when selecting materials and designing components for buildings, bridges, and other structures. A higher second moment of area indicates that a beam can carry greater loads without excessive bending. Therefore, engineers often compare different shapes and sizes of cross-sections to optimize their designs. For instance, an I-beam has a much larger second moment of area compared to a solid rectangular beam of the same weight, making it more efficient for carrying loads over long spans.Moreover, the second moment of area is not only important for initial design but also for analyzing existing structures. Engineers perform calculations to ensure that the current design can handle expected loads, including factors such as live loads, dead loads, and environmental influences like wind and earthquakes. If a structure is found to have insufficient second moment of area, modifications may be necessary to enhance its strength or stiffness.In conclusion, the second moment of area is a critical parameter in structural engineering that influences the performance of beams and other structural elements. By understanding and applying this concept, engineers can create safe and efficient designs that meet the demands of modern construction. The importance of the second moment of area cannot be overstated, as it plays a vital role in ensuring that structures are both functional and resilient against various forces. As we continue to advance in engineering practices and materials science, the principles surrounding the second moment of area will remain a cornerstone of structural design and analysis.

术语二次面积矩是结构工程和力学中的一个基本概念。它用于描述梁或结构元件的截面如何抵抗弯曲和在载荷下的挠曲。理解二次面积矩对于工程师在设计需要承受各种载荷的结构时确保安全和稳定至关重要。二次面积矩，也称为面积惯性矩，用于量化相对于某一轴的面积分布。它的数学定义是面积与距离轴的平方的积分。例如，对于一个简单的矩形截面，可以使用公式I = (b*h^3)/12来计算二次面积矩，其中'b'是宽度，'h'是矩形的高度。这个公式突出了截面的几何形状在其抵抗弯曲能力中的重要性。在实际应用中，二次面积矩在选择材料和设计建筑、桥梁及其他结构的组件时至关重要。较高的二次面积矩表明梁可以在不发生过度弯曲的情况下承载更大的负荷。因此，工程师通常会比较不同形状和尺寸的截面，以优化他们的设计。例如，I型梁相比于相同重量的实心矩形梁具有更大的二次面积矩，使其在长跨距承载负荷时更加高效。此外，二次面积矩不仅对初步设计重要，而且对现有结构的分析也至关重要。工程师进行计算以确保当前设计能够承受预期负荷，包括活荷载、死荷载以及风和地震等环境影响。如果发现结构的二次面积矩不足，可能需要进行修改以增强其强度或刚度。总之，二次面积矩是结构工程中的一个关键参数，影响梁和其他结构元件的性能。通过理解和应用这一概念，工程师可以创建既安全又高效的设计，以满足现代建筑的需求。二次面积矩的重要性不容小觑，因为它在确保结构功能和抵御各种力方面发挥着重要作用。随着我们在工程实践和材料科学上的不断进步，围绕二次面积矩的原则将继续成为结构设计和分析的基石。