moment distribution method

简明释义

力矩分配法

英英释义

例句

1.In our structural analysis class, we learned about the moment distribution method 弯矩分配法 and its applications.

在我们的结构分析课上，我们学习了弯矩分配法及其应用。

2.The moment distribution method 弯矩分配法 is particularly useful for indeterminate structures.

对于不确定结构，弯矩分配法特别有用。

3.Using the moment distribution method 弯矩分配法, we can efficiently analyze continuous beams under various loads.

使用弯矩分配法，我们可以高效分析在各种荷载下的连续梁。

4.The moment distribution method 弯矩分配法 allows for the distribution of moments throughout a structure under load.

在荷载作用下，弯矩分配法允许在整个结构中分配弯矩。

5.The engineer explained the moment distribution method 弯矩分配法 to calculate the reactions in the frame structure.

工程师解释了如何使用弯矩分配法来计算框架结构中的反应。

作文

The moment distribution method is a powerful technique used in structural engineering to analyze indeterminate structures. This method allows engineers to calculate the internal moments and reactions of beams and frames that cannot be solved using simple static equilibrium equations alone. Understanding the moment distribution method is crucial for any aspiring civil or structural engineer, as it provides a systematic approach to handling complex load distributions and support conditions.To begin with, the moment distribution method was developed by the engineer Hardy Cross in the early 20th century. It revolutionized the way engineers approached structural analysis, especially for continuous beams and rigid frames. The essence of the method lies in its iterative process, where initial moments are calculated based on fixed-end moments, and then these moments are adjusted through distribution factors until equilibrium is achieved.The first step in applying the moment distribution method involves determining the fixed-end moments for each member of the structure. These moments are calculated assuming the ends of the members are fixed, which simplifies the problem significantly. Once the fixed-end moments are established, the next step is to apply the distribution factors, which determine how the moments are shared between connected members at each joint. This is done by considering the relative stiffness of the members involved.After distributing the moments, the engineer must then perform a balancing step, where the moments at each joint are adjusted to ensure equilibrium. This process may need to be repeated several times, with the moments being recalculated at each iteration until the differences between successive calculations are negligible. This iterative nature of the moment distribution method is what makes it both powerful and sometimes time-consuming, but it also allows for a high degree of accuracy in the final results.One of the significant advantages of using the moment distribution method is its versatility. It can be applied to a wide range of structures, including those with varying cross-sections, different materials, and complex loading conditions. Additionally, it provides insights into how loads are transferred throughout a structure, which is essential for ensuring safety and stability.Despite the advent of modern computational tools and software, the moment distribution method remains an essential part of structural analysis education. Understanding this method helps engineers develop a deeper intuition about how structures behave under various loading scenarios. Moreover, it serves as a foundation for more advanced techniques, such as the finite element method, which is widely used in contemporary engineering practice.In conclusion, the moment distribution method is an invaluable tool in the field of structural engineering. Its systematic approach to analyzing indeterminate structures allows for accurate calculations of internal moments and reactions. While it may require more effort compared to simpler methods, the insights gained from its application are well worth the investment. As future engineers continue to learn and apply the principles of the moment distribution method, they will be better equipped to design safe and efficient structures that meet the demands of modern society.

矩阵分配法（moment distribution method）是结构工程中用于分析超静定结构的一种强大技术。这种方法使工程师能够计算无法仅通过简单的静力平衡方程解决的梁和框架的内部弯矩和反应。理解moment distribution method对于任何有志于成为土木或结构工程师的人来说都是至关重要的，因为它提供了一种系统的方法来处理复杂的荷载分布和支撑条件。首先，moment distribution method是由工程师哈迪·克罗斯在20世纪初开发的。它彻底改变了工程师处理结构分析的方式，尤其是对于连续梁和刚性框架。该方法的本质在于其迭代过程，其中根据固定端弯矩计算初始弯矩，然后通过分配因子调整这些弯矩，直到达到平衡。应用moment distribution method的第一步是确定结构每个构件的固定端弯矩。这些弯矩是在假设构件的两端是固定的情况下计算的，这大大简化了问题。一旦建立了固定端弯矩，下一步是应用分配因子，该因子决定了在每个节点连接的构件之间如何共享弯矩。这是通过考虑所涉及构件的相对刚度来完成的。在分配弯矩后，工程师必须进行平衡步骤，在每个节点调整弯矩以确保平衡。这个过程可能需要多次重复，在每次迭代中重新计算弯矩，直到连续计算之间的差异微不足道。这种moment distribution method的迭代特性使其既强大又有时耗时，但它也允许最终结果具有较高的准确性。使用moment distribution method的一个显著优势是其多功能性。它可以应用于各种结构，包括具有不同截面、不同材料和复杂荷载条件的结构。此外，它提供了关于荷载如何在结构中传递的见解，这对于确保安全和稳定至关重要。尽管现代计算工具和软件的出现，moment distribution method仍然是结构分析教育的重要组成部分。理解这种方法帮助工程师对结构在各种荷载场景下的行为产生更深入的直觉。此外，它为更高级的技术（如有限元方法）奠定了基础，而后者在当代工程实践中被广泛使用。总之，moment distribution method在结构工程领域是一种宝贵的工具。它系统的方法分析超静定结构，使内部弯矩和反应的准确计算成为可能。尽管与更简单的方法相比，它可能需要更多的努力，但从其应用中获得的见解是值得投资的。随着未来的工程师继续学习和应用moment distribution method的原则，他们将更好地装备自己设计安全高效的结构，以满足现代社会的需求。