modulus of section

简明释义

剖面模数

英英释义

The modulus of section is a geometric property of a cross-section of a structural element that indicates its ability to resist bending. It is defined as the ratio of the moment of inertia of the section about a neutral axis to the distance from the neutral axis to the farthest edge of the section.

截面模量是结构构件截面的几何特性,表示其抵抗弯曲的能力。它被定义为截面关于中性轴的惯性矩与中性轴到截面最远边缘的距离的比率。

例句

1.In bridge design, the modulus of section is crucial for ensuring safety under load.

在桥梁设计中,截面模量对于确保承载安全至关重要。

2.The architect specified a steel I-beam with an optimal modulus of section for the roof.

建筑师为屋顶指定了具有最佳截面模量的钢I型梁。

3.The engineer calculated the modulus of section to determine the beam's resistance to bending.

工程师计算了截面模量以确定梁的抗弯能力。

4.Calculating the modulus of section helps in selecting the right materials for construction.

计算截面模量有助于选择合适的建筑材料。

5.A higher modulus of section indicates a stronger structural element.

更高的截面模量表示结构元件更强。

作文

The concept of the modulus of section is fundamental in the field of structural engineering and mechanics. It plays a crucial role in determining how materials will behave under various loads and stresses. The modulus of section is essentially a measure of the strength of a structural member, such as a beam or a column, in relation to its shape and size. By understanding this concept, engineers can design safer and more efficient structures that can withstand the forces they encounter throughout their lifespan.To delve deeper into the significance of the modulus of section, we first need to understand what it represents. The modulus of section (also known as the section modulus) is defined as the ratio of the second moment of area (also known as the area moment of inertia) of a cross-section to the distance from the neutral axis to the outermost fiber of the section. This metric provides insight into how well a particular shape can resist bending. A higher modulus of section indicates a greater ability to withstand bending moments without failing, which is particularly important in applications where loads are applied perpendicular to the length of the member.For instance, consider a simple beam supported at both ends. When a load is applied at the center, the beam experiences bending. The distribution of stress along the length of the beam varies, with the maximum stress occurring at the outermost fibers. The modulus of section helps engineers calculate the maximum bending stress that the beam can endure before yielding or breaking. This allows for the selection of appropriate materials and dimensions to ensure safety and performance.In practical applications, different shapes have different modulus of section values. For example, an I-beam has a much higher modulus of section compared to a rectangular beam of the same material and weight. This is because the I-beam's design efficiently distributes material away from the neutral axis, enhancing its resistance to bending. Therefore, when designing structures, engineers often choose shapes that optimize the modulus of section to reduce material costs while maintaining safety standards.Moreover, the modulus of section is not only relevant in the design phase but also during the analysis and testing of existing structures. Engineers can assess whether a structure is still capable of carrying its intended loads by evaluating its modulus of section against the demands placed upon it. This assessment is critical for maintenance and retrofitting projects, ensuring that aging structures remain safe and functional.In conclusion, the modulus of section is an essential concept in structural engineering that directly influences the safety and efficiency of designs. By understanding and applying this metric, engineers can create structures that not only meet aesthetic and functional requirements but also adhere to safety regulations. As the field of engineering continues to evolve with advancements in materials and technology, the importance of the modulus of section remains a cornerstone of effective structural design and analysis. Thus, mastering this concept is vital for any aspiring engineer or architect working in the built environment.

截面模量的概念在结构工程和力学领域中是基础性的。它在确定材料在各种载荷和应力下的行为方面发挥着至关重要的作用。截面模量本质上是一个结构构件(如梁或柱)相对于其形状和尺寸的强度的度量。通过理解这一概念,工程师可以设计出更安全、更高效的结构,以承受在其使用寿命内遇到的各种力。要深入了解截面模量的重要性,我们首先需要理解它所代表的内容。截面模量(也称为截面模量)被定义为截面的二次面积矩(也称为面积惯性矩)与中性轴到截面外层纤维的距离的比率。这个指标提供了对特定形状抵抗弯曲能力的洞察。较高的截面模量表明在不发生失效的情况下抵抗弯矩的能力更强,这在施加垂直于构件长度的载荷的应用中尤为重要。例如,考虑一个简单的两端支撑的梁。当在中心施加载荷时,梁会经历弯曲。沿着梁的长度应力分布各异,最大应力发生在最外层的纤维上。截面模量帮助工程师计算梁在屈服或断裂之前能够承受的最大弯曲应力。这使得选择合适的材料和尺寸以确保安全和性能成为可能。在实际应用中,不同的形状具有不同的截面模量值。例如,I型梁的截面模量比相同材料和重量的矩形梁要高得多。这是因为I型梁的设计有效地将材料分布到中性轴之外,从而增强了其抵抗弯曲的能力。因此,在设计结构时,工程师通常选择优化截面模量的形状,以降低材料成本,同时保持安全标准。此外,截面模量不仅在设计阶段相关,在现有结构的分析和测试过程中也很重要。工程师可以评估结构是否仍能承载其预期载荷,通过将其截面模量与施加的需求进行比较。这种评估对于维护和加固项目至关重要,确保老化结构保持安全和功能。总之,截面模量是结构工程中的一个基本概念,直接影响设计的安全性和效率。通过理解和应用这一指标,工程师可以创建既满足美学和功能要求又符合安全法规的结构。随着材料和技术的进步,工程领域不断发展,截面模量的重要性仍然是有效结构设计和分析的基石。因此,掌握这一概念对任何希望在建筑环境中工作的工程师或建筑师来说都是至关重要的。

相关单词

modulus

modulus详解:怎么读、什么意思、用法