proportionality limit

简明释义

比例极限

英英释义

The proportionality limit is the maximum stress or load that a material can withstand while still exhibiting linear elastic behavior, meaning that the deformation is directly proportional to the applied load.

比例极限是材料在仍然表现出线性弹性行为的情况下能够承受的最大应力或负载,这意味着变形与施加的负载成正比。

例句

1.The environmental regulations impose a proportionality limit (比例限制) on emissions to protect public health.

环境法规对排放施加了proportionality limit (比例限制),以保护公众健康。

2.During negotiations, both parties agreed to a proportionality limit (比例限制) to ensure equitable distribution of benefits.

在谈判过程中,双方同意设定proportionality limit (比例限制),以确保利益的公平分配。

3.In the context of law, the judge explained that the punishment must adhere to the proportionality limit (比例限制) to ensure fairness in sentencing.

在法律背景下,法官解释说,惩罚必须遵循proportionality limit (比例限制),以确保判刑的公正性。

4.In economics, the proportionality limit (比例限制) helps determine the optimal allocation of resources among competing needs.

在经济学中,proportionality limit (比例限制) 有助于确定在竞争需求之间资源的最佳分配。

5.The architect designed the building with a proportionality limit (比例限制) to maintain aesthetic balance and structural integrity.

建筑师在设计建筑时考虑了proportionality limit (比例限制),以保持美学平衡和结构完整性。

作文

In the realm of physics and engineering, the concept of proportionality limit plays a crucial role in understanding material behavior under stress. The proportionality limit refers to the maximum stress that a material can withstand while still behaving elastically. Beyond this limit, the material will begin to deform permanently. This concept is fundamental in various applications, from constructing buildings to manufacturing everyday products.To elaborate, when a material is subjected to stress, it initially deforms in a linear manner, meaning that the relationship between stress and strain is directly proportional. This linear region is characterized by Hooke's Law, which states that the force exerted on an elastic object is proportional to the distance it is stretched or compressed. The point at which this linear behavior ceases is known as the proportionality limit.比例极限Understanding the proportionality limit is essential for engineers and designers. For instance, when designing a bridge, engineers must ensure that the materials used can withstand the forces applied to them without exceeding the proportionality limit. If the limit is exceeded, not only does the material risk permanent deformation, but it may also lead to catastrophic failures. Therefore, knowing the proportionality limit allows for safer and more efficient designs.Moreover, the proportionality limit varies between different materials. Metals, for example, generally have a higher proportionality limit compared to plastics. This difference is vital when selecting materials for specific applications. Engineers often conduct tests to determine the proportionality limit of materials, allowing them to make informed decisions based on empirical data. In addition to engineering, the concept of proportionality limit also finds relevance in economics and social sciences. Here, it can refer to the limits of proportional responses in various systems, such as resource allocation or policy implementation. For instance, if a government increases funding for education, there may be a proportionality limit beyond which additional funding does not lead to significantly better educational outcomes. Understanding these limits helps policymakers create more effective strategies that maximize benefits while minimizing waste.In conclusion, the proportionality limit is a fundamental concept that transcends various fields, from engineering to economics. Its implications are profound, influencing material selection, structural integrity, and even policy effectiveness. By understanding and respecting the proportionality limit, professionals can enhance safety, efficiency, and overall success in their respective domains. As we continue to innovate and push boundaries in technology and society, recognizing these limits will be crucial in ensuring sustainable progress.

在物理和工程领域,比例极限的概念在理解材料在应力下的行为中起着至关重要的作用。比例极限是指材料在仍然表现出弹性时能够承受的最大应力。在这个极限之外,材料将开始永久变形。这个概念在各种应用中是基础性的,从建筑物的构造到日常产品的制造。进一步说,当材料受到应力时,它最初以线性的方式变形,这意味着应力与应变之间的关系是直接成比例的。这个线性区域的特点是胡克定律,即施加在弹性物体上的力与其被拉伸或压缩的距离成正比。停止这种线性行为的点被称为比例极限比例极限理解比例极限对工程师和设计师至关重要。例如,在设计桥梁时,工程师必须确保所用材料能够承受施加在它们上的力量,而不会超过比例极限。如果超过了这个极限,材料不仅有永久变形的风险,还可能导致灾难性的故障。因此,了解比例极限可以使设计更安全、更高效。此外,比例极限在不同材料之间有所不同。例如,金属通常具有比塑料更高的比例极限。这种差异在选择特定应用的材料时至关重要。工程师通常会进行测试,以确定材料的比例极限,使他们能够根据实证数据做出明智的决策。除了工程,比例极限的概念在经济学和社会科学中也有相关性。在这里,它可以指各种系统中比例反应的限制,例如资源分配或政策实施。例如,如果一个政府增加教育经费,可能存在一个比例极限,超过这个极限,额外的资金不会显著改善教育成果。理解这些限制有助于政策制定者制定更有效的策略,以最大化收益,同时最小化浪费。总之,比例极限是一个基本概念,跨越多个领域,从工程到经济学。它的影响深远,影响材料选择、结构完整性,甚至政策有效性。通过理解和尊重比例极限,专业人士可以提高各自领域的安全性、效率和整体成功。随着我们继续在技术和社会上创新和突破,认识到这些限制对于确保可持续发展至关重要。

相关单词

proportionality

proportionality详解:怎么读、什么意思、用法